Find the equation of the line with Slope = 6 and passing through (7,49). Write your equation in the form y=mx+b
y= ?

Answers

Answer 1
Final answer:

Using the slope-intercept form, the equation of the line with slope 6 passing through the point (7,49) is obtained as y = 6x + 7.

Explanation:

To find the equation of a line given the slope and a point it passes through (7,49), we'll use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Since we are given the slope to be 6, we can substitute this into the equation, getting y = 6x + b. To find b, the y-intercept, we substitute the coordinates of the given point into the equation: 49 = 6(7) + b. After solving, we get b = 49 - 42, which simplifies to b = 7. Therefore, the complete equation of the line is y = 6x + 7.


Related Questions

NEED HELP WITH A MATH QUESTION

Answers

Answer:

87.88 ft^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 16.9 * 10.4

= 87.88 ft^2.

Answer:

87.88 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 16. 9 and h = 10.4, so

A = 0.5 × 16.9 × 10.4 = 87.88 ft²

sollve for x (x-5)=4x-5

Answers

Answer:

x=0

Step-by-step explanation:

(x-5)=4x-5

Subtract x from each side

x-5-x=4x-x-5

-5 = 3x-5

Add 5 to each side

-5+5 = 3x-5+5

0 = 3x

Divide by 3

0/3 = 3x/3

0 =x

x=0

Solve F(x) for given domain. Include all of your work in your final work submit your solution

F(x)=x^2+2
F(x^2)=
PLEASE HELP I'AM SCREAMING FOR HELP!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Actually, you have not "given" the domain.

The domain of F(x)=x^2+2 is "the set of all real numbers," because F(x)=x^2+2 is a polynomial.

F(x^2) = (x^2) + 2 = x^4 + 2.  Again, this is a polynomial and the domain is "the set of all real numbers."

Double check to ensure that you have copied down this problem correctly.

Factor completely 2x3 + x2 − 18x − 9.
(x2 − 9)(2x + 1)
(x − 3)(x + 3)(2x − 1)
(x − 3)(x + 3)(2x + 1)
(2x − 3)(2x + 3)(x − 1)

Answers

(2x3+x2) +(-18x-9)
X2(2x+1) -9(2x+1)
(X2-9)(2x+1)

Answer:

Option C: (x − 3)(x + 3)(2x + 1)

Step-by-step explanation:


Which expression represents the prime factorization of 96?
A. 2 x 2 x 3 x 8
B. 2 x 2 x 2 x 12
C. 2 x 2 x 2 x 2 x 2 x 3
D. 2 x 2 x 2 x 2 x 2 x 3 x 3

Answers

It is not A. because 8 is not a prime number.

It is not B. because 12 is not a prime number.

C. 2 x 2 x 2 x 2 x 2 x 3 = 4*4*6= 96

D. 2 x 2 x 2 x 2 x 2 x 3 x 3= 4*4*6*3=16*18= 288

Answer is C. -2 x 2 x 2 x 2 x 2 x 3 : 96 ( not D. = 298 , 298 is greater than 96)

The prime factorization of the number 96 is 2 x 2 x 2 x 2 x 2 x 3. The correct option is C.

What is prime factorization?

A number can be expressed as a product of its prime factors through the process of prime factorization. Prime factorization is the process of factorizing the bigger numbers in a way that all the numbers are prime.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is any natural number greater than one that is not prime.

The given number is 96. The factorization of the number 96 will be done as below:-

96 = 2 x 2 x 2 x 2 x 2 x 3

Therefore, the prime factorization of the number 96 is 2 x 2 x 2 x 2 x 2 x 3. The correct option is C.

To know more about prime factorization follow

https://brainly.com/question/18187355

#SPJ2

use the substitution method to solve the system of equations choose the correct orderd pair. 3x-y=7 2x-2y=2

Answers

Answer:

(3,2)

Step-by-step explanation:

We are given the system:

3x-y=7

2x-2y=2.

We are asked to solve this by substitution.  We need to pick an equation and pick a variable from that equation to solve for that variable.

I really like either for this.  Some people might go with the first one though. Let's do that.  I will solve the first one for y.

3x-y=7

Subtract 3x on both sides:

   -y=-3x+7

Divide both sides by -1:

     y=3x-7

Now we are ready for substitution.  We are going to plug this equation into the second equation giving us:

2x-2y=2 with y=3x-7 gives us:

2x-2(3x-7)=2

Distribute:

2x-6x+14=2

Combine like terms:

-4x+14=2

Subtract 14 on both sides:

-4x      =2-14

Simplify:

-4x       =-12

Divide both sides by -4:

  x       =-12/-4

Simplify:

 x         =3

So using y=3x-7 and x=3, I will find y now.

y=3x-7 if x=3

y=3(3)-7   (I inserted 3 for x since we had x=3)

y=9-7       (Simplified)

y=2           (Simplified)

The answer is (x,y)=(3,2).

Which is an exponential decay function?

Answers

Step-by-step explanation:

exponential decay functions are written in the form :

[tex]y=ab^{x}[/tex]

where b is less than 1

if we look at the 3rd choice and consider the term on the right.

[tex](8/7)^{-x}[/tex]

= [tex](7/8)^{x}[/tex]

If we compare this to the general form above,

b = 7/8 (which is less than 1)

hence the 3rd choice is correct.

Answer:

The function which is an exponential decay function is:

                       [tex]f(x)=\dfrac{3}{2}(\dfrac{8}{7})^{-x}[/tex]

Step-by-step explanation:

We know that an exponential  function is in the form of:

          [tex]f(x)=ab^x[/tex]

where a>0 and  if 0<b<1 then the function is a exponential decay function.

and if b>1 then the function is a exponential growth function.

a)

[tex]f(x)=\dfrac{3}{4}(\dfrac{7}{4})^x[/tex]

Here

[tex]b=\dfrac{7}{4}>1[/tex]

Hence, the function is a exponential growth function.

b)

[tex]f(x)=\dfrac{2}{3}(\dfrac{4}{5})^{-x}[/tex]

We know that:

[tex]a^{-x}=(\dfrac{1}{a})^x[/tex]

Hence, we have the function f(x) as:

[tex]f(x)=\dfrac{2}{3}(\dfrac{5}{4})^x[/tex]

Here

[tex]b=\dfrac{5}{4}>1[/tex]

Hence, the function is a exponential growth function.

c)

[tex]f(x)=\dfrac{3}{2}(\dfrac{8}{7})^{-x}[/tex]

We know that:

[tex]a^{-x}=(\dfrac{1}{a})^x[/tex]

Hence, we have the function f(x) as:

[tex]f(x)=\dfrac{3}{2}(\dfrac{7}{8})^x[/tex]

Here

[tex]b=\dfrac{7}{8}<1[/tex]

Hence, the function is a exponential decay function.

d)

[tex]f(x)=\dfrac{1}{3}(\dfrac{9}{2})^x[/tex]

Here

[tex]b=\dfrac{9}{2}>1[/tex]

Hence, the function is a exponential growth function.

Multiply.
(x + 7)(3x - 2)

( please answer with
A.
B.
C.
D.

Answers

Answer:

A. 3x^2+19x-14

Step-by-step explanation:

Applying the distributive property the given expression is equal to 3x²+19x-14 (Letter A).

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acCommutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=bZero= b*0=0

For evaluating the given question, you should apply the distributive property.

The question gives the expression (x+7)(3x-2). Thus, from the distributive property, you have:

3x²-2x+21x-14

3x²+19x-14

From the given options of the question, 3x²+19x-14 is shown in option A.

Read more about the distributive property  here:

brainly.com/question/4077386

#SPJ6

Sketch the graph of y= (x - 2)2 - 16, then select the graph that corresponds
to your sketch.
-20
O A. Graph A
O B. Graph B
O C. Graph c
O D. Graph D

Answers

If there was an illustration, I would be happy to assist you.

Raina brought a table for 627 the price was 35%less than the original price

Answers

Answer:

964.62

Step-by-step explanation:

Let x = the original price

35% less than means we pay 65% of  the original price

627 = 65% x

Changing to decimal form

627 = .65x

Divide each side by .65

627/.65 = .65x/.65

964.6153846 =x

Rounding to the near cent

964.62

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)

Answers

Answer:

[tex]y+6=m(x+2)[/tex]

where I would have to look at the table to know [tex]m[/tex].

Step-by-step explanation:

Point-slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where [tex]m \text{ is the slope and } (x_1,y_1) \text{ is a point on that line}[/tex]

You are given [tex](x_1,y_1)=(-2,-6) \text{, but no value for }m[/tex].

So we know we are looking for an equation that looks like this:

[tex]y-(-6)=m(x-(-2))[/tex]

If you simplify this looks like:

[tex]y+6=m(x+2)[/tex]

Answer:

d

Step-by-step explanation:

a cars fuel efficiency is no less the 45 mpg use F to find the cars fuel efficiency. how do i turn this into an inequality math problem

Answers

Answer:

  F ≥ 45

Step-by-step explanation:

"No less than" means "greater than or equal to", so you can write the expression as ...

  F ≥ 45 . . . . . miles per gallon

Ivan's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Ivan's tank hold?

Answers

Answer: 14 gallons of gas.

Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.

7/10 - 2/10 = 5/10.

7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.

7 x 2 = 14

14 gallons of gas will fill his tank all the way.

I hope this helps!

Ivan's gas tank can hold 17.5 gallons when full after being 1/5 full and then adding 7 gallons.

The total capacity of Ivan's gas tank:

From 1/5 to 7/10 full means it increased by 4/10 or 2/5 of its capacity.Since 7 gallons represent 2/5, to find the total capacity, we divide 7 by 2/5 or multiply by 5/2.Therefore, the total capacity of Ivan's gas tank is 17.5 gallons.

7hr= how many minutes ​

Answers

Answer:

420 minutes

Step-by-step explanation:

1 hour = 60 minutes

7 * 1 hour = 7 * 60 minutes

7 hours = 420 minutes

We know that 1 hour = 60 minutes

To find how many minutes is in seven hours, we can multiply 60 by 7 and we will get a product of 420.

1 hour = 60 minutes

2 hours = 120 minutes

3 hours = 180 minutes

4 hours = 240 minutes

5 hours = 300 minutes

6 hours = 360 minutes

7 hours = 420 minutes

Select all that apply.
Which numbers are not perfect squares?
25
20
18
36
16
14
24

Answers

Answer:

14, 18, 20, and 24 are not perfect squares.

The numbers that are not perfect squares are:

1. 20

2. 18

3. 14

4. 24

These numbers do not have integer square roots, which means they are not perfect squares.

A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 25 is a perfect square because [tex]\(5 \times 5 = 25\).[/tex]

Let's examine each number:

1. 25 - This is a perfect square because  [tex]\(5 \times 5 = 25\).[/tex]

2. 20 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.

3. 18 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.

4. 36 - This is a perfect square because [tex]\(6 \times 6 = 36\).[/tex]

5. 16 - This is a perfect square because [tex]\(4 \times 4 = 16\).[/tex]

6. 14 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.

7. 24 - This is not a perfect square. It cannot be expressed as the product of an integer multiplied by itself.

Therefore, the numbers that are not perfect squares are 20, 18, 14, and 24. They cannot be represented as the square of an integer. The other numbers, 25, 36, and 16, are perfect squares as they can be expressed as the square of an integer.

The complete question is here.

Which numbers are not perfect squares? 25 20 18 36 16 14 24

What is the value of "c" in the quadratic equation 3x 2 + 5x + 7 = 0?

3
5
7

Answers

Answer:

[tex]c=7[/tex]

Step-by-step explanation:

They are just asking you to compare

[tex]ax^2+bx+c=0[/tex] to

[tex]3x^2+5x+7=0[/tex].

What constant values are in the place of [tex]a,b, \text{ and } c[/tex].

[tex]a=3[/tex]

[tex]b=5[/tex]

[tex]c=7[/tex]

C= 7

3x^2+5x+7
ax^2+bx+C

7. Which two equations are equivalent?
A. y = (x + 3)2 and y = x2 + 6
B. y = (x – 5)2 and y = x2 – 25
c. y = (x – 3)2 and y = x2 - 6x + 9
D. y = (x + 5)2 and y = x2 + 25x + 10

Answers

Answer:

C. [tex]y=(x-3)^2[/tex] and [tex]y=x^2-6x+9[/tex]

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

[tex](a+b)^2=a^2+2 \times a \times b + b^2[/tex]

[tex](a-b)^2=a^2-2 \times a \times b + b^2[/tex]

We are going to use the above two formulas to solve each part and come to an answer

A. [tex]y = (x + 3)^2[/tex]

[tex](x + 3)^2=x^2+2 \times x \times 3 + 3^2[/tex]

[tex](x + 3)^2=x^2+6x+9[/tex]

Hence this option is not correct pair

B. [tex]y = (x-5)^2[/tex]

[tex](x - 5)^2=x^2-2 \times x \times 5 + 5^2[/tex]

[tex](x -5)^2=x^2-10x+25[/tex]

Hence this option is also not correct pair

C. [tex]y = (x -3)^2[/tex]

[tex](x - 3)^2=x^2-2 \times x \times 3 + 3^2[/tex]

[tex](x -3)^2=x^2-6x+9[/tex]

Hence this option is correct as it have equivalent pair

D. [tex]y = (x + 5)^2[/tex]

[tex](x + 5)^2=x^2+2 \times x \times 5 + 5^2[/tex]

[tex](x + 5)^2=x^2+10x+25[/tex]

Hence this option is also not correct pair

Only a few minutes please help!!

A) 20
B) 50
C) 90
D) 120

Answers

Answer:

C 90

Step-by-step explanation:

Answer: OPTION B.

Step-by-step explanation:

You can observe in the figure provided that the angle 3 and the angle that measures 70° , share the same vertex, therefore, you can conclude that they are Vertical angles and they are congruent. Then:

[tex]m\angle 3=70\°[/tex]

You can notice that the angle 1 and the angle that measures 70° are Complementary angles (They add up to 90°), then you can find the measure of the angle 1:

[tex]m\angle 1+70\°=90\°\\\\m\angle 1=90\°-70\°\\\\m\angle 1=20\°[/tex]

Then:

[tex]m\angle 3-m\angle 1=70\°-20\°\\\\m\angle 3-m\angle 1=50\°[/tex]

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right triangular sides having legs 3 and 4 and hypotenuse 5. The length of the prism is 3.5 Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

54

Step-by-step explanation:

Answer:

54 square units

Step-by-step explanation:

In order to calculate the surface area of the prism you have to calculate the area of each face of the prism, and you have to remember the different formulas to calculate the areas:

[tex]Rectangle=Length*Width[/tex]

[tex]Triangle=\frac{Base*Height}{2}[/tex]

So you just have to insert the values into the formulas:

[tex]Rectangle1=4*3.5[/tex]

[tex]Rectangle1=14[/tex]

[tex]Rectangle2=5*3.5[/tex]

[tex]Rectangle2=17.5[/tex]

[tex]Rectangle3=3*3.5[/tex]

[tex]Rectangle3=10.5[/tex]

[tex]Triangle1=\frac{4*3}{2}[/tex]

[tex]Triangle1=6[/tex]

[tex]Triangle2=\frac{4*3}{2}[/tex]

[tex]Triangle2=6[/tex]

If you add up all the faces, you get the surface area of the prism:

14+17.5+10.5+6+6=54

The fraction four-fifths is equivalent to what percent?

Answers

Hello!

The answer is:

The fraction is equivalent to 80%.

Why?

To solve the problem, we need to remember that if we want to convert from numbers to percentual values, we need to multiply the given number by 100.

So, if we have the fraction four-fifths which is:

[tex]\frac{4}{5}=0.8[/tex]

If we need to convert it to percent, we need to multiply it by 100:

[tex]0.8*100=80(percent)[/tex]

Hence, we have that the fraction is equivalent to 80%.

Have a nice day!

Answer:

80%

Step-by-step explanation:

We know 4/5 is the same as 4 divided by 5 then using long division for 4 divided by 5 gives us 0.8 converting our number to a percent

0.8 x 100 = 80%


[tex]( \sqrt{5x + 6} ) ^{2} [/tex]
multiply

Answers

[tex]\bf (\sqrt{5x+6})^2\implies \sqrt{(5x+6)^2}\implies 5x+6[/tex]

A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type Bis four feet tall and grows at a rate of 10 inches per years. Determine exactly How long many years it will take for these trees to be the same height

Answers

Answer:

2.4 years

Step-by-step explanation:

you have to first convert the trees' heights into inches. three feet is equivalent to 36 inches and four feet is equivalent to 48 inches. Since three A grows at 15 inches a year it'll become a the expression 15x+36 and the expression for tree B will be 10x+48. You set them up to each other and simplify it.

15x+36=10x+48

 -10x        -10x

5x+36=48

   -36        -36

5x=12

/5    /5

x=2.4

So it'll be 2.4 years

Which statements are true for the functions g(x) = x^2 and h(x) = –x^2 ? Check all that apply.A.For any value of x, g(x) will always be greater than h(x).B.For any value of x, h(x) will always be greater than g(x).C.g(x) > h(x) for x = -1. D.g(x) < h(x) for x = 3. E.For positive values of x, g(x) > h(x). F.For negative values of x, g(x) > h(x)

Answers

Answer:

C, E, F

Step-by-step explanation:

The range of the function [tex]g(x)=x^2[/tex] is [tex]y\in [0,\infty)[/tex], the range of the function [tex]h(x)=-x^2[/tex] is [tex](-\infty,0][/tex]

This means that for any value of x, the value of [tex]g(x)[/tex] is always greater or equal to the value of [tex]h(x)[/tex] (the values are equal at x=0).

So, options A and B are false, because at x=0 the values are equal and h(x) cannot be greater than g(x)

Options C, E and F are true, because for all non-zero x, g(x)>h(x).

Option D is false (the reason is the same as for option B)

What is the solution of this equation
4x-6=10x-3

Answers

Answer:

x=[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

4x-6=10x-3 (add 6 to both sides)

4x=10x+3 (subtract 10x from both sides)

-6x=3 (divide both sides by -6)

x=[tex]\frac{-1}{2}[/tex]

Answer: X = -1/2

Step-by-step explanation: Your goal is to isolate x. First, subtract 4x from each side.

-6 = 6x - 3

Add 3 on both sides.

-3 = 6x

Divide by 6 on each side.

X = -1/2

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents this scenario?

Answers

Answer:

The graph that representss this scenario is attached.

Explanation:

You can create the graph by determining the expression that shows the relationship between the variables and then drawing the graph in a coordinate system.

1. Determine the expression that relates the variables.

a) The name of the variables is given:

x: number of solved puzzlesy: number of solved riddles

b) Point rules:

Each solved puzzle is worth two points: 2x

Each solved riddle is worth 1 point: 1y = y

Sum of points: 2x + y

The video game requires at least 4 points to advance: this means that the number of points must grater than or equal to 4 ⇒ 2x + y ≥ 4 .

In conclusion, it has been determined that the expression that rules the system of points is the inequality 2x + y ≥ 4.

2) Building the graph

Solve algebraically for y: y ≥ 4 - 2x

You want to draw the border line of the function, that is y = 4 - 2x

You have a linear function, so you need only two points to draw it. It is generally easier to work with the intercepts.

x-intercept (y = 0) ⇒ 2x + 0 = 4 ⇒ 2x = 4 ⇒ x = 2 ⇒ point (2, 0)

y-intercept (x = 0) ⇒ 2(0) + y = 4 ⇒ y = 4 ⇒ point (0, 4).

In conclusion, you can use the points (2,0) and (0,4) to draw the line that is the border of your graph.

Addtional constrains: x and y cannot be negative, so add the constrains:

        x ≥ 0 and y ≥ 0

The set of solutions of y ≥ 4 - 2x is the same line y = 4 - 2x and the region over the line, so you have to shade that portion of the graph, but only in the first quadrant (since x and are greater than or equal to zero).

The resulting graph is attached.

Answer:

D

Thank me later!! Just did the test on edge

When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 56 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 7000 ​batteries, and 1​% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?

Answers

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

acceptance condition= at most 2 batteries do not meet specifications

shipment size=7000

battery percentage in shipment that do not meet specification= 1%

Applying binomial distribution

P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)

In this formula, a is the acceptable number of defectives;

 n is the sample size; 

p is the fraction of defectives in the population.  

Now putting the value

a= 2

n=56

p=0.01

[tex]\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +[/tex][tex]\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}[/tex]

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted.  As this is such a high chance, we can expect many of the shipments like this to be accepted!

Given that a function, g, has a domain of -20 sxs 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be
true for g.
A g(-4)=-11
B. g(-13) = 20
C. g(7)=-1
D. g(0) = 2

Answers

Answer:

s(x) = f(x) + g(x) = (5x + 2) + (7x + 4) = 12x + 6

p(x) = 6*g(x) = 6(7x + 4) = 42x + 24

Step-by-step explanation:

Which of the following reveals the minimum value for the equation 2x^2 + 12x − 14 = 0?

Answers

The equation that reveals the minimum value for the equation is 2(x + 3)² = 32

Which reveals the minimum value for the equation

From the question, we have the following parameters that can be used in our computation:

2x² + 12x − 14 = 0

Rewrite as

2x² + 12x = 14

So, we have

2(x² + 6x) = 14

Take the coefficient of x

k = 6

Divide by 2

k/2 = 3

Square both sides

(k/2)² = 9

So, we have

2(x² + 6x + 9) = 14 + 2 * 9

2(x² + 6x + 9) = 32

Express as squares

2(x + 3)² = 32

Hence, the equation that reveals the minimum value for the equation is 2(x + 3)² = 32

Question

Which of the following reveals the minimum value for the equation 2x^2 + 12x - 14 = 0?

2(x + 6)^2 = 26

2(x + 6)^2 = 20

2(x + 3)^2 = 32

What is the solution to the equation 1/4x- 1/8=7/8+1/2x

Answers

Answer:

4

Step-by-step explanation:

Start by multiplying both sides by 4.

[tex]\frac{1}{4} x-\frac{1}{8} =\frac{7}{8} +\frac{1}{2} x\\x-\frac{1}{2} =\frac{7}{2}+2x[/tex]

Next, combine like terms.

[tex]x-\frac{1}{2} =\frac{7}{2}+2x\\-\frac{1}{2} =\frac{7}{2} +x\\x=\frac{8}{2} \\x=4[/tex]

1. does a linear function have to have an x value of 0?

2. what is a constant rate?

3. does a linear function need to be all positive, or can it have some negative values?

Answers

Answer:

yes

Step-by-step explanation:

let me explain more in depth. 1: yes, it's the point where the function crosses the x axis. 2: the absence of acceleration. 3: I think it can be negative

Other Questions
Summarize the steps of the scientific method. Estela (1) ( estaba / estuvo ) leyendo un libro cuando Toms la (2) ( llamaba / llam ) por telfono. Toms la (3) ( invitaba / invit ) a ir a un restaurante esa noche. Estela (4) ( tena / tuvo ) mucha tarea que hacer, pero (5) ( aceptaba / acept ) la invitacin de Toms. Toms (6) ( llegaba / lleg ) a las ocho y ellos (7) ( salan / salieron ). (8) ( Haca / Hizo ) buen tiempo y ellos (9) ( decidan / decidieron ) caminar al restaurante. Mientras (10) ( caminaban / caminaron ) por la calle, se (11) ( hablaban / hablaron ) cariosamente. Entonces, Toms (12) ( sacaba / sac ) un regalo pequeo de su chaqueta y se lo (13) ( daba / dio ) a Estela. Estela (14) ( abra / abri ) el regalo rpidamente. (15) ( Era / Fue ) un reloj. La semana pasada Estela (16) ( perda / perdi ) su reloj y por eso (17) ( necesitaba / necesit ) un reloj nuevo. Most animals can be classified asInvertebrates Arthropods ChordatesSessile Which of these statements best describes the role of creativity in science? A. it helps scientists prove non-observable theories B. it helps scientists make conclusions non-testable C. it helps scientists give valid scientific explanations D. it helps scientists create theories which are universal Querido Pepe:La semana pasada 1.[FILL] (yo: hacer) un corto viaje a Acapulco porque 2.[FILL] (tener) una reunin con mi agente de viajes. Aunque (Although) 3.[FILL] (estar) ocupadsimo, 4.[FILL] (querer) visitarte, pero 5.[FILL] (saber) por nuestro amigo Luis Dvila que estabas (you were) fuera de la ciudad. Yo le 6.[FILL] (dar) a Luis unas fotos de la ltima vez que nosotros 7.[FILL] (estar) juntos (together), y le 8.[FILL] (yo: pedir) que te las diera (he give) a tu vuelta a Acapulco. Espero verte durante mi prximo viaje. Recibe un abrazo (hug) de tu amigo, Gerardo Match each poem with the subculture or counter culture from which it came. FeministBeat Generation Hip-Hop CountercultureA. For no Church told me/no Guru holds me/no advice/just stone/of New York( jack kerouacB. You fit into me/like a hook into an eye/a fish hook/an open eye(Margaret Atwood)C. Pay attention, heres the thick of the plot/I pulled up To the corner at the end of the block for slush and thats when I saw the beautiful girly-girl walking /I picked up my car want to penetrate like I was talking( DJ jazzy Jeff and the fresh prince 12.03,1.2,12.3,1.203,12.301 order least to greatest find the permiter of the polygon PLEASE help Cathy lives in a state where speeders fined $ 10 for each mile per hour over the s speed limit cathy was given a fine for $80for speeding on a road where the speed limit is 50 miles per hour how fast was cathy driving Estimate the fur seal pup population in Rookery A 5498 fur seal pups were tagged in early August In late August, a sample of 1300 pups was cbserved and 157 of these were found to have been previously tagged. Use a proportion to estimate the total number of fur seal pups in Rookery A The estimated total number of fur seal pups in Rookery A is Round to the nearest whole number.) Name the three types of peer pressure. Give examples as well please. :) is 42 a multiple of 7 What is the maximum thermal efficiency possible for a power cycle operating between 600P'c and 110C? a). 47% b). 56% c). 63% d). 74% A worker is cutting a square from a piece of sheet metal. The specifications call for an area that is 16 cm squared with an error of no more than 0.03 cm squared. How much error could be tolerated in the length of each side to ensure that the area is within the tolerance? Roundel Inc. is a company that sells automobile tires. The company is projecting an increase in sales in the next twelve months, and is looking to fill the senior positions through internal recruiting to meet this demand. The company is evaluating the individual performances and seeking to develop some ranking of the individuals within a work group to identify the best performer. Which of the following approaches is the company using? (A) The Result approach (B) The Attribute Approach (C) The Comparative approach (D) The consequential approach (E) The Behavioral approach Oh, no... you dropped your study flashcards, and now they're out of order! Put them back into the correct order for a eukaryotic cell. a. "Combine the mRNA strand with a ribosome and a tRNA carrying a methionine." b. "Unwind the DNA molecule near the promoter." c. "Exit the nucleus to the cytoplasm." d. "Transcribe the complementary RNA strand." Given that three fair dice have been tossed and the total of their top faces is found to be divisible by 3, but not divisible by 9. What is the probability that all three of them have landed 4? Which effect cannot be explained by feature nets? a. the word-superiority effect b. the well-formedness effect c. the ability to read letter strings like pirt but not itpr d. the effects of sentence context? How could a change in emphasis best develop the events in this passage,making for a more interesting and exciting to read? which letter represents the wavelength of the wave?A: aB: bC: cD: d