write the equation of the line that is parallel to y=2x+9. and goes through the point (3,1)

f(-3) would be 36.

When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.

2x^2 - 5x + 3

Now we can put -3 into the equation and solve.

2(-3)^2 - 5(-3) + 3

2(9) + 15 + 3

18 + 15 + 3

36

The function in this graph is to figure out the incline of something. The incline is very fast it goes from 0.8 and then stays gradually steady! then it shoot on up to 2! (or 0.2) hope you get 100!

Answer:

It is a decreasing function.

Step-by-step explanation:

Since as the numbers in X-axis is increasing the value of Y-axis get decreased, also this decrement is very little slow, thus the function type in the graph is slowly decreasing function and it touches the x-axis at the end.  The graph touches the X-axis when it tends to come at (1,0).

Answer:

The length of Ms. Ford's kitchen is 57.5 feet.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The kitchen is rectangular.

- Ms. Ford wants to buy 5 extra feet of wallpaper border.

- She buys a total of 62.5 feet of wallpaper border.

2. Therefore, to calculate the length of Ms. Ford's kitchen, you only need to substract 62.5 feet and the 5 extra feet of wallpaper border. Therefore, the result is:

[tex]62.5ft-5ft=57.5ft[/tex]

B.  (x+5)^3+4

If you graph all the equations you can match and see the differences.

Every hour, the number of liters decreases by 0.5 liter.

It takes 0.5 hour for the water to decrease by one liter. You can also tell because the line is going down showing that it is decreasing or you can subtract the X-axis

2 - 1.5 which equals 0.5.

the temp at 2 am is -6.7 degrees

Kim and Jane invested the same amount in two different types of investment plans.

After a certain period, Kim earned 10 times of what he invested and Jane earned $31.5 more than 5.5 times of the money she invested.

If Kim's earning is more than Jane's earning, find the minimum amount they invested at the beginning.

Let x be the money they invested at the beginning.

So, after a certain period,

Kim's earnings = 10x and

Jane's earnings = 5.5x + 31.5

Since Kim earned more than Jane,

10x > 5.5x + 31.5.

The inequality 10x > 5.5x + 31.5 can represent a scenario comparing two job offers, where one job's pay rate surpasses the other after working more than 7 hours.

A real-world problem that can be modeled by the inequality 10x > 5.5x + 31.5 could involve a scenario where you are comparing two different job offers. Assume one job offers a flat salary of $10 per hour (represented by 10x, where x is the number of hours worked), while the other job offers a base salary of $5.50 per hour plus a weekly bonus of $31.5 (represented by 5.5x + 31.5).

The inequality is asking for the number of hours (x) you must work in order for the flat salary job to pay more than the other job. To find this, you would subtract 5.5x from both sides to get the inequality 4.5x > 31.5. Dividing both sides by 4.5, you find that x must be greater than 7. Therefore, you would need to work more than 7 hours for the flat salary job to be the better choice.

Your answer is

x + - 1/3

9x-4= -3x-8

Move term -3x to left side

9x+3x-4=-8

Add 9x to 3x

12x-4=-8

Add 4 both sides

12x=-8+4

Subtract -8 from 4

12x= -4

Divide both sides by 12

12x/12=-4/12

Solve

X=- 1/3

739/64 = 11.546 then round it off

Solving for this equation is 25.

It would be A since when you multiply 7 by 3 it's 21 and add 3 it gives you 24/7 but then you have to flip it so it's the first one.

[tex]\dfrac{k+3}{4k-2}\cdot(12k^2-3)=\dfrac{(k+3)(12k^2-3)}{(2)(2k)-(2)(1)}\\\\=\dfrac{(k+3)[(3)(4k^2)-(3)(1)]}{2(2k-1)}=\dfrac{(k+3)(3)(4k^2-1)}{2(2k-1)}\\\\=\dfrac{3(k+3)[(2k)^2-1^2]}{2(2k-1)}=\dfrac{3(k+3)(2k-1)(2k+1)}{2(2k-1)}=\dfrac{3(k+3)(2k+1)}{2}[/tex]

[tex]\text{Used}\\\\a(b\pm c)=ab\pm ac\\\\a^2-b^2=(a-b)(a+b)[/tex]

Remark

Average Speed = Total distance divided by total time.

Total Time

2 hours + 3 hours = 5 hours.  The total time is 5 hours.

Total Distance

d = rate  * time

d1 = 40 km/hour * 2 hours = 80 km

d2 = 50 km/hour * 3 hours = 150 km

d = d1 + d2

d = 80 + 150 = 230 km

Average Speed

Av = Total distance / Total Time = 230 / 5 = 46 km/hr

Answer: It would be y-intercept: (0,-45), x-intercept:(-10,0)

In the given diagram of the coordinate plane , the x-intercept is (-10, 0) and the y-intercept is (0,-45 ).

To find the x-intercept of a line, we set y = 0.

To find the y-intercept of a line, we set x = 0.

This can be verified by looking at the graph. The line intersects the x-axis at (-10, 0) and the y-axis at (0, -45).

To find the intercepts of a line using algebra:

X-intercept:

To find the x-intercept of a line, we set y = 0 and solve the resulting equation for x.

For example, the equation of the line in the image is y = x  + 10. To find the x-intercept, we set y = 0 and solve for x as follows:

0 = x + 10

x = -10

Therefore, the x-intercept of the line is (-10, 0).

Y-intercept:

To find the y-intercept of a line, we set x = 0 and solve the resulting equation for y.

For example, the equation of the line in the image is y = x - 45. To find the y-intercept, we set x = 0 and solve for y as follows:

y = 0 - 45

y = -45

Therefore, the y-intercept of the line is (0, -45).

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THE ANSWER IS IN A RED BOX BELOW

p = number of items sold (note: this is not the profit)

1 item sells for $855, so p items sell for 855p dollars

Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.

Now plug in p = 250 because 250 items were sold in that given month

855*p - 6780 = 855*250 - 6780 = 206,970

The company earns $206,970 in profit for that month. Apply 15% to this value

15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50

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Answer: $31,045.50 which is choice C

I believe it is D.

hope it helps

Answer:

4.8 MILES

Step-by-step explanation:

To get the answer you change kilometres to miles by multiplying 3 by 0.6

The answer is 4.8 miles.

HOPE IT HELPED

Answer:

4.8

Step-by-step explanation:

...

the answer is

-16

0

-4and4

(4x-1)(4x+1)

Answer:

ac= -16

b=0

[tex](4x+1)(4x-1)[/tex]

Step-by-step explanation:

[tex]16x^2 -1[/tex]

WE write the given polynomial in standard form ax^2 + bx+c

there is no x term so we include 0x

the given expression becomes

[tex]16x^2+0x-1[/tex]

The value of a= 16 , b= 0 and c=-1

[tex]ac= a*c = 16 * (-1) = -16[/tex]

The value of b = 0

Two number to multiply to get ac = -16 are 4 and -4

When we add two numbers we will get

-4 + 4= 0

using factors -4 and 4 , the expression becomes

[tex]16x^2-4x+4x-1[/tex]

[tex](16x^2-4x)+(4x-1)[/tex]

Factor out GCF

[tex]4x(4x-1)+1(4x-1)[/tex]

[tex](4x+1)(4x-1)[/tex] is the factored form

First, multiply -6*-5. This equals (positive) 30 because the negative signs cancel out.

This leaves you with:

30+12

Doing the addition leaves you with 42.

The answer is 42.

I hope this helps :)

-6(-5)+12

Do first the parenthesis

30+12

Add 30 &12

42

the answer is A. 8 1/2, hope this helps

The elevator goes 51 floors in 12¾ seconds for a rate of 4 floors per second. By multiplying this rate by 2 seconds, we find the elevator goes up 8 floors in that duration. Therefore, the answer is C. 8.

This question is a simple problem of ratios. The elevator goes up 51 floors in 12¾ seconds, which is the same as 51/12.75 floors per second. To find out how many floors it goes in 2 seconds, we simply multiply this rate by 2.

Here's the step-by-step process:

So, the elevator goes up 8 floors in 2 seconds. Therefore the answer is C. 8.

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[tex]\frac{441}{4}[/tex]

change the mixed numbers to improper fractions and multiply the numerators / denominators

10 [tex]\frac{1}{2}[/tex] = [tex]\frac{21}{2}[/tex]

[tex]\frac{21}{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{441}{4}[/tex] = 1110 [tex]\frac{1}{4}[/tex]

let x be the name for that number, write the inequalities:

[tex]0.5x+3>0 \\0.5x>-3\\x>-6\\\mbox{OR}\\0.5x+3\leq -3\\0.5x\leq -6\\x\leq -12\\[/tex]

This number x can be anything, except anything in the interval (-12, 6]    (excluding -12, and including 6). Lmk if you have questions.

Answer:

The solutions of given inequalities are [tex]x>-6[/tex] and [tex]x\leq -12[/tex] respectively.

Step-by-step explanation:

It is given that one half a number increased by three is greater than zero or less than or equal to negative three.

Let x be the unknown number.

[tex]\frac{1}{2}x+3>0[/tex] or [tex]\frac{1}{2}x+3\leq -3[/tex]

On solving first inequality,

[tex]\frac{1}{2}x+3>0[/tex]

Subtract 3 from both sides.

[tex]\frac{1}{2}x>-3[/tex]

Multiply both sides by 2.

[tex]x>-6[/tex]

On solving second inequality,

[tex]\frac{1}{2}x+3\leq -3[/tex]

Subtract 3 from both sides.

[tex]\frac{1}{2}x\leq -6[/tex]

Multiply both sides by 2.

[tex]x\leq -12[/tex]

Therefore, the solutions of given inequalities are [tex]x>-6[/tex] and [tex]x\leq -12[/tex] respectively.

Answer:

2/5÷5/6=12/25 I hope this helps! ;)

Step-by-step explanation:

First you'd flip the second fraction, in this case we'd flip 5/6 and make it 6/5. Then we just multiply the two fractions. 2×6=12 and 5×5=25. Your anwer is 12/25.

The value of 2/5÷5/6 will be 12/25 by division.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the division,

2/5÷5/6 = (2/5) / (5/6)

If we divide two fractions then the bottom fraction will go on multiplication by the inverse.

So,

(2/5) / (5/6) = (2/5) × (6/5)

⇒ 12/25

Hence "The value of 2/5÷5/6 will be 12/25 by division".

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Simplify

10/3

Convert to a mixed fraction

3 1/3

There is 119 students. The key words are 'more than'. You add 75 plus 45 to get 119

If there are 75 students in grade 3. There are 44 more students in grade 4 than in grade 3. Then 119 students are in grade 4.

Two or more expressions with an Equal sign is called as Equation.

Given,

There are 75 students in grade 3

There are 44 more students in grade 4 than in grade 3.

It means grade 4 has seventy five plus 44 students

Grade 3=75

Seventy five plus forty four.

Grade 4=75+44

Seventy five plus forty four is one hundred ninteen.

=119

Hence if there are 75 students in grade 3. There are 44 more students in grade 4 than in grade 3. Then 119 students are in grade 4.

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