Find the solutions for 4x2 + 3x – 7 = 0 using a table. If approximating,
give the answer to the nearest tenth.

Answer:

18

Step-by-step explanation:

In both cases, the number remains constant, 240 stamps.

Given that 3:7 is equal to 3/10 to 7/10

Initially, Tom had 3/10*240=72 stamps

Finally, 3:5 equal to 3/8 to 5/8

Tom has 3/8*240=90 stamps

Difference is 90-72=18 stamps

Therefore, Tom bought 18 stamps from Adam and Adam didn't replace

Given the initial and new ratios of Tom's and Adam's stamps, and the total number of stamps they have, we can setup and solve an equation which reveals that Tom bought 48 stamps from Adam.

This math question involves the concept of ratios and some algebra. Given that Tom and Adam initially had a total of 240 stamps between them in a ratio of 3:7, we can divide 240 by the total parts of their ratio (3 + 7 = 10 parts). So, one 'part' is 240 divided by 10, which equals 24.

Therefore, Tom initially had 3 parts i.e., 3*24 = 72 stamps while Adam had 7 parts i.e., 7*24 = 168 stamps.

After Tom buys some stamps from Adam, their ratio changes to 3:5. Let's denote the number of stamps Tom bought as x. Then, Tom would have 72 + x stamps, while Adam would have 168 - x stamps.

Since their ratio is now 3:5, we can set up an equation represented by (72 + x) / (168 - x) = 3 / 5. Solving this equation gives us x = 48.

So, Tom bought 48 stamps from Adam.

https://brainly.com/question/32531170

#SPJ3

Answer:  a) x= 68, b) 108°, c) 72°, d) 255°.

Step-by-step explanation:

Since we have given that

The interior angles of hexagon:

(2x+17), (3x - 25), (2x+49),  (x+40), (4x-17) and (3x - 4).

So, it becomes :

[tex]2x+17+3x-25+2x+49+x+40+4x-17+3x-4=1080\\\\15x+60=1080\\\\15x=1080-60\\\\15x=1020\\\\x=68[/tex]

ii. Find the smallest interior angle of the quadrilateral.

[tex]x+40=68+40=108^\circ[/tex]

iii. Find the largest exterior angle of the quadrilateral.

[tex]180-108=72^\circ[/tex]

iv. Find the largest interior angle of the quadrilateral.

[tex]4x-17=4\times 68-17=255^\circ[/tex]

Hence, a) x= 68, b) 108°, c) 72°, d) 255°.

Answer:

3

Step-by-step explanation:

If you divide 8 +  16x, you get 4(2) + 4(4x), not 4(4) + 4(12)

He subtracted instead of dividing.

4 is wrong because it says 4x(2). You are dividing by 4, not 4x

Answer:

The answer is 3

Step-by-step explanation:

Please mark me brainiest anybody and please like and rate 5 stars

Answer:

legs: a and b

hypotenuse: c

Step-by-step explanation:

The legs of a right triangle are the two sides that intersect to determine the right angle. The  remaining side is called the hypotenuse.

Answer:

a and b are the legs, and c is the hypotenuse

Step-by-step explanation:

The legs of a right triangle are always the sides that form the right angle. Looking at the picture, we see that at one corner of the triangle, there's a little square. Remember that this little square always denotes an angle with degree 90, which means this is the right angle. Then, since sides a and b form this angle, we know that a and b are the legs.

Another thing to remember is that the hypotenuse of a right triangle is the side that lies opposite to the right angle. Here, you can see that side c lies opposite to the right angle, so we know it's the hypotenuse.

Hope this helps!

Answer: try to (x) each one by the answer to -0.0035 +70

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you have repetitive calculations to do, it is often convenient to let a calculator or spreadsheet do them for you.

Basically, put the value of "a" into the formula and do the arithmetic.

  Example: for 11000 ft, -0.0035·11000 +70 = -38.5 +70 = 31.5

Answer: [tex]x=3[/tex]

Simplify both sides of the equation

[tex](4)(3x)+(4)(-6)+15=27(Distribute)\\12x+-24+15=27[/tex]

[tex](12x)+(-24+15)=27[/tex](Combine Like Terms)

[tex]12x+-9=27[/tex]

Add 9 to both sides

[tex]12x-9+9=27+9\\12x=36[/tex]

Divide both sides by 12

[tex]12x/12=36/12\\x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

Pull out like factors :  3x - 6  =   3 • (x - 2)

step 2 : (12 • (x - 2) +  15) -  27  = 0

Pull out like factors :   12x - 36  =   12 • (x - 3)

 step 4 :   12 • (x - 3)  = 0

  Solve  :    x-3 = 0

x = 3

Answer:

3 x ^2  −  21

Step-by-step explanation:

Answer:

3x²-21

Step-by-step explanation:

-3(5-x² +2)

combine like terms in the parenthesis (5 and 2=7)

-3(-x² +7)

distribute the 3 so multiply -3 and -x² and 3 and 7

-3(-x²) = 3x² because a double negative is a positive

-3(7) = -21 because a negative and positive is a negative

Answer:

there is no graph

Step-by-step explanation:

$8   16    24     32   40     48      56      64   72      80

---------------------------------------------------------------------------

 4     8     12     16    20     24     28     32     36     40

Final answer:

The question is about calculating the costs associated with purchasing tickets, given a known rate of $8 for every 4 tickets. Using the formula cost equals 2 times the number of tickets, one can calculate the total cost for any number of tickets, maintaining a direct proportionality.

Explanation:

Finding Costs Based on Ticket Quantities

To determine the cost for a varying number of tickets given the rate of $8 for every 4 tickets, we can set up a proportional relationship where the cost (C) is related to the number of tickets (T) by the constant of proportionality 8/4, or 2. Therefore, C = 2T, which means that the cost is simply twice the number of tickets because 8 dollars are charged for every 4 tickets.

We can fill out the table using the formula C = 2T, where C represents the total cost and T represents the number of tickets:

For 4 tickets: C = 2(4) = $8

For 8 tickets (twice the initial quantity): C = 2(8) = $16

And so on, for each additional set of 4 tickets, we add another $8 to the cost.

If we were to complete the hypothetical table, for each additional 4 tickets, we would add $8 to the total cost, maintaining this direct proportionality.

Answer:

4

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2(m+10p)\\\\2m+20p[/tex]

The first one uses the distributive property, after which you have the second expression. She runs two miles per day (one in the morning and the other in the evening) and she does 20 push-ups per day (a set of 10 in the morning and a set of 10 in the evening). m represents miles and p represents push-ups.

[tex]2(m+10p)\\2(m)+2(10p)\\2m+20p[/tex]

Answer:

D)  No solutions

Step-by-step explanation:

|4x – 3| = –1

There are no solutions

Absolute value means positive ( or zero)

It cannot be negative

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------------

Answer: 3(-1) - 4(-1) = 1.

We are given that y = 4x and the equation is 3x - y = 1.

We need to evaluate.

3x - y = 1

||

\/

3x - 4x = 1.  

To  make the equation true, x = -1.

||

\/

3(-1) - 4(-1) =

-3 minus -4 = 1.

Final answer:

Explains how to solve a system of two linear equations by substitution.

Explanation:

The provided equations are:

y = 4x

3x - y = 1

To solve the system of equations, we can substitute the value of y from the first equation into the second equation:

Therefore, the solution is x = -1 and y = -4.

Answer: The dimensions that will maximize area of the pen are 350 ft by 175 ft

Step-by-step explanation: The farmer has a total of 700 feet of fence for a rectangular pen which is in effect the perimeter. However, one side is by the river and would not need to be fenced. Hence we can determine that the perimeter would cover three sides only.

This means the sides would be in the ratio of 2 : 1 : 1

Hence, one side would be 2/4 and the other two sides would be 1/4 each

For the whole 700 meters of fencing, the sides can be calcualted as follows;

Length = 2/4 x 700

Length = 350

Width = 1/4 x 700

Width = 175

Therefore, with the length of fence available, the dimensions for the rectangular pen would be

Length = 350 ft

Width = 175 ft

Answer:

21

Step-by-step explanation:

Answer:   linear             stay safe have a good day and good luck

Step-by-step explanation:

Answer:

Slope of the given line y=9 is zero

so the slope of the required line is also zero.

m=0

Using point- slope form

y-y1 = m (x -x1)

y + 8 = 0 ( x - 3)

y + 8 = 0

y = - 8

Answer:

see the explanation

Step-by-step explanation:

The correct question is

Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

y ----> the total cost

x ---> the number of pounds of pears

In this problem we have a proportional relationship between the variables x and y

we have

[tex]9.25=5m[/tex]

where

m is the cost per pound of pears

That means

The value of m and the value of the constant k of proportionality is the same

Find the value of m

[tex]9.25=5m\\m=\$1.85\ per\ pound[/tex]

The linear equation is equal to

[tex]y=1.85x[/tex]

Construct the table

assume different values of x and determine the value of y

[tex]For\ x=0 ----> y=1.85(0)=0[/tex]

[tex]For\ x=1 ----> y=1.85(1)=1.85[/tex]

[tex]For\ x=2 ----> y=1.85(2)=3.70[/tex]

[tex]For\ x=3 ----> y=1.85(3)=5.55[/tex]

[tex]For\ x=4 ----> y=1.85(4)=7.4[/tex]

[tex]For\ x=5 ----> y=1.85(5)=9.25[/tex]

therefore

[tex]\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}[/tex]

using a graphing tool

The grahp in the attached figure

Final answer:

The unit cost per pound of pears is $1.85, found by dividing the total cost ($9.25) by the number of pounds (5). This represents a proportional relationship, as the graph of the equation y = 5x is a straight line through the origin, showing a constant ratio of total cost to pounds of pears.

Explanation:

The question regarding the equation 9.25 = 5m asks us to find the unit cost per pound of pears and determine whether the relationship represents a proportional relationship. To find the cost per pound, we simply need to divide both sides of the equation by 5. This gives us m = 9.25 / 5, which calculates to m = $1.85. Therefore, the unit cost per pound of pears is $1.85.

To test for a proportional relationship, we can graph the equation y = 5x, where 'y' is the total cost and 'x' is the number of pounds of pears. A proportional relationship is one where the ratio of y to x is constant, and the graph is a straight line through the origin. Since our equation represents a linear relationship that passes through the origin (0,0), it confirms that this is, indeed, a proportional relationship. The graph would show a straight line with a slope of 5, indicating that for every increase of 1 pound of pears, the cost increases by $5.

Answer:

I would expect rain 5 days

Step-by-step explanation:

Please kindly see the attached files for explanation.

[tex]5^{3(x-2)} = 5^{3x - 6} = 5^{3x} 5^{-6} = 5^{-6} 5^{3x} = a 5^{3x}[/tex]

so

[tex]a = 5^{-6}[/tex]

Answer: 5⁻⁶  second choice

Answer:

3(x-6)

Step-by-step explanation:

i love math

Answer:

3(x-6)

Step-by-step explanation:

Rewrite 18 as 6x3

3x-3x6

Factor out x from 3

3(x-6)

Answer:

(- 3, - 4 ) and r = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 3)² + (y + 4)² = 25 ← is in standard form

(x - (- 3))² + (y - (- 4))² = 5²

with centre = (- 3, - 4) and r = 5

Answer:

Step-by-step explanation:

a) Jack's additional income = N * 50 = $ 50N

P = 1200 + 50N

b) N = 24 copies

P = 1200 + 50*24

 = 1200 + 1200

P = $ 2400

Answer:

18

Step-by-step explanation:

1,017.36 is the area of the circle and you need to find the radius

area formula : 3.14rsquared

so the formula you are going to solve for your answer is 3.14rsquared=1,017.36

divide by 3.14

rsquared = 324

un square it to get you radius which is 18

you didnt clarify whether you wanted radisu or diameter so ill give both

R: 18

D:36

Answer:

The sprinkler can spread water up to 36 feet away!

Step-by-step explanation:

First, identify the formula used to find the area of a circle:

Area = pi x r^2

We already know the area that the sprinkler makes, so just plug that in! Then, we just need to reverse engineer the formula!

1,017.36 square feet = pi x r^2

1,017.36 square feet= 3.14 x r^2

1,017.36/3.14 = r^2

324 = r^2

sqrt of 324 = 18

So, we figured out that the radius of the circle is 18 feet! Now, remember the radius is just half the amount of the diameter!

18 x 2 = 36 feet

Hope this helps! :)

Answer: You do not have x alone on one side, therefore, you can be certain the equation has no solution!!

Step-by-step explanation: In order for the equation to have a solution it must look like this:

x= and some number

Final answer:

Lewis can be certain there is no solution to the equation because ending up with '2=4' is a contradiction, and two distinct constants cannot be equal.

Explanation:

When solving an equation, if you simplify all the expressions and end up with a statement such as 2=4, this indicates that the equation does not have a solution. This situation is also known as a contradiction because 2 and 4 are distinct constants and cannot be equal. A step-by-step approach might include starting from the original equation, performing algebraic manipulations, and then arriving at an absurd conclusion, which tells us the equation has no solution.

In contrast, when solving quadratic equations, such as x² = 4, you might get valid solutions like √4=±2, which indicate a solution set of {-2, 2}. However, if your result contradicts a fundamental truth, like the equality 2=4, it's clear that the equation has no feasible solution within the realm of real numbers.

Answer:

Step-by-step explanation:

Find the 4% of the 2000.

Then, add it to the 2000.

Keep adding the 4% which is 0.8 to the new sum until you get up to the third year and there you go!

Hope this help you!

Answer:

180 - 116 = 64 so the congruent angles measure 64/2 which is 32.

Step-by-step explanation:

Final answer:

To find the measure of the congruent angles in a triangle with one angle measuring 116°, you can use the fact that the sum of the interior angles of a triangle is 180 degrees. By solving the equation, you can calculate the measure of the congruent angles as 32°.

Explanation:

Question: One angle of a triangle measures 116°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles.

To find the measure of the congruent angles, we know that the sum of the angles in a triangle equals 180 degrees. Let x be the measure of each congruent angle, then the equation to solve is: 116 + x + x = 180. Simplify to find x.

Answer: By solving the equation 116 + x + x = 180, x = 32°. Therefore, each congruent angle measures 32°.

Answer:

x=3

Step-by-step explanation:

3+4=7

3x7=21

Answer:

x=3

Step-by-step explanation:

3(x+4) = 21

3x+12 = 21

3x+ 12 = 21

     -12 = + 12

3x = 9

3x = 9

[tex]\frac{3x}{3}[/tex] = [tex]\frac{9}{3}[/tex]

x = 3

Answer:

905 in^3

Step-by-step explanation:

formula is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]

radius is 6