Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
22,500 = 2 p
2 (22,500) = p
22,500 = 2 p minus 8
2 (22,500) = p minus 8

The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add  7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

Learn more about completing the square;

https://brainly.com/question/10905485

#SPJ1

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) − b shifts the function b units downward. f (x + b) shifts the function b units to the left

Answer:

The lines would be equal, meaning the slope of the red line is also -3.

Step-by-step explanation:

SIMPLE:
Parallel lines have the same slope.

The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

Volume is defined as the space occupied by a three dimensional figure.

It is given that

A cube's edge lengths are each 5 inches

A rectangular prism's length and width are also 5 inches, but its height is [tex]\rm 7\dfrac{1}{2}[/tex]

The volume of the cube is given by side * side * side

Volume of cube = 5 *5 * 5 = 125 cu. inches

The volume of cuboid = length * width * height

Volume of Cuboid = 187.5 cu.inches.

Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

To know more about Volume

https://brainly.com/question/1578538

#SPJ1

Answer:

[tex]4\frac{7}{8}[/tex]

Step-by-step explanation:

The three heaviest eggs are between [tex]1\frac{1}{2}[/tex] and [tex]1 \frac{3}{4}[/tex]

Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

Answer:

The answer would be D.

Step-by-step explanation:

If there is a 1/7 chance that the archer will hit it, there is a 6/7 chance he/she wont. 6/7 times 6/7 is equal to 36/49, getting you your answer of D. I hope this helps! :)

Answer:

5 × 10¹³

Step-by-step explanation:

(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000

for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.

Answer:

x>3

Step-by-step explanation:

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Answer:

Step-by-step explanation:

Answer:

c = -v

Step-by-step explanation:

v = [tex]\frac{c}{4-5}[/tex]

v = [tex]\frac{c}{-1}[/tex]

v = -c (anything divided by -1 is the negative itself)

c= -v  

Hope this helped and brainliest please

Answer:

2/3

Step-by-step explanation:

Answer:

i think the answer is A. 2x^3y^2

Answer:

120 ft²

Step-by-step explanation:

The formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × base × height

Given that,

base ⇒ 30 ft

height ⇒ 8 ft

Let us solve it now.

Area =  [tex]\frac{1}{2}[/tex] × base × height

Area =  [tex]\frac{1}{2}[/tex] × 30 ft × 8 ft

Area =  [tex]\frac{1}{2}[/tex] × 240 ft²

Area =  120 ft²

In this question we are provided with the base and height of a triangle. We are asked to calculate the area of the triangle.

Base = 30 feet

Height = 8 feet

We know,

[tex] \large \star \: \small\boxed{ \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h}}[/tex]

Where,

Substituting the values we get

[tex] \small\sf{ Area_{(triangle)} = \dfrac{1}{ \cancel{2}} × 30 × \cancel{8} \: \: 4}[/tex]

[tex] \longmapsto \small\rm Area_{(triangle)} = 30 × 4[/tex]

[tex] \small \underline{ \boxed{\sf {Area_{(triangle)} =120 \: {feet}^{2} }}}[/tex]

Hence,the area of the triangle is 120 feet².

[tex]\underline{\rule{71mm}{3pt}}[/tex]

Answer: x=25, y=2

Step-by-step explanation:

use Pythagorean theorem to get that 1250= c^2. then sqaure root both sides. c= sqrt(1250). jailbreak to get c=(5 x 5 x 5 x 5 x 2), and take the fives out from under the square root to get 25 x sqrt2.

Answer:

20.14

Step-by-step explanation:

so to find it i added 75% to 11.85 so 11.85 + 75% = 20.14

Hope This Helped

Answer:

15.8

Step-by-step explanation:

11.85/75 = x/100

x = 15.8

11.85 is 75% of 15.8

Brainliest please!

hope this helps :)

Answer:

20 I guess

Step-by-step explanation:

because maybe 1 is 9

Answer: The correct answer is 13776.

Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.

Answer:

  D.  (2, 3)

Step-by-step explanation:

The equation will be true when the values of x and y are substituted and the result matches what you know about sums.

__

The values in each ordered pair are (x, y).

x = -2, y = -3

Substituted into the equation, we get ...

  -3 = -2 +1 . . . . . . false

__

x = 5, y = 4

Substituted into the equation, we get ...

  4 = 5 +1 . . . . . . false

__

x = 0, y = -1

Substituted into the equation, we get ...

  -1 = 0 +1 . . . . . . false

__

x = 2, y = 3

Substituted into the equation, we get ...

  3 = 2 +1 . . . . . . true

Answer:

x=101

Step-by-step explanation:

Fun angles......................

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are parallel.

As the parallel line segments are the same length, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

Answer:

no

Step-by-step explanation:

3.5m=350cm

35cm<350cm

Answer:

Answer is C

Step-by-step explanation:

It's the same as the mapping diagram but the values are flipped. It's going backward instead of forwards.

The number of half dollars coins are 5 and the number of the quarters dollars coins are 12.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You have a cup with 17 coins inside.

The total inside the cup is $5.50.

Let x be the number of half dollars and y be the number of the quarters dollars.

Then the equations will be

             x + y = 17  ............1

0.5x + 0.25y = 5.5 ...........2

By solving equations 1 and 2, we have

x = 5 and y = 12

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

25 Questions.

Explanation:

Original or full is always 100%

Mentioned:

76% ⇒ 19

=========

1% ⇒ (19 ÷ 76) = 0.25

Solve for Total:

100% ⇒ 0.25 × 100 = 25

The plane that would produce a triangle is A, a cut parallel to the vertical axis, directly through the vertical axis.

A square pyramid is a geometric shape having four triangles, five faces and a square.  

Since the sides are equal, cutting parallel to the vertical axis forms a triangle.

Therefore, a cut parallel to the vertical axis, directly through the vertical axis would produce a triangle.

Learn more about a squared pyramid here:

https://brainly.com/question/9071478

#SPJ1

Answer:

18 inches = 1.5 feet

8 inches = 2/3 foot

y = 1.5 + (2/3)x

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1

The figure is not given;

However, the question can still be solved without it

The given parameters are:

a = 31, b = 23, and c = 20

Calculate angle A using the following law of cosine

a² = b² + c² - 2bc * cos(A)

So, we have:

31² = 23² + 20² - 2 * 23 * 20 * cos(A)

Evaluate

961 = 929 - 920 * cos(A)

Subtract 929 from both sides

32 =- 920 * cos(A)

Divide both sides by -920

cos(A) = -0.0348

Take the arc cos of both sides

A = 92.0

Calculate angle B using the following law of sine

a/sin(A) = b/sin(B)

So, we have:

31/sin(92) = 23/sin(B)

This gives

31.0189 = 23/sin(B)

Rewrite as:

sin(B) =23/31.0189

Evaluate

sin(B) =0.7415

Take arc sin of both sides

B = 47.9

Calculate angle C using:

C = 180 - 92.0 - 47.9

Evaluate

C = 40.1

Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1

Read more about triangles at:

https://brainly.com/question/2217700

#SPJ1

Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.

The domain of a function is the set of all input values that make the function possible.

Now, for f(x) = (x + 6)/(x² - 12x + 36)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 12x + 36 = 0

Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;

Domain = {x | x ≠ 6}

Now, for g(x) = (x + 7)/(x² - 49)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 49 = 0

Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}

Read more about Domain of a function at; https://brainly.com/question/1770447

#SPJ1