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Julli [10]
2 years ago
13

What is the product of (2x-7) and (3x + 3)?

Mathematics
1 answer:
eduard2 years ago
3 0
<h3>✒️EVALUATION </h3>

==================================

\large\sf\underline{Problem:}

What is the product of (2x-7) and (3x + 3)?

  • A. 6x2 + 15x-21
  • B. 6x2 - 15x - 21
  • C. 6x2 + 15x + 21
  • D. 6x2 - 15x + 21

==================================

\large\sf\underline{Answer:}

\qquad \qquad \huge \rm Letter\:B.

*Please read and understand my solution. Don't just rely on my direct answer*

==================================

\large\sf\underline{Solution:}

Here we have the given choices:

  • A. 6x2 + 15x-21
  • B. 6x2 - 15x - 21
  • C. 6x2 + 15x + 21
  • D. 6x2 - 15x + 21

Solve this equation using the distributive property,where you multiply each term to get the number.

\begin{gathered} \rm2x - 7 = \boxed{ 6} \: \bigg| \small\boxed{\: 6 {x}^{2} } \\ \rm (7)(3) = \boxed{21} \bigg | \boxed{\: 21 x} \\ \\ \qquad \rm6x^{2}+(6x- 21x)-21 \\ \qquad \boxed{ \rm6 {x}^{2} + 15x - 21}\end{gathered}

Therefore, the correct option is letter B.

==================================

ヾ(^-^)ノ

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kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.


x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8


Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters


5 0
2 years ago
4
Ad libitum [116K]

The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k \times f(x)
  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

brainly.com/question/17006186

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4 0
2 years ago
An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle
jekas [21]

Answer:

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Step-by-step explanation:

Formulate an equation x + (x+70) = 180

Combine like terms to get 2x + 70 = 180

Subtract 70 on both sides to get 2x = 110.

Divide both sides by 2 to get x = 55.

Add 70 to 55 to get 125.

Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.

5 0
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Answer:

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Answer:

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Step-by-step explanation:

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