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german
4 years ago
11

Simplify (2x + 3)(x – 4) = ?

Mathematics
1 answer:
svlad2 [7]4 years ago
7 0
<span>Solutions

1) Equation
</span>⇒ <span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x−4</span>)

</span></span>⇒<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x+<span>−4</span></span>)
</span></span>⇒<span>(2x)(x)+(2x)(−4)+(3)(x)</span>+<span>(3)(−4)
</span>⇒2 x^{2} <span><span><span>−<span>8x</span></span>+<span>3x</span></span>−12
</span>⇒2 x^{2} <span><span>−<span>5x</span></span>−<span>12

Answer - </span></span>2 x^{2} <span>−5x−12</span><span>

</span>
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3 years ago
Emma buys 3 and two-thirds yards of blue fabric and some yellow fabric at a store. She buys a total of 5 and one-third yards of
AnnZ [28]

Answer:

1 and two-thirds yards

Step-by-step explanation:

5⅓ = 3⅔ + y. Subtract 3⅔ from both sides.

It may be useful to use improper fractions.

16/3 – 11/3 = y

5/3 = y

5/3 is equivalent to 1⅔

8 0
3 years ago
A) write 63 as the product of prime numbers.
steposvetlana [31]

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

  • Factors of 63 =  1, 3, 7, 9, 21, and 63
  • Factors of 105 =  1, 3, 5, 7, 15, 21, 35 and 105.
  • Common factors = 1, 3, 7, 21
  • Highest common factor = 21

To learn more about prime numbers, please check: brainly.com/question/4184435

8 0
3 years ago
What is the solution to the system of equations below?
Andre45 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

y=-6x-10

y=-3x-21

solving the system of the equations

Arrange the equation variables for elimination

\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}

y+3x=-21

-

\underline{y+6x=-10}

-3x=-11

\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}

solve

-3x=-11

Divide both sides by -3

\frac{-3x}{-3}=\frac{-11}{-3}

x=\frac{11}{3}

\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}

y+6\cdot \frac{11}{3}=-10

y+6\cdot \frac{11}{3}=-10

y=-32

Therefore, the solutions to the system of the equations are:

y=-32,\:x=\frac{11}{3}

But, it seems none of the options is true.

8 0
3 years ago
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Explain the relationship between evolution, natural selection and mutations.
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Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.

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