All categories

3 years ago

Select all the statements that are true.

Mathematics

1 answer:

alexgriva [62]3 years ago

8 0

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

$8x(5x-6)$

Applying distributive property

$8x(5x)-8x(6)\\40x^2-48x$

Compare with the given value

$40x^2-48x=40x^2-48x$

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

$-4x(2x^{2}+1)$

Applying distributive property

$-4x(2x^{2})-4x(1)\\-8x^3-4x$

Compare with the given value

$-8x^3-4x \neq -8x^3-5x$

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

$(x-3)(5x-6)$

Applying distributive property

$x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18$

Compare with the given value

$5x^2-21x+18=5x^2-21x+18$

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

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

Applying distributive property

$(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15$

Compare with the given value

$2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25$

therefore

The statement is not true

You might be interested in

Implicit diffrention problems I am really stuck on

AysviL [449]

Answer:

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

$x^4 + x^3y = 5xy^2 -y^3$

now differentiating in terms of x ( $\frac{dy}{dx}$ )

$4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )$

isolating dy/dx to one side

$4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )$

$4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)$

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

5 0

3 years ago

In 5 minutes, Joey eats 25 hot dogs. how many hot dogs did he eat in a minute?

Colt1911 [192]

Answer: He Had 5 Per Min.

25 ÷ 5 = 5

5 Per Min.

4 0

3 years ago

Read 2 more answers

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

Triss [41]

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

7 0

3 years ago

What is the measure of angle of 1?

Ludmilka [50]

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

6 0

2 years ago

To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50

Inga [223]

Answer:

The interest rate was 42.5%.

Step-by-step explanation:

8 0

2 years ago