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3 years ago

What are the solutions to the equation 3(x - 4)(x + 5) = 0?

Mathematics

1 answer:

Advocard [28]3 years ago

8 0

Answer:

Step-by-step explanation:

3(x - 4)(x + 5) = 0

Dividing through by 3

(x - 4)(x + 5) = 0

(x - 4) = 0 or x + 5 = 0

x - 4 = 0 or x + 5 = 0

x = 4 or x = - 5

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Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0

3 years ago

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ. <br> 30 POINTS AND BRANILEST

WINSTONCH [101]

It’s Linear

Explanation:

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3 years ago

Read 2 more answers

Which type of survey does this example represent?

Ksenya-84 [330]

It is d my good sir

8 0

3 years ago

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?

Illusion [34]

59.4cm
Use Pythagorean theorem to find the diagonal (^ means exponent)
a^2 + b^2 = c^2
42^2 + 42^2= c^2
1764+1764=c^2
3528=c^2
square root both sides
c= 59.39696962
round and you get 59.4 cm

5 0

3 years ago

Can You Help Me With numbers 6-8

k0ka [10]

Hello,

Your answers and explanations are below.

6 - 5xy

5 times the product of x and y. The product of x and y means to multiply. That is where we get this: xy. 5 times that product is where we add 5 to it and get this: 5xy.

7 - 4x

We get this because we know he gets $4 an hour. We just do not know how many hours he babysat. The hours is X and we multiply that by 4.

8 - 5.5

Take 8.3 and subtract 2.8 to find x. Once we do that we get 5.5, and that is X.

9 - We can't see the problem. It's cut off

Good Luck,

- I.A. -

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3 years ago