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2 years ago

Which of the binomials below is a factor of this trinomial?

Mathematics

1 answer:

KiRa [710]2 years ago

6 0

Answer:

D. x + 4

Step-by-step explanation:

<u>Let's factor the trinomial:</u>

x² + 14x + 40 =
x² + 4x + 10x + 40 =
x(x + 4) + 10(x + 4) =
(x + 4)(x + 10)

x + 4 is between the answer options

Correct option is D.

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Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.

ZanzabumX [31]

We will use the equation 74.06-56.48=? To find the change in prices, aka how much more money was spent. That equals 17.58. So A, Michael spent $17.58 more than Denise.

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3 years ago

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Figure A is a scale image of Figure B.<br><br> What is the value of x?<br> PS. it's not 17

Oksanka [162]

Step-by-step explanation:

24÷(45÷25)= 21

x=21

Hope this helped!

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3 years ago

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Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo’s number

kondaur [170]

Answer:

Jo's Number is 20.

Step-by-step explanation:

4 - ( 9 x ? ) = 176.

9 x 20 = 180.

9 x 20 = 180, then subtract 180 by 4.

180 - 4 = 176.

Therefore, Jo's number is 20.

5 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

marishachu [46]

Answer:

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2-6=-x$

This can be written as , $x^2+x-6=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = 1 , c = -6

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(1)\pm\sqrt{(1)^2-4\cdot 1 \cdot (-6)}}{2 \cdot 1}$

$\Rightarrow x=\frac{-1\pm\sqrt{25}}{2}$

$\Rightarrow x=\frac{-1\pm 5}{2}$

$\Rightarrow x_1=\frac{-1+5}{2}$ and $\Rightarrow x_2=\frac{-1-5}{2}$

$\Rightarrow x_1=\frac{4}{2}$ and $\Rightarrow x_2=\frac{-6}{2}$

$\Rightarrow x_1=2$ and $\Rightarrow x_2=-3$

Thus, the two root of the given quadratic equation $x^2-6=-x$ is 2 and -3 .

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3 years ago

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A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r

KIM [24]

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

AC = 5y + 6
BD = 8y-3

5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

-3y = -9

Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

Learn more about rectangles here:

brainly.com/question/25292087

#SPJ1

3 0

2 years ago