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3 years ago

What are the zeros of the polynomial function?

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Solution:

we have been asked to find the zeros of the given polynomial function.

The given Polynomial function is

$f(x)=x^2+9x-70$

As we know that the zeros of the polynomial function is defined as the values for which the function returns zero.

So we can write

$x^2+9x-70=0\\ \\ x^2+14x-5x-70=0\\ \\ \ x(x+14)-5(x+14)=0\\ \\ \ (x+14)(x-5)=0\\ \\ \Rightarrow x=5, x=-14$

The zeros of f(x) are 5 and -14

sesenic [268]3 years ago

6 0

X^2 + 9x - 70 = 0

x^2 - 5x + 14x - 70 = 0

x(x - 5) + 14(x - 5) = 0

(x - 5)(x + 14) = 0

Answer is 5, -14

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Two sides of a triangle have the same length. The third side measures 4 m less than twice the common length. The perimeter of th

velikii [3]

Answer:

the length of the two equal sides: 8m

the length of the third side: 8m-4m=4m

8m×2+4m=20m

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4 years ago

How to do RX - sx + y equals B plzz explain how to get the answer there all variables!!!!

zalisa [80]

Rx - sx + y = b

WHEN SOLVING FOR X :

rx - sx + y = b

We must get x onto it's own side, so subtract y from both side.s

rx - sx = b - y

Then, factor out x.

x(r - s) = b - y

Then, divide both sides by (r - s).

x(r - s) ÷ (r - s) = b - y ÷ (r - s)

Simplify.

x = b - y / r - s → $x = \frac{b-y}{r-s}$

WHEN SOLVING FOR Y :

rx - sx + y = b

We need to isolate y, so get rid of everything BUT y on the left side.

Subtract rx from both sides.

-sx + y = b - rx

Then, add sx to both sides.

y = b - rx + sx

~Hope I helped!~

5 0

4 years ago

A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of

Fed [463]

<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.

Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).

The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or

sqrt(25(2)+25(2)) = sqrt(100) = 10.

</span>

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3 years ago

Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase

KIM [24]

The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.

The final price of the book is $20.12 and Maria can get it and still save a little money

8 0

3 years ago

Read 2 more answers

The base and the height of a rectangle are represented by the expressions below.

PIT_PIT [208]

The length of the base is 27 and the length of the height is 17.

To find the answer, you need to add up each side twice and set it equal to 88.

x-6+x-6+x+4+x+4=88

That is equal to: 4x - 4 = 88

Add 4 to both sides: 4x = 92

Divide by 4: x = 23

Now plug 23 in for x:

Base: 23 + 4 = 27
Height: 23-6=17

7 0

4 years ago