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4 years ago

Please help! if anybody is good at equivalent polynomial expressions please help!!

Mathematics

1 answer:

butalik [34]4 years ago

8 0

The answer you have highlighted is correct. Here is why

$( \frac{ b^{2}-10 }{b^{2}-9})( \frac{b - 3}{b + 10})$
$\frac{(b+10)(b-10)}{(b+3)(b-3)}( \frac{b-3}{b+10})$ - Factor the top
$\frac{b-10}{b+3}$ - the (b-3)'s and (b+10)'s cancel out since on top and bottom.

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

Sam is practicing long track speed skating at an skating ring. The distance around the rink is 250 yards . He skated around thr

pentagon [3]

3 miles = 5,280 yards

6(250) = 1,500 yards

5,280 - 1,500 = 3,780 yards

4 0

3 years ago

Choose the answer that best translates

Kryger [21]

Answer:

OPTION B

Step-by-step explanation:

3 and 'a' are multiplied and 5 is subtracted from the result.

OPTION B says 5 less than 3 times a number would fit perfectly.

Other options talk about adding or taking ratios and clearly do not fit the case.

Hence, the right answer is Option B.

7 0

4 years ago

The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°

bezimeni [28]

M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = </span>11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140

m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40

answer

<span>m<4 = 40</span>

7 0

4 years ago

Read 2 more answers

Could you help me.

Sedbober [7]

Answer:

X-Large

Step-by-step explanation:

8 0

3 years ago