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3 years ago

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

2 answers:

6 0

Answer: Second option: (4,0) and (-9,0)

f(x)=x^2+5x-36

The x-intercepts of the graph of a function f(x) are the values of the variable x that makes f(x)=y equal to zero. To find these values we only have to equal f(x)=y to zero:
f(x)=y=0
x^2+5x-36=0

Factoring the polynomial:
(x+9)(x-4)=0

Using that if a b=0, then: a=0 or b=0
with a=x+9 and b=x-4

x+9=0 or x-4=0

Solving for x:
x+9-9=0-9 or x-4+4=0+4
x=-9 or x=4

Then the x-intercepts are the poitns (x,y)=(x,0):
(4,0) and (-9,0)

skelet666 [1.2K]3 years ago

4 0

B, is correct i just took the edgnuity unit test

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Rewrite each expression as a sum or difference of terms. (i) (x+3)(x-3) (ii) (x^2-3)(x^2+3) (iii) (x^15+3)(x^15-3) (iv) (x-3)(x^

klasskru [66]

Answer:

All the answers are given below.

Step-by-step explanation:

(i) (x+3)(x-3) =x² -3² =x² -9 {Since (a+b)(a-b) =a² -b²}

(ii) (x²-3)(x²+3) =(x²)² -3² = $x^{4} -9$ {Since (a+b)(a-b) =a² -b²}

(iii) $(x^{15} +3)(x^{15}-3) =(x^{15} )^{2}-3^{2} =x^{30} -9$

(iv) (x-3)(x²-9)(x+3) =(x²-9)(x²-9)=(x²-9)²= $x^{4}-18x^{2} +81$ {Since, (a-b)² =a²-2ab+b²}

(v) (x²+y²)(x²-y²) = (x²)² -(y²)² = $x^{4}-y^{4}$

(vi) (x²+y²)² = $x^{4}+2x^{2} y^{2} +y^{4}$ {Since (a+b)² =a²+2ab+b²}

(vii) (x-y)²(x+y)² =(x²-y²)² = $x^{4} -2x^{2} y^{2}+y^{4}$ {Since (a-b)² =a²-2ab+b² and (a+b)(a-b) =a²-b²}

(viii) (x-y)²(x²+y²)²(x+y)² =(x²+y²)²(x²-y²)² = $(x^{4} -y^{4} )^{2} =x^{8}-2x^{4} y^{4} +y^{8}$ (Answer)

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3 years ago

A store has a coupon for $10 off and a discount of 20%. Write a function for the coupon. Use x for the original price and C for

Ludmilka [50]

<h2>Explanation:</h2><h2></h2>

We know some facts:

x for the original price.
The store has a coupon for $10 off and a discount of 20%
C for the price after the coupon is applied.

So from the statement 2, you can realize there are two types of discounts:

The discount offered by the coupon
The discount offered by 20%

Since we need to write a function just for the coupon, then we don't include the discount offered as percentage, then we subtract the coupon from the original price:

$\boxed{C=x-10}$

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3 years ago

A student wants to graph his earnings for each week during the next calendar year. He wants to see how his earnings change

Artyom0805 [142]

Answer:

Step-by-step explanation:

Line graph

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3 years ago

Helpppp y’all sososososo

Scorpion4ik [409]

Answer:

3/4

Step-by-step explanation:

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3 years ago

Read 2 more answers

There are 36 students in the class 1/6 students are wearing blue shirts and 2/3 are wearing white shirts how many are wearing a

Marat540 [252]

Answer:

The answer would be 1/6 kids are wearing shirts that are neither blue or white.

Step-by-step explanation:

So, to make this easier, lets convert 2/3 to a same denominator fraction.

We must ask, how many times does 3 go into six?

We multiply 3 by 2 and get six. We then multiply the numerator of 2 by the same, getting 4.

Our new fraction is 4/6 which is equal to 2/3.

Then we add 4 to 1, making it 5. That is the amount of students wearing blue and white shirts, which means

1/6 of the kids in the class are wearing shirts that are neither white nor blue.

Hope this helps,

<em>waffletowne </em>

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3 years ago