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ycow [4]
3 years ago
14

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

ntercept: ( , 0)
Mathematics
2 answers:
sergij07 [2.7K]3 years ago
4 0
X^2 + 2x - 15 = 0
(x - 3)(x + 5) = 0
x = 3 or x = -5
left-most x-intercept: (-5, 0)
right-most x-intercept: (3, 0)
eimsori [14]3 years ago
3 0

we have

f(x)=x^{2} +2x-15

we know that

The x-intercept is the value of x when the value of the function is equal to zero

so

in this problem

Find the roots of the function

equate the function to zero

x^{2} +2x-15=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +2x=15

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +2x+1=15+1

x^{2} +2x+1=16

Rewrite as perfect squares

(x+1)^{2}=16

Square root both sides

(x+1)=(+/-)\sqrt{16}

(x+1)=(+/-)4

x=-1(+/-)4

x1=-1+4=3

x2=-1-4=-5

x^{2} +2x-15=(x-3)(x+5)

therefore

<u>the answer is</u>

the x-intercepts are the points (3,0) and (-5,0)

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r-ruslan [8.4K]

Answer:

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7 0
3 years ago
(02.05 MC) A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is
Elena L [17]

Alright, lets get started.

Suppose total number of dancers in school = x

We have given in question, 42 % of total dancers are ballet dancers.

So, we could find number of ballet dancers by finding 42 % of total dancers.

Number of ballet dancers = x * 42 %

Number of ballet dancers = x * 42/100 = 0.42 x

As per given in question, there are 63 ballet dancers in school.

Which means 0.42 x = 63

Dividing 0.42 from both sides

0.42 x / 0.42 = 63 / 0.42

x = 150

Hence number of total dancers in school = 150 : Answer

Hope it will help :)

4 0
3 years ago
you earn a salary of $40,000 per year amd decide to save 20%of your gross pay.you then set a goal of creating a $16,000 emergenc
sveticcg [70]
2 years ( 20% of $40,000 = $8,000)
6 0
3 years ago
A bricklayer is able to set 2.5 bricks in one minute. How many bricks can he set in 8 hours?
pochemuha

Given:

A bricklayer is able to set 2.5 bricks in one minute.

Required:

To find the number of bricks can he set in 8 hours.

Explanation:

8 hours =480 minutes.

2.5 bricks in one minute.

So for 480 minutes,

\begin{gathered} =2.5\times480 \\  \\ =1200 \end{gathered}

Final Answer:

1,200 bricks can he set in 8 hours.

5 0
1 year ago
I need help my teacher's note didn't help at all please
Roman55 [17]

Answer:

1.0472

Step-by-step explanation:

60

= 60 × π/180 rad

= π/3 rad

Hope this helps! :)

8 0
3 years ago
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