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soldier1979 [14.2K]
3 years ago
12

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

Mathematics
2 answers:
adoni [48]3 years ago
8 0
Y-intercept: (0, -24)
Sveta_85 [38]3 years ago
7 0

Answer:

The y-intercept of f(x) is -24.

(0,-24)  C is correct.

Step-by-step explanation:

Given: f(x)=(x-8)(x+3)

We need to find the value of y-intercept.

For y-intercept, put x=0 into f(x) and solve for y because it lie on y-axis.

Put x=0 into f(x)

y-intercept=f(0)

f(0)=(0-8)(0+3)

f(0)=-24

y-intercept: (0,-24)

Hence, The y-intercept of f(x) is -24.

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3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
Morgarella [4.7K]

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the <u>prime factorization</u> of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the <u>highest exponent</u> in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0
3 years ago
Question 7
Elina [12.6K]
D is right because there is not tire
5 0
3 years ago
HELLLPP ME PLEASSEEE!!!!!
antoniya [11.8K]

The similar circles P and Q can be made equal by dilation and translation

  • The horizontal distance between the center of circles P and Q is 11.70 units
  • The scale factor of dilation from circle P to Q is 2.5

<h3>The horizontal distance between their centers?</h3>

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

<h3>The scale factor of dilation from circle P to Q</h3>

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

Read more about dilation at:

brainly.com/question/3457976

8 0
2 years ago
What does x equal in the equation 40÷x=6
padilas [110]

Answer:

x = \frac{20}{3}

3 0
3 years ago
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igor_vitrenko [27]

Answer:

The answer is the second answer choice

Step-by-step explanation:

3 0
3 years ago
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