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2 years ago

What are the zeros of f(x) = (x -7)(x − 3)(x - 2)?

Mathematics

1 answer:

Sauron [17]2 years ago

8 0

Step-by-step explanation:

that is really easy, when you have the function in such a factorial form already.

the zeros of the whole function are the x values that turn at least one factor to 0 (as when one factor is 0, then the whole expression is 0).

so, you get a zero, when x = 7, or x = 3, or x = 2.

because then either x-7 or x-3 or x-2 is 0.

therefore, C is the right answer.

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The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P

MAXImum [283]

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

6 0

3 years ago

Consider h(x)=x^2+8+15. identify its vertex and y-intercept.

OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, $[x = \frac{-b}{2a}, h(\frac{-b}{2a})]$ .

<h3>Use the equation: $[x = \frac{-b}{2a}, h(\frac{-b}{2a})]$ </h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

$x = \frac{-b}{2a}$

$x = \frac{-8}{2(1)}$

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0

2 years ago

What conclusion can be made based on this multiplication problem?

Mademuasel [1]

Answer: Your answer is D

Step-by-step explanation: pls mark me as brainiest and 7 x 3 = 21 or 21 / 3 = 7

4 0

2 years ago

Johnny ran at a constant rate of 5.125 miles per hour.If he ran for 2,116 hours, what was his average rate per second

kogti [31]

7,394,050 per second

3 0

3 years ago

A lawyer charges for her services based on the number of hours worked. The expression gives the total cost for h hours is 200h+2

zhannawk [14.2K]

H is the number of hours worked. So the expression 200h+250 is 200 times the number of hours plus 250.

Here's a few computations using different values for h

1 hour --> (200)(1)+250 = 450
2 hours --> (200)(2) + 250 = 650
3 hours --> (200)(3)+250 = 850
10 hours --> (200)(10)+250 = 2250

As you can see the 250 is fixed. It gets added to the cost no matter how many hours the lawyer works. This is most likely a flat fee. Just to meet the lawyer you pay $250.

The 200 gets multiplied by the hours worked. So the 200 is an hourly rate. The more hours the lawyer works, the more he gets paid because this part of the expression depends on the hours worked.

Thus, an interpretation of the expression 200h + 250 is that the lawyer charges a fee of $250 per consultation and an additional $200 per hour on top of that.

4 0

4 years ago