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AveGali [126]
3 years ago
12

Find the equation of the line passing through the given points, (1,5) and (2, 7). Which

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
Slope formula (y2-y1)/(x2-x1)

(7-5)/(2-1) slope is 2

then plug in a coordinate point into the equation

y=2x+b

7=2(2)+b

b=3

therefore the equation is

y=2x+3
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V=8cm

Step-by-step explanation:

V=a³

a=∛64


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Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c
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67

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A complete graph of the polynomial function f is provided. Use your knowledge of the domain, range, behavior at each x intercept
Papessa [141]

The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

<h3>How to determine the equation?</h3>

From the graph, we have the following observations:

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  • The graph changes the factor of its direction at x = -5

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

The curve is inverted,

This means that a < 0

Assume a = -1.

Then, we have:

f(x) = -(x + 5)³(x - 2)²

Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

Read more about polynomials at:

brainly.com/question/4142886

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3 0
2 years ago
State the y-coordinate of the y-intercept for the function below.
marta [7]

Answer:

1

Step-by-step explanation:

y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

f(x)=x^{3}-x^{2} -x+1

Substituting x = 0 in this function, we get:

f(0)=0^{3}-0^{2}-0+1=1

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)

3 0
3 years ago
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