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koban [17]
3 years ago
9

4.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
So the original shoes cost 100%, but you are paying 15% less than 100%. 100-15 is 85, so 85% or .85 is your answer.
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Write the equation of the following graph in intercept form.
Kobotan [32]

Answer:

A) f(x)=0.2(x+2)(x-5)

Step-by-step explanation:

The graph has x-intercepts at x=5 and x=-2, so our factors for the polynomial will be x+2 and x-5. This means we can rule out options B and D.

Our graph also has a y-intercept of y=-2 when x=0, so if we let f(x)=-2 and x=0, we can find the multiplier:

f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a

Thus, the correct equation is A) f(x)=0.2(x+2)(x-5)

8 0
2 years ago
N the diagram, and are horizontal lines and is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates of point D?
riadik2000 [5.3K]
<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment. Given that FB : FC = 4 : 3, From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1). We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A) Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1)) Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3. Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4). Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3. Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4). Therefore, the coordinates of point D is (-6, -4).</span>
5 0
3 years ago
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
salantis [7]

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

6 0
3 years ago
Read 2 more answers
Which set of ordered pairs could NOT represent a function?
Kisachek [45]
C does not represents a function
4 0
2 years ago
Read 2 more answers
Alex wants to put a fence around a square garden. The garden has an area of 784 ft2.
Irina18 [472]
P = 4s
P = 4(28)
P = 112 ft

The perimeter of the garden is 112 feet.
7 0
3 years ago
Read 2 more answers
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