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Simora [160]
2 years ago
13

Please help me pleaseeeeeeee

Mathematics
2 answers:
Leona [35]2 years ago
7 0

Answer:

the first blank is 2, the second one is 1

PtichkaEL [24]2 years ago
5 0

Answer:

Yellow box #1=2

Yellow box #2=1

Step-by-step explanation:

#1) 8-6=2

#2)8-7=1

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A certain class has 25 students. If 8 students play football and, 10 plays baseball and 6 plays both, how many students play nei
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Sarah has a laundry bag in the shape of a cylinder. The area of the bottom of the bag can be written as the function A(x) = x2 -
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As we know the volume of a prism is the product of height and base are

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When volume = height(base area )

V(x)= A(x) · H(x)
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8 0
3 years ago
Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known
Lostsunrise [7]

Answer:

To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)

To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.

Points on f(x):  (0, -4)  (2, 0)  (5, 6)

Points reflected in line y=x:  (-4, 0)  (0, 2)  (6, 5)

Plot points (-4, 0)  (0, 2)  (6, 5) and connect to form a straight line - this is the inverse of the function:  f^{-1}(x)

To determine the equation of f(x):

Choose 2 points on f(x):  (5, 6) and (0, -4)

Calculate the slope (gradient) by using:

m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2

Using the slope-intercept form:  y = mx + b

(where m is the slope and b is in the y-intercept)

From inspection of the graph, we can see the line crosses the y-axis at -4,

⇒ f(x) = 2x - 4

As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then

f(x) = 2x - 4,   0 ≤ x ≤ 5

To determine the equation of f^{-1}(x):

Rewrite f(x)  as  y = 2x - 4

Swap the x and y:  x = 2y - 4

Rearrange to make y the subject: y= \dfrac{1}{2}(x + 4)

Replace y with f^{-1}(x)

So the equation of the inverse is:   f^{-1}(x)= \dfrac{1}{2}(x + 4)

As the original function is a segment, then

f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6

(shown in blue on the attached diagram)

** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **

4 0
2 years ago
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