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Yuri [45]
3 years ago
9

If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,

and a > 1, then what is the value of a?
Answers to choose from is: a) 5, b) 6, c) 8, d) 9.
Mathematics
2 answers:
Aliun [14]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Plato

Vesnalui [34]3 years ago
3 0

Answer:

b) 6

Step-by-step explanation:

The function f(x) = 4 is simply the horizontal line y = 4. Therefore, the region bounded by the curve of the function f(x) = 4 on the interval [1, a] with  a > 1 is simply a rectangle whose length is (a-1) units and width 4 units. We have been informed that the area is 20 square units, therefore we can formulate the following equation using the formula for the area of a rectangle;

Area = length * width

20 = 4(a-1)

5 = a-1

a = 6

Therefore, the value of a should be 6.

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CAN SOMEONE HELP ME PLEASE ASAP!?
Black_prince [1.1K]

Step-by-step explanation:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor (here 1.5).

e.g. M (1, 1)

M' should be then (1.5, 1.5).

that eliminates the first and the third answer options.

e.g. J (1, 4)

J' should be then (1.5, 6)

do the second answer option is correct.

3 0
2 years ago
Convert 5.86 to a percent. A. 586% B. 58.6% C. 5.86% D. 0.0586%
beks73 [17]

Answer:

586%

Step-by-step explanation:

5.86 times 100 to change to a percent

586 %

7 0
3 years ago
Please help with this qn :)
zepelin [54]

Answer:

4 is the length

Step-by-step explanation:

14 and 4

14 x 14 + 4 x 4 = 212

14 + 4 = 18

7 0
2 years ago
A triangle has an area of 75 square centimeters. if the base and height have equal length, what is the link? Round to the neares
Leni [432]
1/2*bh=75
1/2*bb=75
b^2=150
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4 0
3 years ago
Helpp the topic is about limits
erik [133]

Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>

<em>kx - 3 =  {x}^{2}  + k</em>

1. Set both equations equal.

- k -  3 = 1 + k

2. Substitute <em>x</em><em> </em>= -1.

- 3 = 1 + 2k

3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.

- 4 = 2k

k =  - 2

Thus, <em>k</em><em> </em>= -2. Check by graphing the function.

8 0
3 years ago
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