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RUDIKE [14]
3 years ago
15

Which expression represents the composition [g-f. h](x) for the functions below?

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

the composition of the expression [g-f.h](x) is g(x)=5x2

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Let U = {a, b, c, e, d, e, f, g, h, i, j, k}; A = {a, b, e, f, h, j}; B = {b, c, d, f, j}. Draw a Venn Diagram with a rectangle
marishachu [46]
<h3>Answer: Venn Diagram is below</h3>

The rectangle represents the universal set (marked as "set U"). Everything is contained in this rectangle.

Circle A represents set A = {a, b, e, f, h, j}

Circle B represents set B = {b, c, d, f, j}

The common elements between the two sets are {b, f, j}, so we'll write these three values in the overlapping portion of the two circles.

The items {a,e,h} will go in circle A, but not in the overlapping portion since they are found only in set A.

Similarly we'll have {c,d} go in circle B but not in the overlapping portion since these items are only found in set B.

The remaining terms {g, i, k} go outside both circles, but inside the rectangle, because neither of these elements are in set A or set B.

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3 years ago
SO LOST! ASAP!<br><br> Please show proof of your answer! I’m so lost...
Luba_88 [7]

Answer:c. Y=(x-3)^2-2

Step-by-step explanation: y=(x-3)^2-2

Y=x^2-6x+7

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3 years ago
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Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
zvonat [6]

Answer:

\sf y=-\dfrac12x+2

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12

Slope-intercept form of linear equation:  \sf y=mx+b

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

Given:

  • \sf m=-\dfrac12
  • b = 2

\sf \implies y=-\dfrac12x+2

3 0
2 years ago
(7x+6) + (9x-24) = 180
Tems11 [23]

Answer:

x=99/8

Step-by-step explanation:

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3 years ago
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Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
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