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3 years ago

If f(x) = k(x - 2)4, where k is positive, what is the effect on

Mathematics

1 answer:

Reika [66]3 years ago

4 0

Answer:

The graph of f(x) is stretched vertically.

Step-by-step explanation:

$k$ is a stretch factor, which multiplies the primitive function $g (x) = (x-2)^{4}$ and $f(x)$ is stretched vertically.

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The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad

antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0

3 years ago

If there is a 50% chance of rain on Saturday and a 40 chance of rain on Sunday what is the probability of rain on both days

stira [4]

Answer:

50% i think

Step-by-step explanation:

4 0

3 years ago

Which equation is true for x = 1.8? x3 = 0.6 3x = 7.2 x + 3.1 = 5.5 6 = 3.6 + x

Olin [163]

Answer B

Step-by-step explanation:

Your answer should be written in paragraph/essay format.

Any sources used should be cited at the bottom of your paper.

All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.

If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.

7 0

3 years ago

The length of a rectangle is 7 meters more than four times its width if the area of the rectangle is 650 square meters, find the

mrs_skeptik [129]

Let the width be x.
Width = x
Length = 4x + 7

The area is 650 m²

x(4x + 7) = 650
4x² + 7x - 650 = 0

Using quadratic formula:
$x = \dfrac{-b \pm \sqrt{b^2 - 4ac} }{2a}$

a = 4, b = 7, c = -650

$x = \dfrac{-7 \pm \sqrt{7^2 - 4(4)(-650} }{2(4)}$

$x = 11.9 \ or\ x = -13.7 \text {(rejected, length cannot be negative)}$

Width = 11.9m
Length = 4(11.9) + 7 = 54.6m

Answer: Length = 54.6m and width = 11.9m

4 0

3 years ago

Solve for the missing variable.

yan [13]

Answer:

x ≈ 6.3
y ≈ 7.7
z ≈ 4.9

Step-by-step explanation:

In this geometry, there are three "geometric mean" relations that apply. They can be summarized by the rule ...

<em>a segment touching the hypotenuse is equal to the geometric mean of the segments of the hypotenuse it touches</em>.

For x and y, the two segments will be the short one (4 or 6, respectively) and the entire hypotenuse (4+6=10).

Using this rule, we have ...

x = √(4·10) ≈ 6.3

y = √(6·10) ≈ 7.7

z = √(4·6) ≈ 4.9

The geometric mean of two numbers is the square root of their product.

_____

<em>Additional comment</em>

These relations come about because all of the right triangles in this figure are similar. That means corresponding sides are proportional.

x/10 = 4/x ⇒ x² = 40

y/10 = 6/y ⇒ y² = 60

z/6 = 4/z ⇒ z² = 24

6 0

3 years ago