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77julia77 [94]
3 years ago
8

Which function below is the inverse of f(x)= 7x-1/2

Mathematics
1 answer:
lianna [129]3 years ago
8 0

f(x)=7x-\dfrac{1}{2}\to y=7x-\dfrac{1}{2}\\\\\text{we change x to y and y to x}\\\\x=7y-\dfrac{1}{2}\\\\\text{solve for y}\\\\7y-\dfrac{1}{2}=x\ \ \ \ |+\dfrac{1}{2}\\\\7y=x+\dfrac{1}{2}\ \ \ \ \ |:7\\\\\boxed{y=\dfrac{1}{7}x+\dfrac{1}{14}}\\\\Answer:\ \boxed{f^{-1}(x)=\dfrac{1}{7}x+\dfrac{1}{14}}

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Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box
dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0
3 years ago
Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!
madam [21]
Hello,

x²/25+y²/9=1

a=5, b=3 c²=a²-b²=25-9=16=4²

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3 0
3 years ago
7 - r/8 - 3d <br><br><br><br> Variables <br><br> r=32 and d= 2
satela [25.4K]

The required value if r = 32 and d = 2 is -3

Given the expression

7-\frac{r}{8} - 3d

Substituting the given variables

r = 32

d = 2

The expression becomes

= 7-\frac{32}{8} - 3(2)\\= 7 - 4 - 6\\= 3 - 6\\= -3

Hence the required value is -3

Learn more here: brainly.com/question/17499155

6 0
2 years ago
A gumball machine has 330 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in th
patriot [66]
75% = 330 gumballs

Find 1%:
1% = 330 ÷ 75 = 4.4 gumballs

Find 100%:
100% = 4.4 x 100 = 440 gumballs.

Answer: 440 gumballs.
3 0
3 years ago
Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from L
Aloiza [94]

Answer:

Conway is 312.50 miles from Littleton

Step-by-step explanation:

Given

Scale: 1\ in = 50\ mi

See attachment

Required

Distance between Conway and Littleton

The scale distance between Conway and Littleton is 6.25 inches.

So, the actual distance is calculated as:

1\ in = 50\ mi

Multiply both sides by 6.25

6.25 * 1\ in = 50\ mi * 6.25

6.25\ in = 312.50\ mi

<em>Hence, Conway is 312.50 miles from Littleton</em>

7 0
3 years ago
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