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zalisa [80]
2 years ago
6

Jim can read 17 pages in 12 minutes. If he can maintain this pace, how many pages can he read in one hour?

Mathematics
1 answer:
Lostsunrise [7]2 years ago
7 0
Answer: 85 pages
cross multiply 60 x 17 = 1020 / 12 = 85

17 85
— = —
12 60
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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
Help me out please:)
stich3 [128]

Answer:

the answer is

(8.5,13.5)

5 0
3 years ago
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of
Rzqust [24]

Answer:

x=12

Step-by-step explanation:

For the given situation , a quantity x is added to \frac{1}{4} x gives 15.

We can set up equation as

x+\frac{1}{4}x=15

Multiply each term by 4 on both sides to get rid the denominator.

It gives,

4 x+x=60

Now, combine like terms

5 x=60

Divide both sides by 5

x=12.

6 0
3 years ago
Find the length and area of rectangle whose diagonal is =26cm and breath is =10cm​
givi [52]

Answer:

240cm²

explanation

Diagonal ²=Length ²+breath ²

26²=10²+length ²

676=100+length ²

576=length ²

length=24cm

Area of a rectangle=length×breath

Area=24×10

=240cm²

3 0
3 years ago
Moselle is riding a roller coaster that is 155 feet high.
DerKrebs [107]

Answer:

91

Step-by-step explanation:

155-16s²

155- 16x2²

155- 16x4

155-64

91

5 0
2 years ago
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