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solmaris [256]
3 years ago
14

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

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

We write f(x) in terms of y I.e y=7x-1/2.

Fractions are sometimes ambiguous, we eliminate the fraction by multiplaying the entire function by 2.so as to get 2y=14x-1.

Make x the subject, x=2y+1/14,

Thus the inverse f(x)=2x+1/14

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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
What are the remaining angle measures if the figure is to be a parallelogram
antoniya [11.8K]

Answer: b=101 c=79 d=101


Step-by-step explanation:

since it is a parallelogram opposite angels are congruent a = c ad b=d

because we know a=79 c must equal 79

and because all the angles must add up to 360 add 79+79 = 158

then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101

4 0
3 years ago
Read 2 more answers
The cost to enter the zoo is $20 for adults and $15 for children. In one day, 45 adults and 600 children visited the zoo. How mu
jenyasd209 [6]

Answer:

the answer is 9,900

Step-by-step explanation:

you multiply 20 times 45. 20 for the cost of adults and 45 for how many adults. and then you mulitpy 600 times 15 because children cost 15 dollars and their was 600 children. and then you add both up to get 9,900

4 0
3 years ago
Figure 3:
Firdavs [7]
C) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.
8 0
3 years ago
The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o
Nimfa-mama [501]

Answer: b(t(h))=135h^2+180h+125


Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function  b(t)=15t^2-60t+125 , where t is the temperature of food in degrees Fahrenheit.

The function t(h)=3h+4 gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125

So, The number bacteria in the food in h hours is given by:

b(t(h))=135h^2+180h+125


4 0
3 years ago
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