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3 years ago

Given that f(x)= x^2-6x and g(x)= x-8 calculate f•g(-2)

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

9514 1404 393

Answer:

f•g(-2) = -160

Step-by-step explanation:

f(-2) = (-2)^2 -6(-2) = 4 + 12 = 16

g(-2) = -2 -8 = -10

f•g(-2) = f(-2)•g(-2) = 16•(-10)

f•g(-2) = -160

Usimov [2.4K]3 years ago

6 0

Answer:

hope this pic helps.enjoy

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A jogger runs 6 miles per hour faster downhill than uphill. If the jogger can run 5 miles downhill in the same time that it take

muminat

Answer:

The speed of jogger in uphills is 4 mile per hour

And The speed of jogger in downhills is 10 mile per hour

Step-by-step explanation:

Given as :

The distance cover by jogger in downhill (Dd) = 5 miles

The distance cover by jogger in uphill (Du) = 2 miles

The time taken by jogger in downhill (Td) = T hour

The time taken by jogger in uphill (Tu) = T hour

Let The speed of jogger in uphills (Su) = x mph

So ,The speed of jogger in downhills (Sd) =( x + 6 ) mph

∵, Time = $\frac{Distance}{Speed}$

So, Tu = $\frac{Du}{Su}$

Or, T = $\frac{2}{x}$ h

And Td = $\frac{Dd}{Sd}$

Or, T = $\frac{5}{(x + 6)}$ h

∵ Time duration of both is same

∴ $\frac{2}{x}$ = $\frac{5}{(x + 6)}$

Or, 2 × (x + 6) = 5x

Or, 2x + 12 = 5x

So, 12 = 3x

∴ x = $\frac{12}{3}$ = 4 mph

And x + 6 = 4 + 6 = 10 mph

Hence The speed of jogger in uphills is 4 mile per hour

And The speed of jogger in downhills is 10 mile per hour Answer

5 0

3 years ago

You need to put your reindeer, Balthazar, Rudy, Jebediah, and Ezekiel, in a single-file line to pull your sleigh. However, Ezeki

Strike441 [17]

Answer:12

Step-by-step explanation:

Given

Balthazar,Rudy,Jebediah and Ezekiel in a single-File line to pull sleigh

Jebediah and Ezekiel Stay together

i.e. we need to arrange three person considering Ezekiel and jebediah as Single person

therefore 3 person can be arrange in 3! ways =6

and also Ezekiel and Jebediah can be arranged in 2 ways

Therefore a total of $2\times 6$ ways are possible

7 0

3 years ago

Is 7a prime number or composite number?

lubasha [3.4K]

composite, When a number has more than two factors it is called a composite number.

6 0

4 years ago

Unit 1 Lesson 5 Cumulative Practice Problems Geometry Illustrative Mathematics answer key

AnnZ [28]

Congruent distance is a term used for distance with equal measurements. EA and EB are congruent; FA and FB are also congruent

I've added as an attachment, the image of the complete question.

From the attached image of the circles, we have the following observations

Points A and B are at the centers of both circles
Point E is at the exact point of intersection of both circles
Point F is also at the exact point of intersection of both circles (opposite point E).

These observations mean that:

The distance from A to E and B to E are the equal (congruent)
The distance from A to F and B to F are the equal (congruent)

Hence,

<em>Distance EA and distance EB are congruent;</em>
<em>Distance FA and distance FB are congruent;</em>