If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.

Answer:C.5

Step-by-step explanation:

Length of larger piece be x

x=12m

[tex]\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m[/tex]

Total length=65+12=77m

The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.

Given that length of the smaller piece is 12 meters.

The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.

Let's represent the length of the larger piece as "x."

Length of the smaller piece = 4 times the length of the larger piece + 5

12 = 4x + 5

Subtracting 5 from both sides:

12 - 5 = 4x

7 = 4x

Dividing both sides by 4:

7/4 = x

1.75 = x

So, the length of the bigger piece is 1.75 meters.

To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:

Total length of the carpet = Length of the smaller piece + Length of the bigger piece

Total length of the carpet = 12 + 1.75

Total length of the carpet is approximately 13.75 meters.

Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.

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Step-by-step explanation: There you will find your answer

The value of g(-3) comes to be 11 because g(x) is a constant function.

Given function is:

g(x) =11

Function g(x) is a constant function because g(x) is independent of x.

The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.

So, The value of g(-3) will be the same as the value of g(x) i.e. 11

So, value of g(-3) = 11

Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.

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Answer:

wth that's hard I can't answer that

Answer:

42

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

   2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6,  2•7 = 14,  3•7 = 21

we need to multiply the remaining factors together to find another perfect square

   2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

Step-by-step explanation:

13.

oh, come on !

you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"

it is a simple multiplication.

and hence the answer B.

the first hint is already in the table with 1 pizza costing $5.25.

2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...

so, the cost c = number of pizzas × $5.25

or short

c = p×5.25 or 5.25p

14.

the domain is the interval or set of valid values for the input variable (x) of a function/relation.

and the range is the interval or set of valid values for the result variable (y) of a function/relation.

so, the domain is the set {-3, -1, 0, 1, 3}.

and the range is the set {-4, 0, 2, 4}.

In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).

and that's what is done here.

it is a function.

each value of x is associated exactly with 1 result value of y.

a y value can be associated with more than one x value - no problem.

but no x value can have more than one associated y value - otherwise that would break the principle of a function.

Answer:

The slope is -2

Step-by-step explanation:

[tex]m = \frac{0 - ( - 4)}{2 - 4 } \\ m = \frac{4}{ - 2 } \\ m = - 2[/tex]

Answer:

this is correct

signs

1 quadrant = (+,+)

2 quadrant = (-,+)

3 quadrant = (-,-)

4 quadrant = (+,-)

Answer:

c. x=65

f. Alternate Exterior Angles

Step-by-step explanation:

2x+2=3x-63

2x=3x-65

-x=-65

x=65

They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles

Answer:

3 lbs

Step-by-step explanation:

20 mins is 1/4 lb (4oz)

1 hr is 3/4 lb (12 oz)

4 hrs= 3/4 lb or 12 oz × 4

4 hrs= 3 lbs or 48 oz

[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]

Answer:

Step-by-step explanation:

Answer:

All ordered pairs with the same x value

Step-by-step explanation:

A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set

Answer:

y = -1/4x + 2

Step-by-step explanation:

1. First you find m. Because the line is slanting downwards, you know it is negative. Then you can find the number by looking at the rise over run (rise/run). We can go up 1 (rise) and then to the side 4 (run). We go to the right side 4 because that is where the line intersects with up 1. So because the rise goes over the run, the number would be 1/4. But remember that it is negative so m = -1/4

2. Now we have to find c. For this you just have to go up or down the y-axis until you find the point where it intersects with the line. On this graph it intersects on positive 2. So c = + 2

Answer:

6 months

Step-by-step explanation:

We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

since it is a square, length of 1 side = 72/4= 18

so, the area = l x l= 18 x 18= 324 sq.cm

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

Since it is a square, length of 1 side = 72/4= 18

Therefore, the area = l x l= 18 x 18= 324 sq.cm

Hope this helps :)

Answer:

How can we answer it without question?

Line m and line l are parallel as m∠2 = m∠3

An equation is an expression that shows the relationship between two or more variables and numbers.

Two angles are said to be supplementary if they add up to 180 degrees.

m∠1 + m∠2 = 180° (Given)

m∠1 + m∠3 = 180° (sum of angles on a straight line)

Hence:

m∠1 + m∠2 = m∠1 + m∠3

m∠2 = m∠3

Line m and line l are parallel as m∠2 = m∠3

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Answer:

Step-by-step explanation:

3 = 2w

=> 2w = 3

[tex] = > w = \frac{3}{2} [/tex]

=> w = 1.5 (Ans)

Answer:

Range: {-5, 19, 31}

Step-by-step explanation:

Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.

In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.

f(x) = 2x + 1

f(-3) = 2(-3) + 1

f(-3) = -6 + 1

f(-3) = -5

f(9) = 2x + 1

f(9) = 2(9) + 1

f(9) = 18 + 1

f(9) = 19

f(15) = 2x + 1

f(15) = 2(15) + 1

f(15) = 30 + 1

f(15) = 31

Therfore, the range of the function is: {-5, 19, 31}.

Answer:

(-1,1)

Step-by-step explanation:

Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite  of (1,-1) would be (-1,1) ).

Hope this helped!

Answer: A

Step-by-step explanation:

By replacing in the given equation:

y=-3x-7

y=-3(-2)-7

y=6-7

y=-1

But for choices B, C and D the given x values don't fit with the images.

Answer:

Print it

Step-by-step explanation:

Step-by-step explanation:

check the attached file

Answer:

The slope is undefined

Step-by-step explanation:

A vertical line has points that have the same x-coordinate.

The equation is x = -3

The slope of a vertical line is undefined.

Answer:

The slope is undefined