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krek1111 [17]
2 years ago
10

Let f(x) = 5x – 4 and g(x) = x² – 1. Find each value.

Mathematics
1 answer:
Naily [24]2 years ago
8 0

Answer:

35.)   80

36.)   11

37.)   15

38.)   21

39.)   -9

40.)   -1

Step-by-step explanation:

In simplified terms the question is asking

35.)   g(f(-1)) =

         g(-9) = 80

36.)   f(g(2)) =

         f(3) = 11

37.)   g(f(0)) =

        g(-4) = 15

38.)   f(g(root6)) =

         f(5) = 21

39.)   f(g(0)) =

         f(-1) = -9

40.)   g(f(4/5)) =

         g(0) = -1

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A supermarket is selling two types of​ candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and
garik1379 [7]

The question here has wrong numbers. Here is the correct question:

A supermarket is selling 2 types of candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and the strawberry leaves cost $1.77 per pound. How many pounds of each should be mixed to get a 13-pound mixture that sells for $19.01?

Answer:

8 pounds of orange slices and 5 pounds of strawberry leaves

Step-by-step explanation:

This question is related to simple algebra

Let x represent orange slices weight

Let y represent strawberry leaves weight

The sum of the weights of x and y will be 13 pounds

So first equation will be x + y = 13

The total cost will be $19.01

So the second equation will be

1.27x + 1.77y = 19.01

Using first equation  

x + y = 13

x = 13 – y

Substituting this in the second equation

1.27 (13 - y) + 1.77y = 19.01

16.51 – 1.27y + 1.77y = 19.01

16.51 + 0.5y = 19.01

y = 5

 

Using this value of y to find x

x = 13 – y

x = 13 – 5

x = 8

So 8 pounds of orange slices and 5 pounds of strawberry leaves

3 0
2 years ago
Read 2 more answers
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet
Iteru [2.4K]

Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

4 0
3 years ago
Vega wants to prove that the segment joining midpoints of two sides of a triangle is half the length of the third side. Select t
konstantin123 [22]

Answer:

The Answer is D : In triangle EFG△ , if EH=HF and EI=IG , then HI= 1/2 FG

​

FGH, I, equals, start fraction, 1, divided by, 2, end fraction, F, G.

Step-by-step explanation:

I Saw on Khan Academy

7 0
3 years ago
How much p² – q² + 2pq is less than -2p² -2q² + 7pq +10 ?
ValentinkaMS [17]

Answer:   3p² + q² - 5pq - 10 < 0

<u>Step-by-step explanation:</u>

p² - q² + 2pq < -2p² - 2q² + 7pq + 10

since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.

(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0

    3p²      +        q²        +      -5pq       +   -10  < 0

3p² + q² - 5pq - 10  < 0

6 0
3 years ago
Here is a system of linear equations: y = 3x + 4 y = 3x - 7 How many solutions, if any, does this system have?
marysya [2.9K]

Answer:

Step-by-step explanation:

y = 3*x  + 4

y = 3*x -   7

Each one of the above equations is the equation for a straight line.

The solution for such a system is the point P ( x₀ , y₀ ) which coordinates belong to both straight lines. According to this, there is only one solution for that system ( only one point of intersection). The intersection of a pair of straight lines either can occur or not depending on the slope of the lines, if they have the same slope they are parallel, then they did not touch each other ever. How can m,  be identified in the straight line equation??,   just by looking at the coefficient of x.  

The two equations have slope 3 they are parallel then there is not a solution ( there is not a common point to both equations)

7 0
2 years ago
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