MATHEMATICS HIGH SCHOOL

A recipe that makes 8 servings calls for 2/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of flour does Jeff need?

A. 4 4/5


B. 1 1/4


C. 3/4


D. 12/25

Answers

Answer 1
Answer: THE CORRECT ANSWER IS C

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An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.Which equation represents the depth of the lake, y, based on the number of weeks passed, x? y = -0.6x + 346 y = -1.2x + 346 y = -0.6x y = -1.2x
Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD? 15 units 17 units 18 units 20 units
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Using the example above, the new high way will be a total of 54 miles long. Will the highway be finished in 8 months
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F (x) = cx + 3In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?

Answers

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

 Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

Help on Question number 14 Determine whether each of the following is the graph of a function.

Answers

14-YES\n\n15-NO\ because\ for\ x=0\ function\ takes\ some\ value
14. 'y' is a function of 'x'. 15. 'x' is a function of 'y'.

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +61. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

  • 11^(16)*11^1=11^(16+1)=11^{17

2. a to the power of 6 x a to the power of 8

  • a^6*a^8=a^(6+8)=a^(14)

3. (-2) to the power of 12 x (-2) to the power of 1

  • (-2)^(12)*(-2)^1=(-2)^(12+1)=(-2)^(13)

4. 1.1 to the power of 7 x 1.1 to the power of 9

  • 1.1^7*1.1^9=1.1^(7+9)=1.1^(16)

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

  • 3^4*3^2=3^(4+2)=3^6

the sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual sears tower?

Answers

24 : 1450
model : sears tower
I hope I helped! ;)

Plz factor
2x^2+17x-21

Answers

2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
     2a
so

-17 +/- (17^2-4(2)(-21))^1/2
       2(2)
-17 +/- (457)^1/2
       4

so the zeros are roughly 1.094 and -9.594

Solve: 3(2x - 5) = 6x - 15
A) 0
B) 1
C) 20
D) infinitely many solutions

Answers

Based on the calculations, the value of x is equal to: D) infinitely many solutions.

Given the following data:

  • 3(2x - 5) = 6x - 15

How to determine a solution.

In this exercise, you're required to solve for a solution that satisfies the given equation. Thus, we would simplify the equation and find the value of x as follows:

Opening the bracket, we have:

6x - 15= 6x - 15

Next, we would rearrange the equation by collecting like terms:

6x-6x=-15+15\n\n0=0

Read more on equations here: brainly.com/question/13170908
If you would like to solve 3(2x - 5) = 6x - 15, you can do this using the following steps:

3(2x - 5) = 6x - 15
3 * 2x - 3 * 5 = 6x - 15
6x - 15 = 6x - 15
0 = 0

The correct result would be D) infinitely many solutions.
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