Is his answer correct

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Work Shown:

(g - f)(x) = g(x) - f(x)

(g - f)(x) = (-4x+1) - (x^2+2x-4)

(g - f)(x) = -4x+1 - x^2-2x+4

(g - f)(x) = -x^2+(-4x-2x)+(1+4)

(g - f)(x) = -x^2 - 6x + 5

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

Answer:

Wyzant

ALGEBRA WORD PROBLEM

Dorian S. asked • 06/28/17

THREE LINEAR EQUATIONS WITH THREE VARIABLES

A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,

and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%

acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?

How to set up as three linear equations to find the answer?

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1 Expert Answer

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Arthur D. answered • 06/28/17

TUTOR 4.9 (67)

Forty Year Educator: Classroom, Summer School, Substitute, Tutor

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set up 2 equations

the first equation...

15%*x+25%*y+70%*2y=45%*40

0.15x+0.25y+1.4y=0.45*40

0.15x+1.65y=18

multiply all terms by 100

15x+165y=1800

divide all terms by 15

x+11y=120

the second equation...

x+y+2y=40

x+3y=40

x=40-3y

substitute into the first equation x+11y=120

40-3y+11y=120

40+8y=120

8y=120-40

8y=80

y=80/8

y=10 liters

x+3*10=40

x+30=40

x=40-30

x=10 liters

10 liters of 15%, 10 liters of 25%, and 20 liters of 70%

check:

10*15%=1.5

10*25%=2.5

20*70%=14

1.5+2.5+14=18

18/40=9/20=45/100=45%

45%*40=18

hope it helps

please mark brainliest

Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Answer:

The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Step-by-step explanation:

I hope that helps!!!!!!!!!!

The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.

Answer:

b²-5

.................

Step-by-step explanation:

X+3X+90=360

4X+90=360

4X=360-90

4X=270

270÷4=67.5

X=67.5 degrees

Answer:

V = 168 km³

Step-by-step explanation:

We are given a triangle prism.

Volume of a triangle prism = ½*a*c*h

Where,

a = 8 km

c = 6 km

h = 7 km

Substitute

V = ½*8*6*7

V = 4*6*7

V = 168 km³

Answer:

2 and 3  

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. 

side ratio:  1/4-------   area ratio: 1²/4²  =  1/16   = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

 scale 1:4

Answer:

Solution given

r=1ft

π=3.14

now

Volume of sphere=⁴/3 πr³=⁴/3×3.14×1³=4.186ft³

=4ft³

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

One Solution (C)

Step-by-step explanation:

This is one solution because they only intersect once. No solution=no intersect  2 solution=intersect twice   infinite solutions= same line

Answer:

730

Step-by-step explanation:

2x365=730

Answer:

The is is 8.25 or 8 1/4.

Step-by-step explanation:

Just divide 33 by 4 to get your answer.

9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

Answer:

0.1849 = 18.49% probability of making 2 sales in 100 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either it is a success, or it is not. The probability of a call being a success is independent of any other call. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of success is 1/100

This means that [tex]p = \frac{1}{100} = 0.01[/tex]

What is the probability of making 2 sales in 100 calls?

This is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{100,2}.(0.01)^{2}.(0.99)^{98} = 0.1849[/tex]

0.1849 = 18.49% probability of making 2 sales in 100 calls

Answer:

5'9 ft

Step-by-step explanation:

He was built different

Answer:

x = 10

Step-by-step explanation:

2+3+4+5+6 = 20

(20 + x) / 6 = 5

cross-multiply:

20 + x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

There are 6 numbers in total: 2, 3, 4, 5, 6, and whatever x is. In order for the average to be 5 in this scenario, all numbers must add up to 30, because 30/6 = 5.

2 + 3 + 4 + 5 + 6 = 20. 30-20=10. This means x would need to equal 10.

Answer:

210=85+125-x+25

x= 235-210

x=25 failled in both

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

( - 4 ) x ( - 6 ) = 24

24 is the answer.

Answer:

28 because 116÷4=29 so she traveled 28 miles per hour

Answer:

Sarah drove 29 miles per hour.

Step-by-step explanation:

116 divided by 4 is 29.

Answer:

The unit of measure used in the study is "inches"

Answer

its C my dear

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Use the inverse variation equation, y = k/x

Plug in 7 as x and 15 as y, then solve for k:

y = k/x

15 = k/7

105 = k

So, the equation is y = 105/x

Find x when y = 21 by plugging in 21 as y:

y = 105/x

21 = 105/x

21x = 105

x = 5

So, when y = 21, x = 5

Answer:

[tex]10 feet^3[/tex]

Step-by-step explanation: