1. Given f(x)= 3x -4 and g(x)=-2x + 7 evaluate:
(g ∘ f) (6)

Answer:

1. 2 hours

2. 25cm

3. 6.84

Step-by-step explanation:

120÷3=40

4800÷40=120 so 2 hours

for the second one just divide 50 in half

for 3 just do $1.14×6

Answer:

1. 120 min

2. 25 cm

3. $6.84

Step-by-step explanation:

1. 120 words : 3min

multiply each side by 40 because 120 words times 4 is 4800 words

4800 words : 120min

2.   2 : 1 = length : width

multiply each side by 25 because 2 times 25 is 50 cm

50 cm : 25 cm

3. $1.14 : 100 grams

multiply each side by 6 because 100 grams times 6 is 600 grams

$6.84 : 600 grams

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Answer:

20 x 10

Step-by-step explanation:

because these ar​e the remaining digits :D

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

Answer: 8

Step-by-step explanation: Found the ratio of 6/12, which is 1/2, so I used ?/16, plugged it in.

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

Plot the points on a graph. You'll get a figure like a trapezoid.

Check the attached image.

_____

RainbowSalt2222 ☔

Answer:

84 Miles

Step-by-step explanation:

The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.

1220 - 100 = 1120

1120 + 50 = 1170

Answer: 1170

Answer:

1170

Step-by-step explanation:

HI hope you have a wonderful day.

We have 5 ft 9 in = 69 in, so

P(X > 69) = P((X - 64.1)/2.5 > (69 - 64.1)/2.5) = P(Z > 1.96)

where X and Z both represent women's heights, but Z is normally distributed with mean 0 and s.d. 1.

Then consulting a table of z-scores, you'll find that P(Z > 1.96) ≈ 0.025. So approximately 2.5% of women are taker than 5'9''.

Answer:

5/6 (decimal form: 0.83)

Step-by-step explanation:

Answer: 0.8333… (numbers keep going)

Step-by-step explanation:

Answer:

5a +8

Step-by-step explanation:

a+4a=5a

5a+8

=5a+8

Answer:

1428- one is in the thousandth place

the number beside is lower than five so drop it and add zero to the end

1000 -is now your answer

Step-by-step explanation:

hope this helps if not then sorry goodluck and bye

The number 1428 to the nearest thousand is 1000.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.

Hence round the number down.

So,  1428 to the nearest thousand is 1000.

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

so, the mean value is

(10+10+18+18+10+5+12+13)/8 = 96/8 = 12

the median is first not clear when ordering the data set, as we have an even number of elements.

5 10 10 10 12 13 18 18

so, we have to take the mean or average between the 2 middle numbers : 10 and 12.

(10+12)/2 = 22/2 = 11

the median is 11.

Answer:

70cm

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

Answer:

2.85 divided by 2.91 is 0.97938144329

so about 97.9 percent 2.1 percent decrease

Answer:

2.1

Step-by-step explanation:

put change over original times percent over 100

so .06 times 100 is 6 and 6 divided by 2.91 is 2.06 and rounding to the nearest tenth would be 2.1%

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

Answer:

Step-by-step explanation:

[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-0}{0-(-2)}[/tex] = [tex]\frac{-2}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

In this exercise we have to use the knowledge of polygon areas to calculate the area of ​​each of the informed objects, so we have to:

1) [tex]h = 19.1 in[/tex]

2) [tex]a = 6.7 ft[/tex]

3) [tex]e = 2.3 m[/tex]

4) [tex]y = 9.8 cm[/tex]

5) [tex]o = 71.6 ft[/tex]

6) [tex]e = 15.3 in[/tex]

7) [tex]y = 41.5 m[/tex]

8) [tex]o = 13.7 cm[/tex]

9) [tex]p = 18.5 ft[/tex]

10) [tex]s = 25.8 in[/tex]

11) [tex]b = 61.3 m[/tex]

12) [tex]n = 6.2 cm[/tex]

Then each of the figures will have its own area formula that corresponds to:

1) For the rectangle we find that:

[tex]14/11 = h/15\\h = 19.1 in[/tex]

2) For the rectangle we find that:

[tex]5/a = 9/12\\a = 6.7 ft[/tex]

3)For the rectangle we find that:

[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]

4) For the triangle we find that:

[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]

5) For the triangle we find that:

[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]

6) For the triangle we find that:

[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]

7) For the triangle we find that:

[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]

8) For the triangle we find that:

[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]

9) For the triangle we find that:

[tex]30/p = 13/8\\p = 18.5 ft[/tex]

10) For the trapezoid we find that:

[tex]20/s = 12/15.5\\s = 25.8 in[/tex]

11)For the triangle we find that:

[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]

12)For the triangle we find that:

[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]

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