If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)? 12 14 36 38

Answer:

4(3x-y)

Step-by-step explanation:

Given:

[tex]\displaystyle \large{3(3x-y)-(y-3x)}[/tex]

To factor this kind of expression, first, find the common factor.

[tex]\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}[/tex]

Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.

Let u = 3x-y

[tex]\displaystyle \large{3u+u}\\\displaystyle \large{4u}[/tex]

Change u back to 3x-y:

[tex]\displaystyle \large{4(3x-y)}[/tex]

Therefore, the factored expression is 4(3x-y).

Answer: The answer to this expression is -10x

Step-by-step explanation:

We distribute -2x t the equation inside of the parenthaseis

[tex]-2 x (10 + (-5))[/tex]

[tex]-2x*10=-20x[/tex]

[tex]-2x*-5=10x[/tex]

[tex]-20x +10x=-10x[/tex]

The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of getting a soda at the movie theater is 70%.

[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]

By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.

Thus, the probability that the next three guests in the movie theater will get a soda is,

[tex]P^3=0.7^3\\P^3=0.343[/tex]

Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

Learn more about the probability here;

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If x = 1/4 and Y = 3/7

Evaluate the following expression: 7x - 4y

[tex] \\ [/tex]

[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]

[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]

[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]

[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]

[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]

Therefore, the answer is 1/28.

Answer:

Step-by-step explanation:

[tex]\text{Substitute the values of x and y in the expression}[/tex]

[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]

            [tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]

Answer: C: -4, -6 B:-14, -6 A:-14, -18

Step-by-step explanation: Multiply all of your points by 2

Answer:

area of the four walls

= a^2 x 4

Answer:

249 centimeters squared

Step-by-step Explanation:

The area of the rectangle: l x w, where l is the length and w is the width.

= 15.5 x 18

= 279

Area of the smaller rectangle: l x w, where l is the length and w is the width.

= 4 x 7.5

= 30

We do not need this 30.

Area of the shaded region:

= 279 - 30

= 249 cm²

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

volume of a cylinder = nr^2h

n = 22/7

r = radius

903 = 11.5 x r^2 x 3.14

r^2 = 903 / (3.14 x 11.5)

r = 5 cm

diameter = 10cm

Answer:

No because there can only be one answer.

Step-by-step explanation:

Statistical questions have to have more than one answer in order for it to be statistical.

Step-by-step explanation:

please mark me brilliant

Step-by-step explanation:

5. θ = 60°

→ To find the value of y ,

Cos θ = b/h

putting the values in terms of cos

Cos 60° = y/16

1/2 = y/16

16/2 = y

y = 8 unit

→ To find the value of x ,

Sinθ = P/h

putting the values in terms of sin

Sin60° = x/16

√3/2 = x/16

16×√3/2 = x

16×1.73/2 13.84 unit

6. θ = 30°

→ To find the value of y

tanθ = p/b

putting the values in terms of tan

tan 30° = 2/y

1/√3 = 2/y

2×√3 = y

3.46 unit = y

→ To find the value of x

Sin θ = p/h

putting the values in terms of sin

Sin 30° = 2/x

1/2 = 2/x

4 unit = x

Answer:

65%

Step-by-step explanation:

set a porportion

245 =x

377  100

245x100= 24500/377  = 64.9 rounded = 65%

Answer:

y = -3/4x - 1/2

Step-by-step explanation:

Given:

Point 1: (1, -4)

Point 2: (3, -5)

Find:

The equation for the line that passes through Point 1 & Point 2

Solution:

y = mx + b

Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept

m = ( y2 - y1 ) / ( x2 - x1 ) = ( -5 - (-4) ) / ( 3 - 1 ) = -1 / 2

∴ m = - 1/2

Using either P1 or P2, plug in one of their respective x- and y-values into:

y = -1/2 x + b

I'll do (3, -5):

-5 = -1/2 ( 3 ) + b

-2 = -3/2 + b

-4 = -3 + 2b

-1 = 2b

∴ b = -1/2

∴ y = -3/4x - 1/2 is the equation of the line that passes thru both points (-5, 4) and (3, -2)

Answer:

94 Wins

Step-by-step explanation:

Here we need to find the mean, to do this we add up all the values then divide the sum by how many values we started out with.

97 + 103 + 92 + 95 + 84 = 471

471 / 5 = 94.2

since we got a decimal we can round to find an exact number; since the decimal is under .5 we will round down, 94

So 94 wins would be the correct answer. Hope this helped!

Answer:

f<25, she can make less than 25 flowers to have enough time, (I think the inequalitie sign should have a line underneath it tho meaning, less than or equal to 25 flowers, which would only make sense)

Step-by-step explanation:

First you need I subtracted 15 from 90 which got me 75.

15 + 3f<90

-15       -15

_________

0           75

3f<75

__

3f  

75 divided by 3f= 25

Answer:

2 inches

Step-by-step explanation:

If 10 inches of snow fell each hour, then you divide that by five hours to get your average, which then equals 2.  So your answer is 2 inches per hour.

I hope this answered your question and helped you :)

Answer:

Looking at the graph it looks like 5 inches in 2 1/2 hours

Hope this helps :)

Answer: 3p

Step-by-step explanation: The reason is because -3 + 6 = 3, therefore -3p + 6p = 3p. I hope this helped! If I did anything wrong then please let me know! :)

[tex] - 3p + 6p[/tex]

first you'll have to combine light terms, both are light terms so,

[tex] - 3p + 6p[/tex]

[tex] =3p[/tex]

Step-by-step explanation:

the present price of a motorcycle is Rs 2,25,000.if it's price is depreciated per year by 8% after how many years will the price of the motorcycle be rs 1,75,204.80?

Answer:

x = -9
y = 9

Step-by-step explanation:

If we know that x  =  -5y + 36
The second line says that
5x + 5y = 0
We can substiute the value of x from the first line into the second line.

So it becomes
5 ( -5y+36) + 5y = 0
Distribute the 5 over the parentheses
-25y + 180 +5y = 0
Then we can add things that are alike; so that means we can add the y values
-20y + 180 = 0
Then add 20y to both sides of the equation
180 = 20y
Then you divide by 20.
You get 9 = y!
Now that you have the value of y, you can put it back into the intial question.
5x+5y = 0
5x + 5(9) = 0
5x + 45 = 0
5x = -45
x = -9

Answer:

x=-9 y=9

Step-by-step explanation:

Substitute x:

5(-5y+36)+5y=0

Use Distributive property

-25y+180+5y=0

Add Like terms

-20y+180=0

Subtract 180 from both sides

-20y=-180

divide -20 from both sides

y=9

Solve for x by substituting the value of y into the equation x= -5y + 36

to get x=-9

Answer: 15ft or 7(2)

Step-by-step explanation:

The opposite side or the side standing up is the "x" side the hypotenuse is double the size of the opposite in a 30-60-90.

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

Answer:

w = 9 7/10

Step-by-step explanation:

w + 4 1/4 = 13 19/20

Subtract 4 1/4 from each side

w = 13 19/20 - 4 1/4

Get a common denominator of 20

w = 13 19/ 20  - 4 1/4*5/5

w = 13 19/ 20  - 4 5/20

w = 9 14/20

We can simplify

w = 9 7/10

Rewrite the fractions to have the same denominator:

1/4 can be rewritten as 5/20

now you have w + 4 5/20 = 13 19/20

Solve for w by subtracting 4 5/20 from both sides:

W = 9 14/20 which can be rewritten as 9 7/10

answer: 9 7/10

Answer:

9

Step-by-step explanation:

Since Area = L × W

Thus,

Area = (x + 2)(2x - 5) = 56

x^2 +4x - 5x - 10 = 56

x^2 - x - 10 = 56

x^2 - x - 66

Using the quadratic formula:

a = 1

b = - 1

c = - 66

Solving:

[tex]\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}[/tex]

[tex]\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}[/tex]

[tex]\frac{1 +/- sqrt (265)}{2}[/tex]

17.279/2

8.639

Round = 9

~Lenvy~

Answer:

Step-by-step explanation:

Boys Girls

84 50

%decrease %decrease

-25% -16%

84=100% 50=100%

75% 84%

75/100×84 84/100×50

=63 =42

84+50=134

63+42=105

134-105=29

134=100%

29

29/134×100

21.6%

Answer:

0

Step-by-step explanation:

→ First find inverse cosine 1/2

60°

→ Now multiply this answer by 3 because then if you substitute it in you get 0.5

∝ = 180°

→ Now find sine of 180°

0

[tex] \Large{\boxed{\sf x = -15}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 9 - 3x = 54 [/tex]

[tex] \\ [/tex]

Subtract 9 from both sides:

[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]

[tex] \\ [/tex]

Divide each side by -3 :

[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

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Given the method given to calculate an outlier, the method does not identify 7.5 miles as an outlier.

An outlier is either very much larger or smaller than the rest of the data in the dataset.  In this dataset: 1, 2, 1000. 1000 is an outlier.

Outlier = 1.5 x interquartile range

Interquartile range = q3 - q1

1.5 x (3.8 - 2.6) = 1.8

To learn more about outliers, please check: https://brainly.com/question/27197311

Answer:

Your answer(s) is $1,706.67, $1,462.86, or $1,280

Step-by-step explanation:

This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.

I'll list all three explanations and you can choose one.

6 people: 1,706.67 (rounded to nearest cent)

128 ÷ 6 = 21.33333333

21.33333333 × 80 = 1,706.67

7 people: 1,462.86 (rounded to nearest cent)

128 ÷ 7 = 18.28571428571429

18.28571428571429 × 80 = 1,462.86

8 people:

128 ÷ 8 = 16

16 × 80 = 1,280

Answer: $5

Step-by-step explanation:

938-3 = 935

935/ 15 = $62 on each person with a balance of $5

Answer:

(-1,-4) ---> 77

Step-by-step explanation: