Given the following functions, find each of the values:
f(x) = x2 + x - 30
g(x) =x- 5
(f + g)(-5)
(f - g)(3) =
(f.g)(-3) =
(f/g) (1) =

Answer:

3.75 cm^2

Step-by-step explanation:

Area of a rectangle = Length x Width.

If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:

Area = 5 cm x 3/4 cm

Solving for Area we get:

Area = 3.75 cm^2.

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{ \boxed{ \sf{3.75 \: {cm}^{2} }}}}}}[/tex]

Step-by-step explanation:

Length ( l ) = 5 cm

Width ( w ) = 3/4 cm

To find : Area of a rectangle

Finding the area of a rectangle having length of 5 cm and width of 3/4 cm

[tex] \boxed{ \sf{area \: of \: rectangle = \: l \times w}}[/tex]

plug the values

[tex] \dashrightarrow{ \sf{5 \times \frac{3}{4} }}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator.

[tex] \dashrightarrow{ \sf{ \frac{5 \times 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{15}{4} }}[/tex]

Divide 15 by 4

[tex] \dashrightarrow{ \sf{3.75 \: {cm}^{2} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

2(x+16)

Step-by-step explanation:

it says product of 2 means 2 times

then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2

so the ans is 2(x+16)

Answer:

The time that elapses before the players collide is 4.59 secs

Step-by-step explanation:

The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.

We can write that

S₁ + S₂ = 41 m

Where S₁ is the distance covered by Player 1 before collision

and S₂ is the distance covered by Player 2 before collision

From one of the equations of kinematics for linear motion,

[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]

Where [tex]S[/tex] is distance

[tex]u[/tex] is the initial velocity

[tex]a[/tex] is acceleration

and [tex]t[/tex] is time

Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision

That is, t₁ = t₂ = t

Where t₁ is the time spent by player 1

and t₂ is the time spent by player 2

For player 1

[tex]S[/tex] = S₁

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 2.2 m/s²

Then,

S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]

S₁ = [tex]1.1t^{2}[/tex]

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

For player 2

[tex]S[/tex] = S₂

[tex]u[/tex] = 0 m/s ( The player starts at rest)

[tex]a[/tex] = 1.7 m/s²

Then,

S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]

S₂ = [tex]0.85t^{2}[/tex]

[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]

Since the time spent by both players is equal, We can  write that

[tex]t^{2}[/tex] = [tex]t^{2}[/tex]

Then,

[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]

[tex]0.85S_{1} = 1.1S_{2}[/tex]

From, S₁ + S₂ = 41 m

S₂ = 41  - S₁

Then,

[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]

[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]

[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]

This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.

[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]

[tex]t^{2} = \frac{23.13 }{1.1}[/tex]

[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]

Hence, the time that elapses before the players collide is 4.59 secs

Answer:

a)2/5

b)3/5

C) 1

Step-by-step explanation:

a-8/20=2/5

b-12/20-3/5

c-12+8=20/20=1

i am not that sure about c

hope this help

Answer:

The median number of shirts sold is 29

Step-by-step explanation:

Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.

27+31=58

58÷2=29

Answer:29

Step-by-step explanation:

First find the two middle numbers in this case 27 and 31 add them together and divide by 2

Answer:

Substitution Property

Step-by-step explanation:

The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.

Answer:

Substitution property

Step-by-step explanation:

Have a nice day!

Answer:

8

Step-by-step explanation:

Absolute value of 6 is 6. Absolute value of -2 is 2. 6+2 is 8.

Answer:

Step-by-step explanation:

[tex]\left|6\right|+\left|-2\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\\left|6\right|=6\\=6+\left|-2\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\\\left|-2\right|=2\\=6+2\\\\Simplify\\=8[/tex]

Answer:

-69

Step-by-step explanation:

Use rise over run (change in y/change in x)

The change in y is -345, since that is how much the price decreased

The change in x is 5 years

-345/5

= -69

So, the average rate of change in price per year is -69

Answer:

6

Step-by-step explanation:

thirteen minus seven equals six

Answer:

6

Step-by-step explanation:

13 minus 7 equals 6

hope this helped you

Answer:

QR= 13

Step-by-step explanation:

the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:

25-12=13

hope that helps. can i have brainliest?

Answer:

It depends on whether P lies on QR or not.

If not, we can't find the exact answer for this question.

If P does, there are 2 cases:

Case 1: P is between Q and R

so QR = PQ + PR = 12 + 25 = 37

Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)

so QR = PR - PQ = 25 - 12 = 13

Answer:

The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons

Step-by-step explanation:

The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons

The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades

The number of lemons Jordan uses altogether, is given by the following relation;

1 pitcher of lemonade = 3 lemons

4 pitcher of lemonades = 4 × 3 lemons = 12 lemons

Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.

Answer:

1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Switch x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

(x-1)/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:

[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+1[/tex]

Put f(x) = y

[tex]y = 2x + 1[/tex]

Interchange x and y

[tex]x = 2y+1[/tex]

Solve for y

[tex]x = 2y+1[/tex]

Subtracting 1 to both sides

[tex]x-1 = 2y[/tex]

Dividing both sides by 2

[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]

Put y = h(x)

[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]

I'll give you the answers but make sure you know how to do these.

1) -32

2) -11

3) 77

4) -23

5) -1.3

6) -19.32

7) -10.4

8) 1.408

9) -1/4

10) 9/5

11) -1/6

12) -2 2/3

Hope this helps

Answer:  -w

Step-by-step explanation:

21 – 8(w + 3) + 3 + 7 w

Answer:

6

Step-by-step explanation:

Step 1:

12 - 4 = x + 2

Step 2:

8 = x + 2

Step 3:

8 - 2 = x

Answer:

x = 6

Hope This Helps :)

Answer:

There is no value of x that will make this true

Step-by-step explanation:

x+4=x+8

Subtract x from each side

x-x+4=x-x+8

4 = 8

This is never true so there is no solution

o is the value of m i think

Answer:

$1.25 to park a car and $3.50 to park a truck

Step-by-step explanation:

Set up a system where c is the number of cars parked and t is the number of trucks:

3c + 2t = 10.75

7c + t = 12.25

Solve by elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

-14c - 2t = -24.5

Add them together and solve for c:

-11c = -13.75

c = 1.25

Then, plug in 1.25 as c in the equation to solve for t:

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7

t = 3.5

So, it costs $1.25 to park a car and it costs $3.50 to park a truck

Hi

2(3x-1) = 9(x-2)-7

6x-2 = 9x-18-7

6x-9x = 2-18-7

  -3x = -23

      x =  23/3

Answer:

C = -D - B

Step-by-step explanation:

Step 1: Write out equation

B + C = -D

Step 2: Subtract B on both sides

C = -D - B

Answer:

the answers c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Gabby's 35 boxes plus Ross's b amount of boxes equals the 69 boxes

Answer:

3

Step-by-step explanation:

When you multiply .3 by 10, you will end up with the answer of three. There are three more ounces in the jar.

Answer: Corresponding Angles

Step-by-step explanation:

When two lines are crossed by another line (The Transversal), the angles in matching corners are called Corresponding Angles.

Answer:

its 8 cm^3

Step-by-step explanation:

got it right edge 2020

Answer: the answer is 8

Step-by-step explanation:

Just did it and got it correct

Answer:

the consumer price index measures changes in the price level of a (weighted) average market basket of consumer goods and services.

Answer:

rational

Step-by-step explanation:

Answer:

the last answer number 3

Answer:

A

Step-by-step explanation:

b^2 = 400

b = 20.............