Find m S
12x +4
G
40°
F
E
D
4x

(f + g)(x) is another way of writing f(x) + g(x).

Given that

(f + g)(x) = 10x + 7

f(x) = 6x + 2

it follows that

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

g(x) = (10x + 7) - (6x + 2)

g(x) = 4x + 5

g(x) be n

Now

Interchange x

Option D

Answer:

COUNT HOW MANY THERE ARE

Step-by-step explanation:

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Answer:

See attachment

Step-by-step explanation:

See attached image.

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

Answer:

46.24 mm²

Step-by-step explanation:

Given:

s = 6.8 mm

To find the area of the square, simply square the measure of the side length.

⇒ Area of polygon = s²

Substitute the measure of the side length:

⇒ Area of polygon = (6.8)²                                                              [s = 6.8 mm]

Simplify the area:

⇒ Area of polygon = (6.8)(6.8)

⇒ Area of polygon = 46.24 mm²

Answer:

46.24mm.²

Step-by-step explanation:

Multiplying base by height:

6.8 times 6.8 = 46.24mm.²

Or doing 6.8² (same thing)

Since this is a square you can do 6.8 squared.

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

with m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

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Answer:✨Samantha✨

Step-by-step explanation:

Answer:

9/12 or 3/4

Step-by-step explanation:

1/6 = 2/12

2/12 + 1/12 = 3/12

12/12 - 3/12 = 9/12

9/12 simplified is 3/4

Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

Answer:

190 cm^2

Step-by-step explanation:

Top and Bottom = 2(3*10)=60cm

Sides = 2(5*10)=100

Front and Back =2(3*5)=30

total = 190

Answer:

mew

Step-by-step explanation:

The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.

Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.

Then we have

[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]

So, the rate is 2.8 hours per minute.

Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be

→22 minutes × 2.8 hours/minute = 61.6 hours.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Answer: B: milk jug

Step-by-step explanation:

A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

Answer:

A

Step-by-step explanation:

I got it correct on study island.

Answer:

24

Step-by-step explanation:

Perimeter of a shape = sum of all lengths of sides

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the rectangle:

⇒ Perimeter = (2 × 4) + (2 × 8)

                     = 8 + 16

                     = 24

Answer:

I think the answer is C

Step-by-step explanation:

Answer:

This is positive

Step-by-step explanation:

A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.

Answer:

This one will be postive

Step-by-step explanation:

–49 − –78 is positve 29

It comes out to a positive because you are subtracting by a negative.

Hope that helps!

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

Answer:

4/15

Step-by-step explanation:

Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.

We have to find the probability P(factor of 10)

The factors of 10 are 1, 2, 5, and 10.

Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).

Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:

P(factor of 10) = 4/15

Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

g(1) = 1

Step-by-step explanation:

we use the last equation since it can be used when x is not -2 or -1

if we plug in 1 in the equation the answer will be 1

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{20}{14}[/tex]

[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]

Hope this helps

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

Answer:

14 mph

Step-by-step explanation:

Speed of boat in calm water = x

Speed of current = y

Speed of boat with the current = 72 mi / 4 hr = 18 mph

Speed of boat against current = 40 mi / 4 hr = 10 mph

x + y = 18

x - y = 10

2x = 28

x = 14

Answer: 14 mph

Answer:

14 m/hr

Step-by-step explanation:

72 m / 4 hr = 18 m/hr

40 m / 4 hr = 10 m/hr

still water speed =  (18+ 10 )/2 = 14 m/hr

 current speed   (14 -x) 4 = 40

                       x = current speed = 4 m/hr

Answer:

$5.75

Step-by-step explanation:

Find the difference between the weeks as this will give you the difference hence the amount deposited each week

0->1

is 12.00->17.75

diffrence is $5.75

1->2

is 17.75->23.50

diffrence is  $5.75

the amount saved each week is $5.75

Answer:

12. Octagon, Regular

13. Triangle, Regular

14. Rectangle, Irregular

15. Pentagon, Irregular

Step-by-step explanation:

Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.

Answer:

20

Step-by-step explanation:

Given:

Substitute the value of x into the expression:

⇒ 3x + 4x - 15

⇒ 3(5) + 4(5) - 15

Simplify the expression:

⇒ 15 + 20 - 15

⇒ 15 + 5

⇒ 20 (Option A)

Answer:

A. 20

given function:

put x = 5

simplify

answer