If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer 1

Answer:

a is answer correct i think

Step-by-step explanation:


Related Questions

A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.

Answers

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31

Answers

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10

Answers

Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]

Multiply both sides by 2y:

[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]

Hope this helps!

i neeeeeeeeedd help filling in the blanks

Answers

A. $6
B. 3
C. 11,034
D. 70 mL

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Answers

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5

Answers

Answer:

see explanation

Step-by-step explanation:

To find k, calculate the ratio of corresponding sides, image to original, that is

k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]

Thus

QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is

x = 6 → C

Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.

Answers

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

would this be a? please explain, thanks!

Answers

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?

Answers

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?

Answers

Answer:

B I think

Step-by-step explanation:

Answer:

Dude, there is no option?

Step-by-step explanation:

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72

Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?

Answers

Answer:

1,242,000

Step-by-step explanation:

PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches

1. How many triangles can she make with them if each side is a different color? List the combinations that work.



2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?

Answers

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3, 4, 5 or ROY

3+5= 8 so possible 3 rd side is 7

3, 5, 7 or RYG

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3, 7, 9 or RGB

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4, 5, 7 or OYG

4+7= 11 so possible 3rd side is 9

4, 7, 9 or OGB

4+9= 13 so possible 3rd side is 12

4, 9, 12 or OBP

5+7= 12 so possible 3rd side is 9

5, 7, 9 or YGB

5+9= 14 so possible 3rd side is 12

5, 9, 12 or YBP

7+9= 16 so possible 3rd side is 12

7, 9, 12 or GBP

So the possible 9 combinations are:

RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving

Answers

Answer:

1 1/3 meter a minute

Step-by-step explanation:

it pretty simple i just added

Answer:

1 1/3

Step-by-step explanation:

PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.

Answers

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?

Answers

Answer:

24

Step-by-step explanation:

It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.

Answer: 24

Step-by-step explanation:

40/5=8

So 8hrs per pool, and there are  3 pools so 8*3=24min

Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.

Answers

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

How to determine the true statement?

From the figure, we have the following highlights

Corresponding angles are congruentCorresponding sides are congruent

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

Read more about rigid transformation at:

https://brainly.com/question/4057530

#SPJ5

HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!

Answers

Answer:

7

Step-by-step explanation:

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4

Answers

Answer:

38

Step-by-step explanation:

38 because

Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}

Answers

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?

Answers

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

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

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?​

Answers

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

What is the solution to this equation?

2x + 6 = 20

A. X = 13
B. X = 52
C. X = 28
D. X = 7

Answers

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Need so help. REally appreciate it

Answers

Answer:

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

Step-by-step explanation:

The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).

As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2.  Thus, the slope of the line is m = rise / run = 1/2.

Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as

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

What is the least common factor of 9 and 15? (Don’t say 45 please because that’s not the answer I’m looking for ;)

Answers

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

Which of these needs the denominator rationalized? -PLEASE HELP

Answers

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

Every integer is a whole number
Please select the best answer from the choices provided
T
F

Answers

Answer:

This is true.

What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?

Answers

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

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