Which statement about 2(x+4) is true

The equation of line p is y = ax + b then y = -2ax + b + 3 could be only the equation of line q out of the given options.

Therefore, the answer is C) y = -2ax + b + 3.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. So in case of line p, a is the slope and b is the y-intercept. Let equation of q by y = m'x + b'.

From the figure it is evident that line p has a positive slope while line q has a negative slope. So slope of q is negative of slope of line q multiplied by a positive constant, say c, then

m' = -2ac

From figure we can observe that y-intercept of p is 0 and q has a positive y-intercept, so

b' = b + k, k is a positive constant

So equation of q is y = -2acx + b + k, where c and k are positive constants. So only option C is of this format.

--The question is incomplete, answering to the question below--

"The equation of line p is y = ax + b. Which of these could be the equation of line q?

A. y = -2a(x + 3) + b

B. y = -2ax + b

C. y = -2ax + b + 3

D. y = -2ax + b - 3"

To know more on equations

https://brainly.com/question/12238261

#SPJ4

Answer:

800ml.

Step-by-step explanation:

If 1 litre = 1000 ml, then

\(\small\sf{\quad\dfrac{4}{5} \: of \: a \: litre}\)

\( : \implies\small\sf{\dfrac{4}{5} \: of \: 1000}\)

\( : \implies\small\sf{\dfrac{4}{5} \times 1000}\)

\( : \implies\small\sf{\dfrac{4 \times 1000}{2}}\)

\( : \implies\small\sf{\cancel{\dfrac{4000}{5}}}\)

\( : \implies\small{\sf{800 \: ml}}\)

∴ The answer is 800 ml.

Answer:

Step 1  1200/ i am pretty sure

Step-by-step explanation:

Hope it helpssss :DDD ;)

Answer:

A.)

Step-by-step explanation:

I got it right on the quiz.

The expression 42a + 14b when factored will give 14(3a + b)

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number.

considering the given problem, the expression 42a + 14b is factored as follows

= 42a + 14b

= 14 * 3 * a + 14 * b

applying distributive property of multiplication

= 14 (3 * a +  b )

= 14(3a + b)

factorizing the expression 42a + 14b gives 14(3a + b)

Learn more on factorizing at:

https://brainly.com/question/25829061
#SPJ1

Answer: I think its BC and DC I dont know But I hope this helps!

Step-by-step explanation:

Answer:

∠ACB ≅ ∠ACD

Step-by-step explanation:

The SAS Postulate tells us:

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

(Congruent = exactly the same)

(included angle is formed by the two known sides)

In this example we can see that 2 sides are congruent (by the dashes on the lines and the fact that both triangles share side AC), but we do not know if the included angles are congruent.

Therefore, we need to know if ∠ACB ≅ ∠ACD

Answer:

Step-by-step explanation:

SHORT ANSWER: perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

LONG ANSWER WITH STEP-BY STEP:

If one side of the square has a length of 10x, then all sides have a length of 10x. Alternatively, if one side has a length of 6x+8, then all sides have a length of 6x+8. Therefore, we can write:

perimeter = 4 * side length

Substituting in the given expressions for the side length, we get:

perimeter = 4 * (10x) = 40x

or

perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

Answer:

Step-by-step explanation:

Answer:

-20x9= -180.    2 to the power of three =8  if you want the quotient it would be -22.5

Step-by-step explanation:

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

Learn more about Division:

https://brainly.com/question/369266

#SPJ2

Answer:

d=4

Step-by-step explanation:

Answer:

it would be -1.3, -0.6, 0.7, 1.4

The ordered pair that represents the coordinates of the y-intercept for a function is: (0, 3).

If we graph a function, especially a linear function, the line of the function will normally intercept the y-axis. At this point, the x-coordinate is usually zero while the y-coordinate of the point is what we refer to as the y-intercept of the function.

Therefore, the coordinates of the y-intercept for a given function would be expressed as (0, b), where b is the y-coordinate of the point where the line intercepts the y-axis.

An ordered pair of (0, 3), means that the line intercepts the y-axis at y = 3, when x = 0.

Therefore, given the above ordered pairs, the coordinates that represents that of the y-intercept of a function is: (0, 3).

Learn more about the y-intercept on:

https://brainly.com/question/10700419

#SPJ1

Answer:

x = - \(\frac{1}{4}\) , x = \(\frac{9}{4}\)

Step-by-step explanation:

| 4x - 4 | - 8 = - 3 ( add 8 to both sides )

| 4x - 4 | = 5

the absolute value function always gives a positive value , however , the expression inside the bars can be positive or negative, then

4x - 4 = 5 or - (4x - 4) = 5 , have to be solved

4x - 4 = 5 ( add 4 to both sides )

4x = 9 ( divide both sides by 4 )

x = \(\frac{9}{4}\)

or

- (4x - 4) = 5

- 4x + 4 = 5 ( subtract 4 from both sides )

- 4x = 1 ( divide both sides by - 4 )

x = - \(\frac{1}{4}\)

As a check

substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \(\frac{1}{4}\)

| 4(- \(\frac{1}{4}\) ) - 4 | - 8 = | - 1 - 4 | - 8 = | - 5 | - 8 = 5 - 8 = - 3 = right side

x = \(\frac{9}{4}\)

| 4 (\(\frac{9}{4}\) ) - 4 | - 8 = | 9 - 4 | - 8 = | 5 | - 8 = 5 - 8 = - 3 = right side

then x = - \(\frac{1}{4}\) , x = \(\frac{9}{4}\) are the solutions

Answer

(0,50)

Step-by-step explanation:

Ben's net earnings after 5 years are $171,563.23, and Arthur's net earnings after 5 years are $163,534.49.

To calculate their net earnings, we first need to calculate their total earnings from their investments, and then subtract their initial investments.

For Ben:

Using the compound interest formula: A = P(1 + r/n)^(nt)

A = future value of the investment

P = initial principal (investment)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = number of years

A = 500,000(1 + 0.06/12)^(12 * 5)

A ≈ $671,563.23

Net earnings for Ben: $671,563.23 - $500,000 = $171,563.23

For Arthur:

A = 600,000(1 + 0.05/4)^(4 * 5)

A ≈ $763,534.49

Net earnings for Arthur: $763,534.49 - $600,000 = $163,534.49

Ben's net earnings after 5 years are $171,563.23, and Arthur's net earnings after 5 years are $163,534.49.

Read more about compound interest here:

https://brainly.com/question/24274034

#SPJ1

Ben invested $500,000 at an annual interest rate of 6%, compounded monthly, for 5 years. Arthur invested $600,000 at an annual interest rate of 5%, compounded quarterly, for 5 years. What are their net earnings after 5 years?

Answer:

120

Step-by-step explanation:

you add em all up then you find the answer choice

Answer:

AC= 3.2

Step-by-step explanation:

two trianglesare similar

so AC : BC = DF : EF

AC : 4 = 3:2.4

4×3.2 = AC×4

12.8=4×AC >>>> (÷4) both sides

3.2= AC

Answer: y>3

Step-by-step explanation:where the line crosses the y axis is your answer

Answer:

D

Step-by-step explanation:

Answer:

Domain: \(t \geq 0\)

Range: \(v \geq 550\)

Step-by-step explanation:

Given

\(v = 550 + 16.5t\)

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

\(t \geq 0\)

Solving for Range:

We solved domain to be \(t \geq 0\)

This implies that the minimum value of t is \(t = 0\) and the maximum is infinity

Substitute 0 for t in \(v = 550 + 16.5t\)

\(v = 550 + 16.5(0)\)

\(v = 550 + 0\)

\(v = 550\)

Hence;

The range is \(v \geq 550\)

Answer:-7

Step-by-step explanation:

24-8i=10-10i

24-10=-10i+8i

14=-2i

I=-7

Answer:

Step-by-step explanation:

The mean of the sampling distribution is still 810 grams, which is the same as the population mean. The standard deviation of the sampling distribution is 4 grams.

The mean of the sampling distribution for the average weight of a simple random sample can be considered an unbiased estimator of the population mean. In this case, since the population mean is 810 grams, the mean of the sampling distribution remains the same.

The standard deviation of the sampling distribution, on the other hand, is influenced by the sample size. The formula for the standard deviation of the sampling distribution of the sample mean is given by the population standard deviation divided by the square root of the sample size. In this case, the population standard deviation is 40 grams, and the sample size is 100. Therefore, the standard deviation of the sampling distribution is calculated as 40 grams divided by the square root of 100, which is 4 grams.

In summary, the mean of the sampling distribution for the average weight of simple random samples of 100 children born with ELBW is 810 grams, and the standard deviation is 4 grams.

Learn more about standard deviation here:

https://brainly.com/question/29115611

#SPJ11

Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

The problem statement as written does not have a solution.

Let the total number of incoming freshmen be \($n$\). When they are lined up in columns of 23, we know that \($n$\) is one less than a multiple of 23 since there are 22 people in the last column. Therefore, we can write:

\($$n=23 a-1$$\)

for some integer a Similarly, when they are lined up in columns of 21 , we know that n is two less than a multiple of 21 since there are 14 people in the last column. Therefore, we can write:

\($$n=21 b-2$$\)

for some integer b.

We want to solve for n. One approach is to use modular arithmetic. We can rewrite the first equation as:

\($$n+1 \equiv 0(\bmod 23)$$\)

which means that \($n+1$\) is a multiple of 23. Similarly, we can rewrite the second equation as:

\($n+2 \equiv 0(\bmod 21)$\)

which means that n+2 is a multiple of 21 .

We can use these congruences to eliminate n and solve for the unknown integers a and b. Subtracting the second congruence from the first, we get:

\($$n+1-(n+2) \equiv 0(\bmod 23)-(\bmod 21)$$\)

which simplifies to:

\($$-1 \equiv 2(\bmod 23)-(\bmod 21)$$\)

or equivalently:

\($$-1 \equiv 2(\bmod 2)$$\)

This is a contradiction, so there is no solution in integers. Therefore, something must be wrong with the problem statement.

One possibility is that there is a typo and the number of people in the last column of the lineup of 23 should be 21 instead of 22. In that case, we would have:

\($$n=23 a-2$$\)

and

\($$n=21 b-7$$\)

Using modular arithmetic as before, we get:

\($$n+2 \equiv 0(\bmod 23)$$\)

and

\($$n+7 \equiv 0(\bmod 21)$$\)

Subtracting the second congruence from the first, we get:

\($$n+2-(n+7) \equiv 0(\bmod 23)-(\bmod 21)$$\)

which simplifies to:

\($$-5 \equiv 2(\bmod 2)$$\)

This is another contradiction, so this possibility is also not valid.

Therefore, the problem statement as written does not have a solution.

To learn more about arithmetic visit:

https://brainly.com/question/11559160

#SPJ11

Answer:

24units

Step-by-step explanation:

Since the triangle CME is an equilateral triangle, hence all the sides are equal. This shows that BE =DM

Given that;

BE = 27 - 5x

DM= 5x - 3

On equating, we will have;

27-5x = 5x - 3

-5x-5x = -3-27

-10x = -30

x = 30/10

x = 3

Length of EC = 2BE

EC = 2(27-5x)

EC = 2(27-5(3))

EC = 2(27-15)

EC = 2(12)

EC = 24

Hence the length of a side is 24units

From the Triangle Congruence Theorems AAA, SSS, and HL are not Triangle Congruence Theorems.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The reflexive property of congruence says that the considered geometric quantity, whether it be the angle, line segment, shape, etc, is congruent to itself.

From the Triangle Congruence Theorems

AAA, SSS, and HL are not Triangle Congruence Theorems.

Learn more about triangles;

https://brainly.com/question/19258025

#SPJ2

Answer:

29 songs

Step-by-step explanation:

Multiply 35 by 5/6 to get the number of songs Nat's sister has.

35*5/6=175/6

Or 29 1/3

But you can't have 1/3 of a song so...

29 songs