If Audrey wanted to solve this equation using the square root method, which answer shows the correct sequence of steps?

x2 + 5 = 41

a. Take the square root of both sides
b. Subtract 41 from both sides, then square root both sides.
c. Subtract 5 from both sides, then square root both sides.
d. Add 5 to both sides, then square root both sides

Answer:

-26

Step-by-step explanation:

The answer is -26 because 6 multiplied by -5 is -30 and -30 plus 4 equals -26

I know this is late. I just saw this now! You may have already answered the problem, but I wanted to put it up here, maybe for other people like me to see :D

I realize this is long, so if you just wat the answer, and don't need the reasoning, the correct answer is E.

Ok, let's do this!

I was doing the same problem, and figured out that the answer is E by eliminating the answers one by one. Probably not the most efficient way, but hey! I got the answer!

So the first one I looked at was A. But I was able to eliminate that one because of the first piece of info that it gives us: \(-2\leq x\leq 1\) This is not true, because the algebra says that x can equal 1 as well as be larger, but the graph only has an empty circle, so it does not match up.

The second one, B, got eliminated from the information x+y=1. Yes, that is true sometimes, but not all the time! where the line intersects at x=-1, y=0, x+y=-1, not 1. So that one is out as well.

The third one, C, is, yet again not the answer. We can figure that out by the first piece of information they give us: y=1+x. That may seem like it is true, but if you look close, you can see a couple places where that does not work. One of those is when x=-1/2, and y=3/4. This is not true because if you plug in the numbers, 3/4 does not equal 1+(-1/2).

The fourth one, D, is yet again, not the answer, beacuse the last piece of information they give us is false!  \(x\geq -2\) is true for a bit, but only until it reaches 1. Then, x can't be 3,4,5, on and on and on.

So that means E has to be the right answer. In fact, both pieces of information they give relate to the graph. So E is the correct answer

I hope this helped!

Answer:

Option (A).

Step-by-step explanation:

We choose a point from table of f(x), that is (-2, -31)

1). If this point is reflected across x-axis, rule to be followed,

(x, y) → (x, -y)

That means y coordinate of the point gets changed with opposite notation.

If (-2, -31) is reflected over the x-axis,

(-2, -31) → (-2, 31) ----------(1)

2). When a point is reflected over the y-axis,

Rule to be followed,

(x, y) → (-x, y)

(-2, -31) → (2, -31) ----------(2)

3). When a point is reflected over the line y = x

Rule to be followed,

(x, y) → (y, x)

(-2, -31) → (-31, -2) -----------(3)

By comparing f(x) and g(x) we find the relation between the functions as,

f(-2, -31) → g(2, -31)

Rule between the functions f and g matches with the rule number (2).

Therefore, function 'f' has been reflected across y axis to get the function 'g'.

Option (A) will be the answer.

Answer:

10610

Step-by-step explanation:

Given,

T=6years

R=3.2%

A=86125

Now,

CA=P[1+R/10]^T

or,P=86125/[1+3.2/10]^6

=86125/5.29

=10610

Answer:

g(x)=f(x-2)=3(x-2)+4=3x-2

The meaning of w' (30) in terms of wind chill is that the wind chill is decreasing at a rate of 59.5°F/mph when W = 30

For instance, if the air is 20 degrees and the wind is blowing at 25 mph, you may calculate the wind-chill temperature as 2.5 degrees by dividing 20 by\((25 * 0.7)\). According to National Weather Service figures, the real wind-chill temperature is 3 degrees.

\(W(v) = 60.6 - 18.6420.16\)

\(W' (v) = 18.620 (0.16) V 0.16-1\)

\(W' (v) = -2.9792 V^-0.84\)

\(W' (30) = -2.9792 (20)^-0.84\)

\(W' (30) = -59.584\)

It means that the wind chill is decreasing at a rate of 59.5° F/mph when W = 30

Thus, with W = 30, it signifies that the wind chill is dissipating at a rate of 59.5° F/mph.

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Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

At compound interest, the amount in the account will be:

Principal, P=$3,300

Interest rate = 3¾% =0.0375

Time = 1 month

Therefore, the amount in her account after a month will be:

• Her new balance =$3310.31

The amount of interest earned in 1 month = $3310.31 -3300 =$10.31

Answer:

19.4 liters

Step-by-step explanation:

You get 19.4 by multiplying 9.7 by 2 which = 19.4

Answer:

19.4

Step-by-step explanation:

The reason is because If one fish tank holds 9.7 liters. Then you will need to double that to get how many 2 liters is.

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes

B . The motorboat travel at 1 hr 40 minutes

A group of campers and one group leader left a campsite in a canoe.

They traveled at an average rate of 10 km/h.

1st Group DATA:

rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs

Two hours later, the other group leader left the campsite in a motorboat.

He traveled at an average rate of 22 km/h.

Group Leader DATA:

rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs

A. How long after the canoe left the campsite did the motorboat catch up with it?

Group time - Leader time = 2 hr

x/10 - x/22 = 2

Multiply thru by 110 to get:

11x - 5x = 220

6x = 220

x = 110/3 = km

canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes

B. How long did the motorboat travel?

motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes

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Considering the given discrete probability distribution, the probability of a randomly selected purchase having at most three tickets is P(X ≤ 3) = 0.92.

From the table, the distribution for the number of tickets bought in the purchase is given by:

The probability of a randomly selected purchase having at most three tickets is:

P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.55 + 0.20 = 0.92.

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Answer:

it's 13x+30

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

-9x/2 + 15/2

Step-by-step explanation:

(15-9x)* 1/2

15(1/2)-9x 1/2

15/2 -9x *1/2

15/2-9x/2

-9x/2 + 15/2

Answer:

21/2 ( SEE IMAGE BELOW)

Step-by-step explanation:

Calculate the product

15- 9/2

Calculate the Differnce

21/2

so the answer is 21/2

Answer:

1/4

Step-by-step explanation:

Slope formula =

\( \frac{y2 - y1}{x2 - x1 \\ } \)Therefore, by choosing any 2 points

(-4,0) as 1 and (0,1) as 2

It will be

\( \frac{1 - 0}{0 - - 4} = \frac{1}{4} \)

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Answer:

Step-by-step explanation:

280%, 2.8, 2 4/5

2 4/5 =2.8

Answer:

x = -1

y = 4

Step-by-step explanation:

Why are there so many ''' in your question? Do they have any signifigance?

The value of \(x\) of the system of equations will be  \(-1\).

System of equations is a finite set of equations for which common solutions are sought.

We have,

\(4x + 3y = 8\)    

\(4x-3y = -16\)

So,

Using the linear combination method,

i.e. adding the given equations,

\(4x + 3y = 8\)    

\(4x-3y = -16\)

We get,

\(8x=-8\)

⇒

\(x=-1\)

So, value of \(x\) is \(-1\) .

Hence, we can say that the value of \(x\) of the system of equations will be  \(-1\).

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

14

Step-by-step explanation:

If you do 42/3 you get 14. Which to check your answer you can do 14 x 3 and you would get 42. Hope this helps.

The answer is 14.

I am answering dis for you to give da other person brainliest!

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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The large jar has better value for money than the smaller one.

To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.

For the first jar we have:

q = £4.10/540 = 0.0075

For the second jar we have:

q' = £2.81/360 = 0.0078

Then we can see that the large jar has the best value for money.

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Answer:

-9 1/4

Step-by-step explanation:

Answer:

-37/4 or 9 1/4

Step-by-step explanation:

-5 3/4 - 3 1/2

-23/4 - 7/2

-23/4 - 14/4

-37/4

Best of Luck!

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer:

D) 239

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.005 = 0.995\), so \(z = 2.575\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Required sample size:

Is n

n is found when \(M = 6\)

We have that \(\sigma = 36\)

So

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(6 = 2.575*\frac{36}{\sqrt{n}}\)

\(6\sqrt{n} = 36*2.575\)

Simplifying by 6

\(\sqrt{n} = 6*2.575\)

\((\sqrt{n})^{2} = (6*2.575)^{2}\)

\(n = 238.7\)

We round up, and the answer is 239.

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.