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Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3

Answer: 98

Step-by-step explanation:

Formula to find sample size if population standard deviation is known:

[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.

Given: [tex]\sigma=30,\ \ \ E=10[/tex]

Critical z-value for 90% confidence = 1.645

[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]

Required minimum sample size = 98

Answer:

x=7/3

Step-by-step explanation:

AB/XY=BC/YZ

The length of {x} is equivalent to 7/3 units.

Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].

Given is that ABC is similar to XYZ.

Since, the two triangles are similar, than their corresponding sides will be proportional to each other. This means that the ratio of corresponding sides will be equal. Mathematically -

BC/YZ = AB/XY = AC/YZ = K [scale factor]

We can write -

8/(2[tex]\frac{2}{3}[/tex]) = 7/x

8/(8/3) = 7/x

8 x 3/8 = 7/x

3 = 7/x

x = 7/3

Therefore, the length of {x} is equivalent to 7/3 units.

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ2

Answer:

the answer is  [tex]T=\frac{VP}{8}[/tex]

Step-by-step explanation:

V=[tex]\frac{8T}{P}[/tex]

you need to make T the subject of the formula:

step1: multiply P for both sides.

V=[tex]\frac{8T}{P}[/tex]

VP=8T

step2: divide by 8 for both sides.

T=[tex]\frac{VP}{8}[/tex]

the answer is  [tex]T=\frac{VP}{8}[/tex]

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

Answer:

x = -3/8

Step-by-step explanation:

Answer:

he should buy 3 gallons

Step-by-step explanation:

There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 ppl, multiply 24 by 2 to get the number of cups.

24 x 2 = 48.

Then, divide that by 16 (the number of cups in a gallon) to t how many gallons.

48 ÷ 16 = 3

so, he needs 3 gallons

hope this helped!  

Answer:

just divide the numerator by the denominator

Step-by-step explanation:

an example is ⅔ as a decimal is about .666 or .7

Answer:

Slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Let's take two points on the line graphed for a function.

Slope of this linear function = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Between two points chosen,

Rise = Vertical distance on y-axis (Increase or decrease) from one point to the second

Run = Horizontal distance on x-axis from one point to second

Let the points on the graph are (-8, 0) and (0, 4).

Rise = 4

Run = 8

Therefore, slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{4}{8}[/tex]

Slope = [tex]\frac{1}{2}[/tex]

Answer:

$1,815

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the values we know:

I = prt

I = (1,500)(0.07)(3)

I = 315

Add this to the original amount:

1500 + 315

= 1,815

So, John will have $1,815 in his account after 3 years.

Answer:

The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:

       ________

x+2√x2 -2x -3             how many times does x go into x2  , x times

       x - 4 ______

x+2√x2  - 2x -3            multiply x by x + 2 and create the next row

     -(x2 )

          -4x - 3             bring down the -3 and repeat first step. how many times does x go into -4x, -4 times

        -(-4x - 8)            multiply x + 2 by -4

                   5             (this is the remainder but it must be in the form 5/(x+2)

so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".

Step-by-step explanation:

Copied this from wyzant.com.  

Answer:

x+6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

x+6

Answer:

0.0520833333 is the answer

Answer:

0.05208333333 (reoccurring)

Step-by-step explanation:

Simple bus stop division (:

Answer:

138 and 210?

Step-by-step explanation:

The answer is C. 3/2

Answer:

The first one

Answer:

Option (B)

Step-by-step explanation:

Relation between two numbers 3259 and 2,

3259 → 3 × 2 + 5 - 9 = 2

Now we will check the relation in the given options,

Option (A).

5789 → 5 × 7 + 8 - 9 = 34

Option (B).

3174 → 3 × 1 + 7 - 4 = 6

Option (C).

2749 → 2 × 7 + 4 - 9 = 9

Option (D).

9047 → 9 × 0 + 4 - 7 = -3

Therefore, Option (B) shows the same relation.

Hello i need help with that too

Answer: g (x)=(x -2)(3x +3)

lesser x = -1

greater x = 2

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.

Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.

40 + 3x + 4 + 8x + 4 = 180

You would now add like terms.

11x + 48 = 180

You would now subtract 48 from both sides.

11x = 132

You would now divide both sides by 11.

x = 12

You would now plug x into m<RST, 3x + 4.

3(12) + 4 = m<RST

36 + 4 = m<RST

40 = m<RST

Answer:

y=1/4x+3

Step-by-step explanation:

Answer:

NOT a relation and NOT a function

Answer:

need the graph, but go to desmos for answer to graphing questions

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7

Answer:

1.  B

2. D

3. B

4. D

5. C

6. A

7. What is the estimated sum of "?" what are we estimating?

8. C

9. C

10. B

Step-by-step explanation:

1st question

1/4 ≤ 8/19 ≤ 3/4, so round it to 1/2.

1/4 ≤ 6/13 ≤ 3/4, so round it to 1/2.

Estimating:

1/2 + 1/2 = 1

2nd question

220 9/11 divided by 6 19/20 = 2.99542184434

Rounded/estimated = 3

3rd Question

Estimate 8 1/8 (common sense)

8 1/8 = 8.

4th Question

Assuming cups = 2.

2x24 = 48.

5th Question

3

6th Question

Add and estimate

7th question

What is the estimated sum of "?" what are we estimating?

8th question

6/7 > 3/4, so round it to 1.

1/4 ≤ 4/7 ≤ 3/4, so round it to 1/2.

Estimating:

1 + 1/2 = 1  1/2

9th Question

Round 7 to 8. It is over half, so it would be 8, which = 1

10th Question

Half of 20 = 10, 9 isn't above 10.

So round backwards to 24.

Answer:

A)4

72

1

22

3

36

33

3

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since we are estimating. We know that it is about 5 units on top and about 6 units on the side. Therefore, you would multiply them

5*6=30

That is why the area of this irregular shape is 30 units.

Answer:

I believe the answer is two

Step-by-step explanation:

19 divided by eight equasl two