simplify 3 • 3^2 + 8 divided by 2 - (4 + 3)

Answer:

8

Step-by-step explanation:

sqrt 58 =7.62   closer to 8 than 7

Here are the inequalities:

x ≥ 8

x < 3

x ≤ 3

x ≤ 8

x < 8

x ≥ 3

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

for example :

2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

Steps to interpret an inequality graph :

If the circle above the number is colored, the inequality sign to use is either ≥ or ≤.

If the circle above the number is not colored, the inequality sign to use is either < or >.

If the arrow is pointing to the left, the inequality sign would either be ≤. or <.

If the arrow is pointing to the right, the inequality sign would either be ≥ or >.

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Answer:

[tex](x-2)^2+(y+2)^2=14[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

Given equation:

[tex](x-7)^2+(y-7)^2=7[/tex]

Therefore:

Area of a circle

[tex]\sf A=\pi r^2[/tex]

where:

Therefore, the area of a circle with radius √7 is:

[tex]\implies \sf Area=\pi \left(\sqrt{7}\right)^2=7 \pi\:\:square\:units[/tex]

Therefore, a circle with twice the area would be:

[tex]\implies \sf Area = 2 \cdot 7 \pi = 14 \pi \:\: square\:units[/tex]

Therefore, its radius would be:

[tex]\begin{aligned}\implies \sf \pi r^2 & = \sf14 \pi\\\sf r^2 & = \sf 14\\\sf r & = \sf \sqrt{14}\end{aligned}[/tex]

So the equation of a circle with a center at (2, -2) and a radius of √14 is:

[tex]\implies (x-2)^2+(y-(-2))^2=\left(\sqrt{14}\right)^2[/tex]

[tex]\implies (x-2)^2+(y+2)^2=14[/tex]

Answer:

I believe the Answer is C.

Step-by-step explanation:

The monthly cost of 57 minutes calls is $12.55.

The monthly cost is $12.03 for 53 minutes and $ 13.59 for 65 minutes call

Therefore we have two points (53, 12.03) and ( 65, 13.59)

slope = (13.59 - 12.03)/ ( 65 - 53)

          = 1.56/ 12

          = 0.13

The intercept is

y = mx + c

12.03 = 0.13×53 + c

12.03 = 6.89 + c

c = 5.14

Equation:

cost = 0.13(minutes) + 5.14

       = 0.13×57 + 5.14

       = 7.41 + 5.14

       = 12.55

Therefore the monthly cost for 57 minutes is $12.55.

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Answer:

f(-3)= 9(-3)^2+3-2= 9(9)+3-2= 81+1 = 82

Answer:

There are no sampling errors, as all numbers add up to 100, however, there is a bias, as the highest number is 52 for movies, and the person who conducted the survey was a movie theater manager to his own customers.

She should buy  five sweaters.

A rational consumer would purchase a good as long as marginal benefit is equal or greater than marginal cost.

Marginal cost is the additional cost generated by producing an additional unit of output. Marginal benefit is the benefit derived from consuming one extra unit of a good.

The marginal benefit of the first five sweaters is greater than the marginal cost. Thus, she should buy  five sweaters.

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Function g(x) = 4x -13 after the graph is translated 1 unit right of the graph of f(x) = 4x - 9.

As given in the question,

Function f(x) = 4x -9

Graph g(x) get translated 1 unit right of the graph of function f(x)

It means change in the value of x  equals to x-1

g(x) = 4(x-1) -9

⇒ g(x) = 4x -4 -9

⇒ g(x) = 4x-13

Therefore, function g(x) = 4x -13 after the graph is translated 1 unit right of the graph of f(x) = 4x - 9.

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The percentage increase is 103.7%.

Answer:

103.7%

Step-by-step explanation:

Given the following question:

Original price = $1.35
New price = $2.75

Find the percent change. To find the percent change we will use the formula to calculate the percent change of course rounding if needed.

[tex]\frac{np\times op}{op} \times100[/tex]
[tex]\frac{2.75\times1.35}{1.35} \times100[/tex]
[tex]2.75 - 1.35\div1.35\times 100% =[/tex]
[tex]=103.7037037037[/tex]

Round to the nearest tenth:
[tex]103.7037037037[/tex]
[tex]0 < 5[/tex]
[tex]103.7[/tex]

1.35 to 2.75 is a "103.7%" increase.

Hope this helps.

The total number of gumballs in the jar calculated using probability is about 181.

Probability is the study of chance. The likelihood of an event to occur given as a fraction is probability.

For a sure event the probability is 1 and for an impossible event the probability is 0.

Carlos draws a sample of 55 gumballs. Out of which the number of green gumballs is 44.

Probability of a green gumball= number of green gumballs ÷ total number of gumballs

P(green) = 44 ÷ 55 = 4/5

Now in the sample the number of green gumballs is 4/5 , and in the jar the number of green gumballs is 145 .

Let us consider there are x gumballs in total in the jar.

P(green)=145 ÷ x

We know that P(green)= 4/5

∴4/5 = 145 ÷ x

or, x = 145 × 5 ÷ 4

or, x = 181.25 gumballs.

or, x ≈ 181 gumballs(As the number of gumballs cannot be a fraction)

Therefore there are about 181 gumballs in total .

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By inspecting the denominator, the values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

A rational equation is an expression of the P(x) / Q(x), where P(x) and Q(x) are the equations of the numerator and the denominator functions. The rational equation becomes undefined for all x-values such that Q(x) = 0. Then, we must look up for all values of x such that:

x² + x - 6 = 0

x² + [3 + (- 2)] · x - 6 = 0

x² - 2 · x + 3 · x - 6 = 0

x · (x - 2) + 3 · (x - 2) = 0

(x + 3) · (x - 2) = 0

x₁ = - 3 ∨ x₂ = 2

The values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

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Answer:

C

Step-by-step explanation:

0.5 of a mile in 20 minutes

60/20=3

0.5*3=1.5

Correct answer is C

Answer:

6.6 is the answer

Step-by-step explanation:

Hope it helps you

Answer: 124 degrees

Step-by-step explanation:

JKL=YKL+JKY

10x+14=6x-6+64

10x+14=6x+58

4x+14=58

4x=44

x=11

JKL=10x+14

JKL=10(11)+14

JKL=110+14

JKL=124 degrees

Answer:

The answer is c because if you multiply 3/5 and 3/10 by doing butterfligt

Jess had a faster speed of 8 miles/hour

Given:

3 miles in 2/5 hour

4/5 miles in 1/10 hour

To find the quotient, we must switch to the inverse approach,

where 2/5 becomes 5/2 and 1/10 becomes 10/1.

For Eli:

A distance of 3 miles is covered in 2/5 of an hour.

3 miles equals 2/5*1

3 miles equals 2/5 hour

The inverse amount is multiplied as

3*5/2 miles = 1 hour.

7.5 miles

Eli moves at a 7.5 mph speed.

For Jess:

1/10 of a mile is covered in 4/5miles.

1/10 * 1 hour times 4/5 miles

1/10 hour equals 4/5 miles.

The inverse number is multiplied as follows: 4/5 * 10/1 = 1 hour.

40 miles at a speed of 5 miles per hour.

1 hour Equals 8 miles

Jess's speed is 8 miles per hour.

Hence, Jess had a faster speed of 8 miles per hour

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Answer:

x= 7/ y+6

​

Step-by-step explanation:

Add y to both sides.

7x=6+y

The equation is in standard form.

7x=y+6

Divide both sides by 7.

7

7x = 7/y+6

​Dividing by 7 undoes the multiplication by 7.

Step-by-step explanation:

that's what I think it isx=7/y+6

Answer:

C. 63/2

Step-by-step explanation:

[tex] \frac{9}{4} \times 14 \\ = \frac{9}{4} \times \frac{14}{1} \\ = \frac{9 \times 7}{2} = \frac{63}{2} \\ please \: if \: found \: helpful \: rate \: brainliest.[/tex]

The answer is 63/2

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not fake

The length of the line segment EF is 106.

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-11 is the answer to this question

Answer:-11

Step-by-step explanation:

-15 + 4 = -11

Answer:

x=21

Step-by-step explanation:

21*2+25*2=92

Answer:

x < 23

Explanation:

perimeter of a rectangle = 2(length + width)

Here given:

Setting equation:

[tex]\sf \rightarrow 2(x + 4 + x) < 100[/tex]

[tex]\sf \rightarrow 2(2x + 4) < 100[/tex]

[tex]\sf \rightarrow 4x + 8 < 100[/tex]

[tex]\rightarrow \sf 4x < 100 - 8[/tex]

[tex]\sf \rightarrow4x < 92[/tex]

[tex]\sf \rightarrow x < 23[/tex]

Answer:

2^2 × 3 × 5

Step-by-step explanation:

hope this works :)

Answer:

x = { 5; 6; 7}

Step-by-step explanation:

25 ≤ 25 < 36 < 49 < 50

=> x² = {25; 36; 49}

Because x€N => x = {5; 6; 7}

Answer: 21 degrees

Step-by-step explanation:

Since (2x + 9) + 129 = 180, we can get that 2x = 42 and x = 21. Hope this helped!

Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we consider that:

Hence the cost functions for Kiara and Donovon are given, respectively, by:

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

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In linear equation , 240 liters of 90% solutions will be used.

What are a definition and an example of a linear equation?

Let x be the quantity of 75% antifreeze solution and y be the quantity of 90% antifreeze solution,

Since, the total quantity of the mixture = 360,

⇒ x + y = 360 ----- (1),

Also, the resultant solution is of  85% antifreeze solution,

⇒ 75 % of x + 90% of y = 85% of 360

0.75x + 0.90y = 0.85 × 360

0.75x + 0.90y = 306

75x + 90y = 30600 -----(2),

Equation (2) - 75 × equation (1),

We get,

15y = 3600

⇒ y = 240

Hence, 240 liters of 90% solutions will be used.

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