let f(x)=-x+3 Write a function g whose graph is a translation 3 units up from the graph of f.
g(x)=?

An absolute value inequality that represents all the distances you may be from your house is -14 ≤ x ≤ 14.

Inequality:

Basically, inequality is the relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given,

You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house.

Here we need to write an absolute value inequality that represents all the distances you may be from your house.

Consider your house is in the center.

So, both sides you have the Golf course.

So, it can be written as

-14 for north side one and 14 for the south side one.

And let x be the distance between the house and the golf course.

So, it can be written as the inequality,

=> -14 ≤ x ≤ 14.

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Answer: 297

Step-by-step explanation:

2a^2 - 2a - 15

sub a = 13

2 * 13^2 - 2 * 13 - 15

2 * 169 - 2 * 13 - 15

338 - 26 - 15

= 297

Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

Answer:

43

Step-by-step explanation:

The value of c is 25° and x is 116°.

From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c

This means that-

65 + c = 90

c = 90 - 65

c = 25

Thus, the value of c is 25°.

Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.

Both the angles thus formed are opposite interior angles and are hence supplementary.

Therefore, (x - 20) + 84 = 180

x - 20 = 180 - 84

x - 20 = 96

x = 96 + 20

x = 116

Thus, the value of x is 116°

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Answer:

m <B = 41°

Step-by-step explanation:

Fact: complementary angles measures add to 90 degrees

Given: m < A = 2x-19,  and m <B = x+7

Find: m <B = ?

Find x

2x-19 + x+7 = 90

2x+x = 90 +19-7

3x = 102

x = 34

Find m <B

m <B = x+7

m <B = 34+7

m <B = 41

Answer:

first order

Step-by-step explanation:

they're basically a linear function. to make it easier you could just put the coordinates on the side of the table.

The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.

Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.

Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.

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1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)

2) The solution to the given quadratic equation is; x = 5/6 or -2

1)  (2x - 3)² = 18

To fid the value of x, we can solve by first taking the square root of both sides to get;

√(2x - 3)² = ±√18

Add 3 to both sides using addition property of equality to get;

2x - 3 = ±3√2

2x = 3 ± 3√2

x = ¹/₂(3 ± 3√2)

2) 2(5x + 2)² = 64

To fid the value of x, we can solve by first  dividing both sides to get;

(5x + 2)² = 32

Take square root of both sides to get;

(5x + 2) = ±8

Subtract 2 from both sides using subtraction property of equality to get;

5x + 2 = ±8

5x = ±8 - 2

5x = 6 or 5x = -10

x = 5/6 or -2

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We have

28 = 2²•7

48 = 2⁴•3

and GCD(28, 42) = 2² = 4.

well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]

Answer:

B

Step-by-step explanation:

i'm pretty sure it's right but could be wrong

Answer:

Step-by-step explanation: Replace u with (3)

Multiply 5x3+3/2

Answer: 9

Step-by-step explanation:

remember, a variable is only a placeholder for an actual value.

so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.

6.

25/(r - 4) for r = 9

that means

25/(9 - 4) = 25/5 = 5

7.

(5u + 3)/2 for u = 3

that means

(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9

Answer:

horizontal shift 5 units left

Vertical shift 1 unit down

reflection on the x-axis: Reflected

Vertical stretch: stretched

Step-by-step explanation:

2  is the value of invar in the base workspace after executing.

What are variables?

What three categories of variables are there?

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.

invar = 1;

out1 = plusone(invar);

= 2

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The time it will take for the money in the bank to reach a total of 29500 dollars would be = 30 years.

To calculate the time for the interest compounded annually the formula below is used:

Simple interest = principal× time×rate/ 100

Simple interest = principal× time×rate/ 100Simple interest = total amount in the bank - principal amount

= 29500 - 10000

= $19,500

Principal = $10000

Rate = 6.5%

Time = ?

From the given formula, make t that subject of formula;

T = $19,500 ×100/$10000×6.5

T = 1950000/65000

T = 30 years.

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Answer: The solution to |14|-|-14| is 0

Answer:

The answer is 0

Step-by-step explanation:

absolute value of 14 and -14 is 14 and 14 minus 14 equals 0

Answer:

1/7

Step-by-step explanation:

You can just divide all the possible answers.

1/9 = 0.1111111 (1 repeating

1/7 = 0.142857142857

1/11 = 0.090909090909 (repeating)

1/14 = 0.0714285714286 (repeating)

Answer:

The value of the expression of x 3 and y 5. Substitute each x and y with these numbers in equation and which would you get a value? So 4x+6y

4(3)+6(5)=

12+30=42

B. 42 ♥️

Step-by-step explanation:

Answer: Original value: 0.076952

Value (with 3 decimal places): 0.077

Step-by-step explanation: hope this helps

After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.

Here,

Samuya is multiplying 0.7 by 0.003.

We have to find, zeros will be to the right of the decimal point in the product.

What is Product?

The product of two numbers is the result you get when you multiply them together.

Now,

Product of 0.7 and 0.003 we get;

0.7 x 0.003 = 0.0021

Clearly, there are two zero to the right of the decimal point in the product.

So, After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.

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Answer: kndkfnsjkfrjgkbgjb

Step-by-step explanation:

listen to koRn

The number of yards of fence it will take to enclose the square garden is 48 feet.

It is given in the question that a square garden has an area of 144 square feet.

We have to find the number of yards of fence it will take to enclose the garden.

Let the length of side of the square garden be x feet.

We know that,

Area of a square = [tex]side^2[/tex]

Hence,

According to the data given in the question, we can write,

144 = [tex]side^{2}[/tex]

We know that,

144 = [tex]12^2[/tex]

Hence,

[tex]12^2=side^2[/tex]

Hence,

Side = 12 feet

We know that,

Number of yards of fence it will take to enclose the  square garden = perimeter of the square garden.

Hence,

Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.

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99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

What is a normal distribution?

A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.

part of values below a certain threshold, a= (1-0.995)/2 = 0.0025

Mean,m  =20

Standard deviation,s = 3

 Z = (X – m) / s

   P(x<Z): 0.0025

P(x<Z) = 0.0025 can be determined for Z score.

according to the usual table, Z = -2.807

X = Zs+m

(-2.807 * 3) +20= 11.579

Lower limit = 11.579

Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.

P(x<Z): 0.9975

Z score for which P(x<Z) = 0.9975 can be found

from the normal table as, Z = 2.807

X = Zs+m

(2.807 * 3) +20= 28.421

Upper limit = 28.421

99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

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The value of the sales tax on the computer is 62 dollars and 93 cents.

Any number or a ratio which is expressed in terms of a fraction of 100 is known as a percentage.

Here, we are given that the price of a computer is 899 dollars.

The sales tax on the computer is 7%.

Thus, the value of the sales tax on the computer will be,

7% of 899

= 7/100 * 899

= 62.93

Thus, the sales tax on the computer comes out to be 62.93 dollars.

In 62.93 dollars, we can see that we have 62 complete dollars, plus 0.93 more dollars left.

0.93 dollars = 93 cents

Therefore, the sales tax on the computer is 62 dollars and 93 cents.

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Answer:

Step-by-step explanation:

Answer:

63,756 ft / 70 min

The spherical tank with a capacity of 750 gallons has a radius of 2.88ft.

Volume refers to the total amount of space an object occupies. It also determines the capacity of the object.

Given the fact that 1 gallon is about 0.1337 ft^3, and the spherical tank has a capacity of 750 gallons, then it's volume or capacity can be converted from gallons to ft^3 by multiplying 750 with 0.1337.

1 gallon = 0.1337 ft^3

750 gallons = 750(0.1337 ft^3)

750 gallons = 100.275 ft^3

To solve for the radius of the spherical tank, use the formula for the volume of sphere given by the formula:

V = 4/3πr^3

where V = 100.275 ft^3

100.275 ft^3 = 4/3πr^3

r^3 = 23.93889288 ft^3

r = 2.882048957ft

Rounding off to the nearest hundredth of a foot:

r = 2.88ft

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