The idea of a rule that assigns outputs to inputs is very abstract. These rules often come in the
form of tables, but can also come in the form of equations, graphs, and ordered pairs.
Exercise #2: In the function below, the variable y is a function of the variable x:
y = x2 +10
Give the outputs for each of the following inputs. Show how you found your answers.
(a) x = 3
(b) x = -5
(c) x = 0
y = 5x - 3

Answer:

24/5

Step-by-step explanation:

khan <3

The 4th term of the geometric progression is a₄ = 24/5

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the GP be represented as A

Now , the value of A =  -3/5, 6/5, -12/5 ...

Let the first term of the GP be a = -3/5

Let the second term of the GP be ar = 6/5

Now , the common ratio of the GP = second term / first term

Substituting the values in the equation , we get

The common ratio r = ( 6/5 ) / ( -3/5 )

The common ratio r = -2

Now , the 4th term of the GP is a₄ = ar³

Substituting the values in the equation , we get

a₄ = ( -3/5 ) ( -2 )³

a₄ = ( -3/5 ) ( -8 _

a₄ = 24/5

Hence , the 4th term of the GP is 24/5

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Answer:

x = 10

Step-by-step explanation:

First look at the big overall triangle.

It has a right angle and another angle of 44; therefore the missing angle is (since the sum of angles inside a triangle is 180)

180 - 90 - 44 = missing angle

missing angle (top) = 46; now the angle of a straight line is 180 and they give you 56° which  has a supplementary angle of 180 - 56 = 124°.

Now we know that the triangle that include the x has angles 46° (missing top angle), and supplementary angle of 124°.  Therefore

x = 180 - 46 - 124

x = 10

Answer:

Option (2) 1.5

Step-by-step explanation:

Rule for the dilation of an image by a scale factor is,

Scale factor = [tex]\frac{\text{Radius of image circle A'}}{\text{Radius of pre-image A}}=\frac{r'}{r}[/tex]

                    = [tex]\frac{(2\pi) r'}{(2\pi) r}[/tex]

                    = [tex]\frac{\text{Circumference of image}}{\text{Circumference of pre-image}}[/tex]

                    = [tex]\frac{10.5}{7}[/tex]

                    = 1.5

Therefore, scale factor was used to create a circle A' = 1.5

Option (2) will be the correct option.

Answer:

Step-by-step explanation:

To give proper answer to this question, one has to understand the meaning of overdraft.

A bank overdraft is amount of credit that covers your transactions if your bank account balance drops below zero.

Mr Cameron balance before the transactions = $367

List of expenses

telephone bill $96.40

gas bill $203.20

Electricity bill $145.30

Total transaction expense:

$96.40+$203.20+$145.30 = $444.9

Overdraft = $367 - $444.9

= - $77.9

So Mr. Cameron has a debt of $77.9 on his account hence to clear the overdraft, he has to pay a minimum of

$77.9 into his bank account and this is also subjected to the bank's terms and conditions which could attract more charge.

Answer:

you have to fisrt solve the equation of the buttonm part the find the common number between 5 to 8

Answer: Terminating decimal

Step-by-step explanation:

change the fraction 58 into a decimal.

58=0.625 .

Answer:

150 markup. (should be percent but says not to put it)

Step-by-step explanation:

So I didn't know this but there's percentage increase calculators on google.

Answer:

18 is less than 34

16 ≤ 2x

x minus 13 multiplied by 5 is greater than or equal to 24

7> -15

Answer:

B) All Real Numbers greater than or equal to 0 and less than or equal to 9

Answer:

what? thats not a math problem

Step-by-step explanation:

Answer:

t=10

Step-by-step explanation:

3t + 15 = 45

3t = 30

t = 10

Answer:

t = 10

Step-by-step explanation:

if you want detailed explanation then ask in comments

follow me

Step 1 = the opposite of a sum is the sum of its opposites

Step 2= Subtraction as adding the opposite

Step 3=Any order, Any grouping

Step 4= Combine like terms

Step 5= Combine like terms

I would seek other's advice for these --^

All you need to do for the bottom one is multiply.

-4 times 3a

-4 x 3 = -12

-4 times 3a = -12a

-4 times -2b

-4 x -2 = 8

-x- = +

-4 x -2 b = 8b

-4 x 4c

-4 x 4 = -16

-4 x 4c = -16c

Answer: 7

Step-by-step explanation:

The initial value is the same as what value it is when the independent variable is 0. Looking at the chart, when the input is 0, the output is y.

Answer:

7

Step-by-step explanation:

The answer is 7 because it is the y- intercept of the table.

I hope this helps.

Answer:

The slope is answer D

Answer:   the  answer  would  be  16 kids   walk  to  school  (10  girls  and  6  boys)

Step-by-step explanation:

Answer:

1 minute to sail 17/306 = 1/18th of a nautical mile

234 minutes to sail 1/18 x 234 = 13 nautical miles.

Hope this helps :-)

Step-by-step explanation:

Answer:

15 nautical miles

Step-by-step explanation:

Set up a proportion: 340/17=300/x simplify the first one 20/1=300/x 20x=300 x=15 so 15 nautical miles

Please mark brainliest if correct Hope this helps :D

Answer:

Q1 d, Q2 c, Q3 d

Step-by-step explanation:

Q1

g(x)=-3x+1

g(x)=16 means that

-3x+1=16 subtract 1 from both sides

-3x=16-1 combine like terms and divide both sides by -3

x=-15/3=-5

Q2

g(x)=3x²+4x-1

g(2) means that x=2 so substitute

g(2)=3*2²+4*2-1=12+8-1=19

Q3

domain are the x values

range are the y values

Answer:

She can make 5 trips.

Step-by-step explanation:

Answer:

6x + 7

Step-by-step explanation:

2

Answer:

c

Step-by-step explanation:

(x-m) and the quotient. so it woild be x-m/8

Answer:

C. Scalene triangle

Step-by-step explanation:

A scalene has sides that aren't equal.

Answer:

can u plz put a picture

Step-by-step explanation:

Answer:

I think it’s D not sure tho

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

When x is 0, y is 1 and the y intercept is the y value when x is 0.

Answer:

Step-by-step explanation:

The y intercept always lies on the y axis on the graph, meaning x is 0. So your y intercept would be 1

Answer:

f(x)= -12

Step-by-step explanation:

Answer:

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2

Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting.

Hope this helps!

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Real number are used to denote the real values of quantities.

Hence, real numbers are used to solve problems.

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Since real numbers are quantities that can be expressed as infinite decimal expansion. These can be used to solve problems of size, weight measurements etc.

Real number are used to denote the real values of quantities.

Hence, real numbers are used to solve problems.

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Answer:

(1,-2)

(1,-6)

(3,-3)

Step-by-step explanation: