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2 years ago

Solve for y. 3(3y - 6) = 18

Mathematics

1 answer:

AveGali [126]2 years ago

5 0

Answer:

y=4

Step-by-step explanation:

first you that the number outside of the parenthesis and multiply it by the numbers inside 3x3y (ignore the y for right now) and 6x3 now we have 9y-18=18 now we move the 18 so the y is by itself now we have 9y=36 divide both by 9 and you get your answer y=4

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Claire made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Claire doesn

aleksklad [387]

We can make and use the equation: A = 160( 1.03 )^y: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)

A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74

B) 160 * 1.03⁵ = 185.48385 ≈ $185.48

The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.

C) 160(1.03)³⁰

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3 years ago

A moving truck states that it holds 300 cubic ft of boxes. The truck is 25 ft in length and 8 ft in height. What is the width of

Kay [80]

Answer: 100

Step-by-step explanation: 300-(25x8)=

300-200= 100

5 0

3 years ago

On a coordinate plane, rectangle 1 has points (1, negative 2), (4, negative 2), (4, negative 3), (1, negative 3). Rectangle 2 ha

Sophie [7]

Rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.

<h3>How to determine the degree of rotation?</h3>

The given parameters are:

Rectangle 1

(1, -2), (4,-2), (4,-3) and (1, -3)

Rectangle 2

(-3, -1), (-2,-1), (-2, -4,) and (-3, -4)

By comparing the coordinates, we can see that the rule of transformation is:

(x,y) ⇒ (y,-x)

The above rule represents a 90° clockwise rotation

Hence, rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.

Read more about rotation at:

brainly.com/question/4289712

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6 0

1 year ago

The graph of f(x) =(square root of "x") is reflected across the x-axis and then across the y-axis to create the graph of functio

vesna_86 [32]

Analysis:

1) The graph of function f(x) = √x is on the first quadrant, because the domain is x ≥ 0 and the range is y ≥ 0

2) The first transformation, i.e. the reflection of f(x) over the x axis, leaves the function on the fourth quadrant, because the new image is y = - √x.

3) The second transformation, i.e. the reflection of y = - √x over the y-axis, leaves the function on the third quadrant, because the final image is - √(-x). This is, g(x) = - √(-x).

From that you have, for g(x):

* Domain: negative x-axis ( -x ≥ 0 => x ≤ 0)

* Range: negative y-axis ( - √(-x) ≤ 0 or y ≤ 0).

Answers:

Now let's examine the statements:

A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0

B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0

C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.

D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.

E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.

F)The range of g(x) is all values less than or equal to 0. TRUE: it was proved above.

4 0

3 years ago

Read 2 more answers

Evaluate |3x-2y|+5 if x=-3 and y=2 Answers: -8 -2 18 -13

Semmy [17]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

|Absolute Value| makes any negative number positive

Step-by-step explanation:

Step 1: Define

|3x - 2y| + 5

x = -3

y = 2

Step 2: Evaluate

Substitute: |3(-3) - 2(2)| + 5
Multiply: |-9 - 4| + 5
Subtract: |-13| + 5
Evaluate: 13 + 5
Add: 18

6 0

2 years ago

Read 2 more answers