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4 years ago

Translate into an algebraic expressions: 120 is increased by d % and increased by 25% . What is the result ?

Mathematics

2 answers:

swat324 years ago

8 0

Answer:

The algebraic equations are: 120 + 120 × d% = 120 + x and 120 + 120 × 25% = 150

Step-by-step explanation:

The given number is 120 that is first increased by d% and then increased by 25%. So there is two algebraic equation, in the first equation the given amount 120 will be increased by d% and in the second algebraic equation, the given amount 120 will be increased by 25 percent.

Let the amount by which the 120 is increased = “x” in the case of the first equation.

120 + 120 × d% = 120 + x

Second algebraic equation.

120 + 120 × 25% = 150

Katen [24]4 years ago

6 0

Answer:

1.5d+150

Step-by-step explanation:

125 ( 1 + 0.01d)

its 125 since it increased by 25%. put 125 into the parenthasees and theres your answer.

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scoray [572]

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer: 4</h3>

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Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

<h3>Answer: 6</h3>

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Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

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<h3>Answer: 5</h3>

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Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 graph of two lines that intersect at the point

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The system of equations has one solution (-1, 1)

<h3>Graph of system of linear equations </h3>

From the question, we are to graph the given system of equations.

The given system of equation is

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The graph of the given system of equations is shown below.

From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).

Hence, the system of equations has one solution (-1, 1)

Learn more on Graph of linear equations here: brainly.com/question/14323743

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