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polet [3.4K]
3 years ago
11

With a rate of change = 0.10 & an initial value = 10, how would you represent this as a linear equation?

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0

Answer:

y = .10x +10

Step-by-step explanation:

If the equation is linear, we can write it in the form y=mx+b where m is the slope and b is the y intercept

The y intercept is where we start, or the initial value

The slope is also call the rate of change

y = .10x +10

andrew11 [14]3 years ago
4 0

Answer:

First one

Step-by-step explanation:

rate of change = 0.10

Means

The slope = 0.10

m = 0.10

An initial value = 10

Means

y-intercept = 10

b = 10

y = mx + b

y = 0.10x + 10

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X/5-2=x/2+3 solve for x
Makovka662 [10]
Solve for x:x/5 - 2 = x/2 + 3
Put each term in x/5 - 2 over the common denominator 5: x/5 - 2 = x/5 - (10)/5:x/5 - (10)/5 = x/2 + 3
x/5 - (10)/5 = (x - 10)/5:(x - 10)/5 = x/2 + 3
Put each term in x/2 + 3 over the common denominator 2: x/2 + 3 = x/2 + 6/2:(x - 10)/5 = x/2 + 6/2
x/2 + 6/2 = (x + 6)/2:(x - 10)/5 = (x + 6)/2
Multiply both sides by 10:(10 (x - 10))/5 = (10 (x + 6))/2
10/5 = (5×2)/5 = 2:2 (x - 10) = (10 (x + 6))/2
10/2 = (2×5)/2 = 5:2 (x - 10) = 5 (x + 6)
Expand out terms of the left hand side:2 x - 20 = 5 (x + 6)
Expand out terms of the right hand side:2 x - 20 = 5 x + 30
Subtract 5 x from both sides:(2 x - 5 x) - 20 = (5 x - 5 x) + 30
2 x - 5 x = -3 x:-3 x - 20 = (5 x - 5 x) + 30
5 x - 5 x = 0:-3 x - 20 = 30
Add 20 to both sides:(20 - 20) - 3 x = 20 + 30
20 - 20 = 0:-3 x = 30 + 20
30 + 20 = 50:-3 x = 50
Divide both sides of -3 x = 50 by -3:(-3 x)/(-3) = 50/(-3)
(-3)/(-3) = 1:x = 50/(-3)
Multiply numerator and denominator of 50/(-3) by -1:Answer:  x = (-50)/3
7 0
2 years ago
A blockbuster movie makes about $352,000,000 in the United States during its opening weekend. The same weekend another movie ope
Ivenika [448]

The combined revenue for the movies in scientific notation is  \$ 3.568 \times 10^8.

The given parameters;

  • <em>first revenue made from the movie, = $352,000,000</em>
  • <em>second revenue made from the movie, = $4,800,000</em>

The combined revenue from the movie is calculated by adding the two revenues together as shown below;

Total revenue = $352,000,000  +  $4,800,000

Total revenue = $356800000 =  \$ 3.568 \times 10^8

Thus, the combined revenue for the movies in scientific notation is  \$ 3.568 \times 10^8

Learn more here:brainly.com/question/18911739

5 0
2 years ago
Which of the following statements best describes the location of −(−5) on a number line?
Korolek [52]
Hello,

-(-5) is also known as just a plain positive 5. When two negatives are multiplied together, they make the number positive. So, the location of -(-5) on a number line would be on the number 5. I hope this helps!

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8 0
3 years ago
Y-1/4=-3/8 solve for y
Leona [35]

Answer:

y=-1/8

Step-by-step explanation:

Add 1/4 to -3/8

3 0
2 years ago
Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

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