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2 years ago

Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

Mathematics

2 answers:

bonufazy [111]2 years ago

5 0

Answer:

x;−3y=4+

Rewrite equations:

x;−3y=

x+4

Step: Solvey=

xfor y:

Step: Substitute

xforyin−3y=

x+4:

−3y=

x+4

−3

x+4

−3

x+4(Simplify both sides of the equation)

−3

−1

x+4+

−1

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

prisoha [69]2 years ago

4 0

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:

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What is the volume of a cube that has sides 9.2 inches long?

anzhelika [568]

The volume of a cube is V=x³ where x is the side length. The volume of a cube can also be written as V=lwh, where l is length, w is width and h is height. since the given side length to us is 9.2, we can put that into the formula.
V=9.2³, or V=9.2*9.2*9.2
V=778.688in³

5 0

2 years ago

PLEASE HELP!! I’LL MAKE YOU BRAINIEST!

Leokris [45]

Answer:

1. Markup: $2.70, Retail: $20.70

2. Markup: $9.45, Retail: $31.95

3. Markup: $25.31, Retail: $59.00

4. Markup: $24.75, Retail: $99.74

5. Markup: $48.60, Retail: $97.20

6. Markup: $231.25, Retail: $416.25

Step-by-step explanation:

To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.

$18 * 0.15 = $2.70

So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.

$18 + $2.70 = $20.70

So your retail price is $20.70. Repeat these steps for each question to get the answers above.

Hope this helps.

7 0

2 years ago

How to simplify the expression (2^2)÷2^10

dimulka [17.4K]

Simplify means solve and to solve we first need to do 2 to the 2nd power which is two * 2 that equal 4 than do 2 to the 10th power that equal 1024 and than we can just do

4 divided by 1024 = 0.0390625

6 0

3 years ago

Help me with 5 and 6 please I really don’t get it

alekssr [168]

Answer:

5 is congruent, 6 is not congruent

Step-by-step explanation:

In 5, both shapes have the same side lengths. This means their areas are the same, making them congruent.

In 6, the shapes do not have the same side lengths. This means their areas are not the same, making them not congruent.

6 0

3 years ago

We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 1137 vehicl

USPshnik [31]

Answer:

a) As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

c) highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

d) See the figure attached.

Step-by-step explanation:

For this case we have the following linear model:

highway mpg = 6.785 + (1.033 × city mpg)

(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.

As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.

For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

(c) Find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (Round your answer to two decimal places.)______ mpgFind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (Round your answer to two decimal places.)______ mpg

For this case we just need to replace into the formula and we got:

highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

(d) Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.)

See the figure attached

6 0

3 years ago