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3 years ago

Find an equation of the line that (a) has the same y-intercept as the line and (b) is parallel to the line .

1 answer:

8 0

You didn't describe the line. / / / / If the equation of the line is [ y = m x + b ] then [ y=(any number) x+b] has the same y-intercept, and [y=mx+any number] is parallel to it.

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When the women's soccer team won the state championship, the parent boosters welcomed the team back to school with a balloon b

Ray Of Light [21]

Answer:

Each bouquet included 8 latex balloons and 4 foil balloons

Step-by-step explanation:

Hi there!

Let x be the number of latex balloons and y the number of foil balloons. The total cost of the balloons will be the cost of each latex balloon times the amount (x) added to the cost of each foil balloon times the amount of these balloons (y). Then:

Cost of each latex balloon = 0.14

Amount of latex balloon = x

Cost of each foil balloon = 1.96

Amount of foil balloons = y

0.14 x + 1.96 y = 161.28

We also know that each player received 12 balloons. Since there are 18 players, the number of foil and latex balloons will be 18 · 12 = 216 balloons.

Then:

x + y = 216

So we have a system of equations that we can solve because we have two equations and two unknowns. Let´s solve it!

0.14 x + 1.96 y = 161.28

x + y = 216

Let´s solve the second equation for y:

x + y = 216

y = 216 - x

Now, let´s replace y in the first equation and solve it for x:

0.14 x + 1.96 y = 161.28

0.14 x + 1.96 (216 - x) = 161.28

Apply distributive property:

0.14 x + 423.36 - 1.96 x = 161.28

-1.82 x + 423.36 = 161.28

-1.82 x = 161.28 - 423.36

-1.82 x = -262.08

x = -262.08 / -1.82

x = 144

There are 144 latex balloons

Then:

y = 216 -144 = 72

There are 72 foil balloons

If 144 latex balloons are distributed among the 18 players, each player will receive (144/18) 8 balloons.

In the same way, if the 72 foil balloons are distributed among the players, each will receive (72/ 18) 4 balloons.

Then, each bouquet included 8 latex balloons and 4 foil balloons.

7 0

3 years ago

Tell whether this function is quadratic. {(10, 50), (11, 71), (12, 94), (13, 119), (14, 146)} .

irga5000 [103]

When we have consecutive values, f(10), f(11), f(12), f(13), f(14), we can make a difference table to determine the degree of f as a polynomial. A quadratic will have a constant second difference:

x 10 11 12 13 14

f(x) 50 71 94 119 146

1st diff 21 23 25 27

2nd diff 2 2 2

We got a constant second difference, so f is a polynomial of degree two.

Answer: This function is quadratic

6 0

4 years ago

Multiply. <br><br> 4 × 0.002 =

trapecia [35]

The answer to your question is 0.008

7 0

4 years ago

Round .1325 to nearest thousandths

m_a_m_a [10]

So,

If the number in the ten-thousandth's place is greater than or equal to 5, then round up. If not, round down.

0.1325: Note the 5. We round up.

0.1325 --> 0.133

4 0

3 years ago

Read 2 more answers

PLS HELP!! If f(x) = 2x^2-4x and g(x) =5-2x, evaluate f(x)-g(x) for x=5

anastassius [24]

To solve this equation you need to first start by writing out the f(x)-g(X).
The equation should be 2x^2-4x-5+2x.
You then want to simplify the equation, I got 2x^2-2x-5.
You then want to plug in the x=5 for all the x's in the equation.
2(5)^2-2(5)-5 would be the equation.
The answer you get should be 35.

6 0

3 years ago