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34kurt
3 years ago
15

Jennifer bought 3 yards of fabric and a spool of thread for $28.10.

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

The fabric costs $8.95 per yard
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A ball is kicked off of the roof of a building. The path the ball travels is modeled by the equation f(x)= -x^2 + 6x+ 16, where
damaskus [11]

Answer:

This question is a rather easy one which can be answered by simply solving the embedded quadratic equation.

f(x) = -x^{2} + 6x + 16

To make our solving easier, what we do is multiply the whole equation by -1. By so doing, we make "x" positive. Then, we have

f(x) = x^{2} - 6x - 16

Solving this equation quadratically, we have

x^{2} + 2x - 8x - 16 = and when we factorize this expression, we have

x(x + 2) -8(x + 2) =

(x - 8) (x + 2) = 0

x - 8 = 0, x + 2 = 0

x = 8, or  x = -2

Since distance can not be in negative(minus), we then have our x to be 8 meters.

Another example on factorization can be seen here  brainly.com/question/13813750

3 0
3 years ago
What is the y-intercept of the line y + 11 = –2(x + 1.5)? y-intercept =
Lana71 [14]

y + 11 = –2(x + 1.5)

y=mx+b

multiply the bracket by -2

(-2)(x)=-2x

(-2)(1.5)=-3

y+11=-2x-3

move +11 to the other side

sign changes from +11 to -11

y+11-11=-2x-3-11

y=-2x-14

m is also the slope

b= y-intercept

Answer:

y-intercept=-14

6 0
3 years ago
What is the percent of change from 2000 to 300?
abruzzese [7]

Answer:

50%

Step-by-step explanation:

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⠀⠀╰┓▋▋┏╯⠀⠀⠀⠀⠀⠀⠀⠀

⠀╭━┻╮╲┗━━━━━╮╭╮⠀

⠀┃▎▎┃╲╲╲╲╲╲╲┣━╯⠀

⠀╰━┳┻▅╯╲╲╲╲╲┃⠀⠀⠀

⠀⠀⠀╰━┳┓┏━┳┓┏╯⠀⠀⠀

⠀⠀⠀⠀⠀┗┻┛⠀┗┻┛⠀⠀⠀⠀

8 0
3 years ago
What is the rate of change of the linear relationship modeled in the table? (4 points) x y −2 5 −1 4 0 3 1 2 a −2 b −1 c negativ
Ostrovityanka [42]

Answer:

rate of change=slope= y2-y1/x2-x1

Step-by-step explanation:

x: -2|-1|0|1

y : 5|4|3|2

so choose 2 ordered pairs. in this case, we will choose (-2,5) and (-1,4)

now we plug them in: \frac{4-5}{-1-(-2)}

4-5=-1

-1-(-2)=1

so -1/1 is equal to -1, meaning it's answer option b.

4 0
3 years ago
Read 2 more answers
What is the equation of the line in standard form
aivan3 [116]

your answer is d because the formula is Ax+By=C

6 0
3 years ago
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