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AlexFokin [52]
2 years ago
9

H(x) = (x2 − 49)(x + 4)

Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

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The profit of a certain refrigerator is 35% of the cost price. If the profit is $280, find
anzhelika [568]

Answer:

profit%=35%

Let cp be x

profit =$280

To find cost price of a refrigerator use formula

profit%=profit/cost price *100

35%=$280/x*100

35%=$28000/x

35*x=$28000

x=$28000/35

x=$800

now to find the selling price of a refrigerator use formula

selling price=cost price +profit

=$800+$280

=$1080

Step-by-step explanation:

therefore the cost price of a refrigerator is $800 and selling price is $1080

3 0
3 years ago
Riley rakes 1/6 of a lawn in 2/3 hour. How many lawns can Riley rake per hour?
Butoxors [25]

Answer:

Riley rakes 1/4 of the lawns per hour.

Step-by-step explanation:

It is given that,

Riley rakes 1/6 of a lawn in 2/3 hour.

We need to find how many lawns can Riley rake per hour.

In 2/3 hour Riley rakes 1/6 of a lawn

In 1 hour Riley rakes \dfrac{1}{6}\times \dfrac{3}{2}=0.25 = 1/4 of a lawn.

Hence, Riley rakes 1/4 of the lawns per hour.

4 0
2 years ago
X^2 +6x+30 in vertex form
Elina [12.6K]

Answer:

Step-by-step explanation:

Factoring  x2-6x-30

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -30

Step-1 : Multiply the coefficient of the first term by the constant   1 • -30 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -6 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

7 0
3 years ago
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KatRina [158]
False
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4 0
2 years ago
The points in the table lie on a line. Find the slope of the line.
wolverine [178]
Answer

Y=5x+2

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