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Vsevolod [243]
1 year ago
12

1.Noah has a coupon for 30% off at his favorite clothing store. He uses it to buy a hoodie and a part of jeans.If the regular pr

ice of an item is x dollars and the item is 30% off, how wouldyou find the new price?
Mathematics
1 answer:
LenKa [72]1 year ago
8 0

If the item price is x dollars with 30% off, this item cost

\begin{gathered} x-(0.3\cdot x)=x(1-0.3)=x\cdot0.7 \\  \end{gathered}

where 0.3 correspond to 30%.

For instance, lets suppose that the item cost $50, then we have

50\cdot0.7=35

that is, the item will cost $35.

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what is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth
xeze [42]

Answer:

954.56 in²

Step-by-step explanation:

A = 2×π·r² + 2·π·r·h

= 2×3.14×64 + 2×3.14×8·11

= 401.92 + 552.64

= 954.56 in²

4 0
3 years ago
The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
3 years ago
Look at the triangle:
lutik1710 [3]

Answer:

15/17

Step-by-step explanation:

You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.

7 0
3 years ago
50 parents were asked which activities they enrolled their infant in.
Salsk061 [2.6K]

Answer: gymnastics   35

               music       21

               swimming      36

Step-by-step explanation:

gymnastics   35=20+9+6

music   21=8+7+6

swimming   36=20+9+7

4 0
3 years ago
Which of the following are solutions to the equation below?
Reptile [31]

Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

x(x - 1) +2(x-1) = 0

(x+2)(x-1) = 0

Solve for x

x +2 = 0   OR     x - 1 = 0        

x = -2       OR     x = 1

Answer will be Option B and D

Hope this helped and have a good day

7 0
2 years ago
Read 2 more answers
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