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insens350 [35]
3 years ago
6

15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total

$4.60. How
many of each coin does he have?
Mathematics
1 answer:
pochemuha3 years ago
5 0

10 quarters 6 nickels 18 dimes

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Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)
Dmitrij [34]

Answer:

(g-f)(3) = 20

Step-by-step explanation:

g(3)=6 * (3) = 18

f(3)= 4-2(3) = 4 - 6 = -2

So

(g-f)(3) = 18 - (-2) = 20

4 0
3 years ago
Simplify -4(x - 5) + 3(a - 7)
STatiana [176]

using the distributive property:

-4x + 20 + 3a - 21

Then combine like terms:

-4x + 3a - 1

A is the answer

7 0
3 years ago
Penelope has been practicing driving a golf ball. The lengths of her first 3 drives are shown below: • Drive 1: 180 yards • Driv
disa [49]

Answer:

The answer is "183  yards"

Step-by-step explanation:

Drive \ 1= 180 \ yards \\\\Drive \ 2= 170 \ yards\\\\ Drive\ 3= 195 \ yards \\\\Drive \ 4= x \ \ yards \\\\

Using formula:

\to \text{average of number}=\frac{sum \ of \ number}{total\ number}\\\\\to 182 =\frac{180+170+195+x}{4}\\\\\to 4 \times 182 =545+x\\\\\to x= 728-545\\\\\to x=183

3 0
3 years ago
Solve the expression 3x+15-2x+12
muminat
3x + 15 - 2x + 12

(3x - 2x) + (15 + 12)

x + 26

hope this helped :)
8 0
2 years ago
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