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malfutka [58]
3 years ago
10

Jace has nn nickels and dd dimes. He has at most 20 coins altogether. Write this situation as an inequality.

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

nn + dd ≤ 20

≤ = at most or

less than or = to

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
Factor f(x) = 4x3 + 15x2 – 24x + 5 into linear factors given that - 5 is a zero of f(x).15f(x) = 4x3 + 15x2 - 24x + 5 =(Factor c
Basile [38]

If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )

To find the other two factors we can divide the polynomial by the expression (x+5).

Using synthetic division, we have:

-5 I 4 15 -24 5 (Coefficients of the dividend)

I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)

-----------------------------------------------------------------------------------

4 -5 1 0 (Coefficients of the quotient)

The result of the division is 4x^2 - 5x + 1. Factoring it, we have:

4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)

4x (x - 1) - (x -1) (Factoring each pair of terms)

(x-1)(4x-1) (Factoring using the common factor)

So the answer would be:

(x + 5 )(x-1)(4x-1)

3 0
1 year ago
Write 65 and 100 in expanses form
Free_Kalibri [48]
Sixty-six
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4 0
3 years ago
Kaitlin is constructing a box in the shape of a rectangular prism to hold her lab supplies. To sit on her locker shelf, she need
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Answer:

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Step-by-step explanation:

In this question, we are concerned about calculating the height of the supplies box.

To be able to get the value for the volume, we need to use the mathematical formula.

Since It is a rectangular prism, the volume V = l * b * h

where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2

The height of the supply box is thus 90/30 = 3 inches high

8 0
3 years ago
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