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VladimirAG [237]
3 years ago
15

A woman bought some large frames for $15 each and some small frames $5 each at a close out sale. If she bought 23 frames for $19

5, find how many of each type she bought
Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
Let X be large frames and Y be small frames.
X+Y=23
15X+5Y=195 or 3X+Y=39

Thus 2x=16
so X=8
so Y=15

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Solve the eqauation 76a^3+19a^2+16a=-4
Crazy boy [7]

Answer:

The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4

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Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.

The equation can also be written as (76a³+19a²)+(16a+4) = 0

On factorizing out the common terms from each parenthesis, we will have;

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19a²+4 = 0

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6 0
3 years ago
The diagonals of a rhombus intersect at the point (0,4). If one endpoint of the longer diagonal is located at point (4,10), wher
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Answer:

The other endpoint is located at (-4,-2)

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The point (0,4) is the midpoint of the two diagonals

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

we have

M=(0,4)

(x_1,y_1)=(4,10)

substitute

(0,4)=(\frac{4+x_2}{2},\frac{10+y_2}{2})

<em>Find the x-coordinate x_2 of the other endpoint</em>

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<em>Find the y-coordinate y_2 of the other endpoint</em>

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therefore

The other endpoint is located at (-4,-2)

4 0
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