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3 years ago

Please help me with 16 a-b, thank you

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

A)x= blueberry in pounds
y=strawberry in pounds

to make the muffins

b) x+y≥3
4x+3y≤ 21

here the system of linear

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a 70° angle, a 30° angle, an 80° angle How many triangles can be made with the angle measures shown here?

zhenek [66]

Only one triangle because 70+30+80=180 and 1 triangle has in total 180°

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3 years ago

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Which of the following equations could be used to determine the value of X

Tcecarenko [31]

Answer:

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

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The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

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3 years ago

When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is

german

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

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3 years ago

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From least to greatest 42%,0.43,17/40

Tasya [4]

The answer is this

42%, 17/40, 0.43

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3 years ago