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3 years ago

Use the table to write a proportion. Please help. Ty!

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Answer:

$21.\bar{3}$

Step-by-step explanation:

Assuming a constant ratio, we can set up the following proportion:

$\frac{6}{8}=\frac{16}{m}$ .

Cross-multiply to solve:

$6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}$

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Answers to these please no links or files

Tresset [83]

I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!

4 0

3 years ago

The function f(x)f(x) is a quartic function and the zeros of f(x)f(x) are -6−6, -5−5, -2−2 and 11. Assume the leading coefficien

Luden [163]

<h2>Answer: </h2>

$\boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}$

<h2>Explanation: </h2>

A quartic function is a function given by the the following equation in standard form:

$f(x)=a_{4}x^4+a_{3}x^3+a_{2}x^2+a_{1}x+a_{0} \\ \\ \\ Where: \\ \\ a_{4},a_{3},a_{2},a_{1},a_{0} \ \text{are constant} \\ \\ \text{and} \ a_{4} \ \text{is the leading coefficient}$

From the statement we must assume the leading coefficient of f(x) is 11, so:

$a_{4}=11$

The zeros are:

$x=-6 \\ \\ x=-5 \\ \\ x=-2 \\ \\ x=11$

So, we can write:

$f(x)=11(x-(-6))(x-(-5))(x-(-2))(x-11) \\ \\ \\ So: \\ \\ \mathrm{Rule}:-\left(-a\right)=a \\ \\ \\ Then: \\ \\ f(x)=11\left(x+6\right)\left(x+5\right)\left(x+2\right)\left(x-11\right)$

$Expand:\left(x+6\right)\left(x+5\right):\ x^2+11x+30: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^2+11x+30\right)\left(x+2\right)\left(x-11\right) \\ \\ \\ Expand:\left(x^2+11x+30\right)\left(x+2\right):\ x^3+13x^2+52x+60: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^3+13x^2+52x+60\right)\left(x-11\right)$

$Expand: \left(x^3+13x^2+52x+60\right)\left(x-11\right):\ x^4+2x^3-91x^2-512x-660 \\ (Distributive \ property)$

Finally:

$f(x) = 11(x^4 + 2x^3 - 91x^2 - 512x - 660) \\ \\ \boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}$

3 0

3 years ago

If (x^2+1)/x = 7 find x^2+(1/x^2)

White raven [17]

Answer:

x²+(1/x²) = 47

Step-by-step explanation:

by identity : (a+b)² = a²+b²+2ab

(x+1/x)²= x²+(1/x)²+2(x)(1/x)

(x+1/x)²= x²+(1/x²)+2....(1)

since : (x²+1)/x = 7

(x²/x) +(1/x) = 7

x + (1/x )= 7

put the value for : x +(1/x) in (1) :

49 = x²+(1/x²)+2

x²+(1/x²) = 47

4 0

3 years ago

The net of a square pyramid is shown above.

Flura [38]

Answer:

where is the picture???????????????

Step-by-step explanation:

6 0

3 years ago

2. (-5+ 6n to the 3rd power) + (1- 2n to the 2nd power)

Alja [10]

I think it would -4 + 6n to the power of 3 - 2n to the power of 2. I could be wrong. If so, you can report it as an error or something.

4 0

4 years ago