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2 years ago

If x^6 = x^8, name all the possible real number values of x that satisfy this equation. Explain your answer.

Mathematics

1 answer:

Andru [333]2 years ago

7 0

X^6=x^8 subtract x^8 from both sides

x^6-x^8=0 factor out x^6

x^6(1-x^2)=0 now factor parenthetical term

x^6(1-x)(1+x)=0

So the values of x that satisfy the above condition are:

x=-1,0,1

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lara31 [8.8K]

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)

m = $\frac{5-3}{4-5}$ = $\frac{2}{-1}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 5), then

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

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3 years ago

What is the exact circumference of the circle?

Arlecino [84]

I am pretty sure it is 180 degrees

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3 years ago

Read 2 more answers

2. Saul invested an average of $425 per month since age 30 in various securities for his

BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

$A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65$

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

$A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95$

#We subtract to find how much more he would have if he started saving at 20;

$=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30$

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

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3 years ago

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Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = $\frac{5}{12}$

For 36 guests, we need liters of Yoda soda = $\frac{5}{12}\times36=\frac{180}{12} =15\ liters$

Therefore, we need 15 liters of Yoda soda for 36 guests.

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2 years ago

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