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3 years ago

Given the equation 2^2-^1=8^x-1 what is the value of x

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

Answer:

i can't solve it because it's not complete

you need something 2^2 (right here) -^1=8^x-1

Step-by-step explanation:

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Which will result in a difference of squares?

otez555 [7]

Expanding the given expressions using Foil:

1)(–7x + 4)(–7x + 4) = $7x^{2}-28x-28x+16=49x^{2}-56x+16$

2) (–7x + 4)(4 – 7x)= $-28x+49x^{2}+16-28x=49x^{2}-56x+16.$

3)(–7x + 4)(–7x – 4)= $49x^{2}+28x-28x-16$ = $49x^{2}-16.$

4)(–7x + 4)(7x – 4)= $49x^{2}+28x+28x-16=49x^{2}+56x-16.$

The third option that is (–7x + 4)(–7x – 4) is difference of two squares.

5 0

4 years ago

Read 2 more answers

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

I’ll give brainiest

ElenaW [278]

Answer:

8.33333cm

Step-by-step explanation:

Using the formula

A=wl

Solving forw

w=A/L

=125/15

≈8.33333cm

8.3cm to the nearest tenth

correct so pls mark brainliest

7 0

2 years ago

Find the mean absolute deviation (MAD) of the data in the pictograph below

Tanya [424]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2

klio [65]

By the polynomial remainder theorem, the remainder upon dividing $p(x)$ by $x-3$ will be the value of $p(3)$ .

... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ... 3 ... -9 ... -39 .. -135
--------------------------------------
... | 1 ... -3 ... -13 . -45 .. -137

So you have

$\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}$

which means $p(3)=-137$ .

5 0

3 years ago