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3 years ago

9 - 4(2x - 1) = 45 please help

Mathematics

1 answer:

ddd [48]3 years ago

5 0

Answer:

$x=-4$

Step-by-step explanation:

$9-4(2x-1)=45$

First, we expand the equation using the distributive rule:

$x(y-z)=xy-xz$

Hence, $9-4*2x-4*-1=45$

Simplify: $9-8x+4=45$

Add like terms:

$13-8x=45$

Subtract 13 from both sides: $-8x=32$

Divide both sides by -8:

$x=-4$

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Factor x^4 + x y^3 + x^3 + y^3 completely. Show your work.

andrey2020 [161]

$\bf x^4+xy^3+x^3+y^3\impliedby \textit{now let's do some grouping}
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(x^4+xy^3)~~+~~(x^3+y^3)\implies x(x^3+y^3)~~+~~(x^3+y^3)
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\stackrel{\stackrel{common}{factor}}{(x^3+y^3)}(x+1)\\\\
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\textit{now recall that }\qquad \qquad \textit{difference of cubes}
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5 0

3 years ago

(5,2), (-2,5),(2,5),(-5,2)

Alecsey [184]

Answer:

the second row is not a function! top row is a function

Step-by-step explanation:

because in order for it to be a function for every x there is exactly one y meaning there is no repeating x values! the second row had x = 5 twice, therefore they repeated x values meaning it's not a function

6 0

3 years ago

Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an

True [87]

Answer:

a) 8.16%

b) $65,762.50

c) $39,701.07

Step-by-step explanation:

Given:

15 years ago, Initial investment = $12500

5 years ago, Investment = $20000

Nominal interest = 8% semi annually for first 10 years

Interest2= 6.5% compunded annually for last five years

a) for the effective annual interest rate (EAR) in the first 10 years, let's use the formula:

[1+(nominal interest rate/number of compounding periods)]^ number of compounding periods-1

$EAR = [1 + (\frac{0.08}{2})]^2 - 1$

$= (1 + 0.04)^2 - 1$

$= (1.04)^2 - 1$

= 1.0816 - 1

= 0.0816

= 8.16%

The effective annual interesting rate, EAR = 8.16 %

b) To find the amount in my account today.

Let's first find the amount for $12500 for 10 years compounded semi annually

= 12,500 +( 12,500 * 8.160% * 10)

= $ 22,700

Let's also find the amount for $32,500($12,500+$20,000) for 5 Years compoundeed annually

$32,500 + ($32,500 * 6.5% *5)

= $ 43,062.50

Money in account today will be:

$22,700 + $43,062.50

= $65,762.50

c) Let's the amount I should have invested to be X

For first 10 years at 8.160%, we have:

Interest Amount = ( X * 8.160% * 10 ) = 0.8160 X

For next 5 years at 6.5%, we have:

Interest Amount = (X * 6.5% * 5) = 0.325 X

Therefore the total money at the end of 15 Years = 85000

0.8160X + 0.3250X + X = $85,000

= 2.141X = $85,000

X = 85,000/2.141

X = 39,701.074 ≈ $39,700

If I wish to have $85,000 now, I should have invested $39,700 15 years ago

7 0

3 years ago

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

FrozenT [24]

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

AB = 10

BD = 5

DE= 12

Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

4 0

3 years ago

Your answer should be a polynomial in standard form. ( − 2 h + 9 ) ( 9 h − 2 ) = (−2h+9)(9h−2)=

AleksandrR [38]

Answer:

$-18\cdot h^{2} + 85\cdot h - 18$

Step-by-step explanation:

The polynomial in standard form is:

$(-2\cdot h + 9) \cdot (9\cdot h - 2)$

$-18\cdot h^{2} + 81\cdot h +4 \cdot h - 18$

$-18\cdot h^{2} + 85\cdot h - 18$

5 0

3 years ago

9 - 4(2x - 1) = 45 please help​

9 - 4(2x - 1) = 45 please help