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3 years ago

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

5 0

Answer:

u2 + 5u – 6 = 0 where u = (x + 2)

Darya [45]3 years ago

3 0

Quadratic is in the form
ax^2+bx+c=0

so distribute and stuff and simplify
remember
a(b+c)=ab+ac

(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0

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You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

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devlian [24]

Answer:

Tara is incorrect.

Step-by-step explanation:

The location of X' will be (7,1)

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3 years ago

Rewrite the following equation in slope-intercept form<br> y-6=-9(x-5)

gogolik [260]

Answer:

y=-9x+51

Step-by-step explanation:

-9x+45=y-6

add 6 to both sides to get

-9x +51=y

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3 years ago

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lutik1710 [3]

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