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g100num [7]
3 years ago
12

Solve by the quadratic formula x^2 = 6x-4

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

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A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $
Ivahew [28]

We invested $7000 invested in two accounts, we don't know how much exactly is in each account, therefore we will assign variables to these amounts. The amount invested in the "8%" account is "x", while the other one is "y". The sum of these two numbers must be equal to $7000, therefore:

x+y=7000

The sum of interest of each account should be equal to 580, therefore:

0.08\cdot x+0.12\cdot y=580

We need to solve the system in order to determine the values.

\begin{gathered} \begin{cases}x+y=7000 \\ 0.08x+0.12y=580\end{cases} \\ \begin{cases}-0.12x-0.12y=-840 \\ 0.08x+0.12y=580\end{cases} \\ -0.04x=-260 \\ x=\frac{-260}{-0.04}=6500 \\  \end{gathered}

Now we can replace the value of "x" in the first equation to determine the value of "y".

\begin{gathered} 6500+y=7000 \\ y=7000-6500 \\ y=500 \end{gathered}

The values are 6500 in the 8% account and 500 in the 12% account.

4 0
11 months ago
HELPPP PLEASEE BEST ANSWER IS BRAINLIEST. HELPPPP please best answer gets brainliest
tester [92]

Answer:

21w+3

Step-by-step explanation:

5w+9w+5+7w-2

14w+5+7w-2

21w+3

5 0
2 years ago
Read 2 more answers
Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6
yawa3891 [41]

Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

4 0
3 years ago
What is 2/3 simplified and divided please show steps
AleksAgata [21]

Answer:

2/3 can't be divided because it's in its lowest form so you can reduce it

7 0
3 years ago
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How much does mike charge a new customer to ship a package that weighs 50 pounds ? He chargers $40 per pound.
Vera_Pavlovna [14]

Answer:

$2000

Step-by-step explanation:

For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.

... 50 × $40 = $2000

3 0
3 years ago
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