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NeX [460]
3 years ago
15

Solve for y: -5(2y+3) +5=40

Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

Step-by-step explanation:

-5(2y + 3) +5 = 40

-10y - 15 + 5 = 40

-10y = 40 +15 - 5

-10y = 50

y =\frac{50}{-10\\}

y = -5

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Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7
Mariana [72]

We are given the following functions

\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}

Therefore, f(g(x) and g(f(x)) are

\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}

5 0
1 year ago
Domain pls help quick
Likurg_2 [28]

Answer:

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan
Anvisha [2.4K]

Answer:

Step-by-step explanation:

So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.  

Year 1 total: $2136.33

Year 2 total:$2173.29

Year 3 total:$2210.89

Year 4 total:$2249.14

Year 5 total:$2288.05

Total Paid After 5 years:$11057.70

Year 1 total interest:$36.33

Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91

Total Interest paid after 5 years:$188.05

5 0
4 years ago
Solve the equation 3(f-1)+f= 1
monitta

Answer:

F = 1

Step-by-step explanation:

3(f-1) + f =

3(1 - 1) + 1 =

3(0) + 1 =

0 + 1 =

1

Therefore F = 1 hope this helped! Please give me a 5 star rating????

3 0
4 years ago
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I need help!!!!!!!!!!!!!!!
Viefleur [7K]

Answer:

B=c=119

Step-by-step explanation:

B=180-61=119

C=B=119

5 0
3 years ago
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