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stiks02 [169]
3 years ago
8

If f(x)= x^2 + 5 and g(x) =5x+4, what is[f o g(6)

Mathematics
1 answer:
natulia [17]3 years ago
7 0
You can do this a couple ways: either find g(6), then find f(x) of whatever that gives you (a 2-step process), or come up with a new expression to represent f(g(x)) and sub 6 into that (a 1-step process). I like the 1-step process more.

g(x) = 5x + 4; We want to sub this expression into every x in f(x) to get f(g(x)). If f(x) = x^2 + 5, then f(g(x)) = g(x)^2 + 5 = (5x + 4)^2 + 5. Now you can sub 6 into this equation and solve: f(g(6)) = (5(6) + 4)^2 + 5 = 1161.
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Can anybody help me?
lakkis [162]

You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7

8 0
3 years ago
1. What is the percent as a decimal? 73% *<br> O<br> 0.73<br> 7.3<br> 0.0073<br> Ο Ο<br> 730
kotegsom [21]

Answer:

0.73

Step-by-step explanation:

3 0
3 years ago
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Determine whether y varies directly with x. If so, find the constant of variation k and write the equation
nydimaria [60]

y/x = k

6.4/4 = 1.6

11.2 / 7 =1.6

16/10 = 1.6

20.8 /13 =1.6


This is a direct variation and the constant is 1.6

y=1.6x

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3 years ago
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A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged a 7%
Tems11 [23]

Answer:

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

The store price is $12.00+50% more

The store price= $12.00 *(1+0.5)= $18.00

Final price (tax added)= $18.00 + 7%

Final price= $18.00 * (1 + 0.07)= $19.26

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3 years ago
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Which is the solution to (8.5 x 103)(2 x 105) expressed in scientific notation?
kenny6666 [7]

We have been given an expression (8.5\times 10^3)(2\times 10^5). We are asked to find the solution to our given expression expressed as scientific notation.

Let us simplify our given expression.

Using exponent property a^m\cdot a^n=a^{m+n}, we will get:

8.5\times 2\times 10^3\times 10^5

17\times 10^{3+5}

17\times 10^{8}

Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:

1.7\times 10\times 10^{8}

1.7\times 10^{1+8}

1.7\times 10^{9}

Therefore, our required solution would be 1.7\times 10^{9}.

8 0
3 years ago
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