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Mars2501 [29]
2 years ago
15

Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
5 0

Answer:

13

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

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Find the discriminant<br> 9x^2+14x+13=8x^2
tiny-mole [99]

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

8 0
3 years ago
At the end of year 1, Boller Co. had an ending balance in allowance for uncollectible accounts of $30,000. During year 2, Boller
Masja [62]

Answer:

$34,000

Step-by-step explanation:

First they had 30,000

Then wrote off 40,000

So balance is 30,000 - 40,000 = -10,000

Now, they want 8% of 300,000 as uncollectible. So that would be

0.08 * 300,000 = 24,000

Thus, to bring the balance to 24,000 [balance is -10,000], how much would they need to add?? Let it be x:

-10,000 + x = 24,000

x = 24,000 + 10,000 = $34,000

8 0
3 years ago
Rewrite (120 + 20) using factoring.
solong [7]

5(24+4) Also 20(6+1)...................

5 0
1 year ago
Read 2 more answers
Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes.
Reptile [31]
$18,617.75 is the answer
$87,525-$77,100=$10,425 (the amount over $77,100)
$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)
$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75



8 0
2 years ago
A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape
nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph.  In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2).  Plug in to find the value of a.

2 = a│1 − 5│+ 3

2 = 4a + 3

a = -¼

Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0
3 years ago
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