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VLD [36.1K]
3 years ago
14

For f(x) = 2x + 3 and g(x) = x2 – 8, find (f + g)(x).

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

x² + 2x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + x² - 8 ← collect like terms

= x² + 2x - 5

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The function, y(r)=2.76r , is used to convert Russian rubles in Japanese yen, and the function, P(y)=0.16y , is used to convert
timurjin [86]

They probably want 880 pesos, since they asked you do intermediate rounding

but a more accurate answer would be
883.20 pesos

To combine the functions, you'd substitute in 2.76r for y in 0.16y. This would give you 0.16(2.76r), which simplifies to 0.4416r, but they want you round this to the nearest hundredth, so its really 0.44r.  Substitute in the 2000 for r and you get 0.44 * 2000 which is 880 pesos

5 0
3 years ago
0.0065 divided by 10
SashulF [63]

Answer:

0.0065 divided by 10

Step-by-step explanation:

Here you go.

7 0
3 years ago
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If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq<br><br>​
Butoxors [25]

By way of example, suppose <em>A</em> = {1, 2, 3} and <em>B</em> = {<em>a</em>, <em>b</em>, <em>c</em>}. Then the Cartesian product of <em>A</em> and <em>B</em> is

<em>A</em> × <em>B</em> = {{1, <em>a</em>}, {1, <em>b</em>}, {1, <em>c</em>}, {2, <em>a</em>}, {2, <em>b</em>}, {2, <em>c</em>}, {3, <em>a</em>}, {3, <em>b</em>}, {3, <em>c</em>}}

That is, each element in <em>A</em> gets a pairing with each element in <em>B</em>, and for each pairing you have <em>n(A)</em> choices for the first element and <em>n(B)</em> choices for the second element.

So if <em>n(A)</em> = <em>p</em> and <em>n(B)</em> = <em>q</em>, then <em>n(A</em> × <em>B)</em> = <em>pq</em>.

6 0
3 years ago
Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to ma
zhenek [66]

Answer:

<u>Alternative hypothesis 1</u>:  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2</u>:  the mean amperage at which the fuses burn out is < 40 amperes.

Step-by-step explanation:

Recall that the null hypothesis is the fact you want to refute and is in doubt.

So, in this specific case, <em>the null hypothesis would be that the mean amperage at which the fuses burn out is 40 amperes. </em>

The alternative hypothesis are those that want to refute the null hypothesis, in this case there are 2:

<u>Alternative hypothesis 1:</u>  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2:</u>  the mean amperage at which the fuses burn out is < 40 amperes.

6 0
3 years ago
HELP PLEASE I DONT KNOW THIS ONE
DaniilM [7]

Answer:

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

Step-by-step explanation:

2              3x

--------   - ----------

X^2-9    x^2 -5x+6

Factor

2                 3x

--------   -      ----------

(x-3)(x+3)   (x-3)(x-2)

Get a common denominator

2  (x-2)               3x(x+3)

--------   -             ----------

(x-3)(x+3)(x-2)   (x-3)(x-2)(x+3)

2x-4  - (3x^2 -9x)

-------------------------------

(x-3)(x-2)(x+3)

Distribute

2x-4  - 3x^2 +9x

-------------------------------

(x-3)(x-2)(x+3)

Combine like terms

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

4 0
2 years ago
Read 2 more answers
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