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3 years ago

The functions f and g are defined as follows.

Mathematics

1 answer:

Troyanec [42]3 years ago

8 0

Answer:

f(-5)= 90, g(7)= -3x+4

Step-by-step explanation:

First Solve f(x)

f(x)= 3×^2-3x

Plug in -5 to the x

3(5)^2-3(-5)

f(x)= 90

Then Solve g(x)

g(x)=-3x+4

Plug in the 7 in the x

g(x)=-3x+4

g(x)=17

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Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

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Can someone help me on a.) and b.) please... Thanks so much!!!

jenyasd209 [6]

Answer:

Step-by-step explanation:s 15 s30 s70

8 0

3 years ago

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Calculate the value of x

Katena32 [7]

Answer:

22⁰

Step-by-step explanation:

By angle sum property :

x + 127 + 31 = 180⁰

x = 180 - 158

x = 22⁰

3 0

3 years ago

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Find vertex for f(x) = -x*2-2x-6. show work and sensable answer please.

frez [133]

Answer:

The vertex would be (-1, -5).

Step-by-step explanation:

In order to find this, first find the x-coordinate of the vertex. You can do this by calculating out -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(-2)/2(-1)

2/-2

-1

So we know the x-coordinate to be -1. Now we plug that into the equation and find the y value.

-x^2 - 2x - 6

-(-1)^2 - 2(-1) - 6

-(1) + 2 - 6

-5

4 0

3 years ago

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Mario’s Pizzeria bakes olive pieces in the outer crust of its 20-inch (diameter) pizza. There is at least one olive piece per in

11111nata11111 [884]

Radius = 10

$C=2\pi*10=62.8=63$ inches.

So you'd get at least 63 pieces in the crust of the pizza.
Divide the answer by 8 to get the average number of piece per slice.

$\frac{63}{8} = 7.8 = 8$ pieces, approximately.

6 0

3 years ago

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