All categories

2 years ago

I ONLY need 8c Please show ALL STEPS

Mathematics

1 answer:

viktelen [127]2 years ago

3 0

Answer:

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) = x^4 + 2x^3 + 2x^2 - x

Step-by-step explanation:

f(x) = x^2 - x ; g(x) = x^2 + x

f(g(x)) = (x^2 + x)^2 - (x^2 + x)

f(g(x)) = (x^2 + x)^2 - x^2 - x

f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x

f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x

f(g(x)) = x^4 + 2x^3 - x

g(f(x)) = (x^2 - x)^2 + x^2 - x

g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x

g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x

g(f(x)) = x^4 + 2x^3 + 2x^2 - x

You might be interested in

I WILL GIVE FIRST ANSWER BRAINLIEST

Ostrovityanka [42]

Answer:

1) Papa Ron's(60$ per shift)

2) Little Squeezer's(3$ per pizza)

3) Little Squeezer's

Explanation:

1) A shift's pay is money given for simply entering the workplace(at least in this problem!) So it would be money given whether Tony has delivered pizzas or not. It would be numerically equal to his pay when he doesn't deliver any pizzas.

Bombino's offers 56$ per shift(stated in Q),

Little Squeezer's offers 48$ when he has delivered no pizzas, thus it must be his pay per shift.

Pizza Tent offers 52$ when he has delivered zero pizzas(substitute

in the given function S)

The graph shows that Papa Ron's offers 60$ when no pizzas are delivered. This is clearly the best pay per shift. (when

)

2) Bombino's: 2.5$ per pizza(stated)

Little Squeezers gives 6$ more than his default pay(which he would get even if he didn't deliver anything) when Tony has delivered 2 pizzas. Thus it gives 3$ per pizza.

Pizza Tent gives 2.75$ per pizza. This can be inferred from S.

2.75

Here, 52 is his default pay. He gets 2.75$ for each pizza delivered, as it is the coefficient of

Papa Ron's pay per pizza can be calculated by finding the slope of the line in the graph.

Here, I take the points (64, 2) and (60, 0).

−

Thus the pay is 2$ per pizza delivered. For simplicity, I will define Papa Ron's pay as a function

(Notice that 2 is the slope and 60 is the base pay)

Clearly, Little Squeezer's offers the most per pizza.

3) To figure this question out, we will need to find pay when Tony delivers 20 pizzas for each restaurant.

Bombino's pays

2.5

(

)

106

Little Squeezer's pays

(

)

108

Pizza Tent pays

2.75

(

)

107

Papa Ron's pays

(

)

100

So, Little Squeezer's is the company that pays best when Tony is delivering over 19 pizzas.

(This is a long question, I may have made a mistake. Please correct me if that is the case.)

Step-by-step explanation:

8 0

2 years ago

If 8 cakes cost $62.40, how much would 3 cakes cost?

Ilya [14]

Answer:

Step-by-step explanation:

Given,

Cost price of 8 cakes = $62.40

So,

Cost price of 1 cake = $ $\frac{62.40}{8}$

Therefore,

Cost price of 3 cakes

= $( $\frac{62.40}{8}$ × 3)

[On dividing 62.40 by 8]

= $(7.80 × 3)

[On multiplying]

= $23.40

Hence,

The required cost of 3 cakes is $23.40 (Ans)

3 0

1 year ago

Read 2 more answers

Find the x-intercepts of f(x) = x2 + 7x + 10.

Andrej [43]

Answer:

x = - 5, x = - 2

Step-by-step explanation:

Given

f(x) = x² + 7x + 10

To find the x- intercepts let f(x) = 0, that is

x² + 7x + 10 = 0 ← in standard form

(x + 2)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 5 = 0 ⇒ x = - 5

The x- intercepts are (- 5, 0) and (- 2, 0 )

6 0

2 years ago

Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$

$2,625$

We now then divide the total amount with 7.

$\dfrac{2,625}{7}$

= 375

The total value did NOT return a decimal point, therefore making the equation true. $5^{5}-5^{4} +5^{3}$ IS divisible by 7.

$7^6+7^5-7^4$ by 11

$117,649+16,807-2,401$

$134,456-2,401$

$132,055$

We now then divide the total amount with 11.

$\dfrac{132,055}{11}$

= 12,005

The total value did NOT return a decimal point, therefore making the equation true. $7^6+7^5-7^4$ IS divisible by 11.

Last but not the least:

$5^{23}-5^{21}$ by 24

$11,920,928,955,078,125-476,837,158,203,125$

$11,444,091,796,875,000$

We now then divide the total amount with 24.

$\dfrac{11,444,091,796,875,000}{24}$

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. $5^{23}-5^{21}$ IS divisible by 24.

5 0

2 years ago

Please explain to me how 3.2÷4=0.8 is done

DedPeter [7]

To make it easier just assume there is no decimal point then just work out the 32÷4 where we know that 4 goes into 32 8 times so you get 8 remember the decimal point and since it was one decimal place you will push the decimal over to the left of 8 and that is how you get 0.8

4 0

2 years ago

Read 2 more answers