Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? –7g4 + 4g3 – 3g2 + 5g – 3 –4g4 – 3g3 + 4g2 + 5g + 3 –4g4 + 4g2 + 14g – 6 –3g4 + 14g – 6

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

[tex]f[g(x)]=16x^2+8x-1[/tex]

[tex]g[f(x)]=4x^2-7[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^2 - 2[/tex]

[tex]g(x) =4x + 1[/tex]

[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):

[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]

[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):

[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]

The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]

Then the formula will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

P = $5000

r = 0.0052

n = 60

Then we have

[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]

More about the monthly payment link is given below.

https://brainly.com/question/14064255

Answer:

16.2

Step-by-step explanation:

just divide the circumference by 3.14

Answer:

diameter= 16.2338

Step-by-step explanation:

D = C/π

=> D = 51/3.14

D = 16.2338

D = 16.2

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

I think this is correct because the linear function grows at a constant rate so the point where the exponential function's line starts going up faster means that the growth rate is increasing. At the point (1.79,7.17) is when both lines intersect but the exponential function is growing at a faster rate than the linear function.

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

Answer:

I`m not really sure what i`s asking to solve but here`s my best answer.

5x + 3 - 5.70 = 2x + 10y + 3.60

3x + 3 - 5.70 = 10y + 3.60

3x + 3 = 10y + 9.30

3x = 10y + 6.30

^^^That`s the most it can be simplified without any new fractions or decimals

3x = 10y + 6.30

x = 3.33y + 2.10

^^^That`s the most it can be simplified to solve for x.

Step-by-step explanation:

hope you have a great day going so far today

Answer:

I decided to use the actual formula this time and got 25.7

Step-by-step explanation:

first we find the length of the arc of bca

360-65

so its 295

then after I use the arc length formula which is

x/360 times 2(pie)r

295/360 times 2(pie)5

295/360 times 31.4159

9267.6983/360 (I multplied 295 and 31.4159)

Then we divide and get

25.743

Answer:

x = (-7.5,0)

y = (0,5.5)

Step-by-step explanation:

y = the vertical line

x = horizontal line

along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers

hope the helps :))

If the value of n is a positive integer then the first term is always positive. Then the correct option is C.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

The binomial expression is given (a – b)ⁿ.

If the value of the n is positive then the condition will be

There is a negative sign between a and b so it is impossible to have all the terms positive as well as negative.

But the first term will always be positive.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

Answer:c

Step-by-step explanation:

edge 2022 slay

Step-by-step explanation:

here

=(81x^12/3x^3)1/3

=(3^4.x^12/3.x^3)1/3

=(3^4-1.x^12-3)1/3

=(3^3×1/3.x^9×1/3)

=3×x^3

Answer:

6

Step-by-step explanation:

PLS GIVE ME BRAINILIEST!

Answer:

C

Step-by-step explanation:

3(7x)=21x

-2(4-x)= -8+2x

21x-8+2x=23x-8

The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color

From the question, we have the following parameter:

Group, n = 3

The probability of selecting a group is:

p = 1/3

This means that the simulation tool to select must have a probability value of 1/3

From the question, the option (d) has a probability of 1/3

This is so because, we have:

So, the probability of selecting each color is 4/12 or 1/3

Hence, the simulation tool to use is (d)

Read more about probability at:

https://brainly.com/question/251701

Answer:

a bag containing 12 chips in three different colors, with four of each color

and i think

a six-sided number cube

Step-by-step explanation:

plato?

Answer:

diameter = 400 m

Step-by-step explanation:

Perimeter of circle = pi * d

 400 pi                  = pi * d

d = 400 meters  

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

Answer:

l = 14 inches , b = 6 inches

Step-by-step explanation:

multiply length l and breadth b by the scale factor , then

new length = [tex]\frac{2}{5}[/tex] × 35 = 2 × 7 = 14 inches

new breadth = [tex]\frac{2}{5}[/tex] × 15 = 2 × 3 = 6 imches

Answer:

1/10

Step-by-step explanation:

(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000

1³ = 1

10³ = 10000

so the answer is 1/10

or think of it like ∛ (1/1000) = 1/10

Answer:

4%

Step-by-step explanation:

You can use the formula below to find the simple interest rate.

Simple interest = P r t / 100

Here,

P ⇒ Principle ⇒ $ 5000

r ⇒ rate ⇒ ??

t ⇒ time ⇒ 6 years

simple interest ⇒ $ 1200

Let us find it now.

Simple interest = P r t / 100

1200 = 5000 × r × 6 / 100

1200 × 100 = 30000r

120000 = 30000 r

Divide both sides by r.

4 = r

Therefore, the interest rate is 4%

Answer:

3

Step-by-step explanation:

(-15) + 18 = 3

We can check our answers by adding 15 to 3 when doing inverse operations.

Answer:

3

Step-by-step explanation:

-15 + 18 = 3

Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

Answer:

30.8666666666666...(repeating 6)

Step-by-step explanation:

46.3/1.5=30.8666666666....

Answer:

A

Step-by-step explanation:

BD = 12

BC = 12/2 => 6

using Pythagoras theorem

AB² = AC² + BC²

AB² = 3² + 6²

AB² = 9 + 36

AB² = 45

AB = √45 (A)

slope: 4/5 is a positive slope

The picture below shows some examples of equation with positive slope.

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Positive slope: rise from left to right

[tex]m[/tex] is a positive number

[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]

Negative slope: fall from left to right

[tex]m[/tex] is a negative number

[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]

Zero slope: horizontal line

[tex]m=0[/tex]

[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]

Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)

Infinite slope: vertical line

[tex]m= \infty[/tex]

[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

There is no change in x-values for a vertical line, so:

[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]

We also usually call the slope of this line undefined.

Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)

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

Attached graph:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line

Answer:

X=-8,Y=-8.5

Step-by-step explanation:

just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.

Answer:

Option 2

Step-by-step explanation:

Divide the co efficient of 'x' by 2 and the square the result.

14 ÷2 = 7

7² = 49

To make it a perfect trinomial, 49 should be added

x² +14x + 49 = x² + 2*x *7  + 7²        {Compare with a²+ 2ab + b² = (a +b)²}

                   = (x +7)²

Answer:

given,

area= 756cm^2

h = 18cm

a = 39cm

then,

area = (a+b)h/2

756 = (39+b)18/2

756= 351+9b

756-351= 9b

405 = 9b

405/9= b

b = 45cm