please help asap!! 20 points
3*f(-4)-3*g(-2)

Given :-

To Find :-

Solution :-

The given expression is [tex] /[/tex]

→ aₙ=43-3(n-1)

where n > 0

Finding the first term :

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

Finding the second term :

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

Finding the third term :

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

Finding the fourth term :

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .

I hope this helps . Let me know if you need further clarification .

Answer:

A)  reflection over the x-axis and a vertical translation down by 5 units

Step-by-step explanation:

Answer:

The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.

Answer:

Y= 9/10x - 1.2 (or 1.3)

Or - 1. 2 is 6/5

Thus, Y= 9/10x - 6/5

Hope this helps!

Answer:

-2 ,1

Step-by-step explanation:

I think its -2, 1 because its in the middle

[tex]\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}[/tex]

[tex]\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill[/tex]

Answer:

m = 93 - h / b

Step-by-step explanation:

bm + h = 93

bm = 93 - h

m = 93 - h / b

Hope it helps ⚜

Answer:

[tex]bm + h = 93 \\ add \: h \: to \: both \: sides \\ bm + h + - h = 93 + - h \\ bm = - h + 93 \\step2 \: \: divide \: both \: sides \: by \: b \\ \frac{bm}{b } = \frac{ - h + 93}{b} \\ m = \frac{ - h + 93}{b} [/tex]

Answer:

A. 23.1

B. 0.3

Step-by-step explanation:

When rounding to one decimal place, look at the next number, (in this case, in the hundredths column) if the number is 5 or above, round up and if it’s four or below, round down

Answer:

i would say the answer is true but I'm not completely sure this is the answer.

Answer:

TRUE

Step-by-step explanation:

The number of years it would take to double his money is 34.7 years.

The formula that can be used to determine time is:

Number of years =  In(FV/PV) / r

Where:

In2 / 0.02 = 34.7 years

To learn more about doubling time, please check: https://brainly.com/question/25770999

An expression can either be an equation or an inequality.

The correct classification of the terms are:

To determine the correct classification, we make use of the following highlights

Hence, the correct classifications are:

Read more about equations and inequalities at:

https://brainly.com/question/22406619

Answer: the answer is Expression; 4x+20

Inequality: 4x+20>40

Equation: 4x+20=40

Step-by-step explanation:

took the test

Answer:

area of shaded: 30 m²

Explanation:

Steps:

Rectangle area: 6 * 10 = 60 m²

Triangle area: (1/2) * 6 * 10 = 30 m² .......this is the area of shaded.

Answer:

30m²

Step-by-step explanation:

Let's derive the area of a triangle

We know the formula for the area of a rectangle:

Here, we can see that the area of the triangle is the rectangle's are divided by 2, or half of the rectangle's area.

Here's the formula for the area of a triangle:

B is the base, the same as the length

H is the height, the same as the width

Solve:

The units is m * m, or m²

Area = 30m²

-Chetan K

Answer:

244

Step-by-step explanation:

Answer:

The answer is B -4

Step-by-step explanation:

Answer:

y=

Step-by-step explanation:

y = 3x - 1

y = 3(12) - 1

y = 36 - 1

y = 35

Answer:

[tex](x-3)(-5x-2)[/tex]

or [tex]-(x-3)(5x+2)[/tex]

Step-by-step explanation:

quadratic equation format: [tex]a^2+b^2+c[/tex]

Therefore, for  [tex]-5x^2+13x+6[/tex],  a = -5, b = 13 and c = 6

Multiply the coefficient of [tex]x^2[/tex] ([tex]a[/tex]) by the constant term ([tex]c[/tex])
[tex]\implies -5 \times 6 = -30[/tex]

Find two numbers which have a product of -30 and a sum of [tex]b[/tex] (13)

Factors of 30:  1 and 30, 2 and 15, 3 and 10, 5 and 6

So -2 and 15 have a product of -30 and sum of 13.

Rewrite  [tex]13x[/tex]  as  [tex]15x-2x[/tex]  and substitute into the equation:

[tex]\implies -5x^2+15x-2x+6[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies-5x(x-3)-2(x-3)[/tex]

The bracket created should always be the same.

The two brackets have now been found. The first bracket is the common factor of (x - 3). The second bracket is the factorized terms outside of each bracket (-5x - 2).

[tex]\implies (x-3)(-5x-2)[/tex]

Additionally, we can write (-5x - 2) as -(5x + 2)

[tex]\implies -(x-3)(5x+2)[/tex]

Answer:

[tex]\frac{20}{9}[/tex] as an improper fraction or [tex]1\frac{2}{9}[/tex] as a mixed number

Step-by-step explanation:

[tex]5*\frac{4}{9}\\ \\\frac{5}{1}*\frac{4}{9}\\ \\\frac{5*4}{1*9}\\\\\frac{20}{9}\\ \\1\frac{2}{9}[/tex]

Answer:

I believe the new price is 203.

Step-by-step explanation:

Answer:

80 squared units.

Step-by-step explanation:

7 × 8 = 56 u squared for the triangles

you don't need to divide by two because there are two triangles.

3 × 8 = 24 u squared for the rectangle

56 + 24 = 80 squared u

Brainliest Appreciated!

Answer:

Slope = -5/8

Step-by-step explanation:

Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).

We are going to use the formula for finding the slope of a line now.

y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8

Slope = -5/8

Answer:

Step-by-step explanation:

As we can see 4+5=9, 9+5=14

Answer: A

Step-by-step explanation:

Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78

Answer:

0.578

Step-by-step explanation:

0.578

Answer:

0.578

Step-by-step explanation:

I'm sorry if this is wrong

Answer:

Step-by-step explanation:

Answer:

5. (x,y) = (2.3)

Step-by-step explanation:

1/2x + 2 = x+1

x = 2

y = 2+1

y = 3

(x,y) + (2,3)

{3 = 1/2 x 2 + 2

{3 = 2 + 1

{3 = 3

{3 = 3

Answer:

  3. no solution

  5. (x, y) = (2, 3)

Step-by-step explanation:

  -5x +y = 1

  -10x +2y = -2

Multiply the first equation by -2 and add the second equation:

  -2(-5x +y) +(-10x +2y) = -2(1) +(-2)

  10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses

  0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION

(The lines graph as parallel lines.)

__

  y = 1/2x +2

  y = x +1

Subtract the first equation from the second:

  (y) -(y) = (x +1) -(1/2x +2)

  0 = 1/2x -1

  0 = x -2

  2 = x

  y = x +1 = 2 +1 = 3 . . . . use the second equation to find y

The solution is (x, y) = (2, 3).

Let x represent the number of calls received on the second evening.

The number of calls received on the first evening is x - 10.

The number of calls received on the third evening is 2x.

The sum of calls received on the three evenings is (x - 10) + x + 2x, and this is equal to 50:

(x - 10) + x + 2x = 50

4x - 10 = 50

4x = 50 + 10

4x = 60

x = 60/4

x = 15

The number of calls received on each evening is then:

First evening: x - 10 = 15 - 10 = 5

Second evening: x = 15

Third evening: 2x = 2(15) = 30

Check: 5 + 15 + 30 = 60

Answer: 80 cm^3

Step-by-step explanation:

I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.

Surface area of a rectangular prism: 2(wl+hl+hw)

 2((2*2)+(9*2)+(9*2))

=2(4+18+18)

=2(40)

=80cm^3

Hope this helped.

The average value of a continuous function f(x) over an interval [a, b] is

[tex]\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx[/tex]

We're given that

[tex]\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4[/tex]

[tex]\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8[/tex]

and we want to determine

[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx[/tex]

By the additive property of definite integration, we have

[tex]\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx[/tex]

so it follows that

[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)[/tex]

[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)[/tex]

[tex]\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}[/tex]