Brainliest if correct

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]

Answer:

$5.02

Step-by-step explanation:

The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.

Equations to use:

[tex]\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}[/tex]

The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:

[tex]\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175[/tex]

The unpaid balance is "last month's balance", which is $385.

Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:

[tex]\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}[/tex]

Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:

[tex]\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}[/tex]

Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:

[tex]\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}[/tex]

Therefore, the current month's finance charge is $5.02 to the nearest cent.

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:

  f(x) = x^3

Step-by-step explanation:

To identify the parent function, replace any added constants with 0, and replace any constant multipliers with 1. Doing that gives you ...

  f(x) = 1·x^3 -0

  f(x) = x^3 . . . . . . the parent function

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

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

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:

-2 ,1

Step-by-step explanation:

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

Step-by-step explanation:

1 m (meter) is 100 cm (centimeters).

so, 7 m is 700 cm.

each piece is r × 2.54 cm long (as every inch is 2.54 cm).

so,

number of pieces = 700 / (r × 2.54)

The number of species can find by expression is

700 / (r × 2.54)

We have given that

Sophia has 7 m of ribbon

she will cut pieces of ribbon that are each r inches long.

We have to calculate the number of pieces of ribbon that she will have

What is the value of 1 meter in cementer?

1 (meter) =100 (centimetres).........(1)

multiply both side by 7

7 m is 700 cm.

each piece is

r × 2.54 cm long ..................(as 1 inch is 2.54 cm).

so,

[tex]number of pieces = 700 / (2.54r)[/tex]

Therefore the number of species can find by expression is

700 / (r × 2.54)

To learn more about the expression visit:

https://brainly.com/question/723406

Answer:

maybe 5,5-6 foot. don't really keep track I just know they are almost as tall as me

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:

Step-by-step explanation:

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

Answer:It’s A: Population.

Step-by-step explanation:

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:

Evaluate each expression:

Answer:

5 = 10

6 = 13

7 = 5

8 = 17

Step-by-step explanation:

5.

1: simplify

[tex]\sqrt{8^2+6^2}[/tex]

2: take both to power

[tex]\sqrt{64+36}[/tex]

3: sqrt

[tex]\sqrt{100} = 10[/tex]

6.

1: simplify

[tex]\sqrt{5^2+12^2}[/tex]

2: take both to power

[tex]\sqrt{25+144}[/tex]

3: sqrt

[tex]\sqrt{169} = 13[/tex]

7.

1: simplify

[tex]\sqrt{4^2+3^2}[/tex]

2: take both to power

[tex]\sqrt{16+9}[/tex]

3: sqrt

[tex]\sqrt{25} = 5[/tex]

8.

1: simplify

[tex]\sqrt{15^2+8^2}[/tex]

2: take both to power

[tex]\sqrt{225+64}[/tex]

3: sqrt

[tex]\sqrt{289} = 17[/tex]

Answer:

A

Step-by-step explanation:

because

Answer:

Step-by-step explanation:

(7/10 + -3)/(2 + 1/4)

(7/10 - 30/10)/(8/4 + 1/4)

(-23/10)/(9/4)

-2.3/2.25

-0.46/0.45 or -1.02 approximately

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

[tex]\frac{74}{45}[/tex]

Decimal Form:

−1.64

Mixed Number Form:

−1 [tex]\frac{29}{45} \\[/tex]

Step-by-step explanation:

branliest

Answer:

1. b

2. a

3. a

Step-by-step explanation:

1. the answer is x=7

2 and 3 answer is x = R which isn't really a real solution

Answer: it is right same exact test i did

Answer:

130 in will be the correct answer

f(x)=12x-8

f(-7)=12(-7)-8

f(-7)= -84-8

f(-7)= -92

Answer:

Step-by-step explanation:

We know that, when combining 2q + 8q we'll get → 10q

1) q • 10 (Nope)

2) 10q (yes, It's equivalent)

3) q +9q (combine) → 10q (yes, It's equivalent)

4) q + q+ 8q (combine) → 10q ( yes, It's equivalent)

So therefore, 10q , q +9q, q + q+ 8q are expressions equivalent to 2q + 8q..

~

Hope this helps!

Answer: 1/3

Step-by-step explanation:

The scale factor is 1/3 because each side of figure B is 1/3 the magnitude of figure A.

Answer:

if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus

Step-by-step explanation:

a = ½bh

a = ½ × 3 × 6

a = ½ × 18

a = 9 in²

Answer:

18in

Step-by-step explanation:

6×3=18

hope its help