hello. please answer this question, I WILL mark brainliest :)

Answer:

[tex] \large \boxed{f(8) = 27}[/tex]

Step-by-step explanation:

Goal

Given

[tex]f(x) = \frac{1}{2} {x}^{2} - ( \frac{1}{4} x + 3)[/tex]

Step 1

[tex]f(8) = \frac{1}{2} {(8)}^{2} - ( \frac{1}{4} (8) + 3)[/tex]

Step 2

[tex]f(8) = \frac{1}{2} (64) - ( \frac{8}{4} + 3) \\ f(8) = 32 - ( \frac{2}{1} + 3) \\ f(8) = 32 - (2 + 3) \\ f(8) = 32 - (5) \longrightarrow 32 - 5 \\ f(8) = 27[/tex]

Hence, the value of f(8) is 27.

9514 1404 393

Answer:

  105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

  V = LWH

  V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

  V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

  it will take 105 minutes to fill 3/4 of the terrarium

Answer:

Step-by-step explanation:

iF we have a normal distribution then the probability is 95.45%.

Answer:

Step-by-step explanation:

New price = (1 + 5%) x old price

New price = 1.05 x old price

old price = 2.3 / 1.05

Old price = £2.19

9514 1404 393

Answer:

  £46

Step-by-step explanation:

The increase is ...

  0.05 · price = £2.30

Multiplying by 20 gives ...

  price = 20(£2.30) = £46.00

The price of the ticket before the increase was £46.00.

Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

Answer: 16

Step-by-step explanation:

Rephrase the expression

2a divide by 5

2a/5

Given value

a=40

Substitute the value into the expression

 2a/5

=2(40)/5

=80/5

=16

Hope this helps!! :)

Please let me know if you have any questions

Answer:

When dividing two fractions, the process is very easy.  You simply multiply the numerator fraction by the reciprocal of the denominator fraction.  In other words:

[tex]\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}[/tex]

Answer:

We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.

Step-by-step explanation:

Answer:

a- 320 and b- 20

Answer: Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Step-by-step explanation:

Let the number of hours that Danielle used in driving to be represented by x.

Since Jamal drives 3 times the hours that Danielle does. This will be:

= 3 × x = 3x

Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:

x + 3x = 8

4x = 8

x = 8/4

x = 2

Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Answer:

Parallel lines have the same slope. Because the functions \displaystyle f\left(x\right)=2x+3f(x)=2x+3 and \displaystyle j\left(x\right)=2x - 6j(x)=2x−6 each have a slope of 2, they represent parallel lines. Perpendicular lines have negative reciprocal slopes. Because −2 and \displaystyle \frac{1}{2}

2

1

are negative reciprocals, the equations, \displaystyle g\left(x\right)=\frac{1}{2}x - 4g(x)=

2

1

x−4 and \displaystyle h\left(x\right)=-2x+2h(x)=−2x+2 represent perpendicular lines.

Answer:

Intercepting.

Step-by-step explanation:

The line x=10 is a straight vertical line going through all the points where x=10, as the equation suggests.

The line y=10 is a horizontal line going through all the points where y=10.

When you graph them, they intersect in a perfect cross.

Please refer to the above attachment

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

______________________________

(I have included the graph below)

So your answer is only [tex]\bold{(-2\frac{1}{3},\frac{1}{3})}[/tex].

______________________________

Answer:

I believe it is the last one

Step-by-step explanation:

Answer:

(-2,3)

Step-by-step explanation:

Given data

the system of linear equation is presented as

3x+5y=9-----1

2x+3y=5-----2

solve simultaneously

3x+5y=9-----1  X 2

2x+3y=5-----2  X3

subtracting 2 from 1

 6x+10y=18

-6x+9y=15

0x+y=3

y= 3

put y= 3 in 1

3x+5(3)=9-----1

3x+15=9

3x= 9-15

3x= -6

x= -6/3

x= -2

Hence the ordered pair is (-2,3)

Answer:

expression:  (30/t) - 10

evaluation:  30/2 - 10 = 5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Cuz if u substitute (3,-3/2) it would work

Y = 1/2x - 3

-3/2 = 1/2(3)-3

-3/2 = 1.5 - 3

-3/2 = -1.5

& -3/2 is -1.5 as a decimal lol

Answer:

No solution

Step-by-step explanation:

Answer:

construction workers uses those measurements for buildings and architects

Answer:

rational...bcz it can be written in the form of p/q

that's 15/100

it is rational number

Step-by-step explanation:

plz make me brainliest

Answer:

22

Step-by-step explanation:

15/3= 5

25+2=27

27-5= 22

Hope this helps

Answer:

2(4x+3)

Step-by-step explanation:

We need to find what is the most common between 8x and 6. The only number here is 2 that is common between them.

That will be on the outside of the bracket.

So if we divide 2 from both terms.

8x ÷ 2 = 4x

6 ÷ 2 = 3

Let's put it all together.

2 first.

Our x term and 3 in brackets.

2 (4x+3)

There we go!

Answer:

1,and 4

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Because an expression to be equivalent they should both have same sign and Variables

Answer:

34.8°

Step-by-step explanation:

sin x = 8/14 = 4/7

x = arcsin (4/7) = 34.8°

Answer:

sorry i cant read it

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the subway is 900 miles.

So if 1 inch is 45....we want to find it for 900 miles

900/45 = 20

So it will be 20 inches for 900 miles

Check by using ratio

1 : 45

2 : 90

3 : 135

4 : 180

5 : 225

6 : 270

7 : 315

8 : 360

9 : 405

10 : 450

11 : 495

12 : 540

13 : 585

14 : 630

15 : 675

16 : 720

17 : 765

18 : 810

19 : 855

20 : 900

1 - 20 = inches

45 - 900 = miles

So for 900 miles, it will be 20 inches long

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

y = 6 - 2x

6 - 2 X 0 = 6

6 - 2 X 1 = 4

6 - 2 X 2 = 2

6 - 2 X 3 = 0

6 - 2 X 4 = -2

6 - 2 X 5 = -4

Step-by-step explanation:

A = midpoint so the left line = right line

3x = 5x - 6

5x - 6 = 3x

5x - 3x = 6

2x = 6

x = 3