Evaluate the following function f(x) = x²-20 for f(5)

Answer:

Step-by-step explanation:

dilating an equation means you multiply it by constant a

y=x the  y=ax after dilation (a=2)

y=x

If it is then moved three units up: means you add constant b (b=3)

Answer:

y=2x+3

Step-by-step explanation:

Answer: C) 50x

Step-by-step explanation:

Answer:

180-6x=x+8     =24 57/100

Step-by-step explanation:

I think this is correct, maybe. (It made sense in my head).

Answer:

no

Step-by-step explanation:

it doesnt pass the vertical line test -60 has 2 values

Answer:

A) 1/64

B) 1/4096

C) 1/64 = 2^(-6)

D)$244.140625 left.

Step-by-step explanation:

We are told that Joan decides to give $1000000 of her winnings to charity.

Now in January she gave ½ of the winnings to charity.

Which means she gave out;

½ × 1000000 = $500000

So she has left; 1000000 - 500000 = $500000

In February, she gives out ½ of what she has left.

Thus, ½ × 500000 = $250000

So at end of February she has $250000 left

At the end of March, she will have left;

250000 × ½ = $125000

At end of April, she will have left;

125000 × ½ = $62500

At end of May, she will have left;

62500 × ½ = $31250

At end Of June, she will have;

31250 × ½ = $15625

At end of July, she will have; 15625 × ½ = $7812.5

At end of August, she will have;

7812.5 × ½ = $3906.25

At end of September, she will have;

3906.25 × ½ = $1953.125

At end of October, she will have;

1953.125 × ½ = $976.5625

At end of November, she will have;

976.5625 × ½ = $488.28125

At end of December, she will have;

488.28125 × ½ = $244.140625

A) At end of 6 months which is end June, she will have $15625 left.

Thus, fraction left out of initial money is; 15625/1000000 = 1/64

B) At end of 12 months which is end of December, she will have $244.140625 left.

Thus, fraction left out of initial money is; 1/4096

C) For option A, writing it as a power of 2 with a negative exponent.

First of all 64 = 8²

We know that 8 = 2³

Thus 64 = 2^(6)

Thus; 1/64 = 1/(2^(6)) = 2^(-6)

D)At end of the year which is end of December, she will have $244.140625 left.

Answer:

Width = 24 feet

Length = 47 feet

Step-by-step explanation:

Given:

Perimeter of rectangular sports court = 142 feet

Assume;

Length = l

Width = b

So,

6l + 9b = 498 feet.......Eq1

Perimeter of rectangular sports court = 142 feet

2l + 2b = 142

l + b = 71

l = 71 - b

From Eq 1

6l + 9b = 498

6[71 - b] + 9b =498

426 - 6b + 9b = 498

b = 24

Width = 24 feet

l + b = 71

l + 24 = 71

l = 47

Length = 47 feet

Answer:

Yes because they both have a right angle

Step-by-step explanation:

Answer:

The possible values of the width of ledge w are 2 in, 4 in, 6 in, 8 in, 10 in, 12 in, 14 in, 16 in, 18 in, 20 in, 22 in.

Step-by-step explanation:

Since the area of he pit and width of ledge are in a circular pattern, the area of the pit + ledge is given by

A = π(R² - r²) where R = distance from center of pit to outer part of ledge and r = radius of pit.

Since diameter of pit = 16 in, radius of pit, r = 16 in/2 = 8 in.

Also, the maximum area of the pit and ledge is 2826 in². So, A = 2826 in²

Since A = π(R² - r²)

R = √(A/π + r²)

substituting th values of A and r into R, we have

R = √(2826 in²/π + (8 in)²)

R = √(899.54 in² + 64 in²)

R = √963.54 in²

R = 31.04 in

R ≅ 31 in

Now, the maximum width of the ledge w = R - r = 31 - 8 = 23 in.

Since the width of each brick is 2 in, the width of the ledge must be in multiples of 2. Since the maximum width of the ledge is 23 in, we divide it by 2 in to know how many bricks are required for the width of the ledge.

So, number of bricks = 23 in/2 in = 11.5 ≅ 12

So, we require from 1 to 12 bricks to have a minimum to maximum width of ledge.

Since the width of ledge = no of bricks × width of brick

So, the possible values of w are 1 × 2 in, 2 × 2 in, 3 × 2 in, 4 × 2 in, 5 × 2 in, 6 × 2 in, 7 × 2 in, 8 × 2 in, 9 × 2 in, 10 × 2 in, 11 × 2 in

So, the possible values of the width of ledge w are 2 in, 4 in, 6 in, 8 in, 10 in, 12 in, 14 in, 16 in, 18 in, 20 in, 22 in.

We do not include 24 in since the maximum width of the ledge is 23 in.

178-x=?

This expression is the answer

No they are not the same

This is because 7^(-2) = 1/(7^2) = 1/49

The general rule is x^(-y) = 1/(x^y)

Answer: m= 2/3

Step-by-step explanation: 2/9m - 1/9 + 1/9 = 1/18m + 1/9

Simplify--- 2/9m = 1/18m + 1/9

Subtract 1/18 from both sides--- 2/9m - 1/18m = 1/18m + 1/9 - 1/18m

Simplify--- 1/6m = 1/9

Multiply both sides by six---- 6 x 1/6m = 1 x 6 divided by 9

Simplify--- m=2/3

Answer:

6

Step-by-step explanation:

5x-3y=-9

   +3   +3

5x-y=-6?

-5      -5

x-y=-11

hope it helps!

I'm sorry if it is wrong cuz I'm kind of confused myself...

Answer:

10 tickets

Step-by-step explanation:

25 + 5x = 35 + 4x

solve for x:

subtract 25 from both sides...

5x = 35 - 25 + 4x

subtract 4x from both sides...

5x - 4x = 10

x = 10, 10 tickets.

Answer:

No, he does not.

Step by step explanation:

He does not beacause he will only be able to walk 4 miles 6 - 4 = 2

Answer:

y =  ( c-ax)/b

Step-by-step explanation:

ax + by = c

Subtract ax from each side

ax-ax + by = c-ax

by = c-ax

Divide each side by b

by/b = ( c-ax)/b

y =  ( c-ax)/b

Answer:

[tex](x+1)^2(x-3)[/tex]

Step-by-step explanation:

Use the rational root theorem

Hi There!!

It's a factor, So the answer yes.

Step-by-step explanation:

Because, Factor [tex]x^3 - x^2 - 5x - 3[/tex] using the rational roots test.

If a polynomial function has integer coefficients, then every rational zero will have the form  [tex]\frac{p}{q}[/tex]  where  p  is a factor of the constant and  q  is a factor of the leading.

Coefficient

[tex]p =[/tex] ±[tex]1,[/tex] ±[tex]3[/tex]

[tex]q = +1[/tex]

Find every combination of  [tex]+\frac{p}{q}[/tex] . These are the possible roots of the polynomial function.

Substitute [tex]-1[/tex]  and simplify the expression. In this case, the expression is equal to [tex]0[/tex] so [tex]-1[/tex] is a root of the polynomial.

Since [tex]-1[/tex] is a known root, divide the polynomial by [tex]x - 1[/tex] to find the quotient polynomial. This polynomial can then be used to find the remaining roots.

[tex]x^3 - x^2 - 5x - by[/tex] [tex]x + 1.[/tex]

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

[tex]x + 1[/tex]

Divide [tex]x^3 - x^2 - 5x - 3[/tex] by [tex]x + 1[/tex].

[tex]x^2 - 2x - 3[/tex]

Write [tex]x^3 - x^2 - 5x - 3[/tex] as a set of factors.

[tex](x + 1) (x^2 -2x - 3)[/tex]

Factor [tex]x^2 - 2x - 3[/tex] using the AC method.

[tex](x + 1) (x- 3) ( x+ 1)[/tex]

Remove unnecessary parentheses.

[tex](x + 1) (x- 3) ( x+ 1)[/tex]

So, Your best answer is [tex](x + 1) (x- 3) ( x+ 1)[/tex]

[tex]GoodLuck!![/tex]

#[tex]Be[/tex] [tex]Bold[/tex]

# [tex]Always[/tex] [tex]Brainly![/tex]

[tex]_{Loserbrazts}[/tex]

(╹ڡ╹ )

Answer:

(-1,4)

Step-by-step explanation:

Answer:

The slope is −4 . The equation is in slope-intercept form, y=mx+c , where m is the

Step-by-step explanation:

thanks me

Step-by-step explanation:

volume = pi x radius² x height

okay so the cylinders diameter is 8 inches

diameter divided by 2 is radius so 8/2 = 4

so 3 times the radius will be 3x4 = 12

use the formula above and then you will get your answer

Answer:

c=39

Step-by-step explanation:

4+2=6

To remove square root you have to square everything making the 6 a 36 and then add 3. At the end it is a 39.

Answer:

112.5  hope this helped

Step-by-step explanation:

Answer:

Option (d) is correct.

Step-by-step explanation:

Given that,

The wholesale price of a pen is $15.

It then marks up the price by 94%.

Its marked price is equal to 94% of $15. So,

[tex]\text{MP}=\dfrac{94}{100}\times \$15\\\\\text{MP}=\$14.1[/tex]

Selling price of the highlighter pen is equal to the sum of marked price and the wholesale price.

SP = $14.1+$15

SP = $29.1

Hence, the marked price is $14.1 and the selling price is $29.1

Answer:

X=-3

Step-by-step explanation:

Answer:

x=−3 is the answer

Answer:

The sum of three consecutive integers is -72

Step-by-step explanation:

Answer:

The fraction of fish in Elena’s tank that are red guppies = 3/14

Step-by-step explanation:

The best way to go about this is to select an arbitrary value for the number of fishes in the tank.

Let the total number of fishes in the tank be 84.

Now out of this 85, 1/2 are guppies

The number of guppies fish = 1/2 * 84 = 42

Now, 3/7 of the guppies are red

The number of red guppies is thus 3/7 * 42 = 18 guppies

So the fraction of fishes in the tank which are red guppies will be ; 18/84 = 3/14

Answer:

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency

Step-by-step explanation:

The proof of congruency of the two triangles is as follows;

Statement [tex]{}[/tex]                                                                    Reason

Segment DM is congruent to Segment TM [tex]{}[/tex]              Given

Segment AM is congruent to Segment UM [tex]{}[/tex]              Given

∠DMA is congruent to ∠UMT [tex]{}[/tex]                                    Given

Therefore, ΔDAM is congruent to ΔTUM [tex]{}[/tex]                  SAS rule of congruency

Where;

SAS =  Side Angle Side  

Therefore;

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.

Answer:

△ DAM ≅△TUM  by reason SAS