Please help!
Simplify the expression. Show all steps to simplify the expression.

Answer:

[tex]x=\pm \sqrt{\frac{y-c}{a}}[/tex]

Step-by-step explanation:

[tex]y=ax^2 + c \\ \\ ax^2 =y-c \\ \\ x^2=\frac{y-c}{a} \\ \\ x=\pm \sqrt{\frac{y-c}{a}}[/tex]

Answer:

7/4≤x ≤-1

Step-by-step explanation:

Given the set of inequalities

−5x−3≥2 and 4x−2≥5

We are to write the solution in interval notation. We need to solve them individually first as shown;

For −5x−3≥2

add 3 to both sides

−5x−3+3≥2+3

-5x ≥5

divide both sides by -5 (note that dividing by a negative value will change the sense of the inequality sign)

-5x/-5 ≤5/-5

x ≤ -1

For the inequality 4x−2≥5;

add 2 to both sides

4x−2+2≥5+2

4x≥7

divide both sides by 4;

4x/4 ≥ 7/4

x≥7/4 or 7/4≤x

Combining 7/4≤x and x ≤ -1, the solution in interval notation is expressed as 7/4≤x ≤-1

Answer:2 x^2 + 7 x + 15

Step-by-step explanation:

Answer:

-2x^2-7x-5 or -(x+1)(2x+5)

Step-by-step explanation:

We combine -2x and 5x which becomes a -5x equaling to -7x

And then we add -10 and 5 to get -5.

The number of different ways the agent can telephone the prospects = 1020

In this question, an insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow.

We need to find the number of different ways the agent can telephone the prospects.

We use the formula of permutation.

^n(P_r) = n! / (n - r)!

where n! = n × (n - 1) × (n - 2) × . . . × 1

For this question, n = 7

The number of different ways the agent can telephone the prospects today.

We use r = 3

^7n(P_3)

= 7! / (7 - 3)!

= 210

And the number of different ways the agent can telephone the prospects tomorrow.

We use r = 4

^7n(P_4)

= 7! / (7 - 4)!

= 810

so, the number of different ways the agent can telephone the prospects = 210 + 810

= 1020

Therefore, the number of different ways the agent can telephone the prospects = 1020

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Answer:

b) -8

c) 11

d) {x is a member of all real numbers | except for 2}

Answer:

(a) Choice C is correct

(b) f(x) = -8  Point is (1, -8)

(c) x =11  Point is at (11,2)

(d) Domain of f is x is [tex]\:x < 2\quad \mathrm{or}\quad \:x > 2\:[/tex]  
    In interval notation [tex]\:\left(-\infty \:,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]

(e)  x intercept is at x = -7

(f) y-intercept is at [tex]-\frac{7}{2} = -3.5[/tex]

Step-by-step explanation:

(b) Plug in x = 1 into the equation [tex]\:\:\frac{x+7}{x-2} = \frac{1+7}{1-2} = \frac{8}{-1} = -8[/tex]

(c) If f(x) = 2 then we get [tex]2 = \:\:\frac{x+7}{x-2}[/tex]  

==> 2(x-2) = x + 7

==>   2x - 4 = x + 7

==> 2x - x = 7 +4 =11

==>  x = 11

(d) Domain of f is all values of x -∞ < x < ∞ except at x = 2 since at x = 2 the denominator is 0 and division by zero is undefined; So we can say the domain is x < 2 or x  >2

(e) To get the x-intercept set y = 0 and solve for x
We get (x+7)/(x-2) = 0

x+7 = (x-2)(0) = 0

x = -7 and the x intercept is at point (-7, 0)

(f) [tex]y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0[/tex]

Substitute for x = 0 to get y = (0+7)/(0-2) = -7/2

The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).

In accordance with geometry, three points are collinear if and only if these points lie on the same line. Then, the geometric system is represented by the following model:

AC = AB + BC

If we know that AB = x + 4, BC = 2 · x - 1 and AC = 4 · x - 7, then the value of x and the lengths of the line segments are, respectively:

4 · x - 7 = (x + 4) + (2 · x - 1)

4 · x - 7 = 3 · x + 3

x = 10

AB = 10 + 4

AB = 14

BC = 2 · 10 - 1

BC = 20 - 1

BC = 19

AC = 4 · 10 - 7

AC = 40 - 7

AC = 33

The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).

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Answer:

The answer is 4/5

The rating shows the quality and performance of the album.

A review or assessment of something in terms of quality, quantity, or a mix of the two is called a rating. A rating is something that indicates the performance or quality of anything. If the rating is higher then it is superior and if it is lower then it is poorer.

Given ratings are 9.6, 9.8, 7.2, 6.4, 10.0, 8.9, 5.0, 9.8, 9.4, 6.8. In the given ratings the highest rating is 10 which means that it is of superior quality and the lowest rating is 5 which means that the quality is poorer.

Therefore, the rating shows the quality and performance of the album.

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Answer:

h(x=8x)2x

dhhdndjeibdhxhdhsjzujdhdhxhdhhxbdnsj djjdndbzhhx

The gas tank holds 60 quarts.

What is quarts?

The quart is an English volume unit equivalent to one-quarter gallon. There are now three types of quarts in use: the liquid quart and dry quart of the US customary system, as well as the imperial quart of the British imperial system. All of them are essentially equivalent to one liter. It is split into two pints or four cups (in the United States). The exact size of the quart has historically fluctuated with the varying values of gallons over time and in relation to different commodities.

1 US gallon = 4 US quarts

so, 15 US gallons = 15 x 4 = 60 quarts

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Answer:

10^6

Step-by-step explanation:

Comment

1 second = 10^5computations

10 seconds would result in10*10^5 computations

10^1*10^5 = 10^(1 + 5) = 10^6

f(x) = √5x - 7+10  = ( 0, 3) ( -0.6 , 0 ) are graph value .

What does a graph's value represent?

What are the names of the values on a graph?

On f(x) = √5x - 7+10  = ( 0, 3) ( -0.6 , 0 )

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Step-by-step explanation:

He added 8 to each number on the left column to get the number on the right column

So that

X 1, 2, 3, 4, 5, 6,

Y 1+8 = 9

Y 2 + 8 = 10

Y 3+8 = 11

Y 4 + 8 = 12

Y 5 + 8 = 13

Y 6 + 8 = 14

Answer:

6.47

Step-by-step explanation:

all you have to so is count the number of black lines between 6.4 and 6.5. since there are 7, you add 0.07 to 6.4

6.4

+0.07

---------

6.47

Answer:

L = 32

W = 8

Step-by-step explanation:

Set it up algebraically:

A = L x W

A = 40 m^2

L = 4w

40 = 4w x w

40 = 5w

40/5 = 5w/5

W = 8

L = 4(8)

L = 32

The values of a and b are 8 and 54 respectively

The given parameters are:

WVY= 4a + 58

XVY = 2b - 18

From the question, we understand that WX is perpendicular to YZ

This means that

WVY= 90

XVY = 90

So, we have

4a + 58 = 90

2b - 18 = 90

Solve for a in 4a + 58 = 90

4a = 90 - 58

Evaluate

4a = 32

Divide by 4

a = 8

Solve for b in 2b - 18 = 90

2b = 90 + 18

Evaluate

2b = 108

Divide by 2

b = 54

Hence, the values of a and b are 8 and 54 respectively

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Step-by-step explanation:

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.

You didn't show her answer so I don't know her mistake, but you round to the nearest hundredth by looking at the ten's value, if it's a 5 or greater, add one to the hundredths digit. If its lesser than five, leave the hundredth place.

Ex. Rounding 1,567. Because the tens digit is a 6, you round the 5 up to a 6 and get rid of the tens and one digit. 1,567 rounds to 1,600

Ex. Rounding 1,445. Because the tens digit is a 4, you leave the hundredths digit and get rid of the rest. 1,445 rounds to 1,400.

Hope this helps!

Answer:

привет как вы это t6767

Step-by-step explanation:

Answer:

Important note: "of" means to multiply!
22% of 150 is 33

Step-by-step explanation:

[tex]Y = P\% \times X\\Y = 22\% \times 150\\P = 22\%\div100 = 0.22\\Y = 0.22 \times 150\\Y = 33[/tex]

Hope this helps!

The Algebra of Functions

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Answer: 15-2x

Step-by-step explanation:

h(f(x)) means  you have to write equation in f(x) to every x you see in h(x) which is,

h(f(x))=5-2x+4=9-2x

if we need h(f(x-3)) we will take x as x-3 so,

h(f(x))=15-2x

The elevation of city D is 1 over 4 of the elevation of city C.

The answer is negative as it is the result of the product of positive and negative numbers.

Answer:

x>10000

Step-by-step explanation:

The true statement about the relation is both the relation and the inverse are functions

The equation of the relation is given as

f(x) = 1/3x + 5

The above equation is a linear relation

A linear relation is a function.

Also, the inverse of the linear relation is a function.

Hence, the true statement about the relation is both the relation and the inverse are functions

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Correct answer is D. The statement that shows Sam's purpose for making the investment,  is; Sam wants an investment that offers a higher return than stocks.

Sam desires an investment that delivers a larger return than stocks, which is the phrase that best demonstrates his motivation for making the investment.

Bonds are a sort of investment that may be held for a time in the hopes of earning returns, as is common knowledge. The two most popular forms of investments traded on the stock market are bonds and stocks. Buyers just hold them in the belief that they will generate returns.

Bonds, however, are often safer investments than stocks. In actuality, stocks are a type of investment that is excessively volatile.

Sam desires an investment that delivers a larger return than stocks, which is the phrase that best describes his motivation for making the investment.

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Answer:

Sam wants a steady income from his investment.

Step-by-step explanation:

Got it right on edmentum

Step-by-step explanation:

[tex](a + 2 {y}^{2} )( {a}^{2} - 2a {y}^{2} + 4 {y}^{4} )[/tex]

Choose to use same variables next time to avoid confusions!!!!.

Answer:

2 , 3 , and 6

Step-by-step explanation:

so basically , in 30 60 90 triangles , the long flat side ( GH ) is x square root 3 . the short flat side ( HI ) is x . and the hypotenuse ( opposite of the right angle aka the diagonal line GI ) is 2x . and thats the formula for it so yeah , the second 3rd and last work ! sorry for the wack explaination .

$698.18 of his electricity is deductible

A ratio or figure stated as a fraction of 100 is called a percentage. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.

Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?

Based on the ratio of the office's area to the home's area, this percentage was calculated.

A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.

How much of the $4800 in annual electricity costs for the house is deductible?

deduction =[tex]\frac{office area}{total area}total electric bill[/tex]

d =   [tex]\frac{20.16}{2200}4800[/tex]

d =   [tex]\frac{320}{2200}4800[/tex]

His electricity costs are deductible at d = $698.18

To learn more about $698.18 of his electricity is deductible

A percentage is a number or ratio expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.

Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?

Based on the ratio of the office's area to the home's area, this percentage was calculated.

A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.

How much of the $4800 in annual electricity costs for the house is deductible?

deduction =[tex]\frac{office area}{total area}total electric bill[/tex]

d =   [tex]\frac{20.16}{2200}4800[/tex]

d =   [tex]\frac{320}{2200}4800[/tex]

His electricity costs are deductible at d = $698.18

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Answer:

15

Step-by-step explanation:

x(x + 2) = 27 + 6(x + x + 2)

x^2 + 2x = 27 + 6(2x + 2)

x^2 + 2x = 27 + 12x + 12

x^2 + 2x - 12x - 12 - 27 = 0

x^2 -10x - 39 = 0

(x + 3)(x - 13) = 0

x + 3 = 0

x = -3 (extraneous solution)

x - 13 = 0

x = 13

x + 2 = 15