|-3+(-1)|= simply the expression

Answer:

See below.

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+8\text{ and } g(x)=2x-12[/tex]

First, know that:

[tex](f-g)(x)[/tex]

Is the same as:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(4x+8)-(2x-12)[/tex]

Distribute:

[tex]=4x+8-2x+12[/tex]

Combine like terms;

[tex]=2x+20[/tex]

Thus:

[tex]f(g(x))=2x+20[/tex]

This is simply a linear equation.

Thus, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty, \infty)[/tex]

Answer:

It is a linear model

Step-by-step explanation:

The answer choices imply that you can model the relationship between the variables with a line or curve.

find the relevant data points on the scatter plot and draw a line of best fit to visualize this relationship. The line of best fit should be drawn through appropriate points. The only far away point can be ignored. The line of best fit need not pass through the majority of the points.

According to the scatter plot and the line of best fit, it will be seen that as X - variables increases, Y - variable decreases, leading to a strong negative correlation.

The Majority of the data points are fairly close to the line of best fit, which means the correlation is strong.

Answer:

2+9 is 11

so write any expression that equals 11  like...

1+10=11

2+9=11

3+8=11

4+7=11

5+6=11

and those above are all example of expression that is equivalent to 2+9

Answer: C ON EDGE 2021

Step-by-step explanation:

Answer:

x=-1 y=-6

Step-by-step explanation:

i hope that helped

Answer:

idk

Step-by-step explanation:

Answer:

$277,419

Step-by-step explanation:

Relevant Data provided as per the question is

Net amount = 50,000

Closing cost = 8,000

Loan amount = 200,000

Commission percentage = 7%

According to the given situation, the calculation of the minimum contract price is shown below:-

[tex]Minimum\ contract\ price = \frac{(Net\ amount\ +\ Closing\ cost\ +\ Loan\ amount) }{Remaining\ percentage}[/tex]

[tex]= \frac{(50,000 + 8,000 + 200,000)}{(100\% - 7\%)}[/tex]

[tex]= \frac{258,000}{93\%}[/tex]

= $277,419

Therefore for calculating the minimum contract price we simply applied the above formula.

Answer:

(14,1)

Step-by-step explanation:

You can see with the LKMJ rectangle, it moves over 7 and up 3.

We can do this for STUV and U is originally (7,-2) but moves up and right to the point (14,1)

Answer:

True choices are 1, 2, 5

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

So the answer choices:

1. AC = BC

2. AC = BD

3. CD = AB

4. ABCD is a square

5. ABD is an equilateral triangle

6. CD = AB + AB

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Answer:

Step-by-step explanation:

a.

[tex]20\%\:\\\\20\%\:=\frac{20}{100}\\\\\mathrm{Simplify}\:\frac{20}{100}\\\\=\frac{1}{5}\\\\\frac{1}{5}:\quad 0.2[/tex]

b.

[tex]71\%\:\\\\71\%\:=\frac{71}{100}\\\\=\frac{71}{100}\\\\\frac{71}{100}:\quad 0.71[/tex]

c.

[tex]75\%\:\\\\75\%\:=\frac{75}{100}\\\\\mathrm{Simplify}\:\frac{75}{100}\\\\=\frac{3}{4}\\\\\frac{3}{4}:\quad 0.75[/tex]

d.

[tex]62.5\%\\\\= \frac{62.5}{100}:\\\\\quad 0.625\\[/tex]

Answer:

10

Step-by-step explanation:

Let A = set of numbers from 1 - 10

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Let B = subset of A which are even numbers

B = {2, 4, 6, 8, 10}

Let C = subset of A which are multiples of 5

C = {10}

which elements are in both the subset of even numbers, and the subset of multiples of 5:

AnB means elements which appears in both set B and C

BnC = {5}

Answer:

Per day earning is $1.

Step-by-step explanation:

Initial balance that Usha had  = $84

Number of working days = 6 days

Total money after working 6 days = $45 × 2 = $90

Since we know that the initial amount is $84 and the final amount is $90. Thus the amount earned by working 6 days is 90 – 84 = $6.

Now we have to calculate the per day earning. Therefore, just divide the earning with number of days.

Per day earning = $6 / 6 = $1

Answer:

(-4, -1/2)

Step-by-step explanation:

The midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:

((x₁ + x₂)/2, (y₁ + y₂)/2)

So in this case:

((-3 - 5)/2, (3 - 4)/2) = (-8/2, -1/2) = (-4, -1/2)

Answer:

x=0

Step-by-step explanation:

First distribute -4 to x and -5 and get -4x+20-25=-5

Then you combine like terms and get -4x-5=-5

Then add 5 to both sides and get -4x=0

Then divide both sides by -4 and get x=0

============================================

Explanation:

"Bisect" means to cut in half

M is the midpoint as it cuts segment ST in half

SM and MT are the same length

SM = MT

2x+3 = 4x-7

2x-4x = -7-3

-2x = -10

x = -10/(-2)

x = 5

----------

If x = 5, then

SM = 2x+3 = 2(5)+3 = 10+3 = 13

MT = 4x-7 = 4(5)-7 = 20-7 = 13

Both SM and MT are the same length (13 units). This confirms the answer.

Answer:

___ x 10 = ____^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 3/7 - 1 1/4

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:17/7 - 5/4

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:17/7 - 5/4Next find the Lowest Common Denominator:

L.C.D = 28

L.C.D = 2821 - 12/28

L.C.D = 2821 - 12/28= 9/28

It won't be a mixed number because the denominator is bigger than the numerator.

Answer: -2y^2+7y-4

Step-by-step explanation:

Combine -5y^2 and 3y^2 to get -2y^2.

Combine 5y and 2y to get 7y.

Combine -5, 2, and -1 to get -4.

Put these in order with the highest exponent first.

-2y^2+7y-4

Answer:

17

Step-by-step explanation:

If you divide 20 by 100 then multiply by 85 you get the number shes likely to make

Answer:

17

Step-by-step explanation:

She will make 17 shots because:

[tex]\frac{85 x 20}{100}[/tex] = 17.

So, the answer is 17. Hope this helps!

Answer:

330,000,000,000

Step-by-step explanation:

Move the decimal to the right eleven times!

Answer:

3.3*10¹¹ = 330000000000

Step-by-step explanation:

3.3*10¹¹ = 330000000000

Answer:

*Over the interval (-3,-1], the local minimum is 0

*Over the interval (-1,0], the local maximum is 4.39

*Over the interval [0, 3], the local minimum is -32

here’s my answer hope I got it right!

Answer:

1. 0

2. 4.39

3.  -32

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-5 + 7 - 6 - (-4)

-11 + 7 - (-4)

-11 + 7 +4

-11 + 11

= 0

Answer: 0

Step-by-step explanation:

-5 + 7 -6-(-4)    

-5 + 7 -2

-5+ 5 = 0

Answer:

[tex]\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}[/tex]

Step-by-step explanation:

[tex]2.1<2.8[/tex]

[tex]\sf 2.1 \ is \ lesser \ than \ 2.8.[/tex]

[tex]\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.[/tex]

Answer:1 is to the left of 2.8 on a horizontal number line

Step-by-step explanation:

Circumference of a circle = 176 m

Calculate the diameter.

Circumference of circle = 2πr

We know that,

Circumference of circle = 2πr

=> 176 = 2 × 22/7 × r

=> 176 × 7 = 44 × r

=> 1232/44 = r

=> r = 28 m

Answer:

x = 5

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] (x + [tex]\frac{5}{2}[/tex] ) = [tex]\frac{15}{4}[/tex]

Multiply both sides by 4 to clear the fractions

2(x + [tex]\frac{5}{2}[/tex] ) = 15 ← distribute parenthesis on left side

2x + 5 = 15 ( subtract 5 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

x = 5

Step-by-step explanation:

i solved x using trial and error

1/2 (x+ 5/2)= 15/4

so i tried with 2

1/2 (2 + 5/2)= 9/4

which is too less, so i tried with 7

1/2 (7+ 5/2)= 19/4

which is too big, so i tried with 6

1/2 (6+ 5/2)= 17/4

which is nearly there and i tried with 5

1/2 (5+ 5/2)= 15/4

and it came exactly

​

​

Answer:

[0, 57.5]

OR

0 - 57.5

Step-by-step explanation:

Given the function [tex]H(t)[/tex] which gives the heart rate as per time.

That means Heart rate of the runner changes according to time.

[tex]H(t)[/tex] is a function which takes Time as input as observed by the function's representation. In bracket, there is [tex]t[/tex].

That also means time [tex]t[/tex] is the input to the function [tex]H(t)[/tex].

It is also given that during the time as the runner runs, the heart beat will change.

The output of the given function will be Heart beat of the runner.

Time taken to complete the run is given as 57 minutes and 30 seconds.

Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.

Here, time in minutes is the input to the function.

So, maximum time can be 57.5 minutes.

And as the runner will start from the time = 0 minutes

So, the valid inputs can be from 0 to 57.5 minutes.

Therefore, the domain is [0, 57.5]

OR

0 - 57.5

Answer:

x = - 2, x = - 1

Step-by-step explanation:

Given

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

To solve for x let y = 0, that is

(x + 2)(- x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

- x - 1 = 0 ⇒ - x = 1 ⇒ x = - 1

Step-by-step explanation:

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

(45) - (+14)

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

y=-2

Answer:

2 into x into y

Step-by-step explanation:

Answer:

900 feet

Step-by-step explanation:

300 yards converted to feet is 900 ft.

Answer: $650

Step-by-step explanation:

If he sold the bike 10% less than the original amount which means he sold it as a 10% discount so the person has to pay 90% of the price. And 90% of the price has to equal $585  so we could set up an equation and solve for the price.

90% * x =  585

0.9 * x = 585

0.9x = 585

x = 650  

Which means he paid $650 for the bike.