A car travels xkm in 3 hours. How far will it travel in 9 hours?

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

First, you have to subtract by 12x from both sides.

[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]

Solve.

[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]

Then, you divide by 3 from both sides.

[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

Solve.

[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

[tex]\sf{\dfrac{9-12x}{3}}[/tex]

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]

9-12x=3(3-4x)

[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]

Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

y = (3) - (4x)

Step-by-step explanation:

Note: Since there is only one equation given, the value of "y" will not be a fixed value.

Given equation:

Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).

Once the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.

Therefore, the value of "y" is 3 - 4x.

Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]

Answer:

(y + 3)² - 8

Step-by-step explanation:

y² + 6y +1

Step 1: Divide the co efficient of y by 2

6 ÷2 = 3

Step2: Now find the square of 3

3² = 9

Step3: Add and subtract 9

y² + 6y + 9 - 9 + 1  = y² +6y + 9 - 8  

                              = y² + 2*y*3 + 3² - 8    

Compare y² +2 * y*3 + 3² with a² +2ab + b²

                             = (y + 3)² - 8

Answer:

Given:

⇒ Weekly income = 38 × $19.50 = $741

⇒ Monthly income = ($741 × 52.14) ÷ 12 = $3219.65

28% of monthly income

= 0.28 × $3219.65 = $901.50

As $1700 > $901.50 Manuel should not rent the house for $1700 per month since it is more than 28% of his income.

The cost of rent at $1700 per month is actually 52.8% of his monthly income:

(1700 / 3219.65) x 100 = 52.8%

Answer:

19sides if sum is 3060

38sides if sum is 6480

The answers will be:

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

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1.    (4,5)

2.    remain constant and increase

3.    g(x) exceeds the value of f(x)

4.     eventually

Step-by-step explanation:

Answer:

ok real answer 2,-3

Step-by-step explanation:

Answer:

4/19

Step-by-step explanation:

Both the numerator and denominator can be divided by 2, giving 4/19

Answer:

Answer is B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

Just took the tes

Answer:

B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

Answer:

the answer of that question is 45

Answer:

Step-by-step explanation:

1.

Center: (-2, 3)

Radius: 10/2 = 5

Standard form/ equation: (x + 2)² + (y - 3)² = 25

Standard form:

(x - (-2))² + (y - 3)² = 5²

(x + 2)² + (y - 3)² = 25

2.

Center: (1, 1)

Radius: 6/2 = 3

Standard form/ equation: (x - 1)² + (y - 1)² = 9

Standard form:

(x - 1)² + (y - 1)² = 3²

(x - 1)² + (y - 1)² = 9

Hope this helps!

#1

Equation:-

More simply.

#2

Equation

Step-by-step explanation:

The area of the triangular base is: 19

square units

How to calculate the base area

The given parameters are:

Volume = 27.36 cubic units

Height = 2.88 unit

The volume of a triangular prism is:

V = 0.5 * B *h

Where B represents the base area.

So, we have:

27.36 = 0.5 * B * 2.88

27.36 B * 1.44 -

Solve for B

B = 19

Hence, the area of the triangular base is: 19 square units

Answer:

9

Step-by-step explanation:

Reduce the admission fee. Then divide the rest with cost per game

35 - 8 = 27

=> 27/3 = 9

Answer:

b ≤ 7

Step-by-step explanation:

Given that:

A red block and a blue block are on a scale.  The red block weights 9 ounces. The total weight of both blocks is 16 ounces.  

To Find:

Which inequality best represents b, the possible weight of the blue block in ounces?

Knowing that;

< ⇒ less than

> ⇒ Greater than

≤ ⇒ less than or equal to

≥ ⇒ greater than or equal to

Solve:

Since the total blocks is 16 ounces that means it can't be pass 16 also known as can't be greater than. As well as, it given us that the red block weight 9 ounces that means

16 - 9 = 7

which given us that it must be equal to 7 or less than 7 to make it true.

Thus,

b ≤ 7

Kavinsky

The total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

FICA tax comprises of:

Social security= 6.2%

Medicare=1.45%

Hence:

Social Security=$38,480 x 0.062

Social security =$2,385.76

Medicare= $38,480 x 0.0145

Medicare=$557.96

FICA tax=$2,385.76+$557.96

FICA tax=$2,943.72

Therefore the total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

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Answer:

D

Step-by-step explanation:

Answer:

its answer a :)

Step-by-step explanation:

875/23 = 38.04, round down to get 38

Basically to find solutions of the equation. Find the x intercept points.

Equation: x² - 4x + 2

when solved using quadratic formula:

[tex]\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}[/tex]

[tex]\dashrightarrow \sf x=3.414, \ 0.586[/tex]

These are the solutions to the quadratic equation.

Answer:

x ≈ 0.6 , x ≈ 3.4

Step-by-step explanation:

the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.

these are at approximately x = 0.6 and x = 3.4

Step-by-step explanation:

a. y-y1/y2-y1=x-x1/x2-x1

y+9/-5+9=x-9/10-9

y+9/4=x-9/1

y+9/4=x-9

b. y+9=4(x-9)

y+9=4x-45

y-4x=-45-9

y-4x=-54

Answer:

68.3 miles per hour

Step-by-step explanation:

One kilometer is 0.62 miles.

110 times 0.62 is 68.3

Wendy's rate of 110 kilometers per hour is 68.3 miles per hour.

To convert kilometers per hour to miles per hour, we need to use the conversion factor of 1 kilometer = 0.621371 miles.

Given that Wendy drives at a rate of 110 kilometers per hour.

we can multiply this value by the conversion factor to obtain the equivalent rate in miles per hour.

110 kilometers per hour × 0.621371 miles per kilometer

= 68.34381 miles per hour

We get 68.3 miles per hour.

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Step-by-step explanation:

7. Since they are similar triangles we have:

[tex] \frac{10}{8} = \frac{x}{12} \\ \\ x = 15[/tex]

So DF is 15

8. They are also similar. So:

[tex] \frac{14}{7} = \frac{x}{5} \\ x = 10[/tex]

So PR is 10

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

Answer:

D

Step-by-step explanation:

y=6x+2

2=12+2

NO
y=-x

2=-2

NO

y=2x+6

2=4+10

NO

y=x

2=2

6=6

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

We will use slope-intercept form:

[tex]y=mx+b[/tex]

Where [tex]m=[/tex]slope and [tex]b =[/tex]y-intercept

To find the slope we use the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We plug in the coordinates getting:

[tex]\frac{6-2}{6-2} =\frac{4}{4} = 1[/tex]

So we have a slope of 1:

[tex]y=(1)x+b[/tex]

If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:

[tex]y =x[/tex]

i just want the points but if i do some math based off of the question i think its C

Answer:

7^4 = 2401

Step-by-step explanation:

___, ___, ___, ___

all blank spaces can be filled with all 7 numbers each.. so 7*7*7*7 is total number of paterns you can get if repititions is allowed

The expression (2/7)x (1.4x² - 3.5y) can be written in the form of a polynomial as 0.4x³ - xy.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The expression is given below

[tex]\rm \dfrac{2x}{7} \times (1.4x^2-3.5y)[/tex]

The expression can be written in the form of the polynomial

[tex]\rightarrow \rm \dfrac{2x}{7} \times (1.4x^2-3.5y)\\\\\\\rightarrow \rm \dfrac{2x \times 1.4x^2}{7} - \dfrac{3.5y\times 2x}{7 }\\\\\\\rightarrow \dfrac{2.8x^3}{7} - \dfrac{7xy}{7 }\\\\\\\rightarrow 0.4x^3 - xy[/tex]

The expression in the form of a polynomial is given as

[tex]\rm \rightarrow 0.4x^3 - xy[/tex]

More about the polynomial link is given below.

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Answer:

Part A)

0.47/1=0.47x100/1x100=47/100\

Part B)

0.47=47/99

Part C)

0.47=47/99

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this is what I got for the first problem

Part A, 2√5)

5=2.2360679775 5=2x2.2360679775=4.472135955=4.47

Part A, √8)

2 3

V4 8 v9

2 4/5

Part A, √3)

1 2

V1 3 v4

1 2/3 Part A, √27)

5 6

V25 27 v39

5 2/14

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

Part B)

1 2/3 2 3/5 4.47 5 2/14

and this is what I got for the second problem

Step-by-step explanation:

Hope tis helps

Answer:

D. {(1,2) , (2,3) , (3,4) , (4,5)}

Step-by-step explanation:

Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.