Find the equation of the line. Use exact numbers.

Joey's age is 3 less than twice his brother's age. Joey is 13 years old. How old is his brother?

Joey's brother is 8 years old.

Let's assume that:

As per the provided information, we are given that Joey's age is 3 less than twice his brother's age, we can write an equation:

[tex]\Large\qquad\quad\bigstar\:\:\boxed{\rm{\:\:y = 2x - 3\:\:}}[/tex]

We know that Joey is 13 years old. So we can substitute 13 for Joey's age in the equation and solve for x:

[tex]\Large\begin{aligned}\rm{13}&=\rm{2x - 3}\\\rm{13 \red{+3}}&=\rm{2x - \cancel{3 \red{+3}}}\\\rm{16}&=\rm{2x}\\\rm{\dfrac{16}{\red{2}}}&=\rm{\dfrac{\cancel{2}x}{\cancel{\red{2}}}}\\\bold{8}&=\rm{x}\end{aligned}[/tex]

[tex]\therefore[/tex] Joey's brother is 8 years old.

[tex]\\\\[/tex]

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Answer:

Joey's brother is 8 years old.

Step-by-step explanation:

Let's denote Joey's brother's age as [tex]\bf{x}[/tex]. Since Joey's age is 3 less than twice his brother's age and Joey is 13 years old, we can write the equation:

[tex]\LARGE \boxed{13 = 2x - 3}[/tex]

Now, we need to isolate [tex]x[/tex]. First, we can add 3 to both sides:

Next, we can divide both sides by 2:

So, Joey's brother is 8 years old.

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Learn more about calculating ages using algebra, here:

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Answer:

m=2

Step-by-step explanation:

(0,0) (5,10)

Answer: C because the line should be straight.

D would mean line is curved, and others only happen once

Step-by-step explanation:

Answer:

C. The city population increases by 1000 every year.

Step-by-step explanation:

A linear function of time means that over time, the city's population also changes and it is like a relationship between time and the growth. A and B only says that during that one year, it increased by 1000 so it is a temporary change and no growth was mentioned. C and shows that every year, there is a steady change (1000 per year) so it is a linear function. D's increase would be too drastic as the 10% increase would increase so it would not be a steady line so it is not a linear function.

Answer:

C = 2

Step-by-step explanation:

[tex]p(x)= -x+4x^2+Cx^3-8x^4 \\ \\

\because \: given \: polynmial \: has \: zero \: at \: \\x = \frac{1}{4} \\ \\ \implies \: p\bigg(\frac{1}{4} \bigg) = 0...(1) \\ \\ plug \: x = \frac{1}{4} \: in \: p(x) \: we \: find \\ \\ p \bigg(\frac{1}{4} \bigg) = - \frac{1}{4} + 4 {\bigg(\frac{1}{4} \bigg)}^{2} + c {\bigg(\frac{1}{4} \bigg)}^{3} - 8 {\bigg(\frac{1}{4} \bigg)}^{4} \\ \\ 0 = - \frac{1}{4} + \cancel 4 \times {\frac{1}{\cancel{16} } } + c {\bigg(\frac{1}{64} \bigg)} - \cancel 8 \times \frac{1}{\cancel{256} } \\ \\0 =\cancel{ - \frac{1}{4}} + \cancel {{\frac{1}{4} }} + c {\bigg(\frac{1}{64} \bigg)} - \times \frac{1}{32} \\ \\0 = c {\bigg(\frac{1}{64} \bigg)} - \frac{1}{32} \\ \\c {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32} \\ \\ c = \frac{1}{32} \times 64 \\ \\ c = 2[/tex]

Answer:

0.51

Step-by-step explanation:

google said it was

Answer:

-2 hope this helps you have a good day

Answer:

Slope:  5

y-intercept:  3

Uhhh hope this helps lol im not sure what kinda of answer your looking for

Answer:

5 paintings a week  

Step-by-step explanation:

20 pantings :D    Can i get brainliest please

378006

well if u multiply 63600 n 600 u would get 37800 u add it by 6 u get 378006

Answer:

378006

Step-by-step explanation:

well if you multiply 63600 and 600 you would get 37800 you add it by 6 you get 378006

Answer:

x=n/p+2/3

Step-by-step explanation:

divide 3 by both sides so your equation would be

3x-2/3=n/p

then add -2/3 to the other side and you would get your answer because 3x/3=x

Answer:  there is 2 small cups for icecream and 75 mediam ice cream bowls

Step-by-step explanation:

2 x 75 = 150

Answer:

50%

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

113 is not divisible by 4... if you want an even number.

Answer:

The total distance between the two cities in miles it 500 miles.

Step-by-step explanation:

In this example, we know that 1 inch on a map equals 125 miles in real life. The distance between 2 cities is 4 inches. We need to find the distance between these two cities in miles.

125 x 4 = 500

Therefore, the total distance between the two cities in miles it 500 miles.

Hope this helps! :D

Answer:

500 miles

Step-by-step explanation:

If 1 inch = 125 miles and the distance is 4 inches, then you multiply 125 by 4 to get 500 miles.

125

x  4

------

500

Answer:

0.8 is an ineteger of two values so YES it is a RATIONAL number

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Yes, it is a rational number

Rational numbers are mainly whole numbers, negative or positive.

Irrational numbers are like Pi.

Its an endless nonsense of numbers.

HOPE THIS HELPS!

Answer:

x=175

Step-by-step explanation:

1st number = x

2nd number = x

3rd number = 1.6(2x)

x+x+1.6(2x)=910

x+x+3.2x=910

5.2x=910

x=175

Hello! :)

[tex]\large\boxed{\text{70 seconds}}[/tex]

Use a proportion to find how many seconds are needed to fold 5 shirts.

We are given that he takes 28 seconds to fold 2 shirts:

28 sec : 2 shirts

We are not given the amount of time needed for 5 shirts, which we need to solve:

x seconds : 5 shirts

Express in a fraction:

[tex]\frac{2 shirts}{28 seconds} = \frac{5 shirts}{xseconds}[/tex]

Cross multiply and simplify:

[tex]2 * x = 5 * 28\\\\2x = 140\\\\x = 70 sec[/tex]

Therefore, he needs 70 seconds to fold 5 shirts.

Answer:

y = -8x + 3

Step-by-step explanation:

plug in the point and the slope into the slope intercept formula (y=mx+b)

the slope will be the same since you want the line to be parallel

11 = -8(-1) +b   now solve for b

11 = 8 + b

-8   -8

3 = b

now write the equation with only the slope and the y intercept

y = -8x + 3

The equation of a line that passes through (-1, 11) and is parallel to the line y = - 8x + c is y = - 8x + 3.

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through (-1, 11) and is parallel to the line -

y = − 8x − 2.

Since, the line is parallel to the line → y = − 8x − 2, therefore, their slope will be same and is equal to m = - 8.

Now, in the slope intercept form, assume that the equation of line looks like -

y = - 8x + c

Now, the line passes through the point (-1, 11), we can write -

11 = -8 x -1 + c

11 - 8 = c

c = 3

Hence, we can write the equation of the line as -

y = - 8x + 3

Therefore, the equation of a line that passes through (-1, 11) and is parallel to the line y = - 8x + c is y = - 8x + 3.

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Answer:

45.1 cm^2

Step-by-step explanation:

We can break up the area of quadrilateral ABCD into the sum of the areas of right triangle ABD and triangle BCD.

Triangle ABD is a right triangle, so the legs can be used as base and heightto find the area.

area of triangle ABD = bh/2

area of triangle ABD = (AD)(AB)/2

sin <ADB = opp/hyp

sin 55 = AB/10

AB = 10 sin 55

cos <ADB = adj/hyp

cos 55 = AD/10

AD = 10 cos 55

area of triangle ABD = (10 cos 55)(10 sin 55)/2

area of triangle ABD = 23.5 cm^2

Triangle BCD is a scalene triangle. We know the measures of 2 angles and the length of the included side.

Find the measure of angle C.

m<BDC + m<CBD + m<C = 180

44 + 38 + m<C = 180

m<C = 98

Use the law of sines to BC.

BD/(sin C) = BC/(sin <BDC)

10/(sin 98) = BC/(sin 44)

BC = (10 * sin 44)/(sin 98)

BC = 7.01485

Now use BC and m<CBD to find the length of the altitude from C to side BD. Call the altitude h.

sin 38 = opp/hyp

sin 38 = h/BC

sin 38 = h/7.01485

h = 7.01485 * sin 38

h = 4.3188

Now use BD as the base and h as the height to find the area of triangle BCD.

area of triangle BCD = base * height/2

area of triangle BCD = BD * h/2

area of triangle BCD = 10 * 4.3188/2

area of triangle BCD = 21.6 cm^2

Now we add the areas of the triangles.

area of quadrilateral ABCD = 23.5 cm^2 + 21.6 cm^2

area of quadrilateral ABCD = 45.1 cm^2

Answer:

Step-by-step explanation:

All real numbers from 0-10

The domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We have been given that the graph shows the value of Matt's car over 10 years.

We need to find the domain of the function that best represents the value of the car concerning the number of years.

Therefore, we can see that the value of Matt's car over 10 years decreases linearly.

Domain = {0 1 2 3 4 5 6 7 8 9 10}

Therefore, the domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.

Learn more about the domain and range of the function:

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Answer:

65 mileshour

Step-by-step explanation:

Answer:

The bigger the population growth there are, the more the resource use increases

Step-by-step explanation:

Answer:

They both need equal attention because it could change rapidly. This also means the relationship between resource availability and population growth is that they both need space and population growth the population is gonna get to large and for resource availability, you want resources so you are resourceful. Therefore, an increase in human population growth means there is an increased need for natural resources to supply the basic needs of the population.

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Answer:

1.28

Step-by-step explanation:

I did the math.

Answer:

82% of n = 328

Step-by-step explanation:

n = 400

400 x .3 = 120

400 x .82 = 328

Hopefully this helped you:)

Answer:

x = 3

y = 6

Step-by-step explanation:

2x = x + 9

x = 3

y = 2 * 3

y = 6 .    Hope this help teehee :D

Answer:

D

Step-by-step explanation:

Hope this helps!

If you need an explanation I can give it.

Answer:

x + y = 0 is x = − y.

x - y + 2 = 0 is x = y − 2.

Answer:

1+ 3*x

Step-by-step explanation:

so one dollars plus 3 times x or how many miles they rode

Answer:

$10665,64

Step-by-step explanation:

S=19900*(1-(7,5/100))^8=10665, 64

Answer:10665.64

Step-by-step explanation: Exponential Functions:

y=ab^x

A= starting value = 19900

r=rate = 7.5%=0.075

Exponential Decay:

b=1-r=1-0.075=0.925  

Write Exponential Function:

y=19900(0.925)^x

Plug in time for x:

y=19900(0.925)^8

y= 10665.6404317  

Evaluate

y≈10665.64