(b) Give the equation of a line which is parallel to line y=2x and
passes through (0,3).

Answers

Answer 1

All lines parallel to y=2x-3 will have the same slope as y=2x-3. So how do you find the slope of y=2x-3? Very simple! When written in slope-intercept form you simply look at the coefficient of the ‘x’ term. In this instance the coefficient is 2. Therefore any equation that has a slope of 2 will be parallel to y=2x-3. In general we can say that the family of equations parallel to y=2x-3 is y=2x+b where b is the y-intercept.


Related Questions

Fill in the table using this function rule. y=6x + 5​

Answers

Answer:

11, 17, 29, 65

Step-by-step explanation:

Rrplace x with values on the x colon

Answer:

Column 1 (When x = 1): y = 11

Colum 2(When x = 2): y = 17

Column 3(When x = 4): y = 29

Colum 4(When x= 10): y = 65

Step-by-step explanation:

When x = 1; y = 6(1) + 5

              => y = 6 + 5

             => y = 11

When x = 2; y = 6(2) + 5

               => y = 12 + 5

              => y = 17

When x = 4;  y =  6(4) + 5

                => y = 24 + 5

                => y = 29

When x = 10; y = 6(10) + 5

                => y = 60 + 5

                => y = 65

Hope this helps!

A wedge of cheese in the shape of a triangular prism is shown below.Find the surface area of the cheese.

Answers

Answer:

maybe 28 square feet

Step-by-step explanation:

maybe 28 square feet

Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)

Answers

Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get

[tex]12=ab^0[/tex]

[tex]12=a[/tex]

The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get

[tex]6144=12b^3[/tex]

[tex]\dfrac{6144}{12}=b^3[/tex]

[tex]512=b^3[/tex]

[tex]512^{\frac{1}{3}}=b[/tex]

[tex]8=b[/tex]

Putting [tex]a=12,b=8[/tex] in (i), we get

[tex]y=12(8)^x[/tex]

Therefore, the required exponential function is [tex]y=12(8)^x[/tex].

Which graph shows the line that best fits the data points given?

Answers

Answer:

3rd one

Step-by-step explanation:

The correct graph which shows the line that best fits the data points given is shown in Option 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find correct graph which shows the line that best fits the data points.

Now, We know that;

The correct graph of line for the data points is contain almost every points.

Hence, We get;

The correct graph which shows the line that best fits the data points given is shown in Option 3.

Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.

Learn more about the equation of line visit:

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Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?

Answers

Answer:

4 in 5 days

Step-by-step explanation:

Show work if you can!

Answers

Answer:

9 inches

Step-by-step explanation:

(x + 2)² = 121

√(x + 2)² = √121

x + 2 = 11

x + 2 - 2 = 11 - 2

x = 9

I need help with number 2 please

Answers


The answer is 2k x 1

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25

Angles equation for geometry.

Answers

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

You want to spin blue. Does it matter which spinner you spin? Explain

Answers

Answer:

No, they both have a 2/6 (1/3) chance of spinning blue.

There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?

Answers

Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

The probability of drawing A purple marble would be 0

The reason for the is because there are only blue, red and yellow marbles in the bag. There are no purple marbles.

What is the focus of the parabola?

y =1/4x^2 -x-1

Enter your answer in the boxes.

Answers

Answer:(-y/(1/2)) -x/(1/2)=1

Step-by-step explanation:

The coordinates of the focus of the parabola are (2, -1.9375)

How to determine the focus?

The equation of the parabola is given as:

[tex]y = \frac 14x^2 - x - 1[/tex]

Express as a vertex form

[tex]y = \frac 14(x - 2)^2 - 2[/tex]

The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is

Focus = (h, k + 1/4 a)

By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:

a = 1/4

h = 2

k = -2

So, we have:

Focus = (2, -2 + 1/4 * 1/4)

Evaluate

Focus = (2, -1.9375)

Hence, the coordinates of the focus of the parabola are (2, -1.9375)

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Decide if the following statement is valid or
invalid.
If you live in Miami, then you live in Florida.
Jada lives in Florida, so she lives in Miami.
Valid
Invalid

Answers

Answer:

Invalid

Step-by-step explanation:

Answer:

Invalid

Step-by-step explanation:

You can live in Florida outside of Miami.

First 4 terms 6,11,16,21 expression for the nth term

Answers

Answer:

5n + 1

Step-by-step explanation:

Increase by 5.

Variable term is 5n.

Number term is +1

5n + 1 :)

Hope this helps!

Answer:

Tn=5n+1

Step-by-step explanation:

T9=5*9+1

T9=45+1

T9=50

pls help me with this

Answers

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.

kyle's can drive about 360 miles on 11.9 gallons of as which would cost about $​

Answers

You need to have the rate of how much it costs for one gallon.

PLS HELP!! GIVING BRAINLIEST!! :((

Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0

Answers

Answer:

1 3 7 15 31

Step-by-step explanation:

i used a calculator.       Calculator Soup® is a good website for calculating stuff

What’s the answer to this question 6 1/2 - 4 7/10

Answers

Answer:

1 4/5

Step-by-step explanation:

Convert 1/2  to tenths.  1/2 = 5/10  which reduces back to 1/2

borrow 1 from the 6 to make 5/10 greater than 7/10

5/10 + 10/10 = 15/10

The 6 1/2  has become 5 and 15/10

5 15/10      Subtract 4 7/10

4  7/10              

1  8/10       Reduce the fraction by dividing top and bottom by 2

1 4/5    

Also possible is

6.5  

4.7          Subtract

1.8

           

42÷(13×6×7)=
I need help

Answers

Answer:

The answer is 1/13

Step-by-step explanation:

42÷(13×6×7)

= 42÷546

= 1/13

Answer: 7.7
Or 7.7 -2 x10 in other terms.

A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)

Answers

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

I have a question that has already been answered. I just need someone to please explain the steps.

Find the coordinates of the minimum point of the function- f(x) = x^2 + 4x - 5.

Solution-

We need to express x^2 + 4 - 5 in the form (x+h)^2 + k.

Let x^2 - 4x = (x - 2)^2 - 4 (Where did the -4 come from?)

x^2 + 4x - 5 = [ (x - 2)^2 - 4] - 5
= (x - 2)^2 - 9

All I wanna know is where the -4 came from. what rule must be applied. ​

Answers

Answer:

Step-by-step explanation:

Using brackets will really help.

y = (x^2 + 4x + ... ) - 5       You are trying to complete the square. The square in this case is a trinomial that is squared.

To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.

So far what you have is

y = (x^2 + 4x + 4) - 5  

Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.

What that means is 4  inside - 4 outside. So it looks like this

y = (x^2 + 4x + 4) - 5 - 4

Now you continue on

y = (x + 2)^2 - 9  The 4 combines with the 5 to make nine.

What is the meaning of the word “remnants” as it is used in the sentence? May someone explain why your answer is correct.

Answers

Answer:

D: pieces

Step-by-step explanation:

The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.

Thus, option D is the correct answer.

An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.

Answers

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s

Answers

1. 12
2. 1
3. 18
4. 9
5. 2
6. 20
7. 1
8. 6

^^ I am so sorry if any are wrong, I tried as best as I could

4+4x+x^2 = y Given x = 2

Answers

Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

Solve 22 = - 3d + 1. Show your steps.

Answers

22 - 1 = -3d
21= -3d
21/-3= d
-7 = d

Bring the 1 to the other side by doing the opposite sign, so subtract 1. Solve the left side.

Bring the 3 to the other side by doing the opposite sign, so divide 21 by -3.

End with D equaling -7

Answer and Step-by-step explanation:

Solve for D.

Subtract 1 from both sides of the equation.

22 - 1 = -3d + 1 - 1

21 = -3d

Divide both sides by -3.

21 ÷ -3 = -3d ÷ -3

-7 = d

d is equal to -7.

#teamtrees #PAW (Plant And Water)

The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.

Answers

Answer:

The Median is 0.5

Step-by-step explanation:

Ayudenme yo no hablo ingles por favor alguien habla español????╥﹏╥​

Answers

Answer:

yo te AYUDO

Step-by-step explanation:

;)

Answer:

hola yo hablo español :D

Step-by-step explanation:

Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?

Answers

Answer:

$353.75

0.05x + 300

Step-by-step explanation:

1075 x 0.05 = 53.75 + 300 = 353.75

0.05x + 300

A spherical boulder is 12 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for pi.

Answers

Answer:

904.32 ft^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

4/3 x 3.14 x 6^3 = 904.32 ft^3

Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?

Answers

Answer:

16.7%

Step-by-step explanation:

Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:

5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36

And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.

Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%

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