Refer to the graph at the right. Write each equation in the correct column.

Refer To The Graph At The Right. Write Each Equation In The Correct Column.

Answers

Answer 1

The only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest options are not equations of the drawn line.

What is the Equation of a Line in Point-Slope Form?

The equation, y - b = m(x - a), is the point-slope form of any given line where m is the slope of the line and any point on the line is given as (a, b).

Slope (m) = rise/run.

Find the slope (m) of the graph at the right.

Slope (m) = rise/run = 1 units/2 units

Slope (m) = 1/2.

Any possible equation of the line should have a slope of 1/2.

y - 2 = 1/2(x - 4), y - 2 = 1/2(x + 4), and y - 4 = 1/2(x - 2) are the only equations that has a slope of 1/2.

Using a point on the line, say (0, 3), substitute x = 0 and y = 3 into each of the three equations to check if the equation is true.

y - 2 = 1/2(x - 4)

3 - 2 = 1/2(0 - 4)

1 = -2 [not true]

y - 2 = 1/2(x + 4)

3 - 2 = 1/2(0 + 4)

1 = 2 [not true]

y - 4 = 1/2(x - 2)

3 - 4 = 1/2(0 - 2)

-1 = -1 [true]

Therefore, the only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest 4 equations are not equations of the drawn line.

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Related Questions

2. A car has a fuel tank that holds 45 liters of fuel. The car consumes 8.0 liters of fuel for
each 100 km driven. A trip of 350 km was started with a full tank of fuel. How much
fuel remained in the tank at the end of the trip?

Answers

Answer: 17 liters

Step-by-step explanation:

Make a proportion:

100 km - 8 liters

350 km - x liters

Hence,

[tex]\displaystyle\\x=\frac{350*8}{100} \\\\x=\frac{2800}{100}\\\\x=28\ liters \\\\45-28=\\7\ liters[/tex]

HELP PLEASEEE:)))) THIS IS ALGEBRA II BTWWW

Answers

Answer:

The answer is B

Step-by-step explanation:

I am 100% sure

Which of the following equations are equivalent to -2m-5m - 8 = 3+(-7)+m? Select all that apply
m-4=-7m-8
-8-3m-4-m
-3m-8=4-m
-15m= -4m
-7m-8=m-4
-8-7m=-4+ m

Answers

the second option is one of them. the 5th option is also one. and the 4th one

Michael rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 97 cents for each mile driven. Michael had to pay $277.88 when he returned the truck.


For how many miles did he drive the truck?​

Answers

Answer: 286.474227

Step-by-step explanation:   The answer is correct if doing division, if not then this is wrong. I divided 277.88 with 0.97 and got 286.474227

Match the equivalent expressions

Answers

Answer: The first one is 36. The second one is 0. The third one is 1/216 and the last on is 1/1,296.

Step-by-step explanation:

-5x+3y=-30
Find x interception

Answers

The x-intercept of given equation is x=6 and point is (6,0).

Given the equation is -5x+3y=-30.

Here, we will find the x-intercept of the given equation.

The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.

We will find the x-intercept by substituting y=0 and applying the inverse operations.

Firstly we will substitute y=0 in equation, we get

-5x+3(0)=-30

Now, we will simplify this, we get

-5x+0=-30

-5x=-30

Further, we will divide both sides with -5, we get

-5x/-5=-30/-5

x=-6

Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.

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In the figure to the​ right, if AC=16 and BC=13​, what is the​ radius?

Answers

Answer:

Radius AB = 9.3 units

Step-by-step explanation:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

Radius AB = 9.3 units

Solving Quadratic Inequalities

1ai. x^2 less than or equal to sign 8
1ei. (x-4)(x+1)>0

Answers

Answer:

1ai. x is less than or equal to 8

1ei. x > 4 and x > 1

Step-by-step explanation:

Steps for solving 1ai

Factor x² less then or equal to 8 you would do this by finding two numbers the product is equal to zero and the sum would equal to zero. You would find all factors that would equal to your terms like for example x² has the factors x•x and the factors of 0 are 0 so it would be (x+0)(x+0) is less than or equal to 8Split the factoed terms into two inequalities since you're dealing with polynomial inequalities you will either have one or more solutions. For example you will have to solve x + 0 is less than or equal to 8 Solve for x by doing the inverse operation in this case the addition will become subtraction so it will be x + 0-0 is less than or equal to 8 - 0 which would be x is greater than or equal to 8

Steps to solve 1ei

Split the factored terms into 2 inequalities so (x-4) (x+1) >0 will become x-4>0 and x+1>0 Solve for x in this case x-4>0 will become x-4+4> 0+4 which is x>4 and x+1>0 will be x+1-1>0-1 which is x>-1

On Monday, Mia spent 3 1/2 hours studying. On Tuesday she spent another 1 3/5 hours studying. What is the total time she spent studying?

pls help me, srry not college

Answers

Answer:

5 1/10

Step-by-step explanation:

let me know if you need an explanation

Point G is the midpoint of segment FH. GH= 16x-19 and FG=12x+9. Find GH

Answers

Answer:

93

Step-by-step explanation:

By the definition of a midpoint, FG=GH.

[tex]16x-19=12x+9 \\ \\ 4x-19=9 \\ \\ 4x=28 \\ \\ x=7 \\ \\ GH=16(7)-19=\boxed{93}[/tex]

Borrowed money for 4 years at 9%. Total interest paid was 2520. How much was borrowed

Answers

The required amount that was borrowed is 7000.


Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.

What is simple interest?

Simple interest is defined as the percentage of earnings on the lending for a period of time

Here,
interest  = [principal * rate * time  ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.

Thus, the required amount that was borrowed is 7000.

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what is 20 squared 2 + 6(9 + 3)

Answers

Answer:

[tex]\sf 872[/tex]

Step-by-step explanation:

Parentheses

[tex]9 + 3 = 12[/tex]

[tex]=20^2\cdot \:2+6\cdot \:12[/tex]

Exponents

[tex]20^2=400[/tex]

[tex]=400\cdot \:2+6\cdot \:12[/tex]

M/D(Multiply/Div.)

[tex]6\cdot \:12 = 72[/tex]

[tex]=800+72[/tex]

A/S(Add/Sub.)

[tex]800+72=872[/tex]

[tex]\sf Thus,\\= 872[/tex]

the distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?

Answers

Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.

What is a z-value?

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

Z = (x - μ)/δ

Where:

x represents the sample mean or observed data.μ represents the mean.δ represents the standard deviation.

If 15 percent of the rainbow trout are longer than 15 inches, then we have:

P(x > 15) = 0.15

From the z-table, the z-value which corresponds to a mean of 0.15 is given by:

z-value = -1.036

Substituting the given parameters into the formula, we have;

Z = (x - μ)/δ

-1.036 = (15 - μ)/2.4

-1.036 × 2.4 = 15 - μ

-2.4864 = 15 - μ

μ = 15 + 2.4864

Mean, μ = 17.4864

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Complete Question:

The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?

A. 26 inches

B. 18 inches

C. 30 inches

D. 33 inches

E. 34 inches

A cooked ham weighs 11 kilograms how many ham slider sandwiches can be made if each sandwich has. 55 grams of cooked ham

Answers

Number of ham slider sandwiches can be made is 200.

According to given data,

cooked ham weighs is 11 kilograms and

each sandwich has. 55 grams of cooked ham

we convert 11 kilograms to 11 grams

so we multiply 11 kilograms with 1000

then we get, 11×1000 = 11000 grams

number of ham slider sandwiches prepared

⇒ [tex]\frac{11* 1000}{55}[/tex]

⇒ [tex]\frac{1000}{5}[/tex]

⇒ 200

Therefore, we get number of prepared ham slider sandwiches is 200 .

Converting

Write the number of grams. Label it "grams" or "g." If you're using a calculator, just type the number in.

In this section, we'll follow along with an example problem to make things easier. Let's say that we want to convert 20,000 grams to kilograms. To start, we would write "20,000 grams" on our paper.

Divide by 1,000. A kilogram is one thousand grams. This means that to get kilograms from grams, you just need to divide the number of grams by 1,000.

In our example, we would get kilograms by dividing 20,000 grams by 1,000.

20,000/1,000 = 20

Label your answer. Don't forget this step! Labelling your answer with the proper units is important. If you're doing this conversion for schoolwork, you can lose points if you don't label. If you're doing it for something else, people may assume the wrong units.

In our case, we would label our answer with the label "kilograms" like this:

20 kilograms.

To get back to grams, multiply by 1,000. As discussed above, a kilogram is one thousand grams. This means that if you ever want to get back to grams from kilograms, all you need to do is multiply the number of kilograms by 1,000. Since multiplications is basically the "opposite" operation as division, this will "undo" the division and give you grams.

To get 20 kilograms back to grams, we just multiply by 1,000 (don't forget to label your answer again):

20 kilograms × 1,000 = 20,000 grams

Converting by Shifting the Decimal Point

Start with your number of grams. Believe it or not, you can convert between grams and kilograms without doing any math. This works because the metric system is a base 10 system of measurements. In other words, metric units are always a multiple of 10 apart from each other — there are 10 millimeters in a centimeter, 100 centimeters in a meter, 1,000 meters in a kilometer, and so on.

In this section, let's convert 37 grams to kilograms. We would begin the same way as in the section above, writing "37 grams" on our paper.

Shift the decimal point three spaces to the left. Now, find the decimal point in your number of grams. If you're converting a whole number, this won't usually be written, but you can assume it its to the right of the ones place. Move the decimal point three spaces to the left. Each time you move past a number counts as one space. If you run out of numbers to move past, keep moving it, leaving blank spaces.

In our example, the decimal point in 37 grams is to the right of the 7 (i.e., 37 grams is the same as 37.0 grams). If we go one space at a time, moving the decimal point three spaces to the left looks like this:

37.

3.7

.37

._37 — note that we leave an empty space when we run out of numbers.

Add zeroes in any empty spaces. You can't leave empty spaces in your answer, so fill in each one with a zero. You can also put a zero to the left of the decimal place if there aren't any numbers there, but this is optional — it just depends how you like to write your answers.

In our example, we have one empty space between the decimal point and the 3, so we'll fill it in with a zero like this:

.037

Adding the proper label (plus an extra zero to the left of the decimal point for presentation purposes), we get our final answer:

0.037 kilograms

To get back to grams, shift the decimal place back. When you have kilograms, shifting the decimal place three spaces to the right will give you grams again. Fill in any empty spaces with zeroes as normal.

In our example, we can shift the decimal place three spaces to the right like this:

0.037

00.37

003.7

0037. — the zeroes on the left don't matter any more, so we can rewrite this as simply 37 grams.

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Help Please!! If cos theta = - square root 2/2 and pie/2 < theta < pie, what are the values of sin theta and tan theta? What is theta in degrees and radians?

Answers

The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).

How to find the values of other trigonometric functions and the angle behind them

According to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:

sin θ = √(1 - cos² θ)

sin θ = √[1 - (- √2 / 2)²]

sin θ = √(1 - 1 / 2)

sin θ = √(1 / 2)

sin θ = √2 / 2

And the value of the tangent:

tan θ = sin θ / cos θ

tan θ = (√2 / 2) / (- √2 / 2)

tan θ = - 1

By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).

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Which of the following improper fractions is equal to the mixed number 29/4

Answers

The mixed fraction 7[tex]\frac{1}{4}[/tex] is equal to the improper fraction 29/4.

What is Improper Fraction ?

Improper Fraction - If the numerator exceeds the denominator in a fraction, it is referred to be Improper Fraction. Some examples include 9/2, 8/5, 10/3, etc.

What is Mixed Number ?

Mixed Number - A whole number along with a proper fraction forms a mixed number. Also known as mixed fraction.

For the conversion of 29/4 into mixed number

Divide the numerator 24 by denominator 4

29 ÷ 4 = 7

Remainder = 1

Write the number 7 and then write 1 (the remainder) as the numerator and the 4 as the denominator (the denominator will remain tne same).

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The correct question should be which of the following mixed fraction is equal to the improper fraction 29/4 ?  

Jessica determines the remainder of (5x^52-4x^15-11x^2+12)/x+1, using the remainder theorem. How does she proceed to the correct answer?

Answers

The remainder and factor of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] is [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and [tex]0[/tex]

As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] using remainder theorem concept.

Before solving this, we need to know the concept of remainder theorem.

According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."

Hence using the same concept we can conclude that the factors are [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and remainder is [tex]0[/tex]

Algebraic Expression: An algebraic symbol or set of symbols that includes one or more integers, variables, and arithmetic operations.Remainder Theorem: When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem.

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It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.

Answers

It will take 150 minutes to spell check 40 pages. 150 minutes is the same as 2.5 hours

I am pretty sure the answer is 150 because, as, first find the how many minutes does it take for 1 page and then the just multiply the answer with 40

Step-by-step explanation:

45/12=3.75 ×40

6. To make your shot, you need the cue ball to hit point C. Find length CD and use it
to identify the location of C in relation to one of the C corner pockets. For example, if C
is on the upper bumper, your answer might be: 15 inches to the right of the upper left
pocket. Round your answer to the nearest inch. (2 points: 1 point for distance, 1
point for location)

Answers

33in is length of  CD by using angle of reflection.

What is Angle of reflection?

The angle of reflection is the angle formed by the reflected ray and the normal at the point of incidence on a reflecting surface.The angle formed by the incident and reflected rays is split into two equal angles by the normal line. The angle of incidence is the angle formed by the incident beam and the normal. The angle of reflection is the angle formed by the reflected beam and the normal.

CD should be a perpendicular line to CB.

Angle of incidence = Angle of reflection

Angle ACD = Angle EAC

Let the perpendicular intersection point from A to side be G

The two right-angled triangles, CDG and CAG, are similar by AAA.

So DG/AG = CD/CA

46/18 = CD/CA

CD+CA = 96-50 = 46

CA = 46-CD

46/18 = CD/(46-CD)

46*46 - 46CD = 18CD

64CD = 46*46

CD = 33.06 = 33in

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determine the monthly payment for a car that cost $42,100 if you put $4000 down and traded in a car for $6500 on a 5 year loan with 4.5% interest rate

Answers

Answer:  $589.12

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

Explanation:

The down payment and trade-in value add to 4000+6500 = 10,500

Subtract this total from the car's cost

42,100 - 10,500 = 31,600

This is the amount loaned to the customer.

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

We have these input values

L = 31,600 = loan amounti = 0.045/12 = 0.00375 = monthly interest rate in decimal formn = 12*5 = 60 months (equivalent to 5 years)

Let's compute the monthly payment

P = (L*i)/(1 - (1+i)^(-n))

P = (31600*0.00375)/(1 - (1+0.00375)^(-60))

P = 589.119408031938 approximately

P = 589.12

Write the slope-intercept form of the equation for each line.

Answers

Answer: y=4/5x-1.5

Step-by-step explanation: slope intercept form is y=mx+b

m is going to be the slope of the line which in this case is 4/5 (rise over run)

b is going to be where the line intercepts the y-axis, in this case it looks to be at -1.5. Since the y-intercept is in the negatives, we subtract b.

x is an just a variable to be added in for if/when this equation is used.

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 2 is an outcome of which of the following events? Select all correct answers

Answers

Answer: E & B

Step-by-step explanation:

please help

please hurry

Answers

The value indicated of the function indicated on the graph of the function is 2

How to determine the value indicate on the graph of the function?

The graph represents the given parameter

The given graph is a linear function

This is so because the graph is represented by a straight line

A linear function is represented as

f(x) = mx + c

Where the vertex is

m represents the slope

c represents the y-intercept

From the given graph of the equation, we have

f(1) = 2

This means that

When x = 1, the value of f(x) is 2

Hence, the value indicated of the function indicated on the graph of the function is 2

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The beginning-of-the-period cash balance for the Taylor Company was a $12,000 debit. Cash sales for the month were $8,000 and sales on account were $8,000. The company paid $2,500 cash for current-period purchases and also paid $3,000 cash for amounts due from last month.
What is the ending debit or credit balance in the Cash account?

Answers

Based on the calculation below,  the ending debit balance in the Cash account is $14,500.

How do we calculate the Cash account ending balance?

The ending balance in the Cash account can be calculated using the following formula:

Ending balance = Beginning-of-the-period cash balance + Cash sales for the month - Current-period purchases - Amounts due from last month .......... (1)

Substituting all the relevant into equation (1), we have:

Ending balance = $12,000 + $8,000 - $2,500 - $3,000

Ending balance = $14,500

Since the $14,500 is positive, this implies that the ending can balance is debit.

Note that sales on the account is not cash transaction and that is it is not included in the calculation.

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Francisco earns seven dollars an hour at his part-time job last week he worked 16 hours what was his gross pay for the week what was his salary for the year if he works 16 hours a week all year

Answers

Answer:

he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year

Step-by-step explanation:

sorry if i got this wrong

Identify a pair of segments that are marked perpendicular to each other on the
diagram below. (Diagram is not to scale.)
P
R
T
#
U
0
S
N

Answers

the two perpendicular segments are:

PN and UR.

How to identify the perpendicular segments?

Two segments are perpendicular if and only if the angles generated when the segments intersect are all right angles (angles that measure 90°).

And the 90° angles are usually notated with a little square on the vertex.

In the image we can see that the angle at U is a right angle, thus, the segments that pass through that point are perpendicular.

We can conclude that the two perpendicular segments are:

PN and UR.

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Andy got a loan of $120000 from a bank at a rate of 9% per annum calculate the i for the loan at the end of the first year

Answers

Answer:

I=$10800

Step-by-step explanation:

I=($120000×9×1)÷100

I=$1200×9=$10800

Which lines are parallel in the square
pyramid?
Select each correct answer.
о
AB and AD
BC and DE
AD and BC
CL and BE

Answers

AB AND AD :)))))))))))):()()/()):

Step-by-step explanation:

AB and AD, i got the same question and the answer was right

Bill weighs 120 pounds and is gaining four pounds each month. Phil weighs 220 pounds and is losing six pounds each month. Which equation could be
used to determine how many months it will take for Bill and Phil to weigh the same amount?
120+4-2202-6
120-62220 + 4z
120r-6-220z+4
120+4r 220-6r

Answers

Bill and phil are both fat and needa hit the gym
12-mr4200
-67 months by gone

Answer: D

Step-by-step explanation: its just right

please help


please hurry

Answers

Answer:

It would be the last one D

Step-by-step explanation:

Because -1/x would be the recipricol graphing equation (I think) maybe not the recipricol but because the x is on bottom it's gonna make two graphs. I hope this helps some

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