Can you help me to determine the y-intercept of 7 and slope please

Can You Help Me To Determine The Y-intercept Of 7 And Slope Please

Answers

Answer 1

Answer:

slope = 2.5 and the y intercept is 3

Step-by-step explanation:

To find the slope we can use the formula

m = (y2-y1)/(x2-x1)

I will use the point (2,8) (6,18)  We can pick any 2 point we want.

 = (18-8)/(6-2)

  = (10/4)

  = 2.5

To find the y intercept we need to find the equation of the line.

We will use the point slope form

y-y1= m(x-x1)

y-8 = 2.5(x-2)

Distribute the 2.5

y-8 = 2.5x-5

Add 8 to each side

y-8+8 = 2.5x-5+8

y = 2.5x+3

This equation is in slope intercept form  y = mx+b

where the slope is 2.5 and the y intercept is 3

   

Answer 2

Hi There!

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

Find The Slope:

[tex]m = \frac{13 - 8}{4 - 2} = \frac{5}{2} or 2.5[/tex]

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

Find The Y-Intercept:

Substitute using x = 2 and y = 8

Use y = mx + b

Substitute: 8 = 2.5(2) + b

Simplify: 8 = 5 + b

Subtract 5 too both sides: 8 - 5 = 5 + b - 5

Simplify: 3 = b

Y-Intercept = 3

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

Point Slope Form: y - 8 = 2.5(x - 2)

Slope Intercept Form: y = 2.5x + 3

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

Hope This Helps :)


Related Questions

I need the ones circled on there

Answers

24. No if you divide his total gallons by the number of days to find the unit rate(amount drank per day ) you get 50.8.50.8>50
25.more just add together
26.assuming 100 were made 37.5
23.show the table

How much does the bag of peanuts weigh now?

Answers

Answer:

1/12

Step-by-step explanation:

subtract the two :)

The answer would be 1/12. I got my answer be subtracting the 2 fractions.

Evaluate the expression for c = -9. -c = _____

Answers

Answer:

- c = 9

Step-by-step explanation:

given c = - 9 ← multiply both sides by - 1

c × - 1 = - 9 × - 1 ⇒ - c = 9


Round the fraction to the nearest 1/2.
1/9

A 0
B 1/2
C 1

Answers

Answer:

0

Step-by-step explanation:

while rounding the fraction to half,it is to remember that

anything less than 1/4 can be rounded to zero.

anything equal or 1/4 or greater and less than 3/4 can be rounded to 1/2.

anything greater than 3/4 and less than 1 can be rounded to one.

so,1/9<1/4

the value is 0.

Final answer:

The fraction 1/9, when rounded off to the nearest 1/2, is closest to 0, so it rounds down to 0.

Explanation:

To round the fraction 1/9 to the nearest 1/2, you must decide which multiple of 1/2 (0, 1/2, or 1) it is closest to. Since 1/9 is less than 1/2, the first decision is whether it's closer to 0 or to 1/2. Since 1/9 is much smaller than 1/2, it makes sense to round it down to 0. Therefore, when rounding 1/9 to the nearest 1/2, the answer is 0.

I need help with this question

Answers

Answer:

Whats the question?


Step-by-step explanation:


on a scale drawing with a scale of 1 in: 5 ft, a tree is in. tall. How tall is the actual tree?

Answers

Final answer:

The question about the height of a tree on a scale drawing did not provide enough information for a certain answer. However, given a hypothetical height for the drawn tree, the actual height can be determined by multiplying this by the scale factor.

Explanation:

The subject of this question is mathematics, specifically dealing with ratios and proportions related to scale drawings. Given that the scale of the drawing is 1 in: 5 ft, this means that 1 inch on the drawing corresponds to 5 feet in real life. However, the specific height of the tree on the drawing in inches is not provided in the question, making it impossible to give a definite answer.

As an example to further explain, if the tree is drawn as 2 inches on the scale drawing, you would simply multiply by 5 (since the scale is 1 in: 5 ft) to find the actual height of the tree. So, for a 2 inch drawn tree, the actual tree would be 2 in * 5 ft/in = 10 ft tall.

But given the current information, a definite height cannot be provided. Please provide the height of the tree in inches on the scale drawing.

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I need help please answer quickly!

4 7/12 ÷ 2/7 =

Answers

Answer:

2.04

Step-by-step explanation:


what is an equivalent percent for 3/8

Answers

hope this helps

ANSWER: 37.5%

STEP BY STEP:

Take the fraction 3/8 and divide the numerator by the denominator ⇩

3/8= .375

Move the decimal 2 places to the right, or multiply it by 100 ⇩

.375 x 100

Enjoy your percentage! ⇩

37.5% or rounded up, 38%

A bank offers an APR of 6.4% compounded daily. The annual percentage yield is what percentage?

Answers

Answer:

The annual percentage yield is 6.609%

Step-by-step explanation:

Let's assume

amount invested=$1

so, P=1

APR of 6.4% compounded daily

so, r=6.4%=0.064

n=365

t=1

now, we can use formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

now, we ca plug values

[tex]A=1(1+\frac{0.064}{365})^{365\times 1}[/tex]

we get

[tex]A=1.06609[/tex]

now, we can find APY

[tex]APY=\frac{A-P}{P}\times 100[/tex]

now, we can plug values

[tex]APY=\frac{1.06609-1}{1}\times 100[/tex]

we get

APY is 6.609%

Answer:

The annual percentage yield is 6.609%.

Step-by-step explanation:

The annual percentage yield is calculated by:

APY = [tex](1+\frac{r}{n} )^{n} -1[/tex]

where r is the percentage rate and n refers to the number of times compounded.

So, r = [tex]\frac{6.4}{100}[/tex] = 0.064

Since the APR is compounded daily,

n = 365

Now,

APY = [tex](1+\frac{0.064}{365} )^{365} -1[/tex]

= 6.609% approximately

What do you know about the solution(s) to the system of equations?


a) There is no solution.


b) The solution is (2, 0).


c) The solution is (0,−1).


d)There are infinitely many solutions.

Answers

Answer:

a) There is no solution

Step-by-step explanation:


ANSWER

a) There is no solution

EXPLANATION

The given system has equations,
[tex]y = \frac{1}{2} x + 1[/tex]
and

[tex]y = \frac{1}{2} x - 3[/tex]
The two lines are parallel because they have the same slope.

The solution to the system of equations is the point of intersection of the two lines.

We can see clearly from the graph that, the two lines will never intersect anywhere.

This means that the system of equations whose graph is represented by the two lines has no solution.

Which number is not equivalent to 3 2/3?

Answers

Answer:

b. 3 4/6 cant equal 3 2/3

Step-by-step explanation:


Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples. How many did each of them pick?

Let n stand for the number Nate picked.

Equation:_______

How many apples did Nate pick?_________

How many apples did Laura pick?__________

Answers

90=1/2×
45
45 that is the problem

The answers to all the parts are -

Equation : (1/2)n + n = 90

Apples picked up by Nate : 60

Apples picked up Laura : = 30

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples.

Let [n] stand for the number Nate picked. Then, the number of apples picked up by Laura will be (1/2)n. Then, we can write -

Equation : (1/2)n + n = 90

1.5n = 90

n = (90/1.5)

n = 60

Apples picked up by Nate : 60

Apples picked up Laura : 60/2 = 30

Therefore, the answers to all the parts are -

Equation : (1/2)n + n = 90

Apples picked up by Nate : 60

Apples picked up Laura : = 30

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What are the excluded values x+2/y(z-5)

Answers

Answer:

y = 0 and z = 5

Step-by-step explanation:

the denominator of the expression cannot equal zero as this would make the expression undefined Equating the denominator to zero and solving gives the values that y and z cannot be

solve y(z - 5) = 0

equate each factor to zero and solve

y = 0 ← excluded value

z - 5 = 0 ⇒ z = 5 ← excluded value


Tell whether the fractions are equivalent 1/2 2/5

Answers

Answer:

These fractions are not equivalent.

Step-by-step explanation:

To tell whether the fractions are equivalent, get a common denominator.

The common denominator is 10

1/2 *5/5 = 5/10

2/5 *2/2 = 4/10

5/10 ≠4/10

These fractions are not equivalent.

no the fractions are not equivalent

Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6 off. Write and evaluate expressions to find who spent more money.

Answers

Answer:

Tony

Step-by-step explanation:

Tony:

3 Packs = 12 dollars

1 Pencil Box = 7 dollars


Mario:

4 Binders = 24 dollars

-6.


12+7= 19

24-6=18


Tony spent more money.

PLEASE HELP!! THANKS!

What is the 4th term in the sequence?

Answers

Answer:

- 405

Step-by-step explanation:

the recursive formula given allows us to find the next term in the sequence by multiplying the previous term by - 3

[tex]b_{2}[/tex] = [tex]b_{1}[/tex](- 3) = 15 × - 3 = - 45

[tex]b_{3}[/tex] = [tex]b_{2}[/tex](- 3) = - 45 × - 3 = 135

[tex]b_{4}[/tex] = [tex]b_{3}[/tex](- 3) = 135 × - 3 = - 405


What is the initial value of the function represented by this table? (5 points)
x . y
0 . 5
1 . 9
2 . 13

Answers

Answer:

5 is the initial value

Step-by-step explanation:

From the table we can see that the values of y are increasing by 4

Lets use two points and find out slope

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

we use points (0,5) (1,9)

[tex]slope = \frac{9-5}{1-0}=4[/tex]

slope m= 5

Now we use y=mx+b equation

m= slope and b= y intercept, plug in (0,5)  and find out b

y=4x+b

5= 4(0) +b

so b= 5

b=5 is the initial value of the function



Answer:

5 is the initial value

Step-by-step explanation:

From the table we can see that the values of y are increasing by 4

Lets use two points and find out slope

formula of slope

slope=m=[tex]\frac{y2-y1}{x2-x1}[/tex]

putting points (0,5) (1,9) in equation of slope

m=[tex]\frac{9-5}{1-0}[/tex]

slope m= 4

we know y=mx+b

m= slope and b= y intercept, plug in (0,5)  and find out b

b=?

x=0

m=4

y=5

putting these values in y=mx+b

y=4x+b

5= 4(0) +b

so b= 5

b=5 is the initial value of the function




what is the quotient 5,008 and 16

Answers

Answer:

313

Step-by-step explanation:

Quotient - Division

5,008 ÷ 16 = 313


Hope this helps you! And btw, you can use a calulator. :D

Answer:

313

Step-by-step explanation:

5,008/16 equals 313

a plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class


how many seats are there in each class???

Answers

Answer:

260 in economy

100 in business

Step-by-step explanation:

ok so out of 18 seats 13 are economy and 5 are business and since 18 times 20 is 360 we multiply each of these by 20 so 13 times 20 is 260 20 times 5 is 100 there you go

The product of the slopes of perpendicular lines (excluding vertical lines) always equals -1.

true
or
false

Answers

This is true.  The slope of the perpendicular line is equal to the negative reciprocal.  This means that you "flip" the fraction and multiply by negative 1.  Since the reciprocal is also the multiplicative inverse (something you multiply by a number to get 1), and the signs are different (one is positive, one is negative) it equals -1.


Hope this helps!

Final answer:

The statement is true that the product of the slopes of perpendicular lines, excluding vertical lines, always equals -1. This is a basic rule in geometry, where two lines are perpendicular if their slopes multiply to -1.

Explanation:

The statement that 'the product of the slopes of perpendicular lines (excluding vertical lines) always equals -1' is true.

In the coordinate system, two lines are perpendicular if the product of their slopes is -1. This is because the slope is a measure of the steepness of a line. Imagine you have two lines with slopes m1 and m2. If these lines are perpendicular to each other, then m1 * m2 = -1.

For example, if one line has a slope of 2 (m1 = 2), the line perpendicular to it will have a slope of -1/2 (since 2 * -1/2 = -1).

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What is the value of x? Show your work to justify your answer.


2. What is the value of the exterior angle? Show your work to justify your answer please!

Answers

Answer:

[tex]x^{\circ}=56^{\circ};[/tex]

The exterior angle has measure [tex]116^{\circ}.[/tex]

Step-by-step explanation:

Angle QRP and angle with measure of (2x+4)° are supplementary, then

[tex]m\angle QRP+(2x+4)^{\circ}=180^{\circ},\\ \\m\angle QRP=180^{\circ}-(2x+4)^{\circ}.[/tex]

The sum of the measures of all interior angles of the triangle is equal to 180°, then

[tex]m\angle PQR+m\angle QRP+m\angle RPQ=180^{\circ},\\ \\x^{\circ}+180^{\circ}-(2x+4)^{\circ}+60^{\circ}=180^{\circ},\\ \\x^{\circ}-2x^{\circ}=-60^{\circ}+4^{\circ},\\ \\-x^{\circ}=-56^{\circ},\\ \\x^{\circ}=56^{\circ}.[/tex]

The exterior angle has measure

[tex](2\cdot 56+4)^{\circ}=116^{\circ}.[/tex]

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116


Susannah has a high-yield savings account into which she deposits $120 each month. At the beginning of the year, Susannah's account balance is $800. In the equation below, x represents the amount of time, and y represents Susannah's account balance.

y = $120x + $800

Not including interest, what will her account balance be at the end of the year?

A. $2,240
B. $2,300
C. $2,000
D. $1,440

Answers

Answer:

A - $2240

Step-by-step explanation:

120(12) + 800 =

1440 + 800 = 2240

it's A do 1440+800=2240

estimate and then record the product 3×46=

Answers

Answer:

Estimate is 150 and actual product is 138.

Step-by-step explanation:

To estimate products, we round the numbers to nearest unit place, 10th, 100th, 1000th, and so on.

Given are the numbers 3 and 46.

We can round 46 ≈ 50.

So Estimation would be 3 x 46 ≈ 3 x 50

3 times 5 is 15 and we can add zeros after it.  

So estimation is 3 x 46 ≈ 150.

Now actual product would be...

3 times 6 is 18, so we note down 8 and 1 goes to carry over 4.

3 times 4 is 12 and carry 1 will be added in it, so 12 + 1 = 13.

It means the actual product is 3 x 48 = 138.

The amount of sales tax on a clothing purchase is directly proportional to the purchase price of the clothing. The sales tax on a $60 sweater is $4.20. Determine the constant of variation (sales tax percentage). A) .05 B) .06 C) .07 D) .08

Answers

Answer:

C  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4.20 ÷ 60 = 0.07

sales tax is 7% and this is your constant of variation

The answer is 0.07 hope this helps you ! :)

What is the total cost of a purchase price of $2615 and a tax rate of 3%

Answers

2615+(2615•3)/100=
2615+ 7845/100=
2615+ 78,45=
2693,45 $

Answer:

2693.45

Step-by-step explanation:

step 1 - 2615*3%=78.45

step 2 - 2615+78.45=2693.45

6 and 8 need help please

Answers

Answer:

6. d.

8. see below

Step-by-step explanation:

6.

A large pizza costs $4.25 more than a medium pizza.

L = $4.25 + M

4 large & 6 medium cost $99.50.

4L + 6m = $99.50

Answer d.

8.

A large river runs right through a city called Chestnutville. There are many bridges and tunnels connecting the two sides of the river. The total number of bridges and tunnels is 15. The number of tunnels is 3 more than twice the number of bridges. How many bridges, b, are there in Chestnutville, and how many tunnels, t, are there in Chestnutville?

Name the rule for each statement: (SSS, ASA, SAS, AAS)

Answers

Answer:


SSS - Two triangles have to have 3 congruent pairs of sides.

ASA - Two triangles have to have 2 congruent pairs of angles with an included congruent pair of sides.

SAS - Two triangles have to have 2 congruent pairs of sides with an included congruent pair of angles.

AAS - Two triangles have to have 2 pairs of congruent angles with a non-included congruent pair of sides.

The formula to convert F° to C° is C = 5/9(F-32). Convert 50°C to °F.

Answers

Answer:

50 C = 122 F

Step-by-step explanation:

50°C × 9/5 +32

Answer:

50°C = 122°F.

Step-by-step explanation:

Given  : The formula to convert F° to C° is [tex]C = \frac{5}{9}( f - 32)[/tex].

To find :  Convert 50°C to °F

Solution : We have given

[tex]C = \frac{5}{9}( f - 32)[/tex].

On multiplying by 9 both sides.

[tex]9 C = 5( f - 32)[/tex].

On dividing both sides by 5

[tex]\frac{9C}{5} =( f - 32)[/tex].

On adding both sides by 32

[tex]\frac{9C}{5}+ 32 = f[/tex].

Then plug C = 50°

[tex]\frac{9 * 50 }{5}+ 32 = f[/tex].

[tex]\frac{450}{5}+ 32 = f[/tex].

[tex] 90+ 32 = f[/tex].

[tex] 122°= f[/tex].

Therefore,  50°C = 122°F.

Help me. Please give explanation. Thanks

Answers

Answer: x < 3

Step-by-step explanation:

NOTE: [tex]\sqrt{(x+5)^2} = |x + 5|[/tex]

Rewrite the equation:

| x + 5 | < | x + 1 |

Remember that absolute value makes the "inside" value positive, so we need to solve for 2 case of x + 5 (inside is positive or negative) and 2 cases of x + 1.

± (x + 5) < ± (x + 1)

Case 1: +  +

x + 5 < x + 1

    5 < 1

  FALSE

Case 2: - -

-(x + 5) < -(x + 1)

 x + 5 > x + 1   divided both sides by -1

      5 > 1

     TRUE so this works when both "insides" are negative

⇒   x + 5 < 0     and      x + 1 < 0

          x < -5     and           x < -1

since it has to satisfy both, x < -5

Case 3: + -

x + 5 < -(x + 1)

x + 5 < -x - 1     distributed -1 on right side

2x + 5 < -1

2x       < -6

 x       < -3

Case 4: - +

-(x + 5) < x + 1

-x - 5 < x + 1     distributed -1 on left side

   -5 < 2x + 1

   -6 < 2x

   -3 < x

     x > -3

This is a contradiction of Case 3 so need to choose a test point.

TEST POINTS (I choose -6, -4, and -2)

 | -6 + 5 | < | -6 + 1 |

 |    -1     | < |    -5   |

          1   <   5

        TRUE so x < -5 is valid

 | -4 + 5 | < | -4 + 1 |

 |     1     | < |    -3   |

          1   <   3

        TRUE so x < -3 is valid

 | -2 + 5 | < | -2 + 1 |

 |     3     | < |    -1   |

          3   <   1

        FALSE so x > 3 is NOT valid

Note that x < -3 includes all the values of x < -5, so x < -3 is the answer.

*******************************************************************************

This is a faster way to solve it. Thank you @proner26 !

| x + 5 | < | x + 1 |

(| x + 5 |)² < (| x + 1 |)²

x² + 10x + 25 < x² + 2x + 1

       10x + 25 <       2x + 1

        8x + 25 <                1

        8x         <             -24

          x         <              -3

Answer: x < -3

Ada and Steve spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x): Function 1: Number of Weeks (x) Amount Remaining (dollars) (y) 1 40 2 36 3 32 4 28 The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x: Function 2: y = −5x + 40 Which statement explains which function shows a greater rate of change?

Answers

Answer:

Function 2 has a greater rate of change

Step-by-step explanation:

Function 1:

Number of Weeks (x)               1     2      3     4

Amount Remaining (dollars) (y) 40   36    32   28

We can find the slope by using

m = (y2-y1)/ (x2-x1)

  = (40-36)/ (1-2)

  = 4/-1

 = -4


Function 2:

y = −5x + 40


Using y = mx+b

The slope is -5


Function 2 has a greater rate of change

Answer:

Function 2, because Steve spends $5 each week and Ada spends $4 each week

Step-by-step explanation:

I took the test

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