What is the y-intercept of 5x+4y=−40 ?
A.(8,−10)
B.(0,−10)
C.(0,8)
D.(−10,0)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 4y = - 40 ( subtract 5x from both sides )

4y = - 5x - 40 ( divide all terms by 4 )

y = - [tex]\frac{5}{4}[/tex] x - 10 ← in slope- intercept form

with y- intercept c = - 10 ⇒ (0, - 10 ) → B

Answer 2

Step-by-step explanation:

To find the y intercept of the line we must first write the equation in standard form which is

y = mx + c

where

m is the slope

c is the y intercept

So we have

5x + 4y = - 40

4y = -5x - 40

Divide both sides by 4

We have the equation as

[tex]y = - \frac{5}{4} x - 10[/tex]

From the question the y intercept is - 10

We have the final answer as

( 0 , - 10)

Hope this helps you


Related Questions

The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $38.30. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $40.75. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?

Answers

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step explanation:

Given

Represent Turkeys with T and French Fries with F;

[tex]4T + 7F = 38.3[/tex]

[tex]5T + 5F = 40.75[/tex]

Required

Determine the values of T and F

[tex]5T + 5F = 40.75[/tex]

Divide through by 5

[tex]T + F = 8.15[/tex]

Make F the subject

[tex]F = 8.15 - T[/tex]

Substitute 8.15 - T for F in the first equation

[tex]4T + 7F = 38.3[/tex]

[tex]4T + 7(8.15 - T) = 38.30[/tex]

[tex]4T + 57.05 - 7T = 38.30[/tex]

Collect Like Terms

[tex]4T - 7T = 38.30 - 57.05[/tex]

[tex]-3T = -18.75[/tex]

Solve for T

[tex]T = -18.75/-3[/tex]

[tex]T = 6.25[/tex]

Recall that:

[tex]F = 8.15 - T[/tex]

[tex]F = 8.15 - 6.25[/tex]

[tex]F = 1.90[/tex]

The height h (in feet) of an object dropped from a window after x seconds can be modeled by h(x)=−16x2+64 . The object is dropped a second time so that it hits the ground 1.5 seconds sooner. Write a function g that models the path of the object the second time it is dropped.

Answers

Answer:

g(x) = - 16x² + 4

Step-by-step explanation:

Given the model:

First drop:

h(x) = - 16x² + 64

Second drop hits the ground 1.5 seconds sooner

Function g(x) to model the second drop:

-16t² + V0t + h0

h(x) = - 16x² + 64

0 = - 16x² + 64

16x² = 64

x² = 64/16

x = 2

1.5 seconds sooner :

X = 2 - 1. 5

x = 0.5

0 = - 16(0.5)² + 0 + h0

0 = - 4 + h0

h0 = 4

Hence,

g(x) = - 16x² + 4

How is the graph of the parent quadratic function transformed to produce the graph of y=-(2x+6)2 + 3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units.
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
yp 3 units.
O The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units.
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units.

Answers

Answer:

The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

Step-by-step explanation:

What introduction proof is FH=FG=GH

Answers

Answer:

What grade are you in I might know it

what is the perimeter of the rectangle shown

Answers

Answer:

Dude where is your picture?

Step-by-step explanation:

Write an explicit formula for each arithmetic sequence.

An = An - 1 - 3; A1 = 10

Answers

The explicit formula is : An = -3n + 13

Solve inequality -4x+5<-5

please hurry

Answers

Answer: x > [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

-4x + 5 < -5

Subtract 5 from both sides

-4x < - 10

Divde each side by -4

x < -10 / -4

Dividing each side by a negative number flips the inequality

x > - 10 / -4

- 10 / -4 = 10 / 4 = 5/2

x > 5/2

Answer:

-4x+5<-5

-4x<-5-10

-4x<-15

-4x/-4>-15/-4

x>15/4

In a class of 28 students, 15 earned an A on the final exam, 10 earned an A for the entire course, and 7 earned an A for both final exam and the entire course. What is the probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course?

Answers

Using it's concept, it is found that there is a 0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that 13 out of 28 students did not earn an A on the final course, and 21 out of 28 students did not earn an A for the entire course, hence:

[tex]p = \frac{13}{28} \times \frac{21}{28} = 0.3482[/tex]

0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.

More can be learned about probabilities at https://brainly.com/question/14398287

Need this for my homework! Please help! Image attached!

Answers

The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

How to determine the values of x, y and z

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

[tex]x : 9 = 4 : x[/tex]

Express as fraction

[tex]\frac x9 = \frac 4x[/tex]

Cross multiply

[tex]x^2 = 36[/tex]

Take the square root of both sides

[tex]x = 6[/tex]

The value of y is then calculated using the following Pythagoras theorem

[tex]y = \sqrt{9^2 + x^2[/tex]

This gives

[tex]y = \sqrt{9^2 + 6^2[/tex]

[tex]y = \sqrt{117[/tex]

The value of z is then calculated using the following Pythagoras theorem

[tex]z = \sqrt{4^2 + x^2[/tex]

This gives

[tex]z = \sqrt{4^2 + 6^2[/tex]

[tex]z = \sqrt{52[/tex]

Hence, the values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]

Read more about triangles at:

https://brainly.com/question/17972372

8 nickels 5 quarters what is the ratio of coins to quarters

Answers

Answer:

13:5

Step-by-step explanation:

13 coins and 5 quartres

PLEASE HELP OVERDUE ASSIGNMENT WORTH 24 POINTS!!
The pizzeria sold 85 pizzas yesterday. Suppose the number of pizzas sold today
was 60. Determine the percent increase or decrease in the pizzas sold, rounded to
the nearest hundredth. (Show your work)

Answers

Answer:

App. percent decrease of 29.41%

Step-by-step explanation:

60-85/85=0.2941- 29.41%

There are 10 rulers, 6 erasers, and 8 red pens. Write the ratio for earaser to rulers in simplest

Answers

Answer:

The answer to the question is 5:3:4

What is the answer to the equation

g(x) = 1/5 × (1/3)^x

X = 3

Answers

Step-by-step explanation:

since x=3

1. substitute into the equation

g(3) = 1/5 x (1/3)^3

2. solve

g(3) = 1/5 x (1³/3³)

= 1/5 x (1/27)

= 1/5 x 1/27

= 1/135 (0.00740740741)

(03.06 MC)
Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.(1
point)
O y=-6x - 15
O y = -6x - 20
y=-6x + 15
Oy=-6x + 20
What’s the answer

Answers

Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

Find the solution set for x. x+17>65

Answers

Answer:

Move all terms not containing

x

to the right side of the inequality.

Inequality Form:

x > 48

Interval Notation:

(48,∞)

Hope this helps

Suppose the cost of mailing a letter is $0.23 per ounce plus $0.14. The equation
gives the total cost c of mailing a letter is c = 0.23w + 0.14, where w is the weig
ounces. What is the cost of mailing a 6-ounce letter?

Answers

Answer:

$2.22

Step-by-step explanation:

First, we know that the cost of one mailing letter is $0.23 per once, plus $0.14.

Our formula is: c = 0.23w + 0.14

Let's rewrite our variables to the way it's suppsed to be.

C = cost

W = weight ounces.

Now, we have to add 0.23 plus 0.14 to get our cost.

That equals 0.37.

Now that we know that our cost for one letter is 0.37, we have to multiply

it by 6, because we are trying to figure out the cost of mailing a 6 ounce letter.

0.37 × 6 = 2.22

In conclusion, the cost of mailing a 6 ounce letter is $2.22

Find the common difference of the arithmetic sequence
6.05,6.1,6.15, 6.2

Answers

Answer:

0.05

Step-by-step explanation:

Common difference  = 2nd term - 1st term

                                   = 6.1 - 6.05

                                   = 0.05

Jermaine has to work with the formula, A = L x W , to find the length of his backyard. He needs to rearrange the formula to solve for "L" the length. what would the new formula look like

Answers

l = a x w

Hes trying to find lenth so the equal we be getting a and w's attention

please help with this im really confused and please explain abit with words. please and thanks!

Answers

Step-by-step explanation:

just add all the given angles and equate it with 540° and then find x

x/2 + x/2 + x - 25 + 100 + x - 15 = 540°

3x + 60 = 540°

3x = 540 - 60

x = 480/3

x = 160°

on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.

How to add 6% tax to 30.75

Answers

Answer:

First multiply 30.75 by 0.06 to get a total of about 1.85 . Then and 1.85 to 30.75 to get 32.60.

Step-by-step explanation:

Hope that helps!

Solve for n.
8 = 2(n + 1)

Answers

Answer:

n = 3

Step-by-step explanation:

8 = 2(n + 1)

8 = 2n + 2

6 = 2n

n = 3

N=3
Because you solve the parenthesis and collect like terms which are 2 and 8,then subtract both which leaves you with 6=2n then divide 6 and 2 which gives you 3

What is the length of diagonal RQ?

9.3 in
22 in
18.6 in
11 in

Answers

Assuming the entire quadrilateral is a parallelogram, we can say that using the property of diagonals;

The diagonals of a parallelogram bisect each other, meaning that RQ is divided into two equal parts.

If half of RQ is 9.3 then,

RQ=2×9.3=18.6 in

That's your answer RQ=18.6 in

Answer:

the answer is C.18.6

Step-by-step explanation: i took the  quiz and got it right

(-4)^1 standard form

Answers

Answer:

4x8x4x1x67 it's that cuz I learned

For each expression, select all equivalent expressions from the list.

Answers

Answer:

(a) 7x +6x, (d) 13x(b) 3 +27y, (c) 3·1 +3·9y

Step-by-step explanation:

You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).

Simplify

We can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.

(a) 11x -4x +6x

The simplified version of the given expression is ...

  (11 -4 +6)x = 13x

The other expressions simplify to ...

  7x +6x = (7+6)x = 13x . . . equivalent

  7x -6x = (7 -6)x = 1x = x . . . not equivalent

  13 +x (already simplest) . . . not equivalent

  13x (already simplest) . . . equivalent

(b) 3(1 +9y)

The simplified form of the given expression is ...

  3·1 +3·9y = 3 + 27y

The other expressions simplify to ...

  3 +1·3 +9y = 6 +9y . . . not equivalent

  3 +27y . . . equivalent

  3·1 +3·9y = 3 + 27y . . . equivalent

  3 +9y (already simplest) . . . not equivalent

<95141404393>

Help me!! Interested earned: $39.50 Principal: ? Interest rate: 11% Time: 6 months​

Answers

Step-by-step explanation:

P×R×T/100

39.50×11×0.5/100

195.25/100

1.9525

Find the surface area of a square pyramid with side length 3 km and slant height 4 km.

Answers

Answer:

The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)

A = 4 * 3 / 2 * 4 = 24 km^2

Each triangle has an area of 1/2 * bottom length * height

3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side

The surface area of the square pyramid is 24 km².

What is the surface area of a square pyramid with a slant height?

The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.

Mathematically, it can be expressed as:

Surface Area S.A = P × l/2

where;

Side length (a) = 3Base perimeter (P) = 4a = 4(3) = 12kmSlant length (l) = 4 km

Surface Area (S.A) = 12 × (4/2)

Surface Area (S.A) = 24 km²

Learn about calculating the surface area of a square pyramid here:

https://brainly.com/question/22744289

#SPJ6

can anyone solve this question?? plz help me tommorrow is my exam​

Answers

Answer:

Loss=Rs 80

Loss%=4%

Step-by-step explanation:

Cost price of trousers for Ujeli=Rs2000

Marked price for trousers =Rs 2400

Reduction of MP(take it as discounted) =20%

Selling price=MP-20%of MP=2400 - 20/100 * 2400 = 2400 - 480 = Rs 1920

Loss amount =CP - SP = 2000 - 1920 = Rs 80

Loss% =loss amt/CP *100 =80 / 2000 *100 =4%

Hope this helps!!

Katelyn sells cars at a used car dealer on commission. The car lot pays a 18% commission when the profit on a car is under $400, 22% when the profit is at least $400 and less than $1,000, and 24% when the profit is $1,000 or more. How much will she receive if she sold $800 in profits?

Answers

Answer:

She will receive 22% commission

Step-by-step explanation:

18% commission when the profit on a car is under $400

22% when the profit is at least $400 and less than $1,000

24% when the profit is $1,000 or more.

How much will she receive if she sold $800 in profits?

She will receive 22% commission

$800 profits is greater than $400 but less than $1000

help i need this for rn :( 100 points

Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?

3.25 seconds
3.50 seconds
3.75 seconds
4.00 seconds

Answers

Answer:

Step-by-step explanation:

When the balloons collide, they have the same x and y:

-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15

Rearranging like terms together:

(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0

x^2 - x - 12 = 0

(x - 4)(x +3) = 0

x = 4 or -3

As x represents time, it cannot be negative.

The time when the balloons collide is at 4.00 seconds.

The collision means that y is equal

y=-3x²+24x+3y=-4x²+25x+15

So

-3x²+24x+3=-4x²+25x+15-3x²+4x²+24x-25x=15-3x²-x=12x²-x-12=0(x-4)(x+3)=0x=4,-3

As it's time so must be positive

x=4s

Mark invested $500 for 3 years at 6% per annum. The simple interest Mark received was

Answers

Answer:

$90

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = $500

r = interest rate = 6% = 0.06

t = time = 3 years

I = Prt

I = $500 × 0.06 × 3

I = $90

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