choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4​

y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7

Answers

Answer 1

Answer:

y = 4x +11

Step-by-step explanation:

[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]

Substitute values into point slope form

[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]

Collect like terms and simplify

[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]

Answer 2

Answer:

y=4x + 11

Step-by-step explanation:

y = mx + b

y = 4x + b

-1= 4(-3) + b

b= 11

y= 4x + 11


Related Questions

whats 62.7×2.45......?

Answers

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).

Answers

Answer:

Step-by-step explanation:

A). g(x) = x² - 9x + 14

     Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

    For any parabola opening upwards,

    Right end behavior,

    y → ∞ as x → ∞

B). Let the equation of the linear function is,

    f(x) = mx + b

    Where m = slope of the function

    b = y-intercept

    From the graph attached,

    Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]

    m = -3

    b = -1

    Therefore, function 'f' will be,

    f(x) = (-3)x - 1

    f(x) = -3x - 1    

    g(x) = x² - 9x + 14

           = x² - 7x - 2x + 14

           = x(x - 7) - 2(x - 7)

           = (x - 2)(x - 7)

    If h(x) = f(x)g(x)

    h(x) = -(3x + 1)(x -2)(x - 7)

    For h(x) ≥ 0

    -(3x + 1)(x - 2)(x - 7) ≥ 0

     [tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7

    Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0

C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]

    k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]

    k(x) = -(3x + 1)(x - 7)

    For k(x) = -56

    -(3x + 1)(x - 7) = -56

     3x² -20x - 7 = 56

     3x² - 20x - 63 = 0

     3x² - 27x + 7x - 63 = 0

     3x(x - 9) + 7(x - 9) = 0

     (3x + 7)(x - 9) = 0

     [tex]x=-\frac{7}{3},9[/tex]

How many milliters are in 90 ounces

Answers

Answer:

2661,62 ml

Step-by-step explanation:

can i plz have brainliest :)

What is a reasonable estimate of -3 4/5 + (-5.25) and the actual value?​

Answers

Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2

Answers

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

is 3.4567 irrational or rtional

Answers

3.4567 is irrational

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

which is expression is equivalent to 1/5÷1/2

Answers

Answer:

2.5

Step-by-step explanation:

2.5 because it expression on its equivalent

iiii need heeelllppp with this one

Answers

Step-by-step explanation:

line passes through the point (5,0) and another one (0,3)

equation of the line passing through two points is

x-x1/x2-x1=y-y1/y2-y1

so

x-5/0-5=y-0/3-0

(x-5)*3=y*(-5)

3x-15+5y=0

this is the equation of the line shown in the graph

how to construct cuboid net? what should be the measurement (around 1-5)?

Answers

the measurement should be 4

A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss

Answers

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Help me please I really need help

Answers

Answer:

it doesn't because it's not a set of ordered pairs

is 1.05 a terminating decimal

Answers

Answer:

No

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2

Answers

Answer:

√10 + 2√2 + 3√5 + 6

2√2 + 2√5 + 10

Step-by-step explanation:

Given parameters:

Dimensions of the rectangle:

         √2 + 3  and √5 + 2

Unknown:

Area and Perimeter of the rectangle  = ?

Solution:

  Area of a rectangle = L x W

   Perimeter of a rectangle = 2 (L + W)

Input the parameters and solve;

     Area = (√2 + 3)(√5 + 2)

             = √10 + 2√2 + 3√5 + 6

   Perimeter of a rectangle  = 2(√2 + 3 + √5 + 2)

                                            = 2√2 + 6 + 2√5 + 4

                                           = 2√2 + 2√5 + 10

Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=

Answers

Answer:

a

  [tex]P(shipment\ accepted) =0.6337 [/tex]\

b

   [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

Step-by-step explanation:

from the question we are told that

   The number of boxes N  =  100

     The  number of keyboard in each box is  k =  20  

     The sample size is  n =  5

Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as

     [tex]G  =  \ ^{5}C_1[/tex]

Here  C stands for  combination (Hence in the question we will be making use of the combination functionality in our calculator )

Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as

       [tex]H  =  \ ^{5}C_0[/tex]

Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as

          [tex]F  =  \ ^{20}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]W  =  \ ^{15}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]V  =  \ ^{15}C_4 [/tex]

Generally the probability that a shipment will be accepted is mathematically represented as

 Probability of  0 defect out of  5 + Probability of  1 defect out of 5

Now  

  Probability of  0 defect out of  5 is mathematically represented  as

        [tex]P(A_1) =  \frac{H*W }{ F}[/tex]

=>      [tex]P(A_1) =  \frac{1 *3003 }{ 15504}[/tex]

=>      [tex]P(A_1) =  0.1937[/tex]

And  Probability of  1 defect out of 5 is mathematically represented as

     [tex]P(A_2) =  \frac{ G * V}{ F}[/tex]

 => [tex]P(A_2) =  \frac{ 5 * 1365}{15504}[/tex]  

 =>   [tex]P(A_2) =  0.440[/tex]  

Generally the probability that a shipment will be accepted is mathematically represented as

     [tex]P(shipment\ accepted) =0.1937 +  0.440[/tex]

=>    [tex]P(shipment\ accepted) =0.6337 [/tex]

Generally the probability that this shipment will not be accepted is mathematically represented as

    [tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]

     [tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]  

     [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division

Answers

Answer:

Addition

Step-by-step explanation:

If it has the word "add" in it it's probably addition.

Answer:

The answer is addition.

Step-by-step explanation:

Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible

Answers

the answer is -55 , because you have to simply the 14^2 to 16
For more anwsers for questions like these use math away love even thought the ads might be irritating it’s a great source ✨

what is the answer the question 3? pls help!!

Answers

Answer:

no slope

Step-by-step explanation:

m=y2-y1/x2-x1

(-1)-1=(-2)

7-7=0

(-2)/0 is undifined

there is no slope

hope this helps :3

what are the real and imaginary parts of complex number -6+2i

The real part __
The imaginary part __

HELP ASAP!! WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Real number: -6 (for it is a constant)

Imaginary number is 2 & i (for it does not technically exist).

hope this helps

A Giant Sequoia tree is planted in Trevor's
backyard when it is 2 ft tall. The tree grows an
average of 4 ft each year. Write a function and
graph the height of the tree over this time period.


I need to know the answer and what points to graph please help

Answers

I do not know I’m sporty

Philip wants to know the weight of a book to within half a gram. His weighing scales only weigh to within 10 grammes.
What is the smallest number of identical copies of this book that Philip should weigh together to be able to do this?

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.

Answers

Answer:

649

Step-by-step explanation:

Given that

Mean number of dresses is 5.5

Standard deviation of the sample, S.D is 1.3

Margin of error, M.E is 0.1

Level of confidence is 95% or 0.95

The formula for margin of error, M.E is

Z * (S.D/√n) , where

Z = Value for level of confidence which is 1.96

Proceeding further, we have

0.1 = 1.96 * (1.3/√n)

0.1 = 2.548 / √n, making √n subject of formula, we have

√n = 2.548 / 0.1

√n = 25.48, squaring both sides

n = 25.48²

n = 649.23

Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649

How many sandwiches must you sell to make $100 profit

Answers

Answer:

About 25 sandwiches...

Step-by-step explanation:

Answer:

67 sandwiches

Step-by-step explanation:

If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.

I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.

solve the following equation for a: -g + 3/4a = y

Answers

9514 1404 393

Answer:

  a = (4/3)(y+g)

Step-by-step explanation:

Isolate 'a' term, then multiply by the reciprocal of its coefficient.

  [tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]

Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?

Answers

Answer:

5 days

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

9/2=4.5

rounded 5

The correct Standard Form of the equation y=−2/7x−11/7

Answers

Answer:

y=-(2)/(7)x-5

Step-by-step explanation:

Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.

Answers

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.

Answers

Answer:

can you shorten down the question its too long to understand

Step-by-step explanation:

Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.

Answers

Answer:

90 minutes

Step-by-step explanation:

Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.

Alice has x dollars in her bank account. She deposits $75 in her account. After the deposit, the account has $550. Write an equation that could be used to figure out how much money was in her account before the deposit.

Answers

Answer:

$475

Step-by-step explanation:

$550 - $75 = $475

$475 = x

Answer:

The answer would be  $550-$75

Step-by-step explanation:

This would give you how much money was in her account before she adds the deposit.

What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1

Answers

Answer:

-6

Step-by-step explanation:

6x + y = -1

y = -6x-1

slope which is m is -6

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