what is the solution for this system of equations?
y= -1/4x + 6
y= x+1​

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

  -1/4x +6 = x +1

  5 = 5/4x . . . . . . . add 1/4x-1

  4 = x . . . . . . . . . . multiply by 4/5

  y = x +1 = 4 +1

  y = 5

The solution is (x, y) = (4, 5).

What Is The Solution For This System Of Equations? Y= -1/4x + 6y= X+1

Related Questions

PLEASE ANSWER ASASP!!!!!!!!!!!!
Which of the following are equivalent to 3(p + 2)?
a. 6 + 3p
b. 3p + 2
c. 5p
d. 9p

Answers

Answer:

a) 6 + 3p

Step-by-step explanation:

Use distributive property: a*(b + c) = a*b + a*c

3(p + 2) = 3*p+ 3*2

             = 3p + 6

Answer:

b. 3p + 2

Step-by-step explanation:

The next two terms are
and

Answers

Answer:

The next two terms are  92 and 105.

Step-by-step explanation:

79 + 13 = 92

92 + 13 = 105

PLEASE HELP PLATO ALGEBRA 2 Select ALL the correct answers.

Answers

Answer:

I think B and C

Step-by-step explanation:

Sorry if I got rong but..

hopes it helps

A pizza will be split among 3 friends.
What amount of pizza will each
friend receive?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming this pizza has 8 slices, which is about average solve this problem using division.

Eight slices divided by three friends

8/3

If rounding to whole slices, each friend could have two pieces. If not, each friend could have 2.667 pieces.

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.15 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 11.19

Answers

Answer:

97.5% of American women have shoe sized less than 11.19

Step-by-step explanation:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.15)/1.52

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

100-2.35-0.15

= 100-2.5 = 97.5%

Write a polynomial function in standard form with given zero x=1,-2,-7

Answers

Answer:

f(x) = x³ + 8x² + 5x - 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Binomial Roots

Step-by-step explanation:

Step 1: Define

Zeros x = 1, -2, -7

Step 2: Find Polynomial

Rewrite zeros:                           f(x) = (x - 1)(x + 2)(x + 7)Expand [FOIL]:                           f(x) = (x² + 2x - x - 2)(x + 7)Combine like terms (x):             f(x) = (x² + x - 2)(x + 7)Expand [Distribute]:                  f(x) = x³ + x² - 2x + 7x² + 7x - 14Combine like terms (x²):           f(x) = x³ + 8x² - 2x + 7x - 14Combine like terms (x):             f(x) = x³ + 8x² + 5x - 14

2)
Write an equivalent form of the exponential
expression:
(x4)3

Answers

3x^4 .. have the 4 going up by 3x

The high school theater is putting on a production of their annual shows. The first night they brought in $4200. They are charging $8 for each adult ticket and $5 for each student ticket. The theater seats 800 people but due to the pandemic they can only havd 75% capacity. How many students and adult tickets did they sell?

PLEASE HELP

Answers

Answer:

75 student tickets and 525 adult tickets

Step-by-step explanation:

Select the correct answer. You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information? (A. 0) (B. 1) (C. 2) (D. 3)​

Answers

C is the right answer I believe

Answer:

The answer is B.1

Evaluate y3 if y = 4 what is the answer

Answers

Answer: y3 = y= 4. 4 x3 =12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you would replace y with 4 and that leaves you with

(4)3= 12

Good luck have a good rest of your day!

A local little league has a total of 60 players, of whom 40% were left handed. How many left handed players were there?

Answers

Answer:

24

Step-by-step explanation:

60 x 0.4 = 24 players

10% of 60 = 6
6 x 4 = 24

24 players were left handed.

Please help me answer this

Explain you’re answer

Will give braisnlt

Answers

Answer:

Concept: Math Analysis

So we want the cost of a 8 × 10 Notice the price distribution So 1.50

(4x-8)-(-3x + 10)
HELP

Answers

Answer:

7x-18

Step-by-step explanation:

brainlliest plz

7x-18 i think so ...

A farmer owns 24 acres of land. He plans to use 6 acres for an entrance into the farm and divide the remaining land into 1/3 acre lots. How many 1/3 acre lots will he have?

Answers

Answer:

54 one-third acre lots

Step-by-step explanation:

24 - 6 = 18

18 ÷ 1/3  =  18 × 3 = 54

Answer: 54

Step-by-step explanation:The remaining portion to be divided into 1/3 acre lots is the difference between the number of acres owned by the farmer and the number of arces used for the entrance. This difference is

= 24 arces - 6 arces

= 18 acres

These acres is to be divided into 1/3 arce then the number of 1/3 arce loits that will be available

= 18 ÷ 1/3

= 18 × 3/1

= 54

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. Write a fraction representing the remaining cupcakes to the original amount of cupcakes.

Answers

Answer:

3/25 remaining cupcakes

Step-by-step explanation:

Simplify (3^-2/3•3^1/3)^-1 using rational exponents

Answers

the simplified answer to this equation would be 3

Help solve for X

Please ignore the other scribbles in pencil.

Thanks

Answers

Answer:

The correct answer is X=5

I'm 10000000000% sure

Answer:

x = 5

Step-by-step explanation:

First, to get rid of the fraction, multiply both sides of the equation by x.

— (14.8/x + 2.4) * x = 5.36 * x

— 14.8 + 2.4x = 5.36x

Next, subtract 2.4x from both sides of the equation.

— 14.8 + 2.4x - 2.4x = 5.36x - 2.4x

— 14.8 = 2.96x

Now, divide both sides of the equation by 2.96.

— 14.8/2.96 = 2.96x/2.96

— 5 = x

What is the gear ratio of a 10 tooth gear driving a 40 tooth gear?

Answers

Answer:

4

Step-by-step explanation:

40/10=4

Answer: 4

Step-by-step explanation:

40/10=4

12 + x + 13 what is x

Answers

Answer:

25x

Step-by-step explanation:

Answer:

You cant find the value of x but here is the simplified version :

x+25

There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is σ = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n (2/sqrt(20) = 0.557 hours)?

Answers

Answer:

Yes

Step-by-step explanation:

The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.

It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means  regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .

Therefore

(standard deviation/ √sample size)²= variance / n

2/ √20

= 2/4.472

=0.44721

The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n and this can be determined by finding the mean and standard deviation for the distribution of the sample means.

Given :

There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night.They find that the mean amount of sleep is 6.7 hours.The population standard deviation is σ = 2 hours.

The mean for the distribution of the sample means is given by:

[tex]\mu_x = \mu[/tex]

[tex]\mu_x = 6.7[/tex]

The standard deviation for the distribution of the sample means is given by:

[tex]\rm \sigma_x = \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\sigma_x = \dfrac{2}{\sqrt{20} }[/tex]

[tex]\sigma_x = 0.44721[/tex]

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n.

For more information, refer to the link given below:

https://brainly.com/question/17716064

help i can't figure this out it's algebra​

Answers

Step-by-step explanation:

Part A:

The maximum point is (2.5, 2531.25). This represents that $2.5 should be decreased from the original price to achieve the most profit from t-shirt sales.

Part B:

The y-intercept is seen to be around (0, 2500). This tells us that the profit made from the original price is $2500.

Part C:

Yes. The point (25, 0) is a solution. It tells us that if we decreased the original price by $25, we would make no/zero profit.

Answer:

Step-by-step explanation:

A. The optimal decrease in price to gain the maximum profit in sale:

Meaning if you reduce the price by $2.5, you will gain the maximum profit of $2531.25

B. It represents the amount of profit without any change in the current price on the t-shirt.

By shifting and expanding the original equation [tex]y=-x^{2}\\[/tex]

[tex]y = -5(x-2.5)^{2} + 2531.25[/tex]

[tex]x = 0 => y = 2500[/tex]

C. The solution is as in part B

It represents by reducing the price of each t-shirt, there is an initial increase in profit but eventually it will drop.

The waiting time for a bus has a uniform distribution between 2 and 13 minutes. What is the probability that the waiting time for this bus is less than 4.5 minutes on a given day

Answers

Answer: 0.2273

Step-by-step explanation:

Probability density function for uniform distribution is given by :-

[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].

Let x denotes the waiting time for this bus.

Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.

Probability distribution function of x for interval [2,13] will be :-

[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]

Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]

[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]

Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273

Which of these could not be used to prove that the base angles of an isosceles
triangle are congruent? HELP PLEASE

Answers

Answer:

B.

Step-by-step explanation:

Answer is B.

Draw a perpendicular bisector from vertex C to segment AB .

Then use SAS to show that the two triangles formed are congruent .

Then corresponding angles to will be congruent.

The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft tall. How far from the front of the house is the support post positioned?

Answers

Answer:

The support post positioned 23 feet far from the front of the house

Step-by-step explanation:

According to Pythagoras Theorem

(Hypotenuse)² = (Base)² + ( Perpendicular)²

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² -  ( Perpendicular)²

Taking under root on both sides

Base =  √(Hypotenuse)² -  ( Perpendicular)²

Base =  √ (625 - 100)

Base = √525

Base = 23 feet

Help me please I’m new to this

Answers

Answer:

I believe it's irrational, Integer, and Whole Number

Note: I'm a bit rusty lol

Hope this helps you out! Have a great rest of your day! :)

It’s irrational because it’s not a perfect square.

Find the value of x in the triangle shown below.
7
3
2
Choose 1 answer:
(A) =
21
X = 158
B
© X = 10
OX= 58


I NEED HELP ASAP IN KHAN ACADEMY!

Answers

Answer:

its root 58 ,h=√psquare + b square =√7square+3square=root58

Calculate (Round two decimal places for final answer):4 gallons (gal) = ___________ liters (L).

Answers

Answer:

I believe your answer is 15.14 liters

Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

37+4x=55.50+6x....zzz

Answer:

Step-by-step explanation:

3.2

Please help! You get all my points!

Answers

Answer: 28269

Step-by-step explanation:

I used a calculator, but Callie messed up when instead of writing 120 (3*4), it should've been 1200 because u add a 0 every time you go down.

Hope this helps :)

Complete the table part 1.

Answers

6, 12, 18, 24, and 30

Answer:

answer will multiple of 6 till 5 because each 10 contain 6 so ans is 6,12,18,24,30

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