what is the value of y for the line that has a slope of 1 and goes through the points (-4,y) and(-2,8)​

Answers

Answer 1

Answer:

y = 6

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:

[tex]1=\dfrac{8-y}{-2-(-4)}[/tex]

[tex]1=\dfrac{8-y}{2}[/tex]         multiply both sides by 2

[tex]2=8-y[/tex]         subtract 8 from both sides

[tex]-6=-y[/tex]          change the signs

[tex]6=y\to y=6[/tex]


Related Questions

2x^2 -19x + 35 =0
Factor

Answers

Answer:

(-x+7) (-2x+5) are the factor of 2x²-19x+35=0

which quadratic equation is equivalent to (x^2-1)^2 -11(x^2-1)+24=0
A)u^2-11u+24=0 where u=(x^2-1)
B) (u^2)^2 -11(u^2) +24 where u = (x^2-1)
C)u^2+1-11u+24 =0 where u =(x^2-1)
D)(u^2-1)^2 -11(u^2-1) +24 where u =(x^2-1)​

Answers

Answer:

[tex]\large\boxed{A)\ u^2-11u+24=0}[/tex]

Step-by-step explanation:

[tex](x^2-1)^2 -11(x^2-1)+24=0\\\\\text{Substitute}\ (x^2-1)=u\\\\\underbrace{(x^2-1)}_{u}\ ^2 -11\underbrace{(x^2-1)}_{u}+24=0\to u^2-11u+24=0[/tex]

Answer:  The correct option is

(A) [tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]

Step-by-step explanation:  We are given to select the correct quadratic equation that is equivalent to the following equation :

[tex](x^2-1)^2-11(x^2-1)+24=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Let us consider that

[tex]u=x^2-1.[/tex]

Substituting the value of u in equation (i), we get

[tex](x^2-1)^2-11(x^2-1)+24=0\\\\\Rightarrow u^2-11u+24=0.[/tex]

Thus, the required equivalent quadratic equation is

[tex]u^2-11u+24=0,~~\textup{where }u=(x^2-1).[/tex]

Option (A) is CORRECT.

9...................

Answers

For this case we must evaluate the following expression:

[tex]\sqrt [4] {16}[/tex]

We have by definition of properties of powers and roots that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

On the other hand, we can rewrite the 16 as:

[tex]16 = 2 * 2 * 2 * 2 = 2 ^ 4[/tex]

So:

[tex]\sqrt [4] {16} = \sqrt [4] {2 ^ 4} = 2 ^ {\frac {4} {4}} = 2 ^ 1 = 2[/tex]

ANswer:

Option D

The probability of giving birth to a boy is 1/2. What is the probability that a family with 5 children will have at least 2 boys?
a)about 81.3%
b)about 76.9%
c)about 62.5%
d)about 90.3%

Answers

Answer:

0.78

Step-by-step explanation:

"The probability that a family with 5 children will have at least 2 boys" is equivalent to the complement 1 - P(family will have 1 or 0 boys).

We can use a calculator with statistical functions built in to calculate this probability.  The function needed is for binomial probability:  binom(n, p, x).

P(family will have 1 or 0 boys) = binomcdf(5, 0.5, {0, 1} ) produces two results:  one the probab. of having 0 boys and one the probab. of having 1 boy:  0.03125 and 0.1875.  We add these together, obtaining 0.21875.

Then we subtract this result from 1 to obtain The probability that a family with 5 children will have at least 2 boys:  1 - 0.21875 = 0.78125, which may be reasonably rounded off to 0.78.

Answer:

81.3%.

Step-by-step explanation:

This is  Binomial probability.

Prob( Getting 1 boy) = 5C1 (1/2)^5

= 0.156

Prob ( Getting all girls = 5C5  (1/2)^5

= .031.

So Prob( at least 2 boys = 1 - (0.156 + 0.031)

= 0.813

= 81.3%.

solve the system of equations using subsitutions. x-4y=111 and 2y-x=-7

Answers

Answer:

[tex]\frac{x}{4}-\frac{111}{4}\\x=2y+7[/tex]

I'm pretty sure this is correct!

Answer:

(- 97, - 52)

Step-by-step explanation:

given the 2 equations

x - 4y = 111 → (1)

2y - x = - 7 → (2)

Rearrange (1) expressing x in terms of y by adding 4y to both sides

x = 111 + 4y → (3)

Substitute x = 111 + 4y into (2)

2y - (111 + 4y ) = - 7 ← distribute and simplify left side

2y - 111 - 4y = - 7

- 2y - 111 = - 7 ( add 111 to both sides )

- 2y = 104 ( divide both sides by - 2 )

y = - 52

Substitute y = - 52 into (3) for corresponding value of x

x = 111 + 4(- 52) = 111 - 208 = -97

Solution is ( - 97, - 52 )

Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potaoes. How many potaoes and carrots does mark need for 15 servings?

Answers

Answer:

10 carrots and 5 potatoes

Step-by-step explanation:

1) 15÷6=2.5

2)4 x 2.5=10

3)2 x 2.5=5

Identify the sequence 3,888, 216, 12, 2/3... as arithmetic, geometric, neither, or both.

A: arithmetic

B: geometric

C: neither

D: both

Answers

It is a geometric sequence but not an arithmetic sequence. So the answer is B

How would u convert 3 yards 2 feet into inches

Answers

a yard = 3 feet, a foot =12 in, so 3 yardsx3 feet would be 9 feet, plus the 2 other feet, would be 11, times 12 inches, would be 132 inches.

Answer:

The correct answer is 3 yards 2 feet = 132 inches

Step-by-step explanation:

Points to remember

1 Yard = 3 foot

1 foot = 12 inches

It is given that,  3 yards 2 feet we have to convert it into inches.

To convert into inches

3 yards to feet

we have, 1 Yard = 3 foot

3 yards = 3 * 3 = 9 feet

3 yards 2 feet = 9 feet + 2 feet = 11 feet

11 feet to inches

1 foot = 12 inches

11 feet = 11 * 12 = 132 inches

Choose the inequality in that represents the following graph

Answers

Final answer:

The inequality is determined by examining the graph, identifying the lines, their slopes and determining if they are increasing or decreasing. Positive slopes are for increasing lines and negative slopes are for decreasing lines. Inequalities should represent the identified lines and their slopes.

Explanation:

From your question, it seems that there's a graph involved depicting certain lines and you're supposed to choose an inequality that represents the graph. As per the given information that line A is decreasing and line B is increasing, it sounds like these lines may represent an inequality on the coordinate plane. Consider the slope of line A and line B. If one is steeper than the other, the steeper slope has a larger absolute value. An increasing line indicates a positive slope, while a decreasing line indicates a negative slope. For example, if line A is y < -2x + 3 (negative slope, line decreasing) and line B is [tex]y > 5x + 1[/tex](positive slope, line increasing), the inequality would be [tex]y > 5x + 1 - y < -2x + 3.[/tex]For a precise and correct answer, you need to analyze the graph, identify lines, intercepts, slopes, and shading to form the correct inequality.

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Plz help!!!!!!!!!!!!!

Answers

Answer:  The correct answer is -2,5/2 which is the last answer.

Step-by-step explanation:

* Hopefully the work below helps:)Mark me the brainliest:)!!

Answer:   [tex]\bold{\{-2, \dfrac{5}{2}\}}[/tex]

Step-by-step explanation:

2x² - x - 10 = 0

Replace -x with 4x - 5x and factor using Grouping Method:

2x² + 4x  -5x - 10   = 0

2x(x + 2)  -5(x + 2) = 0

(2x - 5) (x + 2) = 0

2x - 5 = 0   and    x + 2 = 0

2x = 5         and    x = -2

x = 5/2

a tree 3 feet tall grows 8% each year . how tall will the tree be at the end of 14 years ? round the answer to the nearest hundredth

Answers

Answer:

33.61 ft

Step-by-step explanation:

First you find the product of 3ft and 8%

3.0(0.8)=2.4

Then you find the product of 2.4 and 14years

2.4(14)=33.61

Final answer:

Using the formula for exponential growth, a tree that is initially 3 feet tall and grows at a rate of 8% per year would be approximately 5.23 feet tall at the end of 14 years.

Explanation:

To solve this problem, we can use the formula for exponential growth: Final amount = Initial amount * (1 + Growth rate) ^ Number of periods.

The initial height of the tree is given as 3 feet. This is our initial amount. The growth rate is 8% per year, so we represent this as 0.08 in our formula. The number of periods is 14 years.

So, we have:

Final height = 3 * (1 + 0.08) ^ 14

To find the final height, we multiply 3 by 1.08 raised to the power of 14. Doing the math, the tree would be approximately 5.23 feet tall at the end of 14 years, rounded to the nearest hundredth.

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Li rolls a pair of number cubes twice. On both rolls, the sum is 7. Are the rolls dependent or independent events?

Answers

Answer:

these are independent

Step-by-step explanation:

Independent- the first roll does not affect the second

HELPP ASSAP WILL MARK BRAINIEST

Answers

Answer:

Step-by-step explanation:

H=7+30t-16t²

20=-16t²+30t+7

0=-16t²+30t-13

T=(-30±√(900-4(16)13))/-32

T=0.68 s or T=1.2 s

Answer:

Step-by-step explanation:

PLEASE HELP

City A and city B each have 10 parks. The table shows the number of acres for each park in the two cities.

City A : 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5

Select from the drop-down menus to correctly complete each statement.

The mean number of acres for each park for the two cities is:
A. About the same
B. Much greater for City A than for City B
C. Much greater for City B than for City A

The range for the number of acres for parks for the two cities is:
A. The same
B. Greater for City A than for City B
C. Much greater for City B than for City A

Answers

I think the answer is c

The mean number of acres for each park for the two cities is:

City A: 7.5

City B: 7.3

Hence, It is Much greater for City A than for City B.

And, The range for the number of acres for parks for the two cities is : 8

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The table shows the number of acres for each park in the two cities.

City A:  6   9   10   7   10   10   2   5   8   8

City B :  5   10   8   11    7    12   6   5   4   5

For City A:

Minimum acre of park = 2

Maximum acre of park = 10

Hence, Range = Maximum-Minimum

Range = 10-2

Range = 8

Now mean is calculated as:

Mean = 6 + 9 + 10 + 7 + 10 + 10 + 2 + 5 + 8 + 8 / 10

          = 75/10

          = 7.5

For City B:

Minimum acre of park = 4

Maximum acre of park = 12

Hence, Range = Maximum-Minimum

Range = 12-4

Range = 8

Now mean is calculated as:

Mean = 5 + 10 + 8 + 11 + 7 + 12+ 6 + 5+ 4 + 5 / 10

         = 73/10

         = 7.3

Hence, The mean number of acres for each park for the two cities is:

City A: 7.5

City B: 7.3

Hence, It is Much greater for City A than for City B.

And, The range for the number of acres for parks for the two cities is : 8

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oc is perpendicular to ab

Answers

Since OC is perpendicular to AB, the line AB gets split evenly. So

[tex]ab = 2ac[/tex]

So AB=2*6.7=13.4

Ans: Option B, 13.4 units

Length of ab is B. 13.4 units

What is a circle?A closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre" is called a circle.In a circle the length of the chord is bisected by the perpendicular joining the center.How to find the length of ab?

According to the problem,

ab is the chord.oc is perpendicular to ab

∴ OC should bisect AB

Length of AC = Length of BC = 6.7 units

Length of AB = 13.4 units.

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Can you please help me asp because I am really confuse !. Plus you get 14 points!!

Answers

Answer:

1. B

2. 2 and 1/8 cups

Step-by-step explanation:

You just had to make common denominators and then your would subtract

Answer:

1) B

2) 2 1/8 cups

Step-by-step explanation:

1) make the denominator the same so it is 5 4/12 minus 2 9/12. You get 2 7/12 which is greater than 2 1/2 (2 6/12) and smaller th an 3

2) 8 7/8 minus 6 3/4 is equivalent to 8 7/8 minus 6 6/8 which is 2 1/8

All done mentally.

I have another one!
(6m−7)⋅4
Thanks!!

Answers

4*6m=24m

-7*4=-28

24m -28

Answer:

24m-28

Step-by-step explanation:

pleasssssssss heeeelllllpppppp!!!! Bethany attached two cubes side by side.


What is the volume of the entire figure?

36 in 3

74 in 3

468 in 3

720 in 3

Answers

Answer:

468

Step-by-step explanation:

The volume of a cube is V = s³. Fin the volume of each cube separately and add together for the volume all together.

The small cube has side length 5 so V = 5³ = 125.

The large cube has side length 7 since 12 - 5 = 7. So V = 7³ = 343.

Together the volume is 125 + 343 = 468

Answer:

468

Step-by-step explanation:

Please help ASAP! Which answer is the correct one?


a survey asked 60 students if they play an instrument and if they are in band


1.- 35 students play and instrument

2.- 30 students are in band

3.- 30 students are not in band.


which table shows these dates correctly entered in a two way frequency table?

Answers

Answer:

A

Step-by-step explanation:

B doesn't work because you can have people who are in a band and not in a band at the same time, which is showing in the first spot

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Number of students asked in a survey = 60

Number of students who play an instrument = 35

Number of students who are in band = 30

Number of students who are not in band = 30

So, the two way frequency table would be :

                                          Play instrument     Not play instrument    Total

In band                                       30                             0                           30

Not in band                                  5                             25                          30

Total                                          35                             25                           60

Hence, option 'a' is correct.

f(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​

Answers

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

evaluate the expression 2x/y for x= -28 and y =-7

Answers

[tex] \frac{2x}{y} \: x = - 28 \: y = - 7[/tex]

[tex]2( - 28) \div ( - 7)[/tex]

[tex] \frac{ - 56}{ - 7} [/tex]

[tex] = 8[/tex]

The simplification of the given expression for x= -28 and y =-7 is 8.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is 2x/y.

Substiute the given values;

x= -28 and y =-7

Then, 2x / y = 2(-28) / -7

= -56 / -7

= 8

Hence, the simplification of the given expression for x= -28 and y =-7 is 8.

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How much profit does she make

Answers

I believe the answer is A.

20 points! Write the expression in simplest form.
(-11/2 x + 3) - 2(-11/4 x - 5/2) =

Answers

Answer: 11x+ 8

Step-by-step explanation:

Maria earns a 15% commission on her car sales. How much commission would Mariabearn on a sale of $23,000?

Answers

Answer:

$3,450

Step-by-step explanation:

As Maria earns 15% commission, a car sale of $23,000 would lead to a $3,450 commission. This can be achieved by multiplying .15 (15% translated into a decimal) to the total car sale of $23,000.

x = commission

x = 23,000 * (.15) = 3,450

Final answer:

Maria would earn a commission of $3,450 on a sale of a car priced at $23,000, calculated by multiplying the sale amount by her 15% commission rate.

Explanation:

Maria earns a 15% commission on her car sales. If she sells a car for $23,000, her commission is calculated by multiplying the total sale amount by the commission rate. To find the commission, use the following formula:

Commission = Sale Amount × Commission Rate

Commission = $23,000 × 0.15

Commission = $3,450

Therefore, Maria would earn a commission of $3,450 on a sale of $23,000.

What is the distance from A to B?

A) 7

B) 8

C) 15

D) 17

I’m not too sure

Answers

Answer:

A. 7

Step-by-step explanation:

count the squares

Answer:

The answer is A

Step-by-step explanation:

Each square on the grid is 1 unit, and the distance from A to B is 7 squares which is 7 units

URGENT!!! WILL AWARD ALL POINTS Which expression is equivalent to sin(2β)sinβ for all values of β for which sin(2β)sinβ is defined?

Select the correct answer below:


2sin2β−tan2β

cot2β−2cos2β

1−tan2β

csc2β−2

2cosβ

Answers

Answer:

sin2b sin b

2 sin b cos b sin b

2 cos b sin^2 b

1−cos2b cos b

1- (2cos^2 b−1) cosb

2 cos beta

Answer:2sin =bahsyg=a=78sinb-7823sin=   1-tan2b

Solve the equation 9b2 + 30b + 25 =0

Answers

Answer:

C. b = -5/3

Step-by-step explanation:

9b2 + 30b + 25 =0

(3b)^2 + 30b +(5)^2  = 0  <---perfect square

(3b + 5)^2 = 0

(3b + 5) = 0

3b = -5

 b = -5/3

Answer

C. b = -5/3

Answer:

C. b = -5/3

Step-by-step explanation:

9b² + 30b + 25 = 0

We can factor: two numbers that add up to 30 and its' product is 225: 15 & 15.

So we have 9b² + 15b + 15b + 25 = 0.

We can change this to (3b + 5) (3b + 5), or (3b + 5)².

This means there is only one solution: 3b + 5 = 0.

This can be turned into 3b = -5 -> b = -5/3.

Answer this for 20 pts and brainliest!!!!! (Please hurry up! "I am in a hurry!)

Answers

When there was no snow fall, the line would be flat ( horizontal).

There was no snow Between 3:30 pm and 2:00 pm.

Answer:

12:30 pm to 1:00 pm.

Step-by-step explanation:

Hope this helps you.

Translate the sentence into an equation. Twice the difference of a number and 4 equals 5 . Use the variable x for the unknown number.

Answers

Answer:

2(x-4) = 5

Step-by-step explanation:

2(x-4) = 5 since the difference of a number and 4 translates to x-4 and twice the difference translates to 2(x-4).

The required equation is, 2(x-4) = 5

What is equation ?

It is a mathematical statement which contains two algebraic expressions on both sides of an ' = ' sign.

Equation shows the equality between the expressions in left hand and right hand side.

What is the required equation ?

According to the problem, the variable for the unknown number = x

Now we have to establish the equation.

Difference between x & 4 = (x-4)

Twice the difference between x & 4 = 2(x-4)

Twice the difference between x & 4 is equals to 5.

∴ The equation is, 2(x-4) = 5

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Solve.

y = 2x + 3
x + y = 6

Please show work so I can understand how to solve this equation.

Answers

Answer:

x=1

Step-by-step explanation:

you would substitute the first equation in for the y in the second equation

x + 2x+3 =6

then you would combine the x's

3x +3 = 6

Then you would move the 3 to the other side with the six

3x =6-3       3x = 3

Then finally you would divide the three

3x/3 = 3/3   x=1

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