Which are the intercepts of the equation y+2=4(x+1) ?

Which Are The Intercepts Of The Equation Y+2=4(x+1) ?

Answers

Answer 1

Answer:

x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])

Step-by-step explanation:

How do we find the y-intercept of a function?

We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]

First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably

[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]

Now let's plug in 0 for x to find the y-intercept:

[tex]y = 4\cdot 0 + 2\\y = 2[/tex]

How do we find the x-intercept of a function?

We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])

[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]

We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.

That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])

This corresponds to the 3rd option counting from the left.

Good luck!


Related Questions

I need help it’s for math!!!

Answers

Answer:

anybody agree that its c

Step-by-step explanation:

Quick question. Is the term “at least” < with equal sign or > with equal sign?

Answers

Answer:

if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”

I hope this helped!!

OH and have a merry Christma!!!!!

I only need the answer to the question. Thank you!

Answers

Answer:

10

Step-by-step explanation:

refer attachment for detailed answer

An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use the green clay during the week. At the end of the week, the remaining green clay weighed 18 grams.

Answers

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

Solve the equation.

-0.06 m = 7.2

m =

Answers

Answer: -120

Hope this helps!!

Answer:

-120

Step-by-step explanation:

Graph the equation on the coordinate plane.
y=1/2x

Answers

Here is how the graph would look!
Hope this helps :)

Answer:

hope this helps

Step-by-step explanation:

Carmen is 5 1 ··4 years younger than Antoine. Katy is 11 1 ··2 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age?

Answers

Let, age of Carmen, Antoine and Katy is C, A and K.

And it is given that :

[tex]A - C = 5\dfrac{1}{4}[/tex]                …1)

[tex]K-C = 11 \dfrac{1}{2}[/tex]              ...2)

We need to find the difference in Antoine's age and Katy's age.

Subtracting equation 2) from 1), we get :

[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]

Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.

6.4 divided by 208 What is the quotient for the equation above?

Answers

Answer:

0.030769

Step-by-step explanation:

PLEASE help me with this <3

Answers

Answer:500 miles

Step-by-step explanation:

500 miles I got it right

#SaveThePillows

I wanna be in a gc someone add me to one

Sc-maddison_camp20

Ig- mads_070

Answers

20 words be annoying

Which expression is equal to 6^4? 10
24
4^6
6⋅6⋅6⋅6

Answers

Answer:

6⋅6⋅6⋅6

Explanation: The  exponent refers to the number of times a number is multiplied by itself.  6^4 represents that 6 is being multiplied 4 times.

[tex]6^{4}[/tex]

Base ⇒ 6

Exponent ⇒ 4

The distance between Dallas and San Antonio is on a map is 13.7 inches. If 2 inches = 40 miles, what is the distance, in miles, from Dallas to San Antonio?

Answers

Answer:

Distance= 308 miles

Step-by-step explanation:

Giving the following information:

The distance between Dallas and San Antonio is on a map is 13.7 inches.

2 inches = 40 miles

To calculate the distance between Dallas and San Antonio, we will use the following formula:

Distance= (12/2)*40 + 1.7*40

Distance= 308 miles

12/2= first 12 inches

Helppppppppppppppppppp

Answers

Answer:

1/8^4

Step-by-step explanation:

when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4

What is the area of half of a circle with a diameter of 3.5cm, round to the nearest hundredth, if
necessary?
a. 38.47 cm2
b. 19.23 cm2
c. 9.62 cm2
d. 4.81 cm2

Answers

The answer is 9.621 cm

Answer:

I think it is A (38.47)

Step-by-step explanation:

I believe this because I had a math qouiston like this and when I found this A was the only comen answer and when I clicked on my 38.47 I was right

Find the values of x in [0, 360°) which satisfy the
equation below.
2 cota x = -3 SC X

Answers

Given :

An equation 2cot x = -3sec x .

To Find :

the values of x in [0, 360°) which satisfy the given equation.

Solution :

Converting cot x and sec x in the form of sin x and cos x.

[tex]\dfrac{2cos \ x}{sin\ x}= \dfrac{-3}{cosx}\\\\2cos^2 x +3 sin\ x =0\\\\2( 1 - sin^2 x ) + 3sin \ x = 0 \\\\2sin^2 x -3sin\ x -2 = 0\\\\2sin^2\x -4sin\ x + sin\ x -2 = 0\\\\2sin\ x( sin\ x - 2 )+ 1( sin \ x - 2 ) = 0\\\\sin \ x = \dfrac{-1}{2} \ or\ sin \ x = 2[/tex]

Neglecting sin x = 2 because sin x cannot be greater than 1.

x = π - π/6, π + π/6

x = 5π/6 and x = 7π /6

Therefore, the values of x in [0,360°) is  5π/6 and x = 7π /6 .

Someone please help me I’m really struggling
I will give brainliest

Answers

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pi π = 3.14...

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Radius: r = d/2Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Substitute [R]:                    r = 19 cm/2Divide:                                r = 9.5 cmSubstitute [SAS]:               SA = 4π(9.5 cm)²Exponents:                        SA = 4π(90.25 cm²)Multiply:                             SA = 361π cm²Multiply:                             SA = 1134.11 cm²Round:                               SA ≈ 1134 cm²

The Ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chair?There are 330 walnuts in 6 bags. If each bag has the same number of walnuts, how many walnuts are in 2 bags? Which is a unit rate? A 47¢ for 2 pens B 20 gallons for 2 hours C 15 hours for 3 months D 18 miles driven in a week

Answers

Step-by-step explanation:

Quesion 1

The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs

hence, cost per chair= 150/50= $3 per chair

Question 2

let us find the number of walnuts per bag

= 330/6

=55 walnuts per bag

hence in two bags there will be 55*2= 110 walnuts

Question 3

Option D is an example of a unit rate.

The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week

Robert started to save money to purchase a new game console. His savings at the end of the first week included a jar of 368 nickels and dimes. The total value of the coins was $24.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?


a. n+ d = 368
5n + 10d = 24.40

b. n+ d = 24.40
0.05n + 0.10d = 368

c. n + d = 368
0.05n + 0.10d = 24.40

d. n + 9 = 368
0.5n + 0.10d = 24.40

Answers

Answer:

0.05n + 0.10 d =24.40

Step-by-step explanation:

Nickel is worth 0.05 of a dollar(1)

The system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week is:

n + d = 368

0.05n + 0.10d = 24.40

The number of nickels and dimes Anthony saved at the end of the first week can be determined using two equations. This is known as simultaneous equations.

The total number of nickels and dimes in the jar is 368. This can be represented with the equation:

nickels + dimes = 368

n + d = 368. This would be the first equation.

A nickel is equal to 0.05 of a dollar and a dime is equal to 0.1 of a dollar. The total sum of money in the jar is $24.40. This means that the value of dimes and nickels in the jar is $24.40. This can be represented with the equation: 0.05n + 0.10d = 24.40. This is the second equation.

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Can anyone help me with this question? Thank you!

Answers

I agree the best option is B.)

PLEASEEEEEE HELPPPPP!

Answers

Answer:

2

Step-by-step explanation:

option 2 !! :)) , have a wonderful day

What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
-7
3
0
4​

Answers

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

PLEASE I ONLY HAVE 5 MINS TO FINISH THIS!!!!!!!!!!!

Answers

50 !

hope this helps :)

Please answer ASAP! A function graphed f(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box.

Answers

y = 2x + 1 or f(x) = 2x + 1

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)

Answers

Answer:

Area of each piece = 104 [tex]cm^{2}[/tex]

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

[tex]Area = Length \times Width[/tex]

Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]

Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]

To find the possible dimensions, we need to find the factors of 104.

104 = 26 [tex]\times[/tex] 4

104 = 13 [tex]\times[/tex]  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

1/b+x=3b/2x^2 - 1/x
btw ^2 means square

Answers

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]

[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Tickets for 2 adults and 4 children at a theme park cost £152.

An adult ticket costs twice as much as a child ticket.

Write and solve an equation to work out the price of an adult ticket​

Answers

hope it helps!!!!

please mark brainliest

Answer:

The price of adult ticket is £38.

Step-by-step explanation:

First, you have to form equations in terms of a (adult) and c (child) :

[tex]2a + 4c = 152 - - - (1)[/tex]

[tex]a = 2c - - - (2)[/tex]

Next, you have to solve these equations by substitution :

[tex](2)→(1)[/tex]

[tex]2(2c) + 4c = 152[/tex]

[tex]8c = 152[/tex]

[tex]c = 152 \div 8[/tex]

[tex]c = 19[/tex]

[tex]substitute \: c = 19 \: into \: (2)[/tex]

[tex]a = 2 \times 19[/tex]

[tex]a = 38[/tex]

During a period of time a reservoir is drained for 2 hours per day 3 times per week. Each time 12 gallons per minute are drained. What integer represents the change in the number of gallons drained from the reservoir each week?

Answers

Answer:

The integer representing the change is -43,200 gallons

Step-by-step explanation:

Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week

Total number of hours per week would be 2 * 3 = 6 hours ;

6 hours is same as 6 * 60 = 3600 minutes

in a minute 12 gallons are drained

In 3600 minutes, the number of gallons drained would be;

3600 * 12 = 43,200 gallons are drained

Sara wants to find the input value that produces the same output for the functions represented by the tables.

A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?

–2
–1
1
2

Answers

Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

[tex]f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x = 2 + 3\\2.5x = 5\\x = 2[/tex]

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

f(2) = 1

g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

here, we have,

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

To know more about function follow

brainly.com/question/25638609

#SPJ7

Divide by using synthetic division .
(5x²-4x+12) : (x+3)

Answers

Answer:

5x-19+[tex]\frac{69}{x+3}[/tex]

Step-by-step explanation:

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

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