Answer:
X-intercept = -3 and y-intercept = 6
Step-by-step explanation:
We can start off by isolating the y term. To do that, we must add 2y to both sides to get
[tex]4x=2y-12[/tex]
Now, we must add 12 to both sides and the y term will be all alone on the right side:
[tex]4x+12=2y[/tex]
Now, to have only y on the right side, we must divide by 2 to get:
[tex]y=2x+6[/tex]
In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.
To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:
[tex]0=2x+6[/tex]
We can start off by subtracting 6 from both sides to get:
[tex]2x=-6[/tex]
We can then divide both sides to get [tex]x=-3[/tex] when y is equal to 0. Thus, we have our x-intercept.
Answer:
y-intercept= -6
x-intercept= 3
Step-by-step explanation:
First, rearrange the equation to be in y=mx+b.
4x-2y=12
4x-12=2y
(1/2)(4x-12)=y
y=2x-6
From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.
To find the x intercept make y=0 and solve.
You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.
a room that needs to be tiled is 12 1/2 feet wide by 14 feet long. tiles that mesure 2x2 are $0.79 per tile. Tiles that measure 3x3 are 1.25 per tile. which size tile should be used for this project to save the most money? How many tiles would be needed? How much would you spend on them? HELP PLEASE!
Answer:
Step-by-step explanation:
Area of the room is 12.5(14) = 175 ft²
2x2 tiles are 4 ft²
175 /4 = 43.75 tiles so 44 will be needed
44($0.79) = $34.76
3x3 tiles are 9ft²
175/9 = 19.4444... so 20 will be needed
20($1.25) = $25.00
the larger tiles will cost $9.24 less than the smaller tiles.
Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.
in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?
Answer:
1:3
Step-by-step explanation:
She has 1 snake plant for every 3 orchids.
I need help asap! Pls :)
Answer:
Step-by-step explanation:
6x + 10 + 2x + 26 = 180
8x + 36 = 180
8x = 144
x = 18
I need help asap
Please help me!!
contains ordered pairs
Answer:
which question ?
Step-by-step explanation:
21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1
Answer:
4.8
Step-by-step explanation:
add all values and divide it by 5
a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: https://brainly.com/question/18176080
someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x
The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.
x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|
How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.
Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.
The exponential function for the value of the SUV, after x years, is given by:
[tex]f(x) = 17000(0.87)^x[/tex]
Hence, after 5 years, the value is:
[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]
From the table, after 5 years, the car is worth $11,726.52.
11726.52 - 8473.16 = 3253.36.
The SUV is worth $3,253.36 less than the car after 5 years.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
PLEASE HELP!!
I got about half way through the problem but I ddont know hiw to solve the rest :\
solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]
Answer:
The answer is x = 1
Hope this helps! :)
(sqrt) x + 3 = x + 1
x + 3 = x^2 + 2x + 1
x + 3 - x^2 - 2x - 1 = 0
-x + 2 - x^2 = 0
x^2 + x - 2 = 0
(x - 1) (x + 2) = 0
x = 1, -2
^^no negatives/canceled
x = 1
Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.
Answer:
Step-by-step explanation:
Not near enough information to know.
I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)
The pool shape is important as well. No mention of the shape
If the pool is circular and the walkway is 3 ft wide
the fence encloses a diameter of 110/π = 35 ft
so the diameter of the pool would be 35 - 2(3) = 29 ft.
POOL IS RECTANGULAR from comments
If the pool is square and the walkway is 2 ft wide, each side of the fence is
110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.
There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.
Edit from comments
Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.
Let's say that we are told the pool is 12 ft wide with 2 ft walkway.
Let L be the pool length
110 = 2(12 + 2(2)) + 2(L + 2(2))
110 = 32 + 2L + 8
70 = 2L
L = 35 ft
Example of binomial to polynomial
With a complete solution
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?
Answer:
hi
Step-by-step explanation:
1+1=2
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
solve the system using substitution 4x+3y=23 x-5=0
Answer:
y=1, x=5
Step-by-step explanation:
Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5
Now we have a value for x, so plug x into the original equation,
4(5)+3y=23,
20+3y=23
Subtract both sides by 20
20-20+3y=23-20
3y=3
dvide both sides by 3
y=1
use the value for x we got earlier
y=1, x=5
Evaluate - 1 - ( - z ) where z = -2
Answer:
-3
Step-by-step explanation:
To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.
-1-(2)
-1+-2
=-3
The value of the expression -1 - (-z) where z = -2 is -3.
How to determine the value of the expressionTo evaluate the expression -1 - (-z) where z = -2, follow these steps:
Replace z with -2 in the expression:
= -1 - (-(-2))
Simplify the double negative:
= -1 - (2)
Perform the subtraction:
= -3
So, the value of the expression -1 - (-z) where z = -2 is -3.
Learn more about Evaluate
https://brainly.com/question/29170041
#SPJ3
Which expression is equivalent to (3 the square root of 2^5)^1/4
A- 2 5/12
B- 2 12/5
C- 2 2/20
D- 2 3/4
A phone company is offering several different prepaid data plans.
Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data
The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.
Answer:
See image
Step-by-step explanation:
Let w=width
And let l=length
Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.
Step-by-step explanation:
let the width of the rectangle=x
the length=x+2.3
Since perimeter=28.6
We know that perimeter of a rectangle is given by
P=2(l+w)
28.6=2(x+2.3+x)
28.6=2(2x+2.3)
28.6=4x+4.6
28.6-4.6=4x
4x=24
x=24/4=6
Therefore width is 6inches and length is 8.3inches
−4x − 10x what is the answer??????
Answer:
-14x
Step-by-step explanation:
If 9 − 3x < 54, then which of the following must be true?
F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15
If 9 − 3x < 54 then the following x > -15 must be true.
Inequalities is an expression used to show the non equal comparison of two or more variables.
Given the inequality:
9 − 3x < 54
Subtracting 9 from both sides of the equation:
9 - 3x - 9 < 54 - 9
-3x < 45
Dividing both sides of the equation by -3:
-3x/-3 < 45/-3
x > -15
If 9 − 3x < 54 then the following x > -15 must be true.
Find more on inequality at: brainly.com/question/241541
The polygons are similar. Find the value of each variable.
[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]
[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]
[tex]\\ \sf{:}\dashrightarrow x=6[/tex]
#y
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]
[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]
[tex]\\ \sf{:}\dashrightarrow y=8[/tex]
Here we go
4/x=6/94/x=2/32/x=1/3x=6And
y/12=12/1818y=12²18y=144y=8Need help!! timed, and will give brainlist
Answer: 90
Step-by-step explanation:
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answer:
Game #1B is the correct answer i guess so
Graph the line with slope -2/3
passing through the point (-4,5).
Answer:
graph this equation
y = -2/3x 7/3
Step-by-step explanation:
y-5=-2/3(x--4)
y-5 = -2/3x - 8/3
y = -2/3x 7/3
IF the domain is {0, 2, -6}, what is the range of y=-2x+3?
Answer:
Range is {3,-1, 15}
Step-by-step explanation:
Answer:
{3, -1, 15} is the range.
Step-by-step explanation:
20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.
Answer:
2x - 10
Step-by-step explanation:
'x' = amount David has
Alexis = 2x - 10
What is equivalent to 10/100
Answer:
1/10
Step-by-step explanation:
10/100
Dividing both sides by 10
10 ÷ 10/100 ÷ 10
1/10
Hence,
10/100 is equivalent to 1/10
Answer:
Decimal: 0.1 (One tenth)
Fraction: 1/10
Percentage: 10%
Step-by-step explanation:
For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.
I Hope this Helps
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.
Answer:
B
Step-by-step explanation:
Simplify: Square root 25ab^6 help please
Answer:
5 b^ 3 √ a
Step-by-step explanation:
Break up the radicand up into a product of known factors assuming positive real numbers.
