Answers
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
Answer:
Slope intercept form;
y = mx + b
If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.
If we look at the slope it rises 1/2
Though we can double check by using two points of the line:-
Δy y2 - y1
___= ______
Δx x2 - x1
One point of the line, (1,1)
Second point of the line, (3,2)
Plug it into the formula:
2 - 1 1
____ = ____, 1/2 is the slope
3 - 1 2
Now we use it in our equation;
y = 1/2x + 0.5
Related Questions
4.
3. If 2(4x + 3) - 12 = 3x - 6, then what value of x makes
the equation true?
Answer with supporting work:
Answers
Answer:
x=0
Step-by-step explanation:
2(4x+3)-12=3x-6
distribute
8x+6-12=3x-6
8x-6=3x-6
8x-3x=-6+6
5x=0
x=0
8x+6-12=3x-6
5x=0
x=0
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
Step-by-step explanation:
3x^2 + 8x - 16 - SOMETHING = x^2 - 4
Re-arranging left and right:
SOMETHING = 3x^2 + 8x - 16 - x^2 + 4
= (3x^2 - x^2) + 8x - 16 + 4
= 2x^2 + 8x - 12
Answer:
Original expression: [tex]3x^2+8x-16[/tex]
Let [tex]a[/tex] be the quantity Amir subtracted from the original expression.
Expression after subtraction: [tex]x^2-4[/tex]
[tex]\implies (3x^2+8x-16)-a=x^2-4[/tex]
Solve for [tex]a[/tex]:
[tex]\implies 3x^2+8x-16-a=x^2-4[/tex]
Add 4 to both sides:
[tex]\implies 3x^2+8x-12-a=x^2[/tex]
Subtract [tex]x^2[/tex] from both sides:
[tex]\implies 2x^2+8x-12-a=0[/tex]
Add [tex]a[/tex] to both sides:
[tex]\implies 2x^2+8x-12=a[/tex]
Therefore, Amir subtracted [tex]2x^2+8x-12[/tex] from the original expression.
Explain why the condition a=/ 0 must be stated to ensure that y = ax2 + bx + c is a quadratic relation.
Answers
Answer:
a = 0 makes the equation a linear equation, not quadratic
Step-by-step explanation:
A polynomial expression is quadratic if and only if its highest degree is 2. If the coefficient of the squared term is zero, then the polynomial does not contain a term of degree 2, so is not a quadratic. The coefficient of the squared term must be non-zero.
Got It? Do these problemst
Solve each system of equation
1. y=x
y = 2x - 4
answer
10
6420
10
Answers
PLEASE!!! HELP ME! WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!!! PLEASE GIVE A SOUND EXPLANATION TOO!!!! YOU GET 50 POINTS!
Answers
Answer:
-8
Step-by-step explanation:
Vertex of function f(x)
From inspection of the graph, the vertex of f(x) is (2, 1)
Vertex of function g(x)
Given: [tex]g(x)=2x^2-8x+1[/tex]
Standard form of a parabola is [tex]y=ax^2+bx+c[/tex]
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
To convert from standard to vertex form, complete the square.
Set the equation to zero:
[tex]\implies 2x^2-8x+1=0[/tex]
Add 7 to both sides:
[tex]\implies 2x^2-8x+8=7[/tex]
Factor out common term 2 on left side:
[tex]\implies 2(x^2-4x+4)=7[/tex]
Factor expression inside brackets:
[tex]\implies 2(x-2)^2=7[/tex]
Subtract 7 from both sides:
[tex]\implies 2(x-2)^2-7=0[/tex]
Therefore:
[tex]g(x)=2(x-2)^2-7[/tex]
So the vertex of g(x) is (2, -7)
Solution
y-value of the vertex of f(x) = 1
y-value of the vertex of g(x) = -7
y-value of vertex of f(x) subtracted from the y-value of the vertex of g(x):
-7 - 1 = -8
Can anyone help? I need help, and fast!
Answers
Jaleesa bought two
notebooks for $8.75 each
and one computer bag for
$74.95. If sales tax was 7%,
what was the total cost of
Jaleesa's purchases?
DONT ANSWER IF U DONT KNOW !
Answers
Answer:
Notebooks= 8.75
computer bags=74.95
Amount with tax = Approximately 89.559
HURRY PLEASE!!
Solve: x= 2t + 3w for t
Solve the compound inequality: 3x+1<-5 or 2x-5>7
Answers
Answer:
[tex]\frac{x-3w}{2}[/tex] = t
x < -2
x > 6
Step-by-step explanation:
For the first equation, let's solve for t.
Subtract 3w from both sides of the equation.
x - 3w = 2t
Now divide by 2.
[tex]\frac{x-3w}{2}[/tex] = t
t is equal to [tex]\frac{x-3w}{2}[/tex].
For the first inequality, let's solve for x.
First, subtract 1 from both sides, then divide by 3. The result is:
x < -2.
For the second inequality:
First add 5 to both sides, then divide by 2. The result is:
x > 6.
The compound inequality is as follows:
Solutions can be true if x is less than -2, or greater than 6.
Five times the product of two numbers x and y divided by a third number 27
Answers
Answer:
5xy/27
Step-by-step explanation:
The product of the two numbers x and y = xy
Five times the product of the two numbers x and y = 5xy
then,
divided by a third number 27 = 5xy/27
The expression will be : 5xy/27
PLZ HELP FASTTT Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify without negative exponents.
Answers
Answer:
1/x^7*x^4 or 1/x*x*x*x*x*x*x*x*x*x*x
Step-by-step explanation:
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
Insert three arithmetic means between -16 and 4.
Answers
Answer:
Three arithmetic means between -16 and 4 are : 20 , 10 and [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
we have to find out three arithmetic means between -16 and 4
-16 , ____ , ____ , ____ 4
so , lets take the mean like this ,
-16 , -16+d , -16+2d ,-16+3d , 4
First mean -: -16 +d = 4
d= 4+16
d = 20
second mean -: -16 +2d = 4
2d= 4+16 = 20
d= [tex]\frac{20}{2}[/tex]
d= 10
third mean -: -16+3d = 4
3d = 20
d=[tex]\frac{20}{3}[/tex]
Therefore , all the three arithmetic means between -16 ad 4 are 10 , 20 and [tex]\frac{20}{3}[/tex] .
A ten pound bag of apples for $33.49
one pound of apples
Answers
Answer:
3.349
Step-by-step explanation:
Help please need answers asap
Answers
Answer:
letter C
Step-by-step explanation:
hope its help
carry on learning godbless3^2 −(9−4)^3 help please
Answers
Answer:
Step-by-step explanation:
?
what rational
i neeed to know
Answers
What would the equation be for this problem: What is the cost, "c" for a disc that is $13 plus $1.95 for shipping and handling when you buy "n" discs.
Answers
Answer:
Step-by-step explanation:
Two possible equations, depending on how you read the question.
1. Is there a shipping and handling per disc?
If so:
[tex]C = 13n + 1.95n[/tex]
2. Shipping and handling is only charged once?
If so:
[tex]C=13n+1.95[/tex]
Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spent less than $10. The inequality relating the purchases she made and the total purchase price is
1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply.
(–1, 4)
(0, 2)
(3, 2.5)
(2, 4)
(0.5, 3.78)
(1.5, 3)
Answers
Answer:
the 2nd and last options
Step-by-step explanation:
Answer:
B and F
Step-by-step explanation:
PLEASE HELP! math is stressing me
Answers
Answer:
Sin theta= a/c
= 5/7.8
= 0.64
= 1
Step-by-step explanation:
Lets find the hypotenuse first by applying Pythagorean theorem.
a^2+b^2=c^2
(6)^2+(5)^2=c^2
36+25=c^2
61=c^2 (FIND SQUARE ROOT)
7.8=c
Sin theta= a/c
= 5/7.8
= 0.64
= 1
Cos theta= b/c
= 6/7.8
Tan theta= a/b
= 5/6
17. Carol and Cathy are each saving money for a vacation. Carol started with $25 and saves
$7.50 a week. Cathy started with $10 and saves $10 a week. When will they have saved
the same amount?
Answers
Answer:
6 weeks
Step-by-step explanation:
Let x represent the weeks
[tex]25=10+ (10x-7.5x = 2.5)[/tex]
[tex]25-10=2.5x = 15[/tex]
[tex]\frac{15}{2.5}=x \\(150/25)\\x=6[/tex]
Carol and Cathy will have same saved amount after 6 weeks.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
It is given that Carol started with $25 and saved per week an amount of $7.50 whereas Cathy started with $10 and saved per week amount of $10.
Let's assume that after x no. of weeks they will have same saved amount.
So , we can write an algebraic expression which is :
25 + (7.5 × x) = 10 + (10 × x)
Now , reordering the like terms we get :
10x - 7.5 x = 25 - 10
Simplifying this we get :
2.5 x = 15
or
x = 15 ÷2.5
or
x = 6 weeks
Therefore , Carol and Cathy will have same saved amount after 6 weeks.
Learn more about algebraic expressions here :
brainly.com/question/27882730
#SPJ5
PLEASE help ME! There is a picture!
Answers
Answer:
A
Step-by-step explanation:
so times it by two because there's two friends. Divide the numerator by 2 which is one there's Ur answer or u could just divide it by two which is basically timing the denominator
Make a number line and mark the points that represent the following values of x. 5x<12
Answers
Answer:
x=2.5
Step-by-step explanation:
5x<12 1. /5 on both sides
x= 2.5
Answer:
x<2.4
Step-by-step explanation:
5x < 12
x < 12/5
x < 2.4
On the number line, draw an arrow going towards left from 2.4, with an open circle at 2.4
Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.
4058, 4336, 4707, 3927, 4718, 4139
4789, 4982, 4096, 4066, 4567, 3801
The confidence interval estimate is ___
Answers
Using the t-distribution, as we have the standard deviation for the population, it is found that the confidence interval estimate is (4044.2, 4653.4).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 12 - 1 = 11 df, is t = 2.7181.
As for the other parameters, they are given by:
[tex]\overline{x} = 4348.8, s = 388.2, n = 12[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 4348.8 - 2.7181\frac{388.2}{\sqrt{12}} = 4044.2[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 4348.8 + 2.7181\frac{388.2}{\sqrt{12}} = 4653.4[/tex]
The confidence interval estimate is (4044.2, 4653.4).
To learn more about the t-distribution, you can check https://brainly.com/question/16162795
What is the perimeter of the rectangle shown?
Answers
Answer:
74
Step-by-step explanation:
in 20 years,
Paul will be half the square
of the he was 4
years ago. How old is Paul ? ( need start of equation )
Answers
Answer:
Step-by-step explanation:
i honesty dont know if so i would help
Does anyone know the answer to number 2?
Answers
Answer: answer is 19 !!
Step-by-step explanation:
Does anyone know the answer to number 4?
Answers
30 dimes = $3
That adds up to $6
Answer:
You have 12 quarters and 30 dimes.
Step-by-step explanation:
If you have an equation that says 10d+25q= 600 cents (d meaning dime and q meaning quarter) and have another equation that says d+w=42, then you could use those two equations to solve the problem.
Hope this helps a little bit. It is a little hard to explain but let me know if you need some more help.
Jesus deposited $2000 into a new savings account that paid interest at an annual rate of 3% compounded continuously. If there were no other transactions, approximately how much money was in Jesus' account 6 years after he made the deposit?
Answers
explanation: use equation A=Pe^rt. A=2000e^(0.03x6). A=2394.43
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen
If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help.
Answers
Answer:
13
Step-by-step explanation:
2 hours = 4 inches
2/2 equals 1 hour
4/2 equals 2 inches
2 inches of snow per hour
6.5*2 is 13
you should expect 13 inches of snow in 6.5 hours
Find m HELP THIS IS IMPORTANT
Answers
Solving Steps:
1. Find x (in picture)
2. Solve for 13(4)+7
= 59
can you give me all of the answers using the following directions please.
Answers
Answer:
1234567890
Step-by-step explanation:
Answer:
1234567890
Step-by-step explanation: