find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below
Answers
Answer:
y = 3x + 2
Step-by-step explanation:
First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2
The equation of the line is given by: [tex]y = 3x + 2[/tex]
----------------------------
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which
m is the slope, that is, how much y changes when x changes by 1.b is the y-intercept, that is, the value of y when x = 0.----------------------------
Given two points (x,y), the slope is the change in y divided by the change in x.We have points (-1, -1) and (3,11). Thus:[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]
Then
[tex]y = 3x + b[/tex]
----------------------------
Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.
[tex]y = 3x + b[/tex]
[tex]-1 = 3(-1) + b[/tex]
[tex]b = -1 + 3 = 2[/tex]
Thus
[tex]y = 3x + 2[/tex]
A similar problem is given at https://brainly.com/question/13251894
Related Questions
given the following functions, find and simplify (f−g)(x).
f(x)g(x)=−2x2+2x+3=−4
Answers
Answer: (F-G)(x)=5x2+2i +1
Step-by-step explanation
The resulting function for (f−g)(x) is 2x²+x-3
Let the required functions be:
f(x)=2x²+3x
g(x)=2x+3
We are required to find (f−g)(x).
(f−g)(x). = f(x) - g(x)
(f−g)(x) = 2x²+3x - (2x+3)
(f−g)(x) = 2x²+3x - 2x - 3
(f−g)(x) = 2x²+x-3
Hence the resulting function for (f−g)(x) is 2x²+x-3
Learn more here: https://brainly.com/question/17412243
Please answer this correctly without making mistakes
Answers
Answer:
The point G represents: "60 dollars is the cost to dry clean 6 suits."
Step-by-step explanation:
If you look at the graph, on the bottom it shows number of suits, which is the independent. On the left it shows the cost of suits which is the dependent.
The dependent (Money) depends on the independent (Suits) so when you look at the point G you see that it is graphed on 6 suits for 60 dollars.
Functions I need help with 14-17
Answers
Answer:
14) No. 15) No. 16) Yes. 17) Yes.
Explanation:
When something is not a function, you can either use the vertical line test which involves drawing a line going up and down to see if the graph hits the line more than once. If this is the case, it is not a function. Or the input or x value of a function cannot have more than one
output or y value.
The line x = |y| on the graph of #14 is not a function because there is more than one y value for a single x value. This also hits a vertical line more than once.
The table on #15 is not a function because their is more than one y value per x value. It also hits a vertical line more than once.
The equation y = 1/4x is a function because there is only one output for each input. This also does not hit a vertical line more than once
The equation x = y - 1 is a function because it is simply a rearanged version of y = x + 1 which has only one output for each input. It also does not hit a vertical line more than once.
The ratio of butterflies to bees in Lucy's insect collection is 3 to 4. If there are 32 bees, how many butterflies would there be?
Answers
Answer:
24:32
Step-by-step explanation:
When I saw that you wrote 'the ratios of BUTTERFLIES TO BEES' it tells me that I need to do the order of But. to Bees. I saw you had 3:4, and you said, '32 bees' I know because of that, 32 bees needs to be the second.
I got my answer, by seeing 4x_=32. I actually multiplied 4x8=32, and then multiplied 3x8 as well, to get 24. Then I got my answer: 24:32!
HOPE I HELPED:)
-Adiel, Age 11, 6th Grade
Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?
Answers
Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:
A = Amt of remaining after t time
Step-by-step explanation:
Ao = Initial amt
t = time of decay
h = half-life of the substance
in this problem
A = 21.5
Ao = 38
t = 1 year
h = half life of substance
Are 4/7 and 12/21 equivalent fractions? Why or why not?
Answers
Answer:
Yes
Step-by-step explanation:
12/21 simplified is 4/7. if you divide the numerator (12) by 3 and the denominator (21) by 3, you get 4 and 7, or 4/7 if you put it together.
4/7 and 12/21 are equivalent fractions
What is Fraction?A fraction represents a part of a whole.
We need to check whether the fractions 4/7 and 12/21 are equivalent or not.
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
12/21 we have to simplify.
12 and 21 are the multiples of 3, so divide numerator and denominator by 3
which gives 4/7
12/21=4/7
Hence, 4/7 and 12/21 are equivalent fractions
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
How many times larger is 1 x 106 than 5 x 10-5?
Answers
5*10-5=495
495/106≈ 4.67
Write the slope-intercept form of the given line. Include your work in your final answer.
Answers
Answer:
[tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the picture attached,
b = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through the points (0, 1) and (3, 0) will be,
m = [tex]\frac{0-1}{3-0}[/tex] = [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{3}x+1[/tex]
Which of Talia's steps is incorrect?
Step:1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1,3) into the point-slope form
Answers
Answer:
Step-by-step explanation: B
Help please
Is it possible that the lengths of the sides of a triangle are proportional to the numbers 1, 2, and 3?
Answers
Answer:
No
Step-by-step explanation:
Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.
You would have sides x, 2x, 3x in this case and use the inequality a+b>c.
if...
a=x, b=2x, c=3x
then...
x+2x>3x
3x>3x which is false.
Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.
Try This question out and I’ll give you brainliest
Answers
Answer:
B
Step-by-step explanation:
2d represents the amount sold on Tuesday
subtracting 150 from this amount fits the question
Need the answer ASAP. -6x-4>-2(x-4)
Answers
if p:q=2:3 and q:r=6:5 find p:r
Answers
Step-by-step explanation:
p/q=2/3
q/r=6/5
First q is to be made same . So take LCM of 3 and 6 which is 6 only.
Now,
p/q=2×2/3×2=4/6
q/r=6/5 only
Cancel both the 6.
Therefore the answer is p/r=4/5.
Hope this helps
Answer:
p:r =4:5
hope it helps
HELP I GIVE 15 POINTS
Answers
Answer:
Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4
His car get 32.4 miles per gallon
How you do this work ?
Answers
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
6 legs ×2 ants= 12 legs of ants
1 butterfly = 6 legs
2 butterfly ×6 legs = 12 legs of butterfly
total
12 legs of butterfly + 12 legs of ants
= 24 legs in total
Answer:
24
Step-by-step explanation:
1 ant = 6 legs
2 ants = 6 + 6 = 12
2 ants = 12 legs
1 butterfly = 6 legs
2 butterflies = 6 + 6 = 12
2 butterflies = 12 legs
12 + 12 = 24
There were 24 legs all together.
= ?[tex]\sqrt{x} \sqrt{x} -(-9)^2\\[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{x} \sqrt{x} -(-9)^{2} \\=x-81\\x=81[/tex]
Identify the slope using the
following two points: (-1, 6) and
(-3, 10)
Answers
Step-by-step explanation:
Remember (y2-y1)/(x2-x1)
[tex] \frac{y {}^{2} - y ^{1} }{x {}^{2} - x {}^{1} } [/tex]
for y, 10-6 = 4
for z, -3 + 1= -2
4/-2 is -2
your slope is -2
a teacher has a 12 lb bag of sand the sand will be divided evenly into 0.8 pound container if using all the saying how many 0.8 pound containers does the teacher use
Answers
Ten times the sum of a number and 4 translated into mathematical expression
Answers
Answer:
10(x + 4)
Step-by-step explanation:
Let x be the number
Sum of a number and 4: x + 4Ten times the sum of a number and 4: 10(x + 4)I hope this helps!
The mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
Let x be the number,
Where the Sum of a number and 4:
x + 4
Then Ten times the sum of a number and 4:
10(x + 4)
Therefore, the mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
What is the product of StartFraction 4 Over 9 EndFraction and StartFraction 1 Over 11 EndFraction
Answers
Answer:
4/99
Step-by-step explanation:
$4.99 for 6 cans or $7.99 for 10 cans?
Answers
Answer:
$7.99 for 10 cans
Step-by-step explanation:
First you want to see what the price is for one can. Do this by dividing 6 from 4.99 (4.99/6). This gives you 83 cents per can. Do the same for the other, and you get 79 cents per can. 79 cents is a better value than 83 cents.
CJ = 2x – 1 and
JT = 82 – 43
Answers
Answer:
CT = 10x-44
Step-by-step explanation:
Since J is the midpoint you would set your equation up like this
2x-1+8x-43Now you would add like terms
10x-44Hope this helps!
Explain how you can find the missing number in 3 4/5 divided by x equal 2 5/7. Then find the missing number.
Answers
Answer:
You multiply
Step-by-step explanation:
You multiply 3 4/5 and 2 5/7
Answer is 10 1/3
please help me finding both angles, thanks :)
Answers
1) 123
2) 57
for the second
1) 123
2) 57
Both are 123
When dealing with angles you have to remember that all angles add up to 180, “the line angle” as I like to call it, it’s because 180 is completely flat.
2: Here you can use your eyes to see the angle is wider than 90, ”a perfect right”. So you can easily assume that the angle is gonna be 123.
1: the angle here shares the same place as your original angle. So you can easily assume that they have the same degree
Simple things very clear, hope this helps
The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.
n =
Answers
Answer:
Answer is -10
Step-by-step explanation:
Explanation:
First, define the variable. Let n represent the unknown number.
Next, write an equation to represent the situation. Because a quotient is the result of division, divide the unknown number by -5:
.
Then, use opposite operations and the properties of equality to solve for n. Notice that the variable, n, is divided by -5. So, to isolate n, do the opposite and multiply both sides of the equation by -5:
Finally, to check the solution, substitute -10 for n in the original equation:
The resulting statement is true, so the solution is correct.
find the sum for (2w-9) + (-4w - 5)
Answers
Answer:
The solution to this problem is −2−14
Step-by-step explanation:
A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement.
What does the result suggest about the genders of the people who are employed as characters at the amusement park?
Answers
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
There is one real root.
There are two complex imaginary roots.
There is one complex imaginary root.
There are two real roots.
Answers
Answer:
Step-by-step explanation:
A discriminate of -8 is never going to give you a real root. D is wrong
You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.
So the answer is B. You have 2 complex roots.
Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days?
A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400
Answers
9514 1404 393
Answer:
A. f(x)=56,000(0.93)x+8400
Step-by-step explanation:
The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.
The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...
f(x) = 56,000(0.93^x) +8400 . . . . matches choice A
Please help fill it in I’ll mark you as brainlist
Answers
Answer:
it so blurry
Step-by-step explanation: