Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Answers
Answer:
y=1/3x-3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
Use the two points: (0,-3) (3,-2)
slope = (-3+2)/(0-3)
slope = -1/-3 = 1/3
y intercept = -3
Equation: y=1/3x-3
Related Questions
What is the range of the functuon f(x)=(x-4)(x-2)
Answers
Answer:
The range is [-1, ∞).
Step-by-step explanation:
The points where the graph of this function cut the x axis are at x = 2 and x = 4 , it opens upwards and has a minimum value.
It has a minimum value when x = (2 + 4) / 2 = 3.
When x = 3, f(x) = (3 - 4)(3 - 2) = -1.
So the range is all real values of x >= -1, or [-1, ∞)
Help appreciated please and thank you
Answers
Answer:
D. [tex] \frac{4 \sqrt{33} }{33} [/tex]
Step-by-step explanation:
[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]
What is the volume of this cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.
10 mm
7 mm
Answers
Answer:
[tex]1538.6mm^{3}[/tex]
Step-by-step explanation:
[tex]V=\pi r^{2} h[/tex]
[tex]V=3.14*7^{2} *10[/tex]
[tex]V=31.4*49=1538.6[/tex]
a system of linear equations is given by the tables. one of the tables is represented by the equation y=-1/3x+7. The equation that represents the other equation is y= x + the solution of the system is ( , )
Answers
Answer:
1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]
2). Solution of the system is (3, 6)
Step-by-step explanation:
From the table (1),
Let the equation of the line from the given table is,
y - y' = m(x - x')
Where m = slope of the line
(x', y') is a point lying on the line.
Choose two points from the table which lie on the line.
Let the points are (0, 5) and (3, 6)
Slope = m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{5-6}{0-3}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, equation of the will be,
y - 5 = [tex]\frac{1}{3}(x-0)[/tex]
y = [tex]\frac{1}{3}x+5[/tex] -------(1)
Let the other line from the table (2) is,
y - y" = m'(x - x")
Two points taken from this table are (0, 7) and (3, 6)
m' = [tex]\frac{7-6}{0-3}[/tex]
= [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]
y = [tex]-\frac{1}{3}x+7[/tex] -------(2)
Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]
By adding equations (1) and (2),
y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]
2y = 12
y = 6
From equation (1),
6 = [tex]\frac{1}{3}x+5[/tex]
[tex]\frac{1}{3}x=7-6[/tex]
x = 3
Therefore, solution of the system is (3, 6).
Answer:
The first line is 1/3x and 5. For the second line the answer is (3,6).
Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there are on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)
Answers
Answer:
1 point. O (0,0)
Step-by-step explanation:
Hi
Invariant points are those points who remain on the same location after a given transformation.
1. Plotting OABC we have it below:
2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:
[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]
Since the Scale factor is (2)
3. Check it out O'A'B'C' below
4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.
Answer:
The answer would be 2
Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
Answers
Answer:
Option (B)
Step-by-step explanation:
If A = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}[/tex] and B = [tex]\begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]
Multiplication of these matrices,
A.B = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}\times \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}(1(-2)+3(3) & 1(1)+3(4)\\ (-2)(-2)+5(3) & 1(-2)+5(4)\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}7 & 13\\ 19 & 18\end{bmatrix}[/tex]
Therefore, Option (B) will be the answer.
Target sells 24 bottles of water for $3.and 36 bottles of water for $4 Which is the better buy and by how much
24 bottles for $3 by 1.50 per bottle
B)
24 bottles for 53 by 700 per bottle
24 bottles for $3 by 75c per bottle
36 bottles for $4 by 1 46 per bottle
60
Answers
Answer:
The last answer choice is the correct answer
Step-by-step explanation:
im hoping this helped, if not im sorry.
hope this helps :)
Solve the given system of equations.
Answers
Answer: x= -1/2 y=3/4
Step-by-step explanation:
Answer:
x = -4y + 5/2
Step-by-step explanation:
step 1: 2x +8y + -8y = 5 + -8y
2x = -8y+ 5
step 2: divide both sides by 2
2x /2 = -8y+5/2
x= -4 + 5/2
Solve the exponential equation. 4x = 0.5 -2 -1 -1/2
Answers
Answer:
[tex]x=-1/2[/tex]
Step-by-step explanation:
[tex]4^x=1/2[/tex]
Make the bases 2 on both sides of the equation.
[tex]2^{2^x}=2^{-1}[/tex]
Multiply the exponents.
[tex]2^{2x}=2^{-1}[/tex]
Cancel the bases.
[tex]2x=-1[/tex]
Divide 2 into both sides of the equation.
[tex]x=-1/2[/tex]
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 42%. Part 1 out of 4 Enter an expression for the markdown using a decimal. The markdown is ..... (Answer this question piece)
Answers
Answer:
0.42
Step-by-step explanation:
The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.
The expression of the markdown using a decimal can be represented below.
Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal. Or you can just divide the percentage value by 100.
In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.
Cameron surveyed 200 of the students in his school about their favorite color. 60
students said their favorite color was red. What percentage of the surveyed students
said their favorite color was red?
Answers
Answer:30%
Step-by-step explanation:
This table shows the time it took a group of students to complete a quiz
Answers
A=17 b=16/24
1. The budget above was created by Alex to help him plan how he will spend the money she earns. He usually earns
$20 each week by babysitting and running errands for his parents. If Alex is sick one weekend and can't earn the
$20. how much will he earn for that 4-week period (assume there are 4 weekends in the month)?
Answers
Answer:
Alex will be able to earn $60 for that 4-week period.
Step-by-step explanation:
It is given that
Income to Alex each week by babysitting and running errands:
$20.
To find the 4-week period earning, we need to add the value $20 for 4 times:
20 + 20 + 20 + 20 = $80
OR
In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80
But, Alex was sick at one of the weekends, so $20 would be earned less.
Hence, during that 4-week period, total earning = $80 - $20
[tex]\Rightarrow[/tex] $60
So, Alex will be able to earn $60 for that 4-week period.
The probability that your ticket will be chosen is 6%. There are 250 tickets in the drawing. How many tickets are yours?
Answers
Answer: 15
Step-by-step explanation:
6 percent of 250 is 15
15/250 = 6%.
Answer:
6% = 6/100 = 0.06
250 x 0.06 = 250 x 6 / 100
250 x 6 = 1500 / 100 = 15
15 tickets are mine
Hope this helps
Step-by-step explanation:
A total of 937 people attended the play admission was two dollars for adults and $.75 for students the total ticket sales amounted to $1109 how many students and adults attended the school play
Answers
Answer:
325 adults
Step-by-step explanation:
x=#adults
y=#children
x+y=937
2x+0.75y=1109
2x+2y=1874
-2x-0.75y=1109
1.25y=765
y=612
x=937-612
x=325
x | f(x)
2.0 | 2.8
2.5 | 1.1
3.0 | –0.8
3.5 | –1.2
4.0 | –0.3
4.5 | 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 2.0 and 2.5 and between 4.0 and 4.5
B. between 2.5 and 3.0 and between 4.0 and 4.5
C. between 2.0 and 2.5 and between 3.5 and 4.0
D. between 2.5 and 3.0 and between 3.5 and 4.0
Answers
Answer:
Option B.
Step-by-step explanation:
If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.
From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.
It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.
Therefore, the correct option is B.
Answer:
between 2.5 and 3.0 and between 4.0 and 4.5
Step-by-step explanation:
B on my computer but always double check!
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
If u want to find nathan’s Age then 4f equals to Nathan
If u want to find fred’s age then nathan’s Age plus 27
Hope this helps
Shama’s age is three times the age of her son Ankit. 10 years ago Shama
was 5 times the age of Ankit. Find the present age of Shama.
Answers
Answer:
Step-by-step explanation:
Let sharma age be S and Ankit age be A
S = 3a
(s-10) = 5(a-10)
substitute 1 in 2
3a-10 = 5a -50
40 = 2a
a = 20
s = 3 * 20 = 60
Which graph represents a function with direct variation? ( Please Help ASAP)
Answers
Answer:
second graph
Step-by-step explanation:
direct variation is recognized as y=mx+b, where b=0
y=0 when x=0
the function has (0,0) point
it appears in the second graph only, so the answer is the second graph
A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the designer was asked to reduce its length and its width by 25 percent. By what percent was the area of the final item greater than the area of the original?
Answers
Answer:
300%
Step-by-step explanation:
Let the length of the carpet be L.
Let the width of the carpet be W.
The original area of the carpet is:
A = L * W = LW
The length and width are enlarged by 60%.
The new length is:
L + (L * 60/100) = L + 0.6L = 1.6L
The new width is:
W + (W * 60/100) = W + 0.6W = 1.6W
The length and width are then reduced by 25%.
The new length is:
1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L
The new width is:
1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W
The new area will be:
A = 2L * 2W = 4LW
To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:
4LW - LW = 3LW
% increase is:
[tex]\frac{3LW}{LW} * 100[/tex] = 300%
The area of the final item is 300% greater than the original item.
Answer:
44%
Step-by-step explanation:
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The probability that a foot ball team will win a game is 2/11.The probability that they will lose is 3/11.What is the probability the game will be a draw
Answers
Answer:
6/11
Step-by-step explanation:
Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.
Then;
The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)
Pd = 1 - (Pl + Pw) ........1
Given;
Pl = 3/11
Pw = 2/11
Substituting the values into equation 1;
Pd = 1 - (2/11 + 3/11)
Pd = 6/11
The probability that the game will be a draw Pd = 6/11
You earn $8.50 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a digital camera that costs $348.50
Answers
Answer:
8.50x [tex]\geq[/tex] 348.50
41 hours
Step-by-step explanation:
x= amount of hours
The area of a square is 350cm². Find the length of the diagonal.
Answers
Answer: 26.46cm
Step-by-step explanation:
The formula of a diagonal of a square is square root 2 a(a is not under the square root though)
So just substitute the a (area) with 350 and solve the equation.
Answer:
26.46cm
Step-by-step explanation:
Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.
The formula for converting a temperature,C, in degree Celsius ('C) to a temperature degree Fahrenheit ('F). F=(9C+160)/5 Q:) What temperature is same on both scale.
Answers
Answer:
-40
At -40, the value on both scales are the same.
-40 °C = -40 ° F
Step-by-step explanation:
Given that;
F = temperature in Fahrenheit
C = temperature in Celsius
And;
F=(9C+160)/5 .........1
For temperature to be the same on both scale;
Temperature in Fahrenheit mist be equal to the temperature in Celsius
F = C
Substituting F = C into the equation 1;
C = (9C +160)/5
Multiply both sides by 5
5C = (9C+160)
Collecting the like terms.
5C -9C = 160
-4C = 160
C = -160/4
C = -40
F = C = -40
At -40, the value on both scales are the same.
That means;
-40 °C = -40 ° F
can anyone help me
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Answers
Answer:
1. B
2. A
3. A
4. C
Step-by-step explanation:
ask specific questions for explanations of the answers
A shelf has 4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants. You randomly choose a pair of pants from the shelf. What is the probability of choosing a blue pair of pants?
Answers
Answer:
2/5
Step-by-step explanation:
4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants
P( blue) = blue pants / total pants
= 4/10
=2/5
M + 3 / 5 is equal to 7 / 5
Answers
Answer:
penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis
Find the area of the shape.
Answers
This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]
Answer: 50.2656
Step-by-step explanation:
Can someone please help me I need to get this right
Answers
Answer:
Option C
Step-by-step explanation:
Option C would map (1,3) to (-1,4).
[tex](x,y)\rightarrow(x-2,y+1)[/tex]
[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]
1 - 2 = -1
3 + 1 = 4
Option C should be the correct answer.
Answer: 3rd option (x-2, y+1)
Step-by-step explanation:
1-2 = -1
3+1 = 4
Pat's Potato farm grew 490 ponds of potatoes. Pat delivered 3/7 of the potatoes to the vegi stand. The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store,witched packedged half of the potatoes that were delivered into 5 pound bags. How many 5 pound bags did the grocery store package?
Answers
Answer:
Step-by-step explanation:
Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is
3/7 × 490 = 210 pounds
The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is
2/3 × 210 = 140
If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.
The number of bags of 5 pounds that the grocery store packaged is
70/5 = 14 bags
