Write a linear function f with the values f(−1)=8 and f(5)=6.
Answer:
f(x)=1/3x+23/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
Substitute in the numbers to get:
f(x)=1/3x+23/3
Hope this helps! :)
The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ f (-1) = 8 and f (5) = 6
Now,
Let the linear function is,
⇒ f (x) = ax + b
Substitute f (-1) = 8 and f (5) = 6 in above equation as;
⇒ f (-1) = a × -1 + b
⇒ 8 = - a + b ... (i)
And, ⇒ f (5) = a × 5 + b
⇒ 6 = 5a + b ... (ii)
Solve (i) and (ii) as;
a = - 1/3 and b = 23 / 3
So, The linear equation become;
⇒ f (x) = ax + b
⇒ f (x) = -1/3x + 23/3
Thus, The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
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The figure shows the graph of y = -x² + bx + c. Find the values of b and c.
Answer:
b = 2, c = 3
Step-by-step explanation:
The zeros are x = - 1 and x = 3
Substitute the zeros into the equation and let y = 0
- (- 1)² - b + c = 0
- 1 - b + c = 0 → (1)
- 3² + 3b + c = 0
- 9 + 3b + c = 0 → (2)
Subtract (1) from (2) term by term, that is
- 8 + 4b = 0 ( add 8 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Substitute b = 2 into either of the 2 equations and solve for c
Substituting into (1)
- 1 - 2 + c = 0
- 3 + c = 0 ( add 3 to both sides )
c = 3
What is the solution to the following inequality?
-82 ≤ 5v + 3
Answer:
v ≥ -17
Step-by-step explanation:
-82 ≤ 5v + 3
-82 - 3 ≤ 5v
5v ≥ -85
v ≥ -17
a.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080
Answer:
It is geometric
Step-by-step explanation:
Because it is increasing as 6 is being multiplied.
I need help on this .....,,,
Answer: false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)
i suck at word problems i don’t understand both of these
Answer:
c and a
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
0
Step-by-step explanation:
As evident by the graph, nowhere does the line have any sort of slope. So, the slope must be zero.
y = mx + b
y = 2 (m, slope, is zero and b = 2, the y-intercept)
A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?
Step-by-step explanation:
Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.
Please help! 2nd time asking!
Answer:
4
Step-by-step explanation:
Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.
Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.
0 - 4= I-4I or 4
Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?
Answer:
It takes aditi 5 hours to walk 17 miles.
Step-by-step explanation:
First, find her speed in miles per hour.
1.7 miles in half an hour.
1.7 * 2 = 3.4
3.4 miles per hour.
To find the time, use the distance formula.
Distance = rate * time
17 = 3.4 * time
17/3.4 = time
5 = time
i need heelllppppp plzzzz someone helllppp meee
Answer:
The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (2, -1) and (-3, 3)
∴ x1 = 2 ad y1 = -1
∴ x2 = -3 and y2 = 3
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]
∴ m = [tex]-\frac{4}{5}[/tex]
→ Substitute the value of m in the form of the equation above
∴ y = [tex]-\frac{4}{5}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates of one
point of the given points
∵ x = 2 and y = -1
∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b
∴ -1 = [tex]-\frac{8}{5}[/tex] + b
→ Add [tex]\frac{8}{5}[/tex] t both sides
∵ -1 + [tex]\frac{8}{5}[/tex] = b
∴ [tex]\frac{3}{5}[/tex] = b
→ Substitute the value of b in the equation
∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
∴ The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.
What is h, the height of the window in centimeters?
Answer:
Step-by-step explanation:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
30% increase on $50
help I need the answer nowww
Answer:
$65
Step-by-step explanation:
30% of 50 is 15, so 50+15=65.
Answer:
Step-by-step explanation:
50*30%= 15 more so it'll be 65
A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%
Answer:
C
Step-by-step explanation:
A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.
Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
Find the missing angle.
A.65
B.75
C.70
D.85
which is bigger 1 2/7 or 1 1/5
Answer:
1 2/7 is bigger
Step-by-step explanation:
There are 5 hockey games and 7 football games happening in the upcoming month. You decide to attend 3 games by picking at random. What is the probability that you pick 3 football games? Leave your answer as a simplified fraction.
Answer:
1/4
Step-by-step explanation:
5 plus 7 equals to 12
3 football games
3/12=1/4
1/3x + 2y =4 x + y =-3
Answer:
x = -9/23 or y = -33/23 = -1 10/23
Step-by-step explanation:
Please mark brainliest.
Answer:
x= -9/23
y= -3/33
Step-by-step explanation:
Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.
Answer:
This is true because 6 does infact equal 6
Step-by-step explanation:
First see if the solution is true by seeing if x = x
So solve both sides
4-3+5 = -6+8+4
1+5 = 2+4
6 = 6
The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.
Answer:
A. 2l + 2w > 40
B. 14 = w
Step-by-step explanation:
B. 40 = ( 2/6) + 2w
40 = 12 +2w
subtracted by
28 = 2w
and that equals
14= w
Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?
Answer:
Trick question they both ran equal distance
Step-by-step explanation:
Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.
More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.
This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.
Is -17/-40 equal to 0.245
Answer:no
Step-by-step explanation:it will be 0.425
Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats
Answer:
67.28 %
Step-by-step explanation:
Given that:
Price at which the coats are bought = $28
Number of coats bought = 50
Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400
Number of coats sold at $49 each = 38
Money earned by selling 38 coats at $49 each = $1862
Number of coats left = 50 - 38 = 12
Money earned by selling 12 coats at $40 each = $480
Total money earned = $1862 + $480 = $2342
To find:
The overall profit percentage made by Mia ?
Solution:
Formula for Profit percentage:
[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]
Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %
What is the turning point of the graph of f(x) = |x+3| -2?
(-3, -2)
(-2, -3)
(-3, 2)
(2, -3)
Answer:
(-2,-3)
Step-by-step explanation:
I took the test and got it wrong at first but seen the correct answer when I looked at my results.
The turning point of the function f(x) = |x+3| -2 will be (-3, -2).
What is an absolute function?The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).
Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).
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Use the clues in the graph above to identify the y-intercept.
A. 2
B. (2,0)
C. (0,2)
D. (0,1)
CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please
Answer:
Congruent
3x= 360 I believe if this is the outside of the triangle?
x= 120
Step-by-step explanation:
brainliest
Answer:
1. Congruent
2. 3x= 360
3. x= 120
Step-by-step explanation:
Assume your gross pay per pay period is $2,300.00 and you are in the 28 percent tax bracket. Calculate your net pay and spendable income if you save $230.00 per pay period in a tax-sheltered annuity. (Do not round intermediate calculations. Round your answers to the nearest whole dollar.)
PLEASE SOMEONE ACTUALLY HELP I WILL MARK BRAINLIEST
Answer:
C, or the third one
Step-by-step explanation:
please help! i'll give brainliest.
what is it called when a magnet causes the atoms in a non-magnetic metal to line up and act like a magnet?
a: oriented magnet
b: permanent magnet
c: non-magnet
d: induced magnet
Answer:
B
i think i need 20 words so B
Answer:
B
Step-by-step explanation: