Slope: 7/3
Y intercept: -3
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
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
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]
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)
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.
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.)
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:
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
Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
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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 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)
Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
Answer:
A) 1 km in 5 min
C.) 4/20 km in 1 min
Step-by-step explanation:
Given that:
Kevin ran 4 km in 20 minutes
A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
4 km in 20 minutes :
4km / 20 minutes = 1km / 5 minutes
4/20 km in 1 minute = 0.2 km in 1 minute
If :
1 km = 5 minutes
x km = 1 minute
Number of kilometers in 1 minute :
1/5 = 0.2 km per minute
Hence, Option A and C
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]
please help!! i’ll give brainliest!!
Answer:
a- 1,100
b- 12
c- the price also increases.
Step-by-step explanation:
Plsssss help I needdd help
Answer:
';ouiehdgfw;i[hgvc
Step-by-step explanation:
its very good have patience gurrrrrrrrrl lol
PLEASE HELP URGENT WILL MARK BRAINLIEST
Answer:b) intersecting
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.
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
Can somebody please solve these for me I don't wana do it (thats why i am using so many points)
Down
6. 4,011
10. -94
11. 26
13. 178
15. -8
16. 6,861
18. 3,482
20. 385
22. 788
24. -5
25. 44
Across
1. -248
5. -9
7. 4,923
8. 90
9. 67
10. -912
12. 119
14. 16
15. -6
17. 743
19. 8,838
21. 47
23. 68
24. -884
26. 15
27. 7,284
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.
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:
(will mark brainliest)
The new borders in Europe caused tensions to grow.
A. TRUE
B. FALSE
Answer:
A. True
Step-by-step explanation:
In Europe and across the world, the tensions from the Cold War affected the borders of various countries, but the two opposing sides were not quick to agree and “forgive” each other, like siblings do. Overall, the Cold War affected the borders of Europe and other countries across the world by splitting various countries and dividing continents.
Answer:
this is true mark me brainliest please have a great
day :)
Step-by-step explanation:
PLEASE SOMEONE ACTUALLY HELP I WILL MARK BRAINLIEST
Answer:
C, or the third one
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
i suck at word problems i don’t understand both of these
Answer:
c and a
Step-by-step explanation:
Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly.
Who earned the higher score? Compare their scores.
Austin answered 47 of the questions correctly, which is greater than 94%, so Liz earned the higher score.
Austin answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.
Liz answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.
Liz answered 47 of the questions correctly, which is greater than 92%, so Liz earned the higher score.
Answer:
So if you do the math liz got a 94 so two points higher than Austin so the answer is the last one
Step-by-step explanation:
Answer:d liz had the higher score
Step-by-step explanation:
calculator
work out 4.52 times by 36
I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!
The product of 4.52 times by 36 is 162.72
Given,
4.52 times by 36
We need to find the product.
How do multiply decimal numbers?Example:
2.3 x 3.4 = 7.82
There are two numbers after the decimal point.
In 2.3 there is one number after the decimal point.
In 3.4 there is one number after the decimal point.
Now,
1 + 1 = 2 numbers
7.82 has two numbers after the decimal point.
We have,
4.52 times by 36
4.52 x 36 = 162.72
4.52 x 6 = 27.12
4.52 x 3 = 13.56
4.52
x 36
27.12
13.56
162.72
4.52 has two numbers after the decimal point.
162.72 has two numbers after the decimal point.
Thus the product of 4.52 times by 36 is 162.72
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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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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: