Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
9514 1404 393
Answer:
y = -x^2 +3x -4
Step-by-step explanation:
We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...
x = (1 +2)/2 = 3/2
Then the vertex form of the equation can be written ...
y = a(x -3/2)^2 +k
__
We can use two of the points to find the values of 'a' and 'k'.
For (x, y) = (1, -2)
-2 = a(1 -3/2)^2 +k = a/4 +k
For (x, y) = (3, -4)
-4 = a(3 -3/2)^2 +k = 9a/4 +k
Subtracting the first of these equations from the second, we have ...
(9a/4 +k) -(a/4 +k) = (-4) -(-2)
2a = -2
a = -1
Then k can be found from the first equation.
-2 = -1/4 +k
k = -1 3/4
So, the vertex form equation is ...
y = -(x -3/2)^2 -7/4
__
Expanding this, we can find the standard form.
y = -(x^2 -3x +9/4) -7/4)
y = -x^2 +3x -4
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.
Answer:
answer one is 8
answer two is 8
answer three is 520
answer four is 520
answer five is 800
Step-by-step explanation:
There are 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
What are ratios and proportions?The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Given,
1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
let x student out of 800 rides the bus
so both conditions 65/100 and x/800 are in proportions,
65/100 = x/800
x = 800*65/100
x = 520
2: 65% of the 800 students at North High School ride the bus.
65% of 800 = 65/100 x 800
65% of 800 = 520
3: 100 multiplied by is equal to 800.
let x multiplied by 100 is 800
x*100 = 800
x = 800/100
x = 8
Hence 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
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3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?
Answer:
In 20 years, the customer earns 1330
Step-by-step explanation:
I =Prt
the formula for simple interest
P= 3000
r = 1.9% (0.019)
t = 20 years
(3500)(0.019)(20)= 1330
Henry is following the recipe to make a cake. He has 95 cups of flour. How many cakes can Henry make
Answer
31
Step-by-step explanation:
3 cups in a cake you have 95
95÷3=31 hole cups
Solve for x: 7x + 15 = 38
twenty-three sevenths
fifty-three sevenths
23
53
Why do candidates want to win states
like Texas, Florida, and New York?
Which transformation of AB will produce a line segment A’B that is parallel to AB
Answer:
Step-by-step explanation:
A
Is -4 – -8 positive or negative?
Answer:
positive
Step-by-step explanation:
because that's how math works
PLEASE HELP ME!
Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?
A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13
The annually premium for health insurance will be $2,451.12.
Option A is true.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The health insurance premium is $102.13 each check.
And, We get paid semi-monthly.
Hence, Monthly premium = 2 x $102.13
= $204.26
Since, 1 year = 12 months
Thus, The annually premium = 12 x $204.26
= $2,451.12
So, The annually premium for health insurance will be $2,451.12.
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Find the slope between the given points. REMEMBER: Slopes must be simplified.
(8,3) and (-5,3)
Answer:
Slope = 0
Step-by-step explanation:
Slope = 0/-13 = 0
Please help ASAP
What is the greatest common factor of 9 and 12?
3
9
36
108
So... I looked up this question before asking BUT some people said it was wrong ???? so I wanted to get some second opinions.
Answer:
The GCF Of 9 and 12 is 3.
Step-by-step explanation: Okay so first lets multiply! 3x1 Is 3 3x2 is 6 and 3x3 is 9, 3 x 4 equals 12! Since they both can be divided by 3, Example 12 divided by 3= 4 9 divided by 3= 3, therefore they have a GCF of 3. Remember, this is the greatest factor, not Multiple.
You start at (7, 2). You move up 5 units. Where do you end?
Answer:
(7,7)
Step-by-step explanation:
Because going up would be moving along the y-axis, then you would add 5 to the Y value which was 2 so therefore, if you move up 5 you'll be at (7,7).:)
Answer:
(7,7)
Step-by-step explanation:
The second number is the y value so you add five to two and you get seven.
PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.
Step-by-step explanation:
Have a brainly day!!
The formula to convert, temperature measured in degrees Celsius, C, to
temperature measured in degrees Fahrenheit, F, is below. F = 9/5 (C) + 32
Mariah records the outside temperature to be 15° Celsius. What is the
temperature, in terms of degrees Fahrenheit?
A. 35
B. 59
C. 47
D. 40
Answer:
The answer is B, 59.
Explanation
1) Subsitute 15 for C.
2) Multiply 15 by 9/5. That leaves you with 27.
3) Finally, add 32 to 27. You get 59.
:) Hope this helps
2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
Answer:
$296.
Step-by-step explanation:
Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.
are these lines perpendicular? yes or no?
y= 4x+2
y= (-1/4)x+12
Answer: yes
Step-by-step explanation:
Somebody who remembers how do to this plz answer all the questions correctly thanks so much!!!!
(WILL MARK AS BRAINLIEST)
:D
28. 0.16 (add a line above 6)
29. 0.45 (add a line above 45)
30. 0.4 (add a line above 4)
31. 0.27 (add a line above 7)
32. 0.037 (add a line above 037)
33. 0.045 (add a line above 45)
34. 0.27 (add a line above 27)
35. 0.148 (add a line above 148)
36. 0.16 (add a line above 6)
37. 2.83 (add a line above 3)
Why?
Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?
Answer: The equation of the line is y=1/4x + 3
Step-by-step explanation:
To get the equation, you have to set it up:
y=1/4x + b
Plug in the coordinates (-4, 2) next:
2=1/4(-4) + b
Solve:
2= -1 + b
add one on both sides:
3= b
Use the information to get the equation:
y=1/4x + 3
I hope this helps!!
Answer:
dfjhbgvdsasdfgf
Step-by-step explanation:
I will mark brainliest if you can help with these and show work plus 40 points
Answer:
Step-by-step explanation:
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles
Answer:
Time taken to travel at 3 miles = 1.875
Time taken to travel at 5miles = 1.125
Total distance = 11.25
Step-by-step explanation:
D = speed x time
Time = distance/speed
Time at 3 miles per hour and 5 miles per hour
T1 = d/3
T2 = d/5
Total time = 3 hours
T1+t2 = 3 hours
d/3 + d/5 = 3
= d(1/2+1/5) = 3
d(5+3/15) = 3
d(8/15) = 3
We cross multiply
8d = 45
d = 45/8
= 5.625 miles
Total distance = 2d
2x5.625 = 11.25 miles
Since d is now known
T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes
T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes
Total distance 2xd = 11.25
Answer:
the answer is
A. 1.875 hours
C. 5.625 miles
D. 11.25 miles
Step-by-step explanation:
magic
1x+2x = what?
Will mark brainiest whatever that mean
Answer:
3x
Step-by-step explanation:
Answer:
3x
Step-by-step explanation:
1+2=3
so 1X+2x=3x
8 added to f is the same as 385
Write the sentence as an equation
Answer:
8 + f = 385
Step-by-step explanation:
8 added to f is the same as 8 + f.
The equal sign is basically "same as"
So 8 + f is "same as" 385.
Answer:
377
Step-by-step explanation:
8 + f = 385
subtract 8 from 385
385 - 8 = f
f = 377
if 2x+10 does not equal 42 then x does not equal 16
Answer:
I can help if you like actually finished the full question.
Step-by-step explanation:
2(16) + 10 = 42
32 + 10 = 42
if this is a true or false question than this would be true.
Use Triangle ABC to find the trigonometric ratio.
tan B =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
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Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)
(−4, −17), (−3, −10), (−2, 5), (−1, 2)
(1, −7), (2, −10), (3, −13), (4, −16)
(1, 1), (2, 4), (3, 7), (4, 10)
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
All the coordinates are represent linear function.
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 coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
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For the pair of points, find the slope of the line that passes through both points.
(1,1) and (7,5)
Someone please help
9514 1404 393
Answer:
622
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 +d(n -1)
where a1 is the first term (6), and d is the common difference (14-6=8).
Then the 78th term is ...
a78 = 6 + 8(78 -1) = 6 + 616 = 622
The 78th term is 622.
Cyclone cleared leaves from the same number of yards
each day for 5 days. Then on day 6, he cleared the leaves
from 8 more yards. He cleared 133 yards in all.
Answer:
Number of yards per day = 20.83 yard (Approx)
Step-by-step explanation:
Assume;
Number of yards = x per day
Number of yards on 6th day = x + 8
Total yards = 133
Find:
Number of yards per day
Computation:
Total yards = 5[x] + x + 8
133 = 6x + 8
6x = 125
x = 20.83 yard
Number of yards per day = 20.83 yard (Approx)
Answer:
20.83 yards
Step-by-step explanation:
Calculate Cubic Yards
Calculate your area
Calculate your volume: Multiply area times the depth to get volume in cubic feet
Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer
Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard
Total yards = 5[x] + x + 8
Solve
133 = 6x + 8
6x = 125
x = 20.83 yard
Therefore, the Cyclone cleared 20.83 yards on the first day.
Write 3 Equivalent ratios for the following ratio: 3:4
Answer:
3:4=6:8=12:16=24:32
Step-by-step explanation:
To find an equivalent ratio, you just need to multiply or divide both quantities by the same number.
17. Find the value of x to
make the following equation
true.
n
Answer:
- 2
Step-by-step explanation:
Step 1:
[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex] Equation
Step 2:
[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex] Subtract the exponents
Step 3:
[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex] Subtract
Answer:
x = - 2
Hope This Helps :)