Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
Write down an equation of the line that is perpendicular to y=2x+5
I will mark as brainliest
Answer:
y = -1/2x +5
Step-by-step explanation:
The perpendicular slope will be the negative reciprocal of the original slope
the reciprocal of 2 is 1/2, and the negative of that is -1/2
In ΔIJK, i = 16 inches, j = 22 inches and k=12 inches. Find the area of ΔIJK to the nearest 10th of an square inch.
Answer:
86.2 in squared
Step-by-step explanation:
Harons formula
Answer:
93.7
Step-by-step explanation:
radius equal to 15 cm what is the circumference of the circle
Given:
Radius = 15 cm
To Find:
Circumference of the circle
Let's start.
We know that the formula of Circumference is
[tex] \sf \longmapsto2\pi r[/tex]
Put the values We know that the formula of [tex]\sf\pi[/tex] is 3.14Radius given is 15 centimetre[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]
[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]
[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]
[tex] \sf \longmapsto94.2 \: cm[/tex]
[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]
Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answer:
603 because it’s odd
360 because it doesn’t have a 0 in the tens place
502 because the sum of the digits doesn’t equal 9
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60
does the right riemann sum underestimate or overestimate
That depends on the function in question.
If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.
If f is non-increasing, the right Riemann sum underestimates the integral.
What multiplication product is represented by this grid
Answer: 0.07 x 5
There are 35 colored out of the 100 = 35%
35% = 0.35 = 0.07 x 5
Help!!! can someone answer these, Thank You!
help plssss PLSS I BEG YOu
Answer: Just Try to Do somthing because i cant tell you the Answer
Step-by-step explanation:
Which expression represents the area of this figure in square feet?
Answer:
(3×2) + (3×4)
Step-by-step explanation:
One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.
Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.
(36.39- 2.99)/20
Total- chips, so total amount for juice.
Then, divide by 20 because she bought 20 bottles
Answer:
1.67
Step-by-step explanation:
36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67
If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55
}
Answer:B
Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down
Answer:
ans is i think a) $5.50
Step-by-step explanation:
'cuz if 5 boxes cost $27.50
so it will be
[tex]27.50 \div 5 \\ = 5.50[/tex]
Solve for x, then find each angle measure
Answer:
x=13
Q=30
P=126
R=24
Step-by-step explanation:
To find x put them all into an equation like this:
(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)
calculate and you'll get x=13.
then to find each angle just put 13 in place of x
4(13)-22=30
10(13)-4=126
(13)+11=24
Can somebody answer this?
Answer:
its A
Step-by-step explanation:
At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.
Answer:
1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00
Step-by-step explanation:
What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.
Answer:
p = 16
Step-by-step explanation:
(p + 2) - 4 = 14
We can just drop the parentheses:_
p + 2 - 4 = 14
p - 2 = 14
Add 2 to both sides:-
p - 2 + 2 = 14 + 2
p = 16
A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.
Lets start by finding the equation.
25 is the constant, .3 is the slope, and 50.2 is the final.
This means that our equation is:
50.2 = .3x + 25
50.2 - 25 = .3x
25.2 = .3x
25.2 / .3 = x
84 = x
This means that Ken travelled 84 miles if his bill was $50.2.
I hope this helps! :)
an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?
insane in the membrane
At 12:05, a
parachutist is 8000 feet above the ground.
At 12:08, the parachutist is 5400 feet
above the ground. Find the average rate of
change in feet per minute.
432 + 26 × 10 (Use PEMDAS and show steps to how you got the answer) Plsss help me somebody :)
Using PEMDAS, the result of the expression is 692
The expression is given as:
432 + 26 * 10
Using PEMDAS, we start by evaluating the products
So, we have:
432 + 26 * 10 = 432 + 260
Using PEMDAS, we then evaluate the sum
432 + 26 * 10 = 692
Hence, the result of the expression is 692
Read more about mathematical operations at:
https://brainly.com/question/2475734
f(x)=-3x^2 find f(-2)
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
-10x + 2y = 12
What is each equation in slope intercept form
Answer:
[tex]y = 5\, x + 6[/tex].
Step-by-step explanation:
The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)
In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].
Rewrite the given equation to obtain the slope-intercept equation of this line.
[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)
[tex]2\, y = 10\, x + 12[/tex].
[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)
Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].
What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2
over the interval [0,2pi]?
Answer: C: pi/6 and 11pi/6 only
Step-by-step explanation:
Edge2020 :]
Consider the two linear expressions. -(-3 -60 – 3) and 3.5 – 60 Are the two linear expressions equivalent? Drag a word or phrase to the box to correctly complete the statement
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
Lindsey's new car travels 93 miles on 3 gallons of gasoline. how many gallons are needed to travel 310 miles?
The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils
Answer:
164.67 cm
Step-by-step explanation:
The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,
[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]
On solving ,
[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]
When a student of height 168cm is added ,
[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]
[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]
An envelope is 6 in. wide and 4 in. high. Will a card with an 8 in. diagonal fit in it? Identify the correct explanation.
A) Because 7.2 < 8, it is possible that the card fits in the envelope.
B) Because 8.9 > 8, it is possible that the card fits in the envelope.
C) Because 7.2 < 8, it is NOT possible that the card fits in the envelope.
D) Because 8.9 > 8, it is NOT possible that the card fits in the envelope.
How to find missing angle of a right triangle given 2 sides
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.