2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!
Answers
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
-56 = a(3²) + b(3) + c
-56 = 9a + 3b + c 1)
-16 = a(-1²) + b(-1) + c
-16 = a - b + c 2)
-51 = a(-2²) + b(-2) + c
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
Related Questions
Factor out the coefficient of the variable term.
4x - 20
Factored expression:
Answers
Answer:
[tex]4(x-5)[/tex]
Step-by-step explanation:
The expression 4x - 20 has the greatest common factor (GCF) of 4.
[tex]4x-20\\4(x-5)[/tex]
Therefore, the factored expression is 4(x - 5).
The coefficient of the variable for the expression 4x - 20 is found as 4.
What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.For the given question,
The expression is given as;
4x - 20
where,
4 is the coefficient of the variable of the expression.
-20 is the constant in the expression.
Thus, the coefficient of the variable is found as 4.
To know more about the coefficient of the variable, here
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I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve for x: 7x = 4x + 27
x =
Answers
Answer:
x = 9
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
[tex]7x - 4x = 4x + 27 - 4x[/tex] [tex]3x = 27[/tex]Step 2: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{27}{3}[/tex] [tex]x = 9[/tex]Step 3: Check if solution is correct.
[tex]7(9) = 4(9) + 27[/tex] [tex]63 = 36 + 27[/tex] [tex]63 = 63[/tex]Therefore, x = 9.
3x = 27
x = 9
See the question
Help
I’ll give a brainliest
1 , 2 , 3 , or 4 ?
Answers
Answer:
the answer is 3 I think if not than 2
‼️PLEASE HELP I HAVE NO IDEA ON HOW TO DO THIS‼️‼️
Solve each system by elimination. Please show the work.
1. 3x+3y+6z=9; 2x+y+3z=7; x+2y-z=-10
2. 3x-y+z=3; x+y+2z=4; x+2y+z=4
3. x-2y+3z=12; 2x-y-2z=5; 2x+2y-z=4
Answers
Answer:
under what topic is this?
I have more questions to due after this
Answers
Answer:
a reflection over the line y=-x
Step-by-step explanation:
Steffan cycled 10km in 45 minutes. He rested for
20 minutes then cycled a further 8 km in 40 minutes.
Work out his average speed for the whole journey.M
Give your answer correct to one decimal place.
Math
Answers
Answer: If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.
Step-by-step explanation:
Hope this helps!
Answer:
0.2km/min or 12.7km/hour
Step-by-step explanation:
speed = distance ÷ time
speed = (10km + 8km) ÷ (45 mins + 40 mins)
= 18 ÷ 85
= 0.21176...km/min ≈ 0.2km/min
To convert 0.21176...km/min into km/hr, you multiply by 60
0.21176...km/min × 60 = 12.70588...km/hr ≈ 12.7km/hr
Please answer will mark BRAINELIST!
Answers
Answer:
C
A
C
Step-by-step explanation:
94.
The equation for the supply curve in the below diagram is approximately:
P
30
20
10++
IN
Q
0
20
40
60
80
100
A. P= 4+1,0
B. P= 4+20
C. P=4+39
D. P= 4.30
Answers
Answer:
are you cheating again?
Step-by-step explanation:
cuz I wanna know the answer too
Plz help I need help
Answers
If the rate of the boat in still water is 20 mph, and the rate of the current is x mph, what is the rate of the boat going upstream
Answers
9514 1404 393
Answer:
20 -x
Step-by-step explanation:
Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...
20 -x . . . . miles per hour
(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.
Answers
Answer:
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
Step-by-step explanation:
(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)
(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)
−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that:
[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]
Opening the brackets,
[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]
Opening the next brackets,
[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]
So,
[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]
Hence, the product is,
[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]
In a distribution with a mean of 100 and a standard deviation of 15, the probability that a score
will be 115 or higher is _____ Please show all your work.
Answers
Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866
Given the Parameters :
Mean, μ = 100Standard deviation, σ = 15 Score, X ≥ 115Zscore = (X - μ) ÷ σ
Zscore = (115 - 100) ÷ 15
Zscore = 1
Using a normal distribution probability ;
P(Z ≥ 1) = 1 - P(Z ≤ 1)
P(Z ≥ 1) = 1 - 0.84134
P(Z ≥ 1) = 0.15866
Therefore, the probability is 0.15866
Learn more :https://brainly.com/question/8165716
If f(x)=3x-2 and g(x)=2x+1, find (f+g)(x)
A. 5x - 3
B. x - 3
C. x - 1
D. 5x - 1
brainliest for help!!
Answers
Answer:
D. 5x - 1
Step-by-step explanation:
To solve this, you need to add together f(x) and g(x)
f(x) + g(x) = (3x - 2) + (2x + 1)
3x + 2x = 5x
-2 + 1 = -1
The answer is 5x - 1
Can someone explain this to me on how you do this by step from step?
Answers
Answer:
5% of $5.00
[tex] \frac{5}{100} \times 5.00[/tex]
[tex] = \frac{1}{4} [/tex]
James loves to run. This month he plans to run 25 times. If he runs 13 miles
each time he runs, how many total miles will James run? Write an equation and
then solve the problem,
Answers
Answer:
325
Step-by-step explanation:
All you have to do is 25 x 13
25 x 13 = 325
So he will run a total of 325 miles
What is the answer to these questions?
Answers
Answer:
The answer to the first question is: 9 4/21
The answer to the second question is: B.) 24 14/27
I hope this helps you! :D
Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.
He asks her to calculate how much money the band would make if she ordered 500 boxes of
each type of candy. He also asks her to calculate the profit on an order of 300 boxes of milk
chocolate and 500 boxes of dark chocolate. Determine both answers and show your work.
Answers
Answer:
how much does each box cost?
Step-by-step explanation:
Which of the following fractions is equivalent to 4/20? 2/6 8/16 1/2 3/6 5/10 7/11
Answers
Answer:
1/2
Step-by-step explanation:
David has one watermelon that weights 1867g. He splits it in half, and weights one half. That half weights 755g. How much does the other one weight?
Answers
Answer:
1112 grams
Step-by-step explanation:
1867-755=1112 g
Answer:
1112 grams.
Step-by-step explanation:
1867g - 755g = 1112 g
brainliest please. . . .
What is the slope between these two points (-2, 7) and (4, 6)?(
Answers
[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]
The slope is -1/6
6-7/4-(-2)
-1/6
= -1/6
8.4y - 6.8 = - 3.2y + 16.4
Answers
Answer:
y = 2
Step-by-step explanation:
help please i will give brainliest ^^;;
Answers
Answer:
The slope for number 4 is 5/-4 and for number 6 is 4/1
Step-by-step explanation:
5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4
4/1: again it's rise over run so you have to go up (positive) 4 and right one (positive)
Answer:
hello
are you army
who is your bias
Two lines are _______ if and only if they lie in the same plane and intersect at right angles.
Answers
Answer:
I believe your answer to go in the blank should be bisectors. I hope this helps you! :)
Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.
Answers
Answer:
The answer is 100$ worth of lemonades
Step-by-step explanation:
Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.
$5.95-$2.29 explained step by step
Answers
Answer:
$3.66
Step-by-step explanation:
5.00-2.00 = 3.00
0.95-0.29 = 0.66
3.00 + 0.66 = $3.66 which is the answer
Ok,so:
We don’t need the $ sign now.
So.
1. 5.95 -2.29 which is 3.66!
5 - 2 is 3, and 0.95 - 0.29 is 0.66.
So now add :3 + 0.66 is 3.66
So $3.66!
Hope this helped!
Someone help plz tyyyy!
Answers
Answer:
When y=7,9 the answer is yes when it = -10,-8 the answer is no.
Step-by-step explanation:
Simple substitution gets us the resulting values. for y=7 we get [tex]15\geq 15[/tex] which is true. For y=9 we get [tex]19\geq 15[/tex] which is also true. For the other values we get a negative number which is not a solution.
it’s for i ready. please help
Answers
Answer:
6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)
Step-by-step explanation:
1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.
6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)
Factor.
3x(y−4)−2(y−4)
Enter your answer in the box.
Answers
Answer: Use the distributive property to multiply 3 by y−4.
3y−12−2(y−4)
Use the distributive property to multiply −2 by y−4.
3y−12−2y+8
Combine 3y and −2y to get y.
y−12+8
Add −12 and 8 to get −4.
Anwser:
y−4
Step-by-step explanation:
Hope this helps!
It took 35 seconds for 5 songs to download to Rebecca’s computer. The next day, it took 42 seconds for 6 songs to download. Write an equation in point-slope form to represent the time y it took to download x songs.
NEEDS TO BE STEP BY STEP
Answers
The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)
Since it took 35 seconds for 5 songs to downloadand it took 42 seconds for 6 songs to downloadIn essence, we can represent the information as;
(5, 35) and (6,42)To find the slope of the equation; we have;
Slope, m = (42-35)/(6-5)m = 7In essence, the equation in point-slope form to represent the time y it took to download x songs is;
(y - 35) = 7(x - 5)Read more:
https://brainly.com/question/6497976
h e l p m e please its 20 points
Answers
Answer:
its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners
Step-by-step explanation: