The quadratic equation that contains the three points is y = -x² + 3x + 40
A quadratic equation is in the form:
y = ax² + bx + c
At point (-4, 12):
12 = a(-4)² + b(-4) + c
16a - 4b + c = 12 (1)
At point (2, 42):
42 = a(2)² + b(2) + c
4a + 2b + c = 2 (2)
At point (3, 40):
40 = a(3)² + b(3) + c
9a + 3b + c = 40 (3)
Solving equation 1, 2, and 3 gives:
a = -1, b =3, c = 40
y = -x² + 3x + 40
Hence the quadratic equation is y = -x² + 3x + 40
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helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answer:
x + y =5 .......eqn (1)
x - y =3 .......eqn(2)
using substitution method
x + y = 5
-
x - y = 3
0 + 2y=2
y = 2/2
y = 1
substitute y in egn(1)
x + 1 = 5
x = 5-1
x = 4
then (x, y) = (4,1)
Please help. I don't know what I did wrong. I need help with #18. Below me is an image of the #18.
Answer:
m = -12
Step-by-step explanation:
everything is ok til the 3rd equation line
-15m - 30 = -12m + 6
-30 - 6 = -12m + 15m
-36 = +3m
-36/3 = m--------> 3 x -12 = - 36
-12 = m
How many times as great is 4 x 106 compared to 8 x 103
PLEASE HURRY AND ANSWER KIND OF IN A RUSH HERE
The number of times [tex] 4 \times 10^{6} [/tex] is greater than [tex] 8 \times 10^{3} [/tex] obtained using the division operation is 500 times
Given ::
Numerator = [tex] 4 \times 10^{6} [/tex] Denominator = [tex] 8 \times 10^{3} [/tex]Using the principle of indices :
[tex] (4 \times 10^{6}) \div (8 \times 10^{3}) = 0.5 \times 10^{(6-3)} = 0.5 \times 10^{3} = 500 [/tex]Therefore, [tex] 4 \times 10^{6} [/tex] is 500 tones greater than [tex] 48 \times 10^{3} [/tex]
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The Flintstone and Rubble families went out to dinner. The Flintstones purchased 3 cheeseburgers and 2 hotdogs for $19. The Rubbles purchased 2 cheeseburgers and 1
hotdog for $12.
Determine the total cost of buying ONE cheeseburger and ONE hotdog to select the True statement:
O A. 1 cheeseburger + 1 hotdogs4
B. 1 cheeseburger + 1 hotdog = $5
OC. 1 cheeseburger + 1 hotdog = $6
OD 1 cheeseburger + 1 hotdog = 57
Answer:
C
Step-by-step explanation:
he recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer:
24 times 9.75 = $234
Step-by-step explanation:
Answer:
It would cost $39 to serve 24 people
Step-by-step explanation:
If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as
6 people - $9.75,
24 people - $x.
Or as proportion,
6/24=9.75/x
Find x:
6·× =9.75·24,
x=9.75·24/6=9.75·4=39
Answer: It would cost $39 to serve 24 people
Peyton has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and $16 per hour to work at the nursery. How many total hours does she work if she does 12 hours at the grocery store and 9 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?
Answer:
Total hours worked = 21
Total earned = 15gg + 16nn
Step-by-step explanation:
We know:
Grocery store: $15/hour
Nursery: $16/hour
Total hours worked = 12 + 9 = 21
Your expression would be:
Total earned = 15gg + 16nn
58
4 25
What is the mixed number of decimals
Answer:
fun fact : by reading what i just right u just lost 5 sec of your life
Step-by-step explanation:
Consider the line with equation y=-2x + 2.
Can you write the equation of a line through
point (3,-4) that is perpendicular to the given line?
Answer:
[tex]m_{1} \times \frac{1}{m_{2}} = - 1 \\ m_{2} = \frac{1}{2} \\ \frac{1}{2} = \frac{y + 4}{x - 3} \\ 2y + 8 = x - 3 \\ 2y = x - 3 - 8 \\ 2y = x - 11 \\ y = \frac{1}{2} x - \frac{11}{2} [/tex]
Can someone help me do this
Answer:
X = 2
5y + (what is that number???) can not see it
What is the equation of the line through (7, -1) with slope -3?
Select one:
a.
y = 3x - 22
b.
y = -3x - 20
c.
y = -3x + 20
d.
y = -3x + 22
Answer:
y = -3x + 20
Step-by-step explanation:
Slope: - 3
b = -1 - (-3)(7) = -1 + 21 = 20
Which of the following is TRUE?
1 point
A.√0 = ± 0
B.√36 = ± 6
C.√-25 = 5
D.√48 = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
[tex] \sqrt{36} = \pm6[/tex]Angles that lie on the same side of the
transversal and on the same side of the parallel Ines. These engles are in
the same "corner and are congruent
3/5 + 1/6 - 2/3 plz help me................
Answer:
1/10
Step-by-step explanation:
Check various online stuff for the steps
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} +\frac{1}{6} =\frac{3*6}{5*6} +\frac{1*5}{6*5} =\frac{18}{30} +\frac{5}{30} =\frac{18+5}{30} =\frac{23}{30}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three fifths plus one sixth = twenty-three thirtieths.
Subtract: [tex]\frac{2}{3} =\frac{23}{30} -\frac{2}{3} =\frac{23}{30}-\frac{2*10}{3*10} =\frac{23}{30}-\frac{20}{30}=\frac{23-20}{30} =\frac{3}{30} =\frac{3*1}{3*10} =\frac{1}{10}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(30, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 3 = 90. In the next intermediate step, , cancel by a common factor of 3 gives [tex]\frac{1}{10}[/tex]
In words - twenty-three thirtieths minus two thirds = one tenth.
If each block sides are 1 cm long, what is the volume of this object?
4 cubic centimeters.
Brainliest would be great. Comment below if it helped!
Answer:
The volume for this object is 4.
Step-by-step explanation:
For each block, we need to multiply using the volume formula which is
Length x Width x Height
So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.
, Hope this helps :)
Have a great day!!
Can anyone answer with an explanation?
Answer:
x=0.136
Step-by-step explanation:
4x^3-6x^2+16x-6=0
64x-36x+16x-6=0
28x+16x-6=0
44x-6=0
+6 +6
44x= -6
/44 /44
x=0.136
what is
[tex]8x10 {}^{6} [/tex]
what is the equal to
Need help asap pls pls pls
(D) {-4, -1, 0, 1, 4 }
is the correct answer
Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of books and pencils Ashley and James have are proportional.
How many books does James have? Show your work using mathematics.
Answer:
8 books
Step-by-step explanation:
First you need to find the ratio between 6 and 9
6/9 = 2/3
The ratio is 2/3
Now for James's case his denominator would be 12
x/12
To find the numerator you need to multiply the denominator by 2/3
12 * 2/3 = 8
There you go, the numerator is your answer
8 books and 12 pencils
Hope this helps :)
Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.
MNO represents the translation 2 units left and 2 units down of triangle ABC.
PQR represents the dilation of triangle ABC by a scale factor of 2.
Which of these is correct?
The missing options are located here; https://brainly.com/question/18156103
The option that correctly describes the transformation that took place with triangle ABC is; Option A.
In transformations, translation simply means shifting an object from one position to the other while dilation simply means increasing or decreasing an object by a scale factor.This means that translation preserves the lengths and angles of the object while the lengths and angles change with dilation.Option A; Triangle MNO represents a translated triangle and as such the lengths and angles remain unchanged and so this option is correct.
Option B; Not true because both lengths and sides are preserved as stated above.
Option C; Transformation to PQR denotes dilation by a factor of 2 and as such the lengths and angles change. Thus this option is not true.
Option D; This is not true for the same reason in option C above.
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50 = -1/3b + 20
What is b?
A square has an area of 112 in2. What is the side
length?
Answer:
a=10.5
a=A=112≈10.58301in
Part F
Are the two triangles similar? Why or why not?
The Two triangles are similar. The bigger blue triangle is the quadruple the size of the smaller green one. The blue triangle's area is 4 times the green one.
Blue triangle- 6×4=24
Green triangle- 3×2=6
Mark BRAINLIEST!
Please!!!
(-4x2 – 2x – 6) – (-7x2 – 2x – 2)
2
Step-by-step explanation:
:) hope its correct lol
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
Consider the inequality.
What is the solution to inequality
Answer:
C, hope this helps :)
Answer:[tex]x\leq 2[/tex]
Step-by-step explanation:
Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2
Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true
Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
what is 15% of $8.00
Answer:
15% of $8.00 is: $1.20
Step-by-step explanation:
Hope this helps :)
Pls mark as brainliest <3
0.884743701 British pounds and 1.2 US$
Select all the statements that best describe the graph below.
The Correct choices are :
The independent variable is MonthsThis is a positive relationship The relationship is linear The rate of change is constant The dependent variable is dollars in savings account