Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
Lincoln went to the grocery store and purchased cans of soup and
frozen dinners. Each can of soup has 250 mg of sodium and each
frozen dinner has 550 mg of sodium. Lincoln purchased a total of 13
cans of soup and frozen dinners which collectively contain 4450 mg of
sodium. Determine the number of cans of soup purchased and the
number of frozen dinners purchased.
Answer:
9 cans of soup and 4 frozen dinners
Step-by-step explanation:
I Question 7 (2 of 13)
Find area of shaded region. Round to the nearest tenth.
50 cm
radius: 20 cm
80 cm
Enter your answer by clicking the bubbles.
Is 2 a solution of 4z + 12 = 4? Complete the statement.
Answer:
No im pretty sure its not a solution.
Step-by-step explanation:
See if “z” is 2 than the answer to the solution would be 20
Answer:
The solution is -2
Step-by-step explanation:
4z + 12 = 4
Subtract 12 on each side (4z + 12 - 12 = 4 - 12)
4z = -8
Divide 4 on each side (4z / 4 = -8 / 4)
z = -2
Wil following three angles for a triangle? 30 degrees 60 degrees 90 degrees
Which expression is equivalent to the expression below?
g + g+g+g+g+g
Answer:
6 x g
Step-by-step explanation:
Answer:
[tex]g^{6}[/tex]
Step-by-step explanation:
Evaluate the expression 6h ÷ 2 when h = 3
Answer:
9
Step-by-step explanation:
18 / 2 = 9
Answer:
9
Step-by-step explanation:
6h/2
Since H is = to 3, u plug in 3 to H and 6 times H would be 3. 6*3 is 18 so then you wuold divide 18 by 2 which would equal 9
8 friends go to Subway and each get 1/2 of a sandwich. How many sandwiches did they get altogether?
1. According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York
City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is
true. Suppose 6 days are chosen at random. Let X = the number of days on which the train
arrives on time.
(B) Find the mean of X. Interpret this value in context. SHOW YOUR WORK.
Find the distance between (-2, -3) and (-2, 4).
I will give brainly thing if I figure out how to do it
Answer:
7
Step-by-step explanation:
-2, -3 and -2, 4 have the same x coordinate, so you only need to find the difference between -3 and 4.
Help and show work please
Answer:
11111111 111 1 1 1 11
Step-by-step explanation:
Answer:
ok 1+1= 25 and add 3000 and you get 1
Step-by-step explanation:
Write an expression that is equivalent to 123x + x + 2x
please help me find the missing side !
Answer:
x=14 and y=7
Step-by-step explanation:
This is a 30-60-90 triangle
So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]
If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees
And x would be 14 because 2(7)=14
What are the answers to the puzzle?
Answer:
1) 25°
2) 155°
3) 25°
4) 25°
5) 110°
6) 30.5°
7) 41°
Step-by-step explanation:
5) 5x + 15 = 8x - 42, 3x = 57, x= 19, ∠CDE = 5(19) + 15 = 110°
6) 3x + x + 4 + 70° = 180°, 4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°
7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°
Diane has 496 beads and Linda has 286 beads.
How many fewer beads does Linda have?
beads
Х
?
Answer: 210 fewer beads.
Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).
Which equation has no solution?
-595-65
Btw they are both negative numbers
Answer:
-660
Step-by-step explanation:
-595-65=-660
Choose the correct answer.
Answer:
9
Step-by-step explanation:
(✿◡‿◡) <-- she wants brainliest
The answer is 9
Step-by-step explanation:
I BELIEVE IT IS 9 N I HOPE THIS HELPS
What is the area of a circular region whose
diameter is 12 centimeters?
Answer:
A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)
The area of the circular region will be 113 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given by:-
A = πr²
Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.
r = d / 2
r = 12 / 2 = 6
The area of the region will be calculated as below:-
A = πr²
A = π x ( 6 ) x ( 6 )
A = 113.09 square centimeters
Therefore, the area of the circular region will be 113 square centimeters.
To know more about an area follow
https://brainly.com/question/24375372
#SPJ2
Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)
Answer:
No, it does not.
Step-by-step explanation:
It's a linear function, with a slope of -3 (down 3 for every new X as you move right)
Which of the following represents
this number in scientific notation?
-0.904
A. 9.04 • 10^-1
B. -9.04 • 10^1
C. -9.04 • 10^-1
D. -9.04 • 10^-3
Answer:
The correct option is (c).
Step-by-step explanation:
The given number is -0.904.
We need to represent the number in scientific notation.
Any number can be written in scientific notation as follows :
[tex]a\times 10^b[/tex]
Where
a is a real number and b is an integer
We can write it as follows :
[tex]-0.904=-9.04\times 10^{-1}[/tex]
Hence, the correct option is (c).
i rlly need help. plssssss
Answer:
10
Step-by-step explanation:
5 x 8 / 4
40/4=10
Given two points on a line (2, 5) and (6, 11), what is the rate of change?
Answer:
1.5
Step-by-step explanation:
I Need help on this question
Answer:
I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.
Step-by-step explanation:
What is 8/9ths of 4?
8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.
Answer:
8/36
Step-by-step explanation:
I divided 8/9 by 4
George Smith own's George's Joint, a gas station and convenience store. George is trying to get a better understanding of his business and wants to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons of gasoline sold follows a normal distribution with a population standard deviation of 2.3 gallons. From his records, he randomly selects 60 sales and find the mean number of gallons sold is 8.6. What is the point estimate of the population mean
Answer:
The point estimate of the population mean is of 8.6 gallons sold.
Step-by-step explanation:
Point estimate for the population mean:
From a large sample, the point estimate for the population mean is the sample mean.
In this question:
The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.
2 + ( x +24) + (2+x) = 40 find the value of x
What is the value of -4.4+ (5-2)(-6)?
Answer:
Step-by-step explanation:
-4.4 + (5-2)(-6) = -4.4 + (3)(-6) = -4.4 + (-18) = - 22.4
(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320
Answer:
listen i would do this for u bit i gtg so what u can do is:
Step-by-step explanation:
time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them
Helppppppppppppppppppppp
Matthew plots an integer on a number line that has an absolute value of 119. Gabrielle plots a different integer on the same number line that also has an absolute value of 119. Which two integers could Matthew and Gabrielle have plotted?
0 and 119
0 and –119
119 and –119
119 and 238
Answer: 119 and -119
Step-by-step explanation: The absolute value of a number is its distance from 0.
Answer:
119 and -119
Step-by-step explanation:
the value of a positive number inside the absolute values, signs doesn't change the value but if a negative number is put inside the absolute values, the signs change to be positive.
Hope that helps :)