Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
Which is the complete factorization of this expression?
-24x + 64
Answer:
−8(3x − 8). thats the answer, im doing the USA testprep too
I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS
Answer:
A: The Twelve Oaks farm has 14 sheep and 2 acres of land.
Step-by-step explanation:
For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.
A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.
B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.
C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.
D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.
Hope this helps!
Please tell me if I am incorrect I enjoy learning from my mistakes!
Good luck!
5x+4y=116 10x+6y=204 solve for x and y
Answer:
x = 12
y = 14
Step-by-step explanation:
5x + 4y = 116
5 x 12 = 60
4 x 14 = 56
60 + 56 = 116
10x + 6y = 204
10 x 12 = 120
6 x 14 = 84
120 + 84 = 204
-------------------------------------------
Here's how I found x and y:
10x + 6y = 204 can be divided by 2
5x + 3y = 102
Then I took 116 and subtracted 116 given the difference
in y.
116 - 102 = 14
So y = 14 and then I sovled for x:
5x + 56 = 116
116 - 56 = 60
60/5 = 12
10x + 84 = 204
204 - 84 = 120
120/10 = 12
In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?
Please help me i will mark brainlist
Answer:
i cant make a diagram but here i go.
Step-by-step explanation:
250-135=115
250-150=100
100+115=215
250-215=35
So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.
regularly $59.99, on sale for 40% off. What is the
totall paid, including 7.875% tax?
i just wanna know how to do the work:)
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?
2s - 10
2s + 10
s - 10
s + 10
Answer:
side - equation - measurement
1st side - 2s - 65 - 55cm
2nd side - s - 60cm
3rd side - s - 10 - 50cm
Step-by-step explanation:
total = 165
side - s
1st side = 2s - 65
2nd side = s
3rd side = s - 10
1st side + second side + 3rd side = 165
2s - 65 + s + s - 10 = 165
2s + s + s - 65 - 10 = 165
4s - 75 = 165
4s = 165+ 75
4s = 240
s = 60
1st side = 2s - 65
= 2(60) - 65
= 120 - 65
= 55cm
2nd side = s
= 60cm
3rd side = s - 10
= 60 - 10
= 50cm
3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10
Answer:
s-10
I took the quiz
1. Evaluate: 2 + x - 2(8) for x = 9
Answer:
-5
Step-by-step explanation:
2+9-2(8)
11-16
Answer:
-5
Step-by-step explanation:
2+9-16(got it 2 x 8)
So the answer -5
im sorry if the answer was wrong
What us the answer?
Answer:
The graph so C
Step-by-step explanation:
Cause u can’t get two or more x values for different for one y value( if u plug in 3 and u get 5, u can’t plug in 3 again and get 10)
2. What is the y-intercept of this graph?
25 points
O A1
OB. 2
O c. 2
O 0.4
i am confused on how to solve this
Answer:
a) Both slopes are 4
b) The function g(x) has a greater y-intercept
Step-by-step explanation:
a) To find the slope of the function g(x), simply look at the coefficient (the number before the variable x). In this case, the coefficient is 4, so your slope is 4. This is because the equation is in slope-intercept form: y = mx + b where m is the slope.
To find the slope of function f(x), take two y-coordinates (y-coordinates are found in the column f(x)) and subtract one from another. This is your rise. Then, take two x-coordinates (from column x) and subtract one from another. This is your run. Divide the rise by the run, and you have your slope. In this case, you should get 4/1, or 4.
b) To find the y-intercept for function g(x), take a look at slope-intercept form again: y = mx + b, where b represents the y-intercept. So, the "b" of g(x) = 4x + 3 is 3. Your y-intercept is 3.
To find the y-intercept of function f(x), locate the row where there is a zero under column x. In this case, it's the second row. The number -1 is your y-coordinate when x is zero. Your y-intercept is -1.
-1 is less than 3, so the y-intercept of function g(x) is greater.
Hope this helps!
find the length of x and y
Answer:
x = 10.296
y = 5.831
Step-by-step explanation:
You can use the Pythagorean theorem to solve the triangles shown in various ways.
9²+5²=x²
x = 10.296
5²+3²=y²
y = 5.831
someone buys a pen for 1.09 and paper for 2.50 how much more does the paper cost more then the pen
Answer:1.41
Step-by-step explanation: subtraction
help me ahhhhhhhhhhhhhhhhhh
I got m 7/3 I think that's the answer
hElp Me PLaesssssssssssssssssssssssssssss
Help needed!!! Timed test will give brainliest and 20 points
Answer:
The answer would be 2133.3cm squared
The points (-1, 5) and (7, r) lie on a line with slope 5/4
Find the missing coordinate r.
Answer:
15
Step-by-step explanation:
7-(-1) is 8
8 divided by 4 (x or “run” of slope) is two
Two times five (y/rise of slope) is ten
5 (from original point -1,5) plus 10 is 15
(7,15)
a = 6x-11
g= 36
n = 7x - 27
Solve for x
Answer:
6x - 11 + 7x - 27 = 36
6x + 7x = 13x
-11 + (-27) = -38
13x - 38 = 36
-38 - 36 = -74
13x/13 = -74/13
x = -74/13
Step-by-step explanation:
can no longer be simplified
3 The ratio of boys to girls at the dance was 10 to 15. How many girls were at the dance if there were 60 boys at the dance? Answer
Step-by-step explanation:
90 girls were at the dance
Answer:
60:90
Step-by-step explanation:
use cross multiplication :)))
Heyoooo :D
I already did the first one, just need help on the last 2. If the first on is wrong, correct it!
:)
Answer:
D
Step-by-step explanation:
Alfredo is buying a watch for $200. He will make an initial payment of $50 and
then pay the remaining balance in payments of $15 per week.
Which function can be used to find a, the amount he will still need to pay at the
end of n weeks?
Answer:
Step-by-step explanation:
There is nothing to choose from.
However, 200-50 down payment will leave 150 left on the watch. 150 divided 15 a month is 10 months.
200=50+15(n)
200=50+15(10)
Can anybody tell me if the answer I picked is right
Answer:
the answer is the second answer choice
Step-by-step explanation:
You have to pay close attention to the open and closed dots on beggining and end of your line
help me with this please
Answer:
non of these answers are correct.
Which of the following ratlos is not equivalent to 6:10?
9
15
48
O
80
3
5
o
24
45
Answer:
24/45 or 9/15
Step-by-step explanation:
none of these is equivalent to 6:10
Someone answer this pls
Answer:
-3 ? from what I got but you dont have it there
7) let f(x)=2x squared - 5x +9
find a, b, and c
a) 1, 5, and 9
b) 2,- 5, and 9
c) 0,5, and 9
d) none of these answers is correct.
Answer:
a
Step-by-step explanation:
ITS RIGHT
Please Help Me! ASAP!
The graph of a system of two linear equations is shown. How many solution does the system of equation have?
A. No Solution
B. Infinitley Many Solutions
C. Two Solutions
D. One Solution
Answer:
two solutions
Step-by-step explanation: it cant be no solution because no solution will be a vertical line it can be one solution becuase y=x is a solution and so is y=4
A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal
Answer:
213,645.6cm³
Step-by-step explanation:
Area of a cylinder is expressed as;
V = πr²h
r is the radius = 2cm
h is the height = 70cm
Get the volume of one rod;
V = πr²h
V = (3.14)(2)²(70)
V = (3.14)(4)(70)
V = 879.2cm³
one steel = 879.2cm³
243 rods = x
Cross multiply;
x = 879.2 * 243
x = 213,645.6
The company will need 213,645.6cm³ volume of steel to make 243 rods
What is the unit rate?
18 dollars for 4 books
(Round your answer to the nearest hundredth if you need to)
Answer:
$4.50 per book
Step-by-step explanation:
What should you do during the editing stage of the writing process?
What the distance between points 3,2 & 9,5??
Answer:
the difference is 1 and 4
Step-by-step explanation:
hope this helps
