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].
What is the sign of the quotient of two numbers with opposite signs?
Answer:
negative
Step-by-step explanation:
if they have the same signs then they are positive if they have different signs then they will be negative
Paul is locked out of his house. An 18-ft ladder is outside and an upstairs window is open. Paul read the safety warning on the ladder recommending it be placed six feet away from the wall. He placed the ladder according to the warning and it reached the base of the window. How high is the base of the window off the ground?
Answer:
17.0 ft
Step-by-step explanation:
Let h be the height of the base of the window from the ground, L be the length of the ladder = 18 ft and d be the distance of the ladder from the wall = 6 ft. Now, these three lengths form a right-angled triangle with the length of the ladder, L as the hypotenuse side.
So, using Pythagoras' theorem,
L² = h² + d²
So, h = √(L² - d²)
Substituting the values of L = 18 ft and d = 6 ft, we have
h = √((18 ft)² - (6 ft)²)
= √(324 ft² - 36 ft²)
= √288 ft²
= 16.97 ft
≅ 17.0 ft
How do i (F)ind the (R)atio in the( E ) probl(E)m ...points
Answer:
Yuh smooth brain
Step-by-step explanation:
Noice
John and his mother are trying to determine the dimensions of their new curtains. They know that the area of the fabric they have available is y^2-10y+25 square inches. Which of the following are possible dimensions of the curtains, in inches?
A.
(y – 1)(y – 10)
B.
(y – 25)(y – 1)
C.
(y – 5)(y – 5)
D.
(y + 5)(y – 5)
Answer:
the answer is C . (y-5)(y-5)
Step-by-step explanation:
i just did it in edge
Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 books for $18 because each book costs $9 and 6 books for $45 because each book costs $9.50 b.2 books for $18 because each book costs $8 and 6 books for $45 because each book costs $9.50 c.6 books for $45 because each book costs $7.50 and 2 books for $18 because each book costs $9 d.6 books for $45 because each book costs $9 and 2 books for $18 because each book costs $9.50 answer fast please
Answer:
I am a little confused by your question but if you were getting less it would be the first but more would be the second
Step-by-step explanation:
Answer:
c. 6 for 45 b/c each costs 7.50 and 2 for 18 b/c each book costs 9
Step-by-step explanation:
If you divide the amount of money by the number of books then you will find how much each book costs individually. If you wanna spend less money per book, then you 6 books for 45 is a better deal
Help ASAP I honestly really suck lol
Answer:
The answer is:
C. sin A = 48/50
Step-by-step explanation:
I already did this math work, and i got a 100 (A+) So i hope this help
Which expression represents four more than twice a number?
Group of answer choices
2n + 4
4 + 2
n2 + 4
2n - 4
Answer:
2n+4
Step-by-step explanation:
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
5
The slope is 2, and the y-intercept is 4.
5
The slope is 2, and the y-intercept is 4.
5
The slope is 4, and the y-intercept is 2.
5
The slope is 4, and the y-intercept is 2.
Answer:
slope(m)=4 and
y-intercept(c)=-5/2
Step-by-step explanation:
here,8x-2y=5
reducing it into slop intercept form we get,
2y=8x-5
or,y=8/2x+(-5/2)
or,y=4x+(-5/2)
comparing it with y=mx+c we get,
slope(m)=4 and
y-intercept (c)=-5/2
Find the slope of two points (1,-5)(10,6)
Answer:
11/9
Step-by-step explanation:
Answer: 11/9
Step-by-step explanation:
The slope is found by the change in y over the change in x
(6-(-5))/(10-1)
Simplify:
11/9
15/3 = ?/1. what's the missing unit rate
Answer:
5
Step-by-step explanation:
15/3 is the same as 5 since 5*3 is 15
PLEASE ANSWER THISSS
Answer:
78.5 ft
Step-by-step explanation:
You had the right answer
Hope you got the clarification you needed! :)
Brainliest pls
If f(x) = 4x+7 and g left parenthesis x right parenthesis space equals fraction numerator 1 over denominator 2 x end fraction w h a t space i s space t h e space v a l u e space o f space left parenthesis f over g right parenthesis left parenthesis 5 right parenthesis ?
Answer:
270
Step-by-step explanation:
its on my test this is the right answer
I will pick brainiest if you have the correct answer.
Answer: y=-6=-3(x-4)
Step-by-step explanation:
.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.
What is the cost in dollars and cents for each video game?
PLZZZZ HELP
Answer:
I would say it's $23.98
Step-by-step explanation:
If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98
Answer:
$23.98 or 2398 cents
Step-by-step explanation:
If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.
$100 = 4 games + $4.08
4 games = $95.92
$95.92/4 = $23.98
Hope That Helps.
Is A triangle with side lengths 24,32, 42 a right angle?
Answer:
No its not a right angle.
- Hermione is driving through Canada and she sees a sign that says construction ahead at
4,500 meters. How many kilometers before she hit road construction?
A.) 4.5 km
B.) 45 km
C.)4,500 km
D.) 0.045 km
Answer:
A
Step-by-step explanation:
1km=1000m
4500 divided by 1000 is 4.5
Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?
Answer:
2240
Step-by-step explanation:
7% of 8000 is 560, and 28% of 8000 is 2240. 560 x 4 is also 2240.
Which is bigger 67% or 3/5 Please help me
Answer:
67%
Step-by-step explanation:
This is because 67% is basically 67/100 as a fraction and 3/5 is only 60%, all you need to know is the facts about fraction to percentage
The lengths of the two legs of a right triangle are 4 and 7. What is the length of the
hypotenuse? Express answer in Simplified Radical Form.
Answer:8.06
Step-by-step explanation:
4 x 4= 16 7 x 7 = 49
49+16=65
square root of 65 =8.06
Answer:
[tex] \sqrt{65} [/tex]
Step-by-step explanation:
To find the hypotenuese of a right angle you use the pythagreon theroem.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
a and b are the height and base, while c is the hypotenuese. simply insert the values in the equation and find the variable.
[tex] {4}^{2} + {7}^{2} = {c}^{2} \\ 16 + 49 = {c}^{2} \\ 65 = {c}^{2} \\ \sqrt{65} = c[/tex]
The radical form answer is above, otherwise it would be a decimal.
Is (6,8) a solution to this system of equations?
I NEED HELP NOW PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! im gonna fail i swear help please now
what's 2+2 ?
Answer:
2+2 = 4
Step-by-step explanation:
ok so if u put 2 fingers up and you add 2 more, you get 4
bruv
4 3/7 + 6 1/5 = ?
Please EXPLAIN!!!
I'm too lazy and when I lazy I not so smart ;)
Answer:
Welp here is the answer to your question, 372/35 in exact form. in mixed number form it is 10 22/35
-7+82*78-67^6+5-4/6=?
sufferrrrrrrrrr!
Answer:
-90458375775.7
Step-by-step explanation:
yes
What is the answer to this ??
Answer:
the first one
Step-by-step explanation:
they meet on (-3,-$4) so just plug the numbers in
The combined weight of three cubes is shown below.
How many pounds would 24 cubes weigh if there are 16 ounces in 1 pound?
Answer: 6 pounds
Step-by-step explanation:
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
A water tank fills through two pipes. Water flows in
through one pipe at a rate of 25,000 gallons per hour
and in through the other pipe at a rate of 45,000
gallons per hour. Water leaves the system at a rate of
60,000 gallons per hour.
There are 3 of these tanks, and each tank holds
1 million gallons. Each tank is half full. Water is
entering and leaving a tank at the maximum
amounts. Determine the number of hours, x, it will
take to fill all 3 tanks one at a time.
Answer:
130,000
Step-by-step explanation:
Answer:oh hey yulissa ✌️
Step-by-step explanation:
through (2, -4) and parallel to y= 9/2x+3
Answer:
y=[tex]\frac{9}{2\\}[/tex] x-13
Step-by-step explanation:
first, since it's parallel the slope has to be the same and the y-intercept has to be different.
you will have y=9/2x+b
find b, by using the points you are given so you will get
-4=(9/2) times (2)+b.
then when sloving you will get b=-13 and so the full equation will be
y=9/2x-13
Which of the following is closest to 1/2 + 1/3?
Answer:
c
Step-by-step explanation:
1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8
Please help super easy question, just want to confirm I have the right answer
Answer:
L to M is 90 degrees
Step-by-step explanation:
Hope this helps!
Answer:
180
Step-by-step explanation:
i straight line is equal to 180