Answer:
Step-by-step explanation:
To answer this we need only know that negative parabolas are upside down, so by definition, it has a max point at the vertex. To find the vertex (h, k), the easy way to do this is to fill in the following expressions for h and k and solve:
[tex]h=\frac{-b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] (These are derived from the quadratic formula). Filling in knowing our a = -1, b = -7, c = 12:
[tex]h=\frac{-(-7)}{2(-1)}=\frac{7}{-2}=-\frac{7}{2}[/tex] and
[tex]k=12-\frac{(-7)^2}{4(-1)}=12-(\frac{49}{-4})=12+\frac{49}{4}=\frac{97}{4}[/tex] so the vertex (aka max height occurs at [tex](-\frac{7}{2},\frac{97}{4})[/tex]. Depending upon what is meant by stating the max value, we may only need to state the k value (which is the same as the y coordinate, which is an up or down thing as opposed to the x value which is a side to side thing). The domain is all real numbers, as is the case for all x-squared parabolas, and the range is
R = {y | y ≤ 97/4}
I can't see your choices so match them up from these answers to the ones in the list of choices.
find the volume of the prism
Answer:
840 cm^3
Step-by-step explanation:
Volume = 8x6 (15-5) + 5 x 12 x 6
= 48 x 10 + 60 x 6
= 480 + 360
= 840
Answered by Gauthmath
may i have some help with 9? thanks :)
#9. C
A negative sign on the outside of the function indicates a reflection in the y-axis.
A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.
Hope this helps!
5x + 4 < X-5, when X belongs to Z
Answer:
Step-by-step explanation:
5x+4<x-5
5x-x<-5-4
4x<-9
x<-9/4
x=(-∞,...,-4,-3]
Answer:
Step-by-step explanation:
5X + 4 < X - 5
5x - x < -5-4
4x<-1
4x/4 > -1/4
x>-1/4
Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis
Answer:
D
Step-by-step explanation:
Got it from the person above me
T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5
Answer:
[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]
the coefficient of x in -7xy is a. -7 b.xy c.7y d. -7xy
Answer:
c. -7y
hope it is helpful
rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)
Answer:
10
Step-by-step explanation:
not sure please verify
asap please help! and explain how you got the answer!
Solve the formula A = lw for /
Answer:
A/w = l
Step-by-step explanation:
A = lw
Divide each side by w
A/w = lw/w
A/w = l
Can someone help with this question and also give an explanation? I will give brainlest
What is the solution to the system of equations graphed below? PLSSS HELP
Answer:
C (-2,0)
Step-by-step explanation:
Find the point where they intersect. It's (-2,0) on the graph
Answer:
C
Step-by-step explanation:
Looking at the graph, the solution is (-2, 0).
This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).
Another way to see this is by plugging in these coordinates into the system of equations:
0 = -2(-2) - 4
0 = 4 - 4
0 = 0
0 = -2 + 2
0 = 0
These are both correct, once again proving the solution is (-2, 0).
8x - 12
6x + 8
x = [?]
Answer:
x = 10
Step-by-step explanation:
8x-12 = 6x+ 8
or, 8x -6x = 8 + 12
or, 2x = 20
or, x = 20/2
so, x = 10
Answer:
10
there is a problem with the question...
IF it was : 8x - 12 = 6x + 8
then the answer would be: 2x = 20 .... x = 10
Step-by-step explanation:
The tallest building in Mathville is 12,943 feet high. The second tallest
building is 9,748 feet high. Would you need to re-group to find the
dilterence in their heights?
Answer:
I think Yes
Step-by-step explanation:
to know An aggressive race to earn the world's tallest building title continues, while at the same time, cities are constructing higher buildings in greater ...
Answer:
Step-by-step explanation:
The world's tallest man-made structure is the 829.8-metre-tall (2,722 ft) Burj Khalifa in Dubai (of the United Arab Emirates). The building gained the official title of "tallest building in the world" and the tallest self-supported structure at its opening on January 9, 2010
From the given figures, find the length of unknowns sides of Pythagorean theorem. (In solution)
Answer:
61cm
Step-by-step explanation:
A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .
Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.
[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]
As we can see that here ,
Base = 11cm
Perpendicular = 60cm.
[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]
Substitute the respective values ,
[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]
Simplifying ,
[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]
Add the numbers on RHS ,
[tex]\rm\implies h^2= 3721 [/tex]
Take squareroot on both sides ,
[tex]\rm\implies h =\sqrt{61\times 61}[/tex]
Simplify the squareroot ,
[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]
Hence the hypontenuse of the triangle is 61cm .
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
I don’t understand what A is trying to ask please could someone help me? Thank you!
You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.
Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.
Going from f(x) to -f(x) is the y-axis reflection part
Going from -f(x) to -f(x-4) will shift the line 4 units to the right.
Answer: g(x) = -f(x-4)Find the angle of depression from point A to point C
Answer:
24 degrees
Step-by-step explanation:
90-66=24
Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you
Answer:
He Saved 18.664%
Step-by-step explanation:
Well first we need to find the total of the original price of the items he got
then we can solve for how much (in percentage) he saved
We know the original price of the pant as € 34.50 because 5+29.50=34.50
Now lets find out the original price of the shirt
The shirt's original price can be found by using this equation
x * .75 = 17
17/ .75 = x
22.67 = x
Now since we know the prices of these two items lets add them together
34.50 + 22.67 = 57.17
He actually spent
29.50 + 17 = 46.5
Now what percentage of 57.17 is 46.5?
We can use 46.5/57.17 = 0.81336
.81336 *100 = 81.336%
100-81.336 = 18.664
18.664% was saved
In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves
Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number
Answer:
See answers below
Step-by-step explanation:
For the expression
The sum of two numbers is 25. The first number is 37 more than 2 times the second number
Let the two numbers be x and y
If the sum is 25, then;
x + y = 25 .... 1
37 more than 2 times the second the number is expressed as;
37+2y
If the first number is 37 more than 2 times the second number, then;
x = 37 + 2y
x - 2y = 37 ...2
This shows that the simultaneous equation that fits the expressions are;
x - 2y = 37
x + y = 25
For the expression
A child has a piggy bank full of $1 and $2 coins totaling $37. There are 25 more $1 coins than there are $2 coins.
Let x be the $1 coins
Let y be the $2 coins
If a child has a piggy bank full of $1 and $2 coins totaling $37, then;
x + 2y = 37 ... 1
Also, if there are 25 more $1 coins than there are $2 coins, then;
x = 25 + y
x - y = 25 ...2
The equivalent expressions for the statement will be;
x + 2y = 37
x - y = 25
This hence leaves us with the last;
An exam that is worth 37 marks contain 25 questions. The questions are either worth 1 mark or 2 marks. The resulting simultaneous equation will be;
x + 2y = 37
x + y = 25
Help me out plz it’s 14
Answer:
The answer is 216
Step-by-step explanation:
one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work
Answer:
5 + 20 + 6
Step-by-step explanation:
that's how you get
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648
find the value of the variable for 5, 6
Answer:
Step-by-step explanation:
for question 5 )
we know that x-5 = 6 because I'm pretty sure outside of the question we are told that the rectangles are similar and therefore, we can say the above
x-5 = 6
add 5 to both side
x = 11
for question 6)
30 is [tex]\frac{5}{6}[/tex] of 36, so use that on the remaining given side
[tex]\frac{5}{6}[/tex] * 15 = 12.5
then thats what the other side of the bigger shape is
12.5 = x + 6
minus 6 from both sides
6.5 = x
by the way, notice that they have used a variable "x" for both 5 & 6 which is named the same but has a different value in each problem. X is the name of the variable for each problem, but doesn't have any meaning once outside of each of the problems. It's just confusing to use the same named variable at times. something like xy and xz , might have been better names. anyway :)
Can someone help me out, please? Its really important
Answer:
3x^4+8x^3+9x^2+2x
Renting snow skis costs $15 per hour plus a $10 usage fee. Create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented. Graph your step function from t = 0 hours to t= 10 hours. Then use your model to determine the cost for the snow skis if you were skiing for 4.5 hours.
Answer:
The cost for the snow skis for 4.5 hours is $ 77.5.
Step-by-step explanation:
Since renting snow skis costs $ 15 per hour plus a $ 10 usage fee, to create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented and determine the cost for the snow skis if you were skiing for 4.5 hours the following calculation must be performed:
10 + (15X) = Cost per hour
10 + 15 x 4.5 = X
10 + 67.5 = X
77.5 = X
Therefore, the cost for the snow skis for 4.5 hours is $ 77.5.
Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?
Answer:
2.6
Step-by-step explanation:
2.5÷65=2.6
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
What is … equal to?
9514 1404 393
Answer:
528
Step-by-step explanation:
The sum can be decomposed into parts that may be easier to figure.
[tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]
