Answer:
(2,4)Step-by-step explanation:
The given function is
[tex]y=5x^{2} -20x+24[/tex]
Where [tex]a=5[/tex], [tex]b=-20[/tex] and [tex]c=24[/tex].
The vertex is at [tex](h,k)[/tex], which is defined as [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex]. So, replacing values, we have
[tex]h=-\frac{-20}{2(5)}=\frac{20}{10}=2[/tex]
Then, [tex]k=f(2)=5(2)^{2} -20(2)+24=5(4)-40+24=20-40+24=4[/tex]
So, the vertex is at [tex]V(2,4)[/tex].
Remember that the minium or maximum value of a quadratic function is defined by its vertex. In this case, it represents a minimum at (2,4).
Jakob was asked to write an equation and solve this problem. Max saved enough money to buy three tickets to a baseball game. If each ticket costs $18.75, how much money did Max save? Jakob’s work is shown below.
Answer:
$56.25
Step-by-step explanation:
We know that Max has just enough money to buy 3 tickets that each cost $18.75, so let's write the expression:
18.75 * 3
We just solve this by multiplication:
18.75 * 3 = $56.25
Max saved $56.25.
Answer:
$56.25
Step-by-step explanation:
His savings were equal to the cost of 3 tickets, therefore
Savings = 3 × 18.75
Savings = 56.25
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will giver brainliest, thanks and points!!!!
Drag each equation to the correct location on the table.
Classify the quadratic equations based on how many solutions they have.
Answer:
See below
Step-by-step explanation:
Quadratic equations with one solution are:
[tex] (x+2)^2 = 0, \:\: (2x-8)^2 = 0[/tex]
Quadratic equations with two solutions are:
[tex] (2x-11)^2 = 1 [/tex]
Quadratic equations with no solution are:
[tex] (x+2)^2 = - 4, \:\: x^2 + 6 = - 3[/tex]
Answer: EDMENTUM + PLATO
Step-by-step explanation:
Which expression finds the measure of an angle that is coterminal with a 126° angle?
Answer:
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Step-by-step explanation:
Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:
coterminal angle = 126º + 360º = 486º
coterminal angle = 126º - 360º = -234º
Therefore the expression that finds the coterminal angles is:
[tex]coterminal = 126\º \pm 360[/tex]
Answer:
126° + (720n)°, for any integer n or D on edge :)
Step-by-step explanation:
Because me big brain
Find m∠ABD
picture is attached
Answer:
DC = DA Given
DB = BD Reflexive property
ΔDCB ≅ ΔDAB LH
∠DBC = ∠ABD = 20°
Hope this helps!
What do u add to 5 4/9 to make 8
Answer:
erm
Step-by-step explanation:
2 5/9
Answer:
2 5/9
Step-by-step explanation:
8-5 4/9=2 5/9
Suppose a raptor center has 12 great horned owls and 14 barn owls. If an owl is selected at random, what is the probability that a barn owl is selected? Find the closest percent.
Answer:
7/13 or 54% or about 0.54
Step-by-step explanation:
Which expression is equivalent to 2 × 2 × 2?
Answer:
2 to the power of 3
Step-by-step explanation:
Which of the following tables represents the equation y=2x-1
Answer:
There are no tables, but... I made a quick graph.
Step-by-step explanation:
y=2x-1 means that you start at (0,-1), one down from the origin (0,0). From there, you go up 2 and right one (1, 2), as well as down 2 and left 1 (-1, -2), since the slope is 2 (or [tex]\frac{2}{1\\}[/tex]). The lines continues in both directions, of course.
The table for the equation is y = 2x - 1
x y
0 -1
1 1
2 3
How to determine the tableTo determine which table represents the equation y = 2x - 1, we substitute the values of x into the equation and check if the resulting y values match those given in the table.
Substitute the values 0, 1, and 2 into the equation y = 2x - 1 and calculate the corresponding y-values:
For x = 0:
y = 2(0) - 1
y = 0 - 1
y = -1
For x = 1:
y = 2(1) - 1
y = 2 - 1
y = 1
For x = 2:
y = 2(2) - 1
y = 4 - 1
y = 3
The corresponding y-values for x = 0, 1, and 2 are -1, 1, and 3, respectively.
Learn more about tables at
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Celia drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Celia drink altogether? Write your answer as a mixed number.
Answer:
23/21 liters
Step-by-step explanation:
Celia drank
Before going jogging=2/3
After jogging=3/7
Total amount of water drank by Celia=2/3+3/7
L.C.M of the denominators 3 and 7 is 21
=14+9/21
=23/21
=1 2/21 liters
Answer: 23/21
Step-by-step explanation:
Litre of Water drank before jogging = 2/3
Litre of water drank after jogging = 3/7
The total amount of water drank altogether ;
2/3 + 3/7
The lowest common factor of 3 and 7 = 21
= (14 + 9)/21
= 23/21 litres
= 1 2/21 litres [1 whole number 2/21]
If you borrow $3,000 on an 8% discounted loan for 9 months, how much will you
actually receive?
2820
Step-by-step explanation:
Last question: What equation represents three less than five times a number is twelve?
A. 3 - 5x = 12
B. 5x - 3 = 12
C. 5(3 - x) = 12
D. 5(x - 3) = 12
Answer:
B, 5x - 3 = 12
Step-by-step explanation:
3 less means subtracting, it's going to be -3.
It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.
3 less means your subtracting from something, which would make it 5x - 3.
Finally, they state that it equals 12, making the equation 5x - 3 = 12.
Can someone help me with this
Answer:
Rectangle. length x width = area
10x4=40
triangle. base x height / 2 = area
3x4=12/2=6
40+6= a total of 46 square meters
Step-by-step explanation:
f(x) = 4^x-1; find f(3)
Answer:
f(3) = 63
Step-by-step explanation:
f(x) = 4^x-1;
Let x =3
f(3) = 4^3 -1
= 64-1
=63
Answer:
f(3)=16
Step-by-step explanation:
This question asks us to find f(3). We have to find what f(x), or y is, when x is equal to 3.
f(x)=4^x-1
Substitute 3 in for x.
f(3)=4^3-1
First, subtract what is in the exponents.
f(3)=4^2
4^2 is the same as multiplying 4, 2 times.
4^2=4*4=16
f(3)=16
not good with angles PLEASE HELP due very soon
Answer:
180 - 62 - 57 = 61
∠BAD = 180 - 61
∠BAD = 119°
Step-by-step explanation:
100 points. Easy question.
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer: 1/4 full.
Step-by-step explanation:
The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.
There is currently 3/4 of the tank remaining.
To find 2/3 of 3/4, you can multiply the fractions together.
Do this by multiplying both numerators and both denominators:
[tex]\frac{2}{3} *\frac{3}{4} = \frac{2*3}{3*4} = \frac{6}{12}[/tex]
Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).
3/4 - 2/4 = 1/4
There will be 1/4 of the tank left.
Answer:
1/4
Step-by-step explanation:
We have 3/4 of a tank
We will use 2/3 of the gas in the tank
See the diagram That will leave us 1/4
Mathmatically
3/4*2/3 = 2/4 =1/2 this is the amount that is used
Subtract this from the amount in the tank
3/4 -1/2
3/4 -2/4 = 1/4
This is the amount that is left in the tank
A rectangular sign measures 8 m by 6.5 m. One litre of paint covers 14 square meters. How many litres of paint are needed to paint the sign with 2 coats of paint? (Answer to 1 decimal place)
Answer:
7.4
Step-by-step explanation:
find the area of rectangular sign8times6.5)=52,take if 1l=14m^2 what about 52 then multiply by 2what’s the answer to this math problem?plz answer
Answer:
B
Step-by-step explanation:
Graph B represents a linear function.
Notice that graph D also shows a line, but it is not the graph of a function, since it doesn't pass the vertical line test for functions.
Graph A shows a quadratic function, and graph C shows likely an exponential function. It is graph B the one that is linear, and a function as well.
Answer: It is B.
Step-by-step explanation:
A is a quadratic function
B is a linear function because it is a straight line and every input has exactly one output.
C is a is not straight
D failed the vertical line test.
Find the remainder when x square-5x+3 is divided by x-3.
a light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain.
Answer:
No, 4% is 620 light bulbs
Step-by-step explanation:
No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs
Pleaseeeeee helpppppppp i will mark brainlest
Answer:
a. x = 61 degrees.
Step-by-step explanation:
By the External angle of a Triangle Theorem:
116 = 55 + x
x = 116 - 55
x = 61 degrees.
Answer:
a) 61
Step-by-step explanation:
The classic way to do this is to subtract 116 from 180, then adding that result to 55 and subtracting this second result from 180.
But another way that I have discovered is to subtract 55 from 116. You will get the same answer of 61.
Can somebody give me a quick answer will mark brainliest.
Answer:
The value of [tex]x[/tex] :
[tex]x = 16[/tex]
Step-by-step explanation:
-To find the value of x, you need to use [tex]3x + 18[/tex] and [tex]66\textdegree[/tex] written as in equation like this:
[tex]3x + 18 = 66[/tex]
-Then, you solve for it:
[tex]3x + 18 = 66[/tex]
[tex]3x + 18 -18 = 66 -18[/tex]
[tex]3x = 48[/tex]
[tex]\frac{3x}{3} = \frac{48}{3}[/tex]
[tex]x = 16[/tex]
So, therefore the final answer is [tex]x = 16[/tex].
What is the volume of the cylinder? Use 3.14 for piπ.
hight = 11 cm
Radius = 4 cm
Answer:
552.64 cubic centimeters
Step-by-step explanation:
The volume of a cylinder is:
[tex]\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64[/tex]
Hope this helps!
So the right answer is 552.64cm^3
look at the attached picture
Hope it will help you
Good luck on your assignment
A.reflection
B. Glided reflection
C. Rotation
Answer:
A
Step-by-step explanation:
The shape was reflected across the purple line
Answer:
Reflection
Step-by-step explanation:
How much wood does it take to make a storage box that is
4 feet square on the bottom and 3 feet high, with a lid? Do
not count overlap.
A.80 ft
B.80 ft2
C.48 ft3
D.48 ft2
Each interior angle of a regular polygon is 140°.Find the number of sides of the polygon.
Answer :
9 sides
Explanation:
Step 1
Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Step 2
Method 2: Since the exterior angle is 140°
The sum of the interior angles = (2n - 4) × right angles.
So 140n =(2n - 4) ×right angles, or we can also say
140n =(2n - 4) × 90
140n = 180n - 360
40n = 360
Divide both sides of the equation by 40
n = 9 sides.
n = 9 sides.Hence the number of sides is 9 sides.
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
picture is here
Answer:
Step-by-step explanation:
the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.
the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height
v = length x width x height
2700 = (15)(15)h
2700/225 = h
the height is 12
A 2-column table with 3 rows. Column 1 is labeled Item with entries salad, soup, drink. Column 2 is labeled Cost with entries 7 dollars, 3 dollars, 2 dollars and 50 cents.
The table shows the cost of several items at a restaurant including tax.
Pia ordered a salad and a drink. She paid with a $20 bill. How much change should she receive?
$
Answer:
10.50
Step-by-step explanation:
Answer:
C and D on E2020
Step-by-step explanation:
the sum of four consecutive integers is 34. find the least of the numbers
Answer:
7
Step-by-step
n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer
n+(n+1)+(n+2)+(n+3)=34
4n+6=34
4n=28
n=7 ANSWER: The smallest integer is 7
CHECK:
7+8+9+10=34
34=34
the least of the four consecutive integers is 7.
Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.
According to the given information, the sum of these four consecutive integers is 34:
x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34
Simplifying the equation:
4 x + 6 = 34
Subtracting 6 from both sides:
4 x = 28
Dividing both sides by 4:
x = 7
The four numbers are 7, 8, 9, 10
Therefore, the least of the four consecutive integers is 7.
Learn more about consecutive integers here
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A soccer team orders 15 wooden pedestals to mount their brass trophies on. The design of each pedestal is shown below. The team is charged $0.12 per cubic inch of wood. What is the total cost of the order, rounded to the nearest dollar?
Answer:
$1193
Step-by-step explanation:
First we need to find the volume of one pedestal, that has a cylindrical part and a cubic part.
The volume of the cylindrical part is:
V1 = pi * r^2 * h
The radius is half the diameter, so r = 8/2 = 4 in. So the volume is:
V1 = pi * 4^2 * 3 = 48pi in3
The volume of the cubic part is:
V2 = side^3 = 8^3 = 512 in3
So the total volume of the pedestal is:
V = V1 + V2 = 512 + 48pi in3
If we want 15 pedestals, we have a total volume of:
15 * V = 15 * (512 + 48pi) = 9941.9467 in3
As each cubic inch costs $0.12, we just need to multiply the volume by the price to find the total cost:
Cost = 9941.9467 * 0.12 = $1193.03
Rounding to the nearest dollar, we have a cost of $1193
help me with this for brainitest
Answer:
The top two are 3 and 4.
The bottom two are both 6.
Step-by-step explanation:
You see how the top one is a 7, you divide it into 2 in any way.
Like how I did 3 and 4 which would equal to 7, it can also be 6 and 1 etc..
And for the bottom one it doesn't change.
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)