Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.
9514 1404 393
Answer:
5(x -4)² -20turning point = (4, -20)Step-by-step explanation:
It can work well to factor the leading coefficient from the x-terms.
5(x² -8x) +60
Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.
5(x² -8x +16) +60 -(5)(16)
5(x -4)² -20 . . . . write as a square, simplify the added constant
The vertex form is ...
5(x -4)² -20
It shows you the vertex is (4, -20). This is the turning point.
_____
Vertex form is a(x -h)² +k, where (h, k) is the vertex.
at the high school 1/3 of the students play a instrument,of the students who play a instrument 2/3 play a string instrument,what fraction of the students at the high school play a string instrument
help plsss!!!
For which interval is the function constant?
(2, 6)
(6, ∞)
(−∞, 0)
(0, 2)
9514 1404 393
Answer:
(a) (2, 6)
Step-by-step explanation:
The function is constant where its graph is horizontal. That portion of the graph lies between x=2 and x=6. In interval notation, the function is constant in the interval (2, 6).
FIND THE AREA (LEAVE EXPLANATION)
Answer:
20 yd²
Step-by-step explanation:
lets do the big one
4 x (6-2) = 4 x 4 = 16 yd²
2 x (4-2) = 2x2 = 4 yd²
16 yd² + 4 yd² = 20 yd²
Another way
Find the area of the figure if it was a rectangle
4 x 6 = 24 yd²
then subtract 2 x 2 = 24 yd² - 4 yd² = 20 yd²
Answer:
20
Step-by-step explanation:
Solve the area of the squares separately, then add. the small square has a length and width of 2, and 2x2 is 4, so that area is 4. the bigger one has a length and width of 4, and 4x4 is 16, and then we add the two values together, and 16+4 is 20, so the total area is 20.
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
Using the expression 3x + 5, How many terms are there?
Please help me answer this
Answer:
Your answer would have to be Graph A
Step-by-step explanation:
Because it's properly set up
Ten students each attempted 10 free throws. This list shows how many free throws each student made. 8 5 6 6 4 9 7 6 5 9 What is the median number of free throws made?
Answer:
six 6 is the median number i think
Step-by-step explanation:
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Solve the equation. -3x+2x=8
Answer:
= − 8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
7a + b - 12 wich is the coefficient?
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
60?
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
180 - (60 + 60) = x
180 - 120 = x
60 = x
since it is an equilateral triangle (meaning all angles are the same), you can also take 180 and divide it by 3:
180 ÷ 3 = 60
x = 60
n a recent survey, 55 out of 125 adults stated that they slept late on Saturday mornings. What percent of adults surveyed slept late on Saturday mornings?
Answer:
44%
Step-by-step explanation:
55 out of 125 just means we divide 55 by 125.
[tex]\frac{55}{125} = .44[/tex]
[tex].44 = 44%[/tex]%
.44 can be converted to 44% by moving the decimals place.
Write the ratio as a fraction in simplest form.
63 : 28
The ratio as a fraction in simplest form is
.
Answer:Thus, 9/4 is the simplified fraction for 63/28 by using the GCD or HCF method. Thus, 9/4 is the simplified fraction for 63/28 by using the prime factorization method. 94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).
The given ratio 63:28 can be expressed as the simplified fraction 9/4.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The given ratio is following as:
63:28
To express this ratio as a fraction in simplest form, we can use the method of finding the greatest common divisor (GCD) or highest common factor (HCF) between the numerator and denominator.
The GCD/HCF of 63 and 28 is 7.
We can divide both the numerator and denominator by 7 to simplify the fraction:
⇒ (63 ÷ 7) / (28 ÷ 7) = 9/4
Therefore, the ratio 63:28 can be expressed as the simplified fraction 9/4.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ2
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
Need help with answers
The measure of an angle is 22º. What is the measure of its supplementary angle?
Answer:
158°
Step-by-step explanation:
supplementary means they add up to 180° degrees so 158°+ 22° is 180°.
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
Find the values of x and y
Evaluate when m = 6, n = 4, d = 5.
4d²-2m+ mn/3
Answer:
96
Step-by-step explanation:
4 x 25 - 2 x 6 + 6 x 4 divided by 3
4 x 25 - 12 + 8
100 - 12 + 8
96
helpppppppppp plzzzzzzz due in 20 min
Answer:
A. [tex]3<\sqrt{15} <4[/tex]
Step-by-step explanation:
First we need to know what [tex]\sqrt{15}[/tex] equals.
It equals around 3.87, which is more than 3 and less than 4.
Answer: It might be "A" i dont know.
I NEED HELP ASAP 50 POINTS!!!
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x + 7 – 4x^3
Answer:
Step-by-step explanation:
Standard form: -4x³ + x + 7
Name of the polynomial:
Based on number of terms: 3 terms are there.
Trinomial
Based on degree:
Degree of the polynomial is 3
Cubic polynomial
Which inequalities would have an open circle when graphed? Check all that apply.
PQ is tangent to the circle at C. In the circle the measure of arc BC=85. Find the measure of angle BCP
Answer:
85
Step-by-step explanation:
2/3(x - 6)=6 what is the value of x?
Answer:
15
Step-by-step explanation:
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6
2 quarts of paint equally into 6 containers how much paint in quarts into each container written as a fraction
Answer:
0.333 or 1/3
Step-by-step explanation:
2/6 = 0.333 = 1/3
The total value of nickels and dimes in a coin bank is $5.15. There are 8 more dimes than nickels in the bank. How many dimes are in the bank?
Compare the unit rates to find which is the better value.
A. 24 cans for $21.36
B. 12 cans for $10.56
C. 20 cans for $17.20
D. 16 cans for $13.60 m
Answer:
The 16 cans for 13.60
Step-by-step explanation:
21.36 ÷ 24 = 0.89
10.56 ÷ 12 = 0.88
17.20 ÷ 20 = 0.86
13.60 ÷ 16 = 0.85
The 16 cans for 13.60 is the best buy, just remember, cost ÷ amount!!
Answer:
i think the awnser wold be 16 cans for 13.60$
Step-by-step explanation:
if i am wrong i am truly sorry!
you can buy 16 cans for 13.60 and if you need more you would be saving a lot of money for 32 cans for 17.20.