If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
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pls helppppppppppppp
Answer:
B is the answer
Step-by-step explanation:
Part A) 8*25=200 less 2x15= $170
Part B 3*25 = $75 less 6x15= $90- Total loss $15 (75-90)
etc
The price of a technology stock has dropped to $9.63 today. Yesterday's price was 89.76. Find the percentage decrease. Round your answer to the nearest
tenth of a percent.
Answer:
1.33%
Step-by-step explanation:
[tex]Percentage\ change=(\frac{9.76-9.63}{9.76})100\\\\Percentage\ change=(\frac{0.13}{9.76})100\\\\Percentage\ change=1.33\\[/tex]
So the percentage decrease was about 1.33%
THIS IS VERY CONFUSING PLEASE HELP BRAINLIEST IF CORRECT 60 POINTS DONT ANSWER IF YOU DONT KNOW THE ANSWER OR REPORTED PLEASE DO NOT
which statement is correct?
A.29 > | -29 |
B.| -22 | 22
D. | -29 | < | 0 |
Answer:
see below
Step-by-step explanation:
A.29 > | -29 |
Absolute value means take the non negative value
A.29 > 29
This is not true
B.| -22 | 22
Absolute value means take the non negative value
22 You do not have an inequality so we cannot solve this
D. | -29 | < | 0 |
Absolute value means take the non negative value
29 < 0
This is not true
Since A and D are not true, B must be true
What is unit rate of 9 cups and 3 batches
Answer:
3 cups per batch
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
What is 9 divided by 3.... 3 ok so that is your answer. Hope this helped you!! Give brainliest..
If the 3 cans cost 0.78 how much will 2 cans cost
Answer:
.52
Step-by-step explanation:
math ting
Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Answer:
Step-by-step explanation:
y=0.860x17+3.302
foot is 17.992 inches long
Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.
Answer: 17.922
Step-by-step explanation:
A spinner has five sections ( a,b,c,d,e,) the spinner is spun 84 times what is the experimental property landing on a round to the nearest percent
Answer:
17%
Step-by-step explanation:
If 12 50.7 Fl. Oz. bottles cost $84 how much does one bottle cost?
Answer:
$7
Step-by-step explanation:
84/12=7 each bottle is $7
A golfer hits a golf ball off a tee. A quadratic function models the height of the golf ball in the coordinate plane, with the origin representing the initial location of the golf ball. Which of the following features can be used to determine the height that the golf ball travels from its initial location to the point where the golf ball starts falling towards the ground? Select ALL that apply.
A
zeros
B
vertex
C
y-intercept
D
end behavior
Answer:
a zeros
Step-by-step explanation:
The height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, a golfer hits a ball off a tee. The height of the golf ball in the coordinate plane is represented by a quadratic function, with the origin being the golf ball's initial position.
The equations give the relation of height, time, and velocity in terms of the quadratic equation is,
h = -t² + vt + s,
Since s is the height in feet and v is the initial velocity in feet/second, one may determine the ball's maximum height.
After solving the equation and finding the values of zeroes gives the maximum height.
Thus, the height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
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In the diagram, EFG= OPQ complete the statement
An
art teacher makes a batch of green paint by mixing
4/5
cup yellow paint with 4/5
cup blue paint. If she mixes 11 batches, how many cups of green paint will she have?
Answer:
She will have 17 and 3/5 cups of green paint.
Step-by-step explanation:
1. Identify your key factors:
Yellow paint: 4/5
Blue paint: 4/5
Mixes: 11 batches.
2. Arrange and solve:
4/5 x 11/1 = 44/5 x 2/1 = 88/5
[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]
3. Simplify:
17 3/5, decimal 17.6
Answer:
A right 2 1 up
B the equivalent ratios
C the same
Step-by-step explanation:
table.
Write 2 times
Answer:2x1=2 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16 2x9=18 2x10=20 2x11=22 2x12=24
Step-by-step explanation:
Those are the basics, just add 2 and that's it
Answer:
Step-by-step explanation:
2 times table
1 x 2 = 2
2 x 2 = 4
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10
6 x 2 = 12
7 x 2 = 14
8 x 2 = 16
9 x 2 = 18
10 x 2 = 20
11 x 2 = 22
12 x 2 = 24
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:2 1/4
Step-by-step explanation: great job you found the answer. is this right?
The sums of n terms of two arithmetic progressions are in the ratio 5n+4: 9n+6. Find the ratio of their 18th terms.
Answer:
179:321
Step-by-step explanation:
If Sn is the sum of the first n term of a sequence, the ratio will be expressed as:
Sn/S'n = 5n+4/9n+6
The sum of nth term of a sequence is expressed as
Sn = n/2[2a+(n-1)d]
The expression becomes
{n/2[2a+(n-1)d]}/{n/2[2a+(n-1)d']} = 5n+4/9n+4
Open the bracket
a+(n-1/2)d/a+(n-1/2)d' = 5n+4/9n+4
Since the 18th tern is expressed as
T18 = a+(18-1)d
T18 = a+17d
The expression becomes
T18/T'18 = a+(n-1/2)d/a+(n-1/2)d'
a+17d/a'+17d' = a+(n-1/2)d/a+(n-1/2)d'
Compare and contrast to get n
On comparing both sides of the equation
17 = n-1/2
n-1 = 17×2
n-1 = 34
n = 34+1
n = 35
If the nth term is 5n+4
18th term will be 5(35)+4 = 179
If the nth term is 9n+6
18th term will be 9(35)+6= 321
Hence the ratio of their 18th term will be 179:321
Graph the line with the equation
y=1/2x-6
Answer:
Picture above
Step-by-step explanation:
This was created using Desmos, you can also use this to graph equations! It is online in a browser and a mobile app :)
Step-by-step explanation:
you go down 6 and put a dot there, and then you go up one and to the right 2, and put a dot there too. after, you just keep going up 1 right 2 and putting dots there, and you can also go down 1 to the left 2
That's it, I hope I helped! If I had a graph with me it would be way easier to explain, but I don't
simplify and express in a + bi form: (12 + 3i) - (3 - 1)
Answer:
10+3i
Step-by-step explanation:
Subtract 3 and 1 which is 2, Now the equation looks like this:
(12+3i)-(2)
Multiply the negative with 2:
12+3i-2
Subtract 12 and 2:
10+3i
Answer: 10+3i
Hope this helps!
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answer:
Huilan is 12 and Thomas is 6
Step-by-step explanation:
Answer:
thomas is 6 years old
Step-by-step explanation:
if he is 6. 6x2=12 +6 =18
10x -9y=-14
-5x+6y=16
Answer:
x=4 y=6
Step-by-step explanation:
cuanto es 100 chorizos más un choriszo
Answer:
No se
Step-by-step explanation:
Rewrite the expression without parentheses by using the Distributive Property p(q-r) VERY URGENT!
Step-by-step explanation:
p(q-r) = pq - pr
Hope it helps
please HELP MEEEEEEEEEEEEEEE
Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .
Answer:
88
Step-by-step explanation:
8-1=7
+3
18-8=10
+3
31-18=13
+3
47-31=16
+3
66-47 = 19
+3
x - 66 = 22
+66 +66
x= 88
½x -3 = 2 - 34x I need help can some one explain the steps and give me the answer please
Answer:
x=10/69
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 34x to both sides.
Step 3: Add 3 to both sides.
Step 4: Multiply both sides by 2/69.
if my math is correct
write 6 3/10 as a improper fraction
ASAPPPPP
Answer:
63/10
Step-by-step explanation:
Answer:
63/10
Step-by-step explanation:
6 3/10
see, from the denominator that means 10,
multiply to whole, then 10×6,
we got 60 right;
now add numerator 60+3 = 63
here we got improper fraction,
that is 63/10
Find the area of a circle having circumference 176 cm...Pls answer this question...
Answer:
area of circle = 2464 cm²
Step-by-step explanation:
circumference = 176 cm
formula of circumference = 2πr
2πr = 176 cm
2 × 22/7 × r = 176 cm
44/7 ×r = 176 cm
r = 176 ÷ (44/7)
r = 176 × 7/44
r = 28 cm
area of circle
= πr²
= 22/7 × 28²
= 22/7 × 784
= 2464 cm²
Which ratio is equivalent to 2:3? A 8:12 B 9:10 C 10:9 D 12:8
Answer:
A 8:12
Step-by-step explanation:
If you multiply 2 and 3 by 4 you get 8:12
Answer:
The correct answer is A
What is the type slope?
Please help
Answer:
its positive
Step-by-step explanation:
because the line going upward
Answer:
positive
Step-by-step explanation:
A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Group of answer choices
Damon drank 2 3 liter of water Monday before going jogging. He drank 3 7 liter of water after his jog. How much water did Damon drink altogether? Write your answer as a mixed number. Solve this problem on paper. Then, check your answer on Zearn. Damon drank liters of water altogether.
Answer:
1 2/21 liters
Step-by-step explanation:
Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?
Volume of water Damon drank before jogging = 2/3 liters
Volume of water Damon drank after jogging = 3/7 liters
Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters
= 2/3 + 3/7
= 14+9/21
= 23/21
= 1 2/21
Total volume of water Damon drank altogether = 1 2/21 liters