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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Which number represents 50% of 74?
35
37
38
39
Answer: 37!!!
Step-by-step explanation:
1. 50% equals .5 in decimal form.
When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.
2. The word of means multiply so we multiply .5 by 74.
3. We get 37!
hope this helped, brainliest plsss :))))
I was the first one!
Which is the value of the expression when x=-2 and y =-3
Answer:
-720
Step-by-step explanation:
10x^3y^2 If x = -2 and y = -3
10 * (-2^3) * (-3^2)
10 * (-8) * (9) = -720
Answer:
A.) -720
Step-by-step explanation:
10x^3y^2
10 times x^3 times y^2
x = -2
y = -3
10 times (-2)^3 times (-3)^2
-2^3 = -2 x -2 x -2 = -8
-3^2 = -3 x -3 = 9
-8 x 9 = -72
10 x -72 = -720
Can someone please help!!
Answer:
Step-by-step explanation:
the last one
algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.
1×10−1 N
1×10−2 N
1×10−5 N
1×10−6 N
Answer:
B
Step-by-step explanation:
If it’s right can you mark me brainliest ty
The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the metric unit of force,
10 kg⋅cm/s²
Since,
1 meter = 100 cm ⇒ 1 centimeter = 0.01meter
So,
10 kg⋅cm/s² = 10 kg (0.01)m/s²
10 kg⋅cm/s² = 10 × 0.01 kg m/s²
10 kg⋅cm/s² = 1×10−1 kg m/s²
Since,
kg m/s² = Newton (N)
So,
10 kg⋅cm/s² = 1×10−1 N
Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".
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what is 25% more than 6 feet
Answer:
7.5 I guess?
Step-by-step explanation:
??
Step-by-step explanation:
l dont understand this can you explain
Mary used one big bag of flour. She baked four loaves of bread. Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary began? Plz help!!!! I have 20 minutes left
Answer is 11.
Step-by-step explanation:
Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2
Maria makes the remaing 48 muffins of the flour left so,
One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2
Add both of them
9/2+13/2=11
The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?
A.
60%
B.
12.5%
C.
10%
D.
7.5%
Answer:
60%
Step-by-step explanation:
Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100
$19.99 - 12.5
------------------- times 100
12.5
Follow PEMDAS
7.49 / 12.5 = 0.5592 (100) = 59.92
Round to the nearest whole number. So about 60%
What is the slope of 7,-2 and -3,3
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
3-(-2)/ -3-7
5/-10
= -1/2
Randall graphed the equation y=-2x+3 as follows:
Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)
Answer:
C.
Step-by-step explanation:
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13) How do you know when to use the mean or median as the best measure of center?
Answer:
The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.
Step-by-step explanation:
hope this helps
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.
Answer:
2,3,4 are correett
Step-by-step explanation:
1,5,6 are wroongg
Answer: 2 3 4 are your answers
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
Step-by-step explanation:
Please help me with this .
Answer:
x=4
Step-by-step explanation:
It's a parallel line so the equation is
100+19x+4=180
19x=180-100-4
19x=76
x=76/19
x=4
Answer: x = 4
Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.
- 4. -4
19x = 76
/19. /19
X = 4
what is the lowest term of 27/45
Answer:
3/5
Step-by-step explanation:
[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answer:
the answer is (1,9)
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
Find the value of x
Answer: x= 108
Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.
Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.
Answer:
the answer will be 9 dollars
Explanation:
The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.
Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.
What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?
Answer:
the Compound interest is £1,543.90
Step-by-step explanation:
The computation of the compound interest is shown below:
As we know that
Compound interest is
Amount = Principal × (1 + rate of interest)^number of years
= £1,200 × (1 + 0.032)^8
= £1,200 × 1.286582318
= £1,543.90
hence, the Compound interest is £1,543.90
We simply applied the above formula so that the correct value could come
And, the same is to be considered
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
What is the least amount of additional money Sofia can spend to get the sushi they need?
Answer:
$
Step-by-step explanation:
I need help!! ASAP!!
Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
What is the value of X I’ll give brainlist please someone help me
Answer:
69.333 or 208/3
Whats the slope of (6,0) and (2,-2)
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!