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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What is the constant of proportionality in the equation y=0.72x
Answer:
Constant: 0.72 = 18 : 25
Step-by-step explanation:
None
B right or am i wrong ?
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per hour. Lillian and Jacob worked a combined 13 hours and ironed 295 shirts. Determine the number of hours Lillian worked and the number of hours Jacob worked.
Answer:
x=7 y=6
Step-by-step explanation:
x = 7 hous worked by Lillian
y = 6 hours worked by Jacob
Step-by-step explanation:
Let call " x " and " y " numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:
They both combined a total of 13 hours, therefore
x + y = 13 ⇒ y = 13 - x
And the number of ironed shirts was 295 then we have
25*x + 20*y = 295
We need to solve that system of equations for x and y then
25*x + 20 * ( 13 - x ) = 295
25*x + 260 - 20*x = 295
5*x = 295 - 260
5*x = 35
x = 35/5
x = 7
And y = 13 - x ⇒ y = 13 - 7
y = 6
I need help matching these
Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?
Concept: Domain & Range
The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
Write the equation of the line given the following: Passes through (-2, 7) and is parallel to the graph y=-8x-2.
Answer:
y = -8x+9
Step-by-step explanation:
7 = -8(-2) - b
7 = 16 - b
-9 = -b
b = 9
y = -8x+9
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answer:C 2
Step-by-step explanation:
Please help and give details :)
7x+4y-28=0 is the answer
For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?
Answer:
HF
Step-by-step explanation:
Answer: Side HF.
Step-by-step explanation: The corresponding segment to EF in similar triangle HFG is HF, you can confirm it by folding the triangle.
FIND THE EQUATION OF THE QUADRATIC FUNCTION GIVEN ITS ZEROS. 2.)11/3,-11/3
Answer:
they will have the same aboulsute value.
Step-by-step explanation:
because the abouslute value can not be negitive
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
11. Write an equation in slope-intercept form that passes through (2,3) and 1 (1,5). *
Answer:13/6/7
Step-by-step explanation:
A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
9(p-4)=-189(p−4)=−18
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
I need help please!!
Answer:
The domain is x ≥ − 2 and the range is AllRealNumbers
Step-by-step explanation:
Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2. The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.
11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
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-2/3h-4=4/3
a. -3
b.-8
c.3
d.8
Answer:
its b
Step-by-step explanation:
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Please help
I believe it is 7 kids who like cats.
1. A right triangle is shown.
25 cm
7 cm
Based on this information, what is the length of the base of this triangle?
HELP PLS I BEG YOU
Answer:
24 is the answer
Step-by-step explanation:
answer is 24 for base
need help asap
hsjshsuehdue
i still need help im the highest in class but need help
Answer:
A 16%
Step-by-step explanation:
What is 180 pi divided by 420 pi simplified?
Answer:
3/7
Step-by-step explanation:
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.
The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer
Answer:
Georges drawing is larger.
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.
From the given question, both scales are enlarged scale. But,
the scale from the actual triangle to the drawing = 30:1
This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.
Georges' scale = 10:1
This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.
Therefore, Georges drawing is larger.
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
how do you solve 2 - 2n = 3n + 17
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.