Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
Estimate the product. 8.2 × 4.93 Select the best estimate. 32 40 320 400
Answer:
the answer is 40
hope i helped
What is the solution set of the quadratic equation (4x-8)^2 = 64
x = 4 or x = 0
Hope that helps!
Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material
Answer:
Length = 63 feet
Step-by-step explanation:
concept used:
perimeter of rectangle = 2( length + width)
____________________________________________
Given that Jason has 144 feet of material and all is used in building fence.
It means that perimeter of fence is 144 feet.
2. Width of fence = 9 feet
let the length be x
perimeter of rectangle = 2( length + width)
then perimeter of fence will be = 2(9+x)
As given above perimeter of fence is 144 feet.
2(9+x) = 144
=> 9 + x = 144/2 = 72
=> x = 72 - 9 = 63
Length = 63 feet.
Answer:
21 yards
took the test :D
find the vertex of y=x^2-6x+1 A. ( 1 , 5 ) B. ( 4 , 1 ) C. ( 2 , -3 ) D. ( 3 , -8)
[tex]h=\frac{-b}{2a}[/tex]
[tex]k=f(h)[/tex]
[tex]h=\frac{6}{2}[/tex]
[tex]h=3[/tex]
[tex]k=f(3)[/tex]
[tex]f(3)=9-18+1[/tex]
[tex]f(3)=-8[/tex]
The vertex is [tex](3,-8)[/tex]
Hope this helps.
頑張って!
What point he plot to show how far he runs in 8 minutes and 12 minutes?
Answer:
4
Step-by-step explanation:
because you subtract it.
Find the 5th term of (m + 2)^9
Answer:
=2016x5
Step-by-step explanation:
(x+y)n=∞∑r=0~nCrxn−ryr is given by
Tr+1=~nCrxn−ryr.
Hence T5=T4+1=~9C4x9−4⋅24
=9!(9−4)!4!⋅x5⋅16
=2016x5
Please help me!I kinda bad at math:(((
Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than Teegan's? First, estimate the difference mentally and explain your reasoning. Then find the actual difference.
Answer:
Tim's bean sprout grow by more than [tex]\frac{5}{8} \text{ inches}[/tex].
Step-by-step explanation:
We are given that Tim's bean sprout grew 3 3/8 inches. Teegan's bean sprout grew 2 3/4 inches.
We have to find how many more inches did Tim's bean sprout grow than Teegan's.
Firstly, converting both the mixed fractions in improper fraction get;
Tim's bean sprout grew = [tex]3\frac{3}{8}[/tex] = [tex]\frac{27}{8} \text{ inches}[/tex]
Teegan's bean sprout grew = [tex]2\frac{3}{4}[/tex] = [tex]\frac{11}{4} \text{ inches}[/tex]
Since the denominator of both the fractions is not the same, so we can't compare them both as which is larger or smaller.
Tim's bean sprout grew = [tex]\frac{27\times 1}{8\times 1} = \frac{27}{8} \text{ inches}[/tex]
Teegan's bean sprout grew = [tex]\frac{11 \times 2}{4\times 2}=\frac{22}{8} \text{ inches}[/tex]
Now, we can clearly see that Tim's bean sprout grew more than Teegan's bean sprout.
So, Tim's bean sprout grow by more than = [tex]\frac{27}{8}- \frac{22}{8}[/tex] = [tex]\frac{5}{8} \text{ inches}[/tex]
Hence, Tim's bean sprout grow by more than [tex]\frac{5}{8} \text{ inches}[/tex].
the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price of 2 tons of gravel
Answer:
$128Step-by-step explanation:
This problem is on rate.
firstly we have to find the rate at which 1 ton is sold
given that 3/8 ton is sold for $24
hence 1 ton will be sold for X
cross multiply
X = 24/3/8
inverse the denominator and multiply the result with the numerator we have
X= 24*8/3
X= $64
Now having found out that 1 ton cost $64
2 tons will cost =64*2
= $128
Therefore at this rate two tons will cost $128
Answer:128
Step-by-step explanation:
Laura says that the distance between (4,-2) and (4,-7) in the coordinate plane is equal to |-2-(-7)|units Ryan say that the distance between (2,3) (-9,3) in the coordinate plane is equal to |2+9| units is either Laura or Ryan correct explain
Answer:
Both are correct.
Step-by-step explanation:
In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.
[tex]Distance=|-2-(-7)|=5\text{ units}[/tex]
So, Laura is correct.
In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.
[tex]Distance=|2-(-9)|=|2+9|=11\text{ units}[/tex]
So, Ryan is correct.
Hence, both are correct.
6) Suppose the length of your running shoe is 28.4 cm,
a) How many of your shoes would it take (heel to toe) to make 1 meter? (round to the nearest tenth)
b) How many shoes would it take to make 1 kilometer? (round to the nearest whole number)
Answer:
About 4.
Step-by-step explanation:
28.4 * 4 is equal to 113. 6, so about four shoes would be equal to a meter, since a meter is equal to 100cm.
6. Give the slope of each line. Also, state if the lines are parallel (yes or no).
Hint: rewrite to slope intercept form.
AB: 2y + 2x = 8 and CD: y + x = 2
Slope of line AB:
Slope of line CD:
Are the lines parallel (yes or no):
Step-by-step explanation:
Hey there!!
Let me simply clear you.
Given,
AB: 2y+2x =8.
Let's take the equation in slope intercept form.
2y = -2x +8
[tex]y = \frac{ - 2x}{2} + \frac{8}{2} [/tex]
[tex]y = - 1x + 4[/tex]
Comparing the equation with y= mx+c, we get;
Therefore, slope of AB is -1.
Now,
Again, the another equation is,
y + x = 2
y = -x+2
Comparing, the equation with y = mx + c.
Therefore, slope of CD = -1
For parallel lines, m1=m2.
slope of AB (m1) = -1
slope of CD(m2)= -1
As m1= m2 {True}.
Therefore, They are parallel to eachother.
Hope it helps...
What is the domain of the following relation?{(5,0),(-8,9),(4,-7),(7,-8)
The domain is just the x values.
Domain: -8,4,5,7
Can y’all help me I don’t get it
Answer:
1. <
2. >
3. >
Hope this helped!
Answer:
1. <
2. >
3. >
Step-by-step explanation:
_ - 72 = 62 - 53
Fill in the missing number
Jerry has 1/3 of a quart of ice cream left he is going to split the rest of the ice cream equally with his friend how much ice cream will each of them get ?
Answer:
1/6
Step-by-step explanation:
What is the answer to all these questions? I need help asap
Answer:
1) Slope= 2, y-intercept=4, equation: y=2x+4
2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60
Step-by-step explanation:
Slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
1. Plug in two sets of cordinates into the equation
(0,2) (2,8)
2. Solve, slope =2
3. Plug in one pair into the point slope formula
Point slope formula: [tex]y-y_1=slope(x-x_1)[/tex]
4. y-8=2(x-2)
5.y-8=2x-4
6. y=2x+4
Do the same for the other equation
Answer:
1: slope
2: y-intercept
1a: slope= 3
1b: 2
y=3x+2
2a: slope= -10
2b: 60
y= -10x+60
Step-by-step explanation:
YALL ANSWER ASAP PLEASE
in a fraction with a denominator of 15, which value could a numerator be to produce a repeating decimal???? A. 15 B. 9 C. 11 D. 12
Answer:c.11
Step-by-step explanation:
What is 34 by divide 5780
Answer: 170
Step-by-step explanation:
If you’re looking for 5780 divided by 34 it’s 170. But if you wanted 34 divided by 5780 it’s 0.005882.
Im pretty sure the answer you’re looking for is the first one XD
Just remember that you always divide the big number by the smaller one :).
I hope you found my answer helpful! If you did, give it a thanks. You can even give it a brainliest if you feel like it ;D
solve for the indicated variable A=r+rvf for v
Answer:
[tex]v = \frac{A - r}{rf}[/tex]
Step-by-step explanation:
Given
[tex]A = r + rvf[/tex]
Required
Solve for v
[tex]A = r + rvf[/tex]
Subtract r from both sides
[tex]A - r = r - r + rvf[/tex]
[tex]A - r = rvf[/tex]
Divide both sides by rf
[tex]\frac{A - r}{rf} = \frac{rvf}{rf}[/tex]
[tex]\frac{A - r}{rf} = v[/tex]
Reorder the expression
[tex]v = \frac{A - r}{rf}[/tex]
At this point, we;ve solved for v
Find the value of each expression.
-5 -9 -13
Answer:
-27
Step-by-step explanation:
-5-9=-14
-14-13=-27
Q:Evaluate -3(-10)
Choices:
1) 13
2) -13
3) -30
4) 30
Answer:
4. 30
Step-by-step explanation:
-3(-10)
=3×10
= 30
write the equation of a line
Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
[tex](y - 1) = m1(x - 3)[/tex]
It is the first equation.
Given, Another equation is:
[tex]y = \frac{2}{3} x + 1[/tex]
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
[tex](y - 1) = \frac{2}{3} (x - 3)[/tex]
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
[tex]y = \frac{2x - 6 + 3}{3} [/tex]
[tex]y = \frac{2}{3} x - 1[/tex]
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
Hope it helps.
Please help I don’t want to fail
Mr. rose takes $777.68 out of his bank account. The bank account has $10,364.45 left at the end of the day. How much money did Mr. rose bank account start with that day?
Answer: $11,142.13
Step-by-step explanation:
You add 777.68 to 10,364.45.
Answer:
11,142.13
Step-by-step explanation:
You add those 2 number
Order the numbers from least to greatest. 9 9/13, 9.72, 9 3/4, 9.74, 9 5/7
Answer: 9 9/13, 9 5/7, 9.72, 9 9.74, 9 3/4
2/9[9÷(7-5)]
what's the answer?
Answer:
1
Step-by-step explanation:
According to the order operations, you must first do what is in parenthesis. 7-5.
Then, do the exponents.
Then, do multiplication and devision.
Then addition and subtraction.
Therefore, the answer is 1.
what is the difference between union set and universal set
Answer:
Universal set is a set which contains all values
Union of Sets : The joining of two or more sets .
Step-by-step explanation:
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours will Tiana have to spend in class before she will have a total of 43 pages of notes in her notebook?
Answer:
42 Hours.
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.