find f(1/4)

if f(x)=4x^2-2/3x

please guys explain it to me I cant understand it ​

Answers

Answer 1

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


Related Questions

solve for the indicated variable A=r+rvf for v

Answers

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

YALL ANSWER ASAP PLEASE

Answers

The answer is here. You just multiply the fractions because of L • W

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

Answers

Answer:

$128

Step-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:

What is the solution set of the quadratic equation (4x-8)^2 = 64​

Answers

x = 4 or x = 0

Hope that helps!

_ - 72 = 62 - 53

Fill in the missing number

Answers

71-9=62 62-9=53 53-9=44 so let’s subtract 9 from our most current number.35. 35-9=26 the up coming number in your sequence is 26

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 ?

Answers

Answer:

1/6

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

Answers

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.

write the equation of a line

Answers

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.

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

Answers

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

Please help me!I kinda bad at math:(((

Answers

I can help a lil with math :)

2/9[9÷(7-5)]

what's the answer? ​

Answers

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.

Can y’all help me I don’t get it

Answers

Answer:

1. <

2. >

3. >

Hope this helped!

Answer:

1. <

2. >

3. >

Step-by-step explanation:

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)

Answers

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.

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?

Answers

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.

find the vertex of y=x^2-6x+1 A. ( 1 , 5 ) B. ( 4 , 1 ) C. ( 2 , -3 ) D. ( 3 , -8)

Answers

[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!

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):

Answers

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 difference between union set and universal set​

Answers

Answer:

Universal set is a set which contains all values

Union of Sets : The joining of two or more sets  .

Step-by-step explanation:

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?

Answers

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

Please help I don’t want to fail

Answers

Just divide x = 6.17

Q:Evaluate -3(-10)
Choices:
1) 13
2) -13
3) -30
4) 30​

Answers

Answer:

4. 30

Step-by-step explanation:

-3(-10)

=3×10

= 30

The answer is 30.

Just so you know in the future, here are some tips and tricks for multiplication.

1) If you are multiplying a positive and a positive, the answer is always gonna be positive
2) If you multiply a negative and a negative, the answers gonna be positive.
3) If you multiply a negative and a positive, the answers going to be negative.

Hope these help you in the future.

Order the numbers from least to greatest. 9 9/13, 9.72, 9 3/4, 9.74, 9 5/7

Answers

Answer: 9 9/13, 9 5/7, 9.72, 9 9.74, 9 3/4

What is the domain of the following relation?{(5,0),(-8,9),(4,-7),(7,-8)

Answers

The domain is just the x values.

Domain: -8,4,5,7

What is the answer to all these questions? I need help asap

Answers

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:

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

Answers

Answer:c.11

Step-by-step explanation:

What is 34 by divide 5780

Answers

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

What point he plot to show how far he runs in 8 minutes and 12 minutes?​

Answers

Answer:

4

Step-by-step explanation:

because you subtract it.

Find the value of each expression.
-5 -9 -13

Answers

Answer:

-27

Step-by-step explanation:

-5-9=-14

-14-13=-27

Estimate the product. 8.2 × 4.93 Select the best estimate. 32 40 320 400

Answers

Answer:

the answer is 40

hope i helped

Find the 5th term of (m + 2)^9

Answers

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

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.

Answers

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].

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