simplify f (x)=5x^2-10x+6

Answers

Answer 1

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 5x + \frac{6}{5} [/tex]

[tex]f(x) = {x}^{2} - 5x + \frac{25}{4} - \frac{9}{5} [/tex]

f(x) =(x-5/2)^2-9/5


Related Questions

2. What is the correct expanded form for the number 75.92?
70 + 5 + 0.9 + 0.2
70 + 5 + 0.09 + 0.002
70 + 5 + 0.9 + 0.02
700 + 50 + 0.9 + 0.02

Answers

Answer

Option 3

Step-by-step explanation:

70 + 5 = 75

0.9 + 0.02 = 0.92

75 + 0.92 = 75.92

A study was conducted to investigate how the amount of time spent study can help predict the test scores on the content. The studying showed a positive strong linear association between these two variables. Here are the statistics:
Mean of study time: 2.4 hours
Standard Deviation of study time: 0.79 hours
Mean of test scores: 77 points
Standard Deviation of test scores: 7.7 points
a. Calculate the slope of the LSRL.

b. Calculate the y-intercept of the LSRL.

c. Write the equation of the LSRL in context.

Answers

Answer: go with your gutt btw C is always best option

Step-by-step explanation:

hope you got it correct

a triangle with angle measures of 45 45 and 90 is

Answers

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

The triangle with angle measures 45,45 and 90 Isosceles triangle

Need help with lcm (Least common multiple)​

Answers

Answer:

sure can help you shoot the question

Step-by-step explanation:

You can find the least common multiple of 2 numbers by using prime factorisation to find its index notation.

Example:

6=2×3

9=3^2

So to find the LCM of these to find the LCM of these numbers, you need to take the number with the higher index notation and the remaing factor and multiply them.

Example:

LCM(6,9)=2×3^2

=18

What is the decimal multiplier to increase by 58%?

Answers

The answer is 1.58 I think

Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?

Answers

Answer:

The approximate % increase was around 33%

Step-by-step explanation:

Divide 24 by 18 and you convert the decimal into a percent which is just multiplying it by 100

There was an increase of 33.33 percent in Miss Williamson‘s homeroom

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items.

Since Percentage increase in the number of students can be calculated as;

=((Final number-Initial number)/Initial Number)×100

where the Initial number of students=18 students

Final number of students=24 students

Now substituting;

((24-18)/18)×100

=(6/18)×100

=33.33% increase

Hence, there was an increase of 33.33%.

Learn more about percentages;

brainly.com/question/24159063

#SPJ6

Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1

Answers

They want to know the change in y. They have given the lines, soo count how many they went up or down.

Whatever you get, that the answer.

The y value of each point moved ___ units ____ and ____ as I moved the slider.

What is 1+1 I really need this answer

Answers

Answer:

Its 11

Step-by-step explanation:

Jk its 2. Bro learn addition. XD

Answer:

the answer would be...

e^iπ = -1

2^57,885,161 - 1 is the largest known Mersenne prime number

2^43,112,609 - 1 is the second largest known Mersenne prime number

the greatest common divisor of any two integers which are coprime is 1 so

gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1

tan(π/4) = 1

So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)

= (-1/1)^2 +1

= 1 + 1

^brainliest plz it took me awhile to type this XD^

let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?

Answers

Answer

a)no

Step-by-step explanation:

a)12-5(0)

=12 not 0

b)12-5(-1)

=17

c)12-5x=6

-5x=6-12

x=1.2

hope it helps:)

Evaluating the function, it is found that:

a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.

b) [tex]f(-1) = 17[/tex]

c) [tex]a = \frac{6}{5}[/tex]

The function given is:

[tex]f(x) = 12 - 5x[/tex]

Item a:

f(0) is given by:

[tex]f(0) = 12 - 5(0) = 12[/tex]

So it is not true, since [tex]f(0) = 12[/tex].

Item b:

[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]

Item c:

This is the value of x when f(x) = 6, thus:

[tex]12 - 5x = 6[/tex]

[tex]5x = 6[/tex]

[tex]x = \frac{6}{5}[/tex]

Thus:

[tex]a = \frac{6}{5}[/tex]

A similar problem is given at https://brainly.com/question/24231879

Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?

Answers

You do 6/4, so the answer should be: 1.5 hours!

PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out
his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).

Answers

Answer:

1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

2) [tex]y=4x+5[/tex]

3) [tex]y=-\frac{1}{4}x+4[/tex]

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]

So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

     Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]y=mx+b\\m=4\\b=5[/tex]

Now we just fill it in the formula...

[tex]y=4x+5[/tex]

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]m=-\frac{1}{4}\\b=4[/tex]

Now we just fill it in the formula...

[tex]y=-\frac{1}{4}x+4[/tex]

Tanner goes to his local butcher and he finds a turkey that he thinks is perfect! The butcher tells Tanner that the turkeys weighs 1723 pounds. If the price of the turkey is $1.36 per pound. How much will Tanner pay for the
turkey?

Answers

Answer:$2343.28 for the turkey

Step-by-step explanation:

1,723lbs*$1.36=$2,342.28

A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.

Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line has a regression equation of y = 25.36 x minus 0.23.

Assuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310?
11
12
13
14

Answers

Answer:

12

Step-by-step explanation:

got 100% right on edge 2020, hope this helped! <3

Answer:

its 12

Step-by-step explanation:

bc it is

Please help me I need a correct answer fast!!
The two figures in the diagram are congruent. Is one a reflection image, a translation image, or a rotation image of the other?

A. reflection image
B. translation image
C. rotation image

Answers

Answer:

c rotation

Step-by-step explanation:

Answer:

rotation image

Step-by-step explanation:

-24=5r+3r idk how to do it

Answers

Answer:

r = -3

Step-by-step explanation:

Add the like terms: 8r = -24

Isolate r by dividing each side by 8: r = -24/8

Simplify: r = -3

Hope this helps

Denise is 7 years Younger than our Misty is twice as old as Alma all together we have an age of 37 how old is Denise

Answers

Answer: 14

Step-by-step explanation: divide

Factor x2 − 2x + 3. (4 points)

Answers

Answer:

(x-3) times (x+1)

There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box? There is a lot of answers

Answers

Answer:

1200

Step-by-step explanation:

6×200=1200ans...

Answer:

60, 120, 180

Step-by-step explanation:

The lowest common multiple of 2, 3, 4, 5, and 6 is 60. The box could contain any multiple of 60 that is less than 200. 60 apples. ... The answer can be any number 1–199, if there are no preconditions about slicing up a 'remainder' apple to split amongst the kids.

A smart phone costs $149.99 before tax. The tax on the smart phone is 7%.

What is the total cost of the smart phone?

Answers

Answer:TC=$160.49

Step-by-step explanation:total cost=original+tax

tax=7% of 149.99

tax=0.07 times 149.99

tax=10.49993

total cost=149.99+10.49993

total cost=160.4893

round

sooo TC=$160.49

Well um there you go..

Answers

Answer

73

Step-by-step explanation:

Shampoo can be bought in 5 gallon pails. The groomer uses 16 ounce bottles to to hold the shampoo. How many bottles can he get out of the 5 gallon pail?

Answers

Answer:

The groomer can get 40 bottles out of the 5 gallon pail.

Step-by-step explanation:

A gallon contains 128oz (ounces)

128/16=8

8 bottles/gallon

times both sides by 5

40 bottles/5 gallons

Therefore the groomer can get 40 bottles out of the 5 gallon pail

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

No Solution

Step-by-step explanation:

As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.

PLS ITS DUE IN 20 MINUTES
Estela and Luiza are going to share 35 dolls, either in the ratio of their ages, or in the ratio of dolls they have
Estela is 9 years old and has 24 dolls already.
Luiza is 12 years old and has 36 dolls already.
Which ratio would be better for Estela?​

Answers

Answer: the ratio of ages

The ratio of ages 9:12 or 3:4
Estela would get 3/7

Ratio of dolls 24:36 or 2:3
Estela would get 2/5

Help me please itsmath

Answers

Answer:

I'ts B, (5,2)

Step-by-step explanation:

It's B :)

Answer:

A

Step-by-step explanation:

the equation is the second one

A scale on a map shows that 1 inch: 8 miles. On the map, Kylie’s house is 2.5 inches from her grandma’s house. What is the actual distance between the two houses?
( Hint: Not D)
A. 10

B. 15

C. 20

D. 25

Answers

Answer:

C. 20

Step-by-step explanation:

If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20

Kathy Is 12 years old and Ben is 16 years old. How many years ago was Ben three times Older than Kathy?

Answers

10 years ago because 2 times 3 is 6

Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.

Present age :

Kathy, k = 12

Ben, b = 16

Serting up the equation thus :

Let the number of years = x

16 - x = 3(12 - x)

16 - x = 36 - 3x

Collect like terms

-x + 3x = 36 - 16

2x = 20

x = 10

Hence, Ben was 3 tines older than Kathy 10 years ago.

Learn more : https://brainly.com/question/25625086

WILL GIVE BRAINLIEST - 6TH GRADE MATHEMATICS

Angie is showing her work in simplifying −7.9 + 8.2 − 3.4 + 2.1. Identify any errors in her work or in her reasoning.


Step Work Reasoning
−7.9 + 8.2 − 3.4 + 2.1 Original problem
1 −7.9 + 8.2 + (−3.4) + 2.1 Additive inverse
2 −7.9 + (−3.4) + 8.2 + 2.1 Commutative property
3 [−7.9 + (−3.4)] + (8.2 + 2.1) Associative property
4 −11.3 + 10.3 Simplify
5 −1 Simplify
She did not make any errors.
Step 1: She wrote −3.4 incorrectly as + (−3.4).
Step 2: She identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: She identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

Answer:

Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)

Answer:

step 1

Step-by-step explanation:

Help im diening please

Answers

Answer:

y = x + 3

Step-by-step explanation:

To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.

As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .

Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5

( 4 ) = 3 ( 1 ) + 1

4 = 4

However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.

( 5 ) = 3 ( 2 ) + 1

5 = 6

Therefore, equation is false / incorrect.

Equation No. 2 : y = x + 1 where x = 1 , y = 4

( 4 ) = ( 1 ) + 1

4 = 2

Therefore, equation is false / incorrect.

Equation No. 3 : y = x + 3 where x = 1 , y = 4

( 4 ) = ( 1 ) + 3

4 = 4

Therefore, equation is true / correct.

Equation No. 4 : y = x - 3 where x = 1 , y = 4

( 4 ) = ( 1 ) - 3

4 = - 2

Therefore, equation is false / incorrect.

For which rational numbers of a is the expression a-3/3: equal to 5/2 a is a positive number

For which rational numbers of a is the expression a-3/3: greater than 5/2 a is a positive number

For which rational numbers of a is the expression a-3/3: less than 5/2 a is a positive number

I need help cuz this i rsm and my class is in an hour *AND GIVE ALL ANSWERS!!!!!!!*

Answers

Answer:

a=?

a=?

a=?

Step-by-step explanation:

On a coordinate plane, a line goes through (0, 1) and (5, 0). What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

Answers

Answer:

First find slope of first line given the two points

Slope is change in y over change in x

0-1 over 5-0

Slope = -1/5

Slope of the line perpendicular to this line has a slope that is the negative reciprocal.

Slope of the new line is 5

You are given the y intercept with the first point so put these things together in the slope intercept formula

Y=5x +1

Step-by-step explanation:

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