rewrite the equation in standard form (y=ax^2+bx+c)

y=3(x-5)^2 +1

please show and explain steps, thanks

Sophiya has to pay 2.2 dollars for per pound of pretzel sticks.

Unitary method is a mathematical technique for first obtaining the value of a single unit then deriving the given units by multiplying it with the single unit.

The cost per pound of pretzel sticks can be obtained by the unitary method.

Given that 5 pounds of pretzels costs 11 dollars,

Now to obtain the cost of per pound of pretzel sticks we'll put the total cost at the numerator and the total weight of the pretzel sticks on the denominator.

∴ Per pound of pretzel costs (11/5) dollars which is,

= 2.2 dollars per pound of pretzel sticks.

learn more about unitary method here :

https://brainly.com/question/28276953

#SPJ1

Answer:

0.00037

Step-by-step explanation:

Solving the problem as per a linear equation, it can be proved that q = r.

A linear equation is an algebraic equation in the form of y = mx+ b. The highest power of a variable in a linear equation is always 1. Such equations always form a straight line on the graph.

From equation 1 we can write,

2q - r = 4p.................(1)

or, 2q - 4p = r ( side switched ) ................(2)

Now, 2p = r

or, 4p = 2r and we know 2r = q

Hence, we can write 4p = q ...............(3)

If we put equation (3) in (1)

we will get, 2q - q = r

or, q = r

q = r is proved.

To know more about a linear equation, refer to the following link:

https://brainly.com/question/4074386

#SPJ4

The square root of 60 minus 11 would be plotted on a number line in between −3 and 8, but closer to 8.

A straight line with numbers placed at equal intervals or segments along its length. Number line is a straight line with a "zero" point in the middle, with positive and negative numbers listed on either side of zero and going on indefinitely.

Given:

The square root of 60 minus 11 would be plotted on a number line.

According to given question we have

We know that the  square root of 60

=

[tex]\sqrt{60} \\\\=7.74[/tex]

So, By the statement square root of 60 minus 11 we have,

=7.74-11

=-3.25

So, in the number line the points are lies in between −3 and 8, but

closer to 8.

Therefore, the square root of 60 minus 11 would be plotted on a number line in between −3 and 8, but closer to 8.

Learn more details about number line here:

https://brainly.ph/question/28776158

#SPJ1

Arranged steps after solving equation [tex]\frac{-8}{3} x+4(x+\frac{9}{4} )= \frac{-2}{3} (x+\frac{12}{8} )+3[/tex] are

An equation is an formula which equates two mathematical expressions.

We can solve equations by adding or subtracting same number from both sides or by diving both sides by same number (positive or negative)

[tex]\frac{-8}{3} x+4(x+\frac{9}{4} )= \frac{-2}{3} (x+\frac{12}{8} )+3\\[/tex]

After Opening brackets, we get:

[tex]\frac{-8}{3} x+4x+4(\frac{9}{4} )= \frac{-2}{3} x-\frac{2}{3} *\frac{12}{8} +3[/tex]

[tex]\frac{-8}{3} x+4x+9= \frac{-2}{3} x-1 +3[/tex]

Subtracting 9 from both sides, we get:

[tex]\frac{-8}{3} x+4x+9-9= \frac{-2}{3} x-1 +3-9\\\frac{-8}{3} x+4x= \frac{-2}{3} x-7[/tex]

Moving all terms of x on to one side:

[tex]\frac{-8}{3} x+4x+\frac{2}{3} x =-7\\\\\\frac{-8x+12x+2x}{y} =-7\\\\\frac{6x}{3}= -7\\ 2x=-7[/tex]

Dividing both sides by 2 , we get

[tex]x=\frac{-7}{2}[/tex]

On solving the given equation we got x =-7/2

Also, Learn more about equations from:

https://brainly.com/question/15707224

#SPJ1

Answer:

pls rate as brainliest is you really want to appreciate it

Answer: X = - 5    

Step-by-step explanation:

Answer: 195

Step-by-step explanation:

65%=65/100

300 * 65/100=

300 * 6.5/10=

300 * 13/20=

3900/20=

390/2=195

Answer:

Best answer choice seems to be C.

Step-by-step explanation:

The result of the expression described by the word phrase as in the task content is; 8/3 = 2.667.

It follows from the task content that the expression described by the word phrase be evaluated.

First, (11-3) = 8 and

Also, (2+1) = 3.

Ultimately, when (11-3) is divided by (2+1); we have; 8/3 = 2.667.

Read more on division of numbers;

https://brainly.com/question/20301788

#SPJ1

Answer:

the throwing back by a body or surface of light, heat, or sound without absorbing it.

"the reflection of light" The reflection factor of a body is the ratio of the light reflected by the body to the incident light.

The constant of proportionality for the ratio of green team students to gray team students is 7/8.

Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.

It can be expressed in different ways:

1) Use the ":" to separate the values : a : b

2) Use the word "to" : a to b

3) Write it in fraction: a / b

The ratio that relates two given values is called the constant of proportionality, a/b.

If the green team has 42 students, and the gray team has 48 students, then the ratio of green team students to gray team students can be written as:

42 : 48 or 42 to 48 or 42/48

To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.

Divide both number by 6.

42 : 48 = 7 : 8 or 7/8

Hence the constant of proportionality is 7/8.

Learn more about ratio here: brainly.com/question/13513438

#SPJ4

The time taken to hit the ground is 13 seconds.

It should be noted that the function that was given based on the information is:

h(t) = 16t²

where h = height

t = time

Therefore, when the height is 2704ft, the time will be:

h(t) = 16t²

2704 = 16t²

t² = (2704 / 16)

t² = 169

t = ✓169

t = 13

The time taken is 13 seconds.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

Given the length and perimeter, the width of the rectangle is 38 inches.

Hence, option A) 38inches is the correct answer.

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

To determine the width of the rectangle, plug the given values into the formula above and solve for x.

P = 2( l + w )

220  = 2( (2x - 4) + x )

220 = 2( 2x - 4 + x )

220 = 2( 3x - 4 )

Apply distributive property

220 = 2( 3x - 4 )

220 = 2(3x) + 2(-4)

220 = 6x - 8

Collect like terms

220 + 8 = 6x

228 = 6x

6x = 228

x = 228/6

x = 38

Now, since "x" represent the width of the rectangle,

The width of the rectangle w = x = 38 inches.

Given the length and perimeter, the width of the rectangle is 38 inches.

Hence, option A) 38inches is the correct answer.

Learn more about rectangles here: https://brainly.com/question/27612962

#SPJ1

Answer:

Step-by-step explanation:

Group of six

Answer:

2 hours

Explanation:

Stock A:

9AM $14.56 +$0.12/hr

10AM $14.68 +1hr

11AM $14.80 +2hrs

12PM $14.92 +3hrs

Stock B:

12 PM (Noon) $15.06 -$0.07/hr

1PM $14.99 +1hr

2PM $14.92 {+2HR}

Answer:

Option 4

Step-by-step explanation:

This is the ratio of the lengths of the sides of a 45-45-90 triangle.

Answer:

Parallel lines have the same slope, so the slope of the other line is also 1/6

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the other line is also 1/6

Answer:

Step-by-step explanation:

Hope this helps :)

Answer:4/9

Step-by-step explanation:

Find the GCD

8/2

18/2

Answer:

4/9

Step-by-step explanation:

Let's simplify the value,

→ 8/18

→ (8 ÷ 2)/(18 ÷ 2)

→ 4/9

Thus, the value is 4/9.

Time required to form 3,000,000 bacteria from 10 if it will double every hour = 18.2years.

The phrase exponential refers to a high number expressed in smaller terms, or something that grows at an ever-increasing rate. 25 is shown as 5x5 as an example of an exponential. The erosion that is occurring on the Holderness coast in eastern England is an example of exponential erosion.

Using the formula of exponential growth:

y = a*b^t

a = reflects the initial bacterial population

t =  represents the doubling.

the information given

a = 10

t = 1 hour

After 1 hour, the number of bacteria multiplies by 2, so:

y = 2 × 10 = 20

So that:

20 = 10 × b^1

Dividing through by 10 gives:

2 = b

solving this we get an equation:

y = 10(2)^t

Solving for 3,000,000 bacteria.

Substituting the value in the formula:

3000000 = 10(2)^t

3000000/10 = (2)^t

300000 = (2)^t

Applying the log of both sides, it gives:

Log 300000 = tlog2

5.477 = 0.301t

t = 5.477/0.301

t = 18.2 years

Time required to form 3,000,000 bacteria from 10 if it will double every hour = 18.2years.

To know more about exponential growth visit:

https://brainly.com/question/12101306

#SPJ4

Answer:7

Step-by-step explanation:

just gotta add it up all good

Answer:

7

Step-by-step explanation:

Fractions are in their simplest form when they have no common divisors other than 1 at their top and bottom. That is, the top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term".

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

3^(1/2) 12^(1/2)

Simplify the following:

sqrt(3) * sqrt(12)

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

sqrt(3)×2 sqrt(3)

sqrt(3)×2 sqrt(3) = 3×2:

3×2

3×2 = 6:

Answer:

6

More problems are in the link below.

https://brainly.com/question/21050698?referrer=searchResults

#SPJ4

The mean of Christopher's test score throughout the year is 80.5

Christopher scores during the World Cultures and Geography class for the past year are

87, 90, 77, 68, 65, 62, 75, 83, 98, 100

The mean can be calculated as follows

87+ 90+77+ 68+ 65+62+75+83+98+100/10

= 805/10

= 80.5

Hence the the mean of Christopher's test score throughout the year is 80.5

Read more on mean here

https://brainly.com/question/16858096

#SPJ1

Answer:

x=g/6

Step-by-step explanation:

because if u do the inverse of multiplication which is division on both sides it gives u that and solves for x

Answer:

Step-by-step explanation:

PS =5 because PS's line is parallel to 5 the line.

So now all that is left is the angle one

m∠Q =105° we can come to this conclusion because 105° is parallel to m∠Q

If you are still confused please, let me know! :)

Addition of algebraic terms

(6a+4b-7c) + (12a-10b+15c)

⇒ simplify each term

⇒6a+4b-7c+12a-10b+15c

⇒18a-6b+8c

subtraction  of algebraic terms

(7x-12y+18z) -(3x+18y-10z)

⇒ 7x-12y+18z-3x-18y+10z

⇒4x-30y+28z

: A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5

Check : 4 is the square of 2

Check :  a2  is the square of  a1

Factorization is :       (5a + 2)  •  (5a - 2)

To know more about Algebra

visit-:https://brainly.com/question/24875240

#SPJ9

Rebeeca’s histogram most likely shape will be Skewed to the left.

The histogram shows a symmetrical data distribution. A distribution is symmetrical if a vertical line can be drawn at any point in the histogram such that the shapes to the left and right of the vertical line are mirror copies of each other.

The mean and the median both reflect the skewing, but the mean reflects it more so. This is because the mean and median are measures of central tendency. Because in Rebecca’s data the mean is smaller compared to the median, it makes the histogram skewed to the left. If the median were to be smaller than the mean, it would be skewed to the right.

To learn more about histogram. Click, https://brainly.com/question/20234486

#SPJ4

It should be noted that since Taylor got 3(4x) and the correct expression is 3(4x + 1), he is incorrect.

It should be noted that the expression given is illustrated as 12x+3=3(4x).

We need to solve this:

12x + 3

It should be noted that the common factor is 4.

Therefore, 12x + 3 = 3(4x + 1)

Therefore, since Taylor got 3(4x). He is incorrect.

Learn more about expressions on:

brainly.com/question/22048677

#SPJ1

Taylor's work:

12x+3=3(4x)

Taylor's Check:3(4x)=12x

Is this correct?

Answer:

Step-by-step explanation:

acute