Use the table to write a linear function that relates y to x

Given:

The graph of a quadratic function [tex]y=x^2-4x+3[/tex].

To find:

(a) The coordinates of the turning point.

(b) The roots of the equation [tex]y=x^2-4x+3[/tex]

Solution:

(a)

From the given graph it is clear that first the graph is decreasing after that it is increasing. So, the minimum point is the turning point.

The turning is at (2,-1) because the distance between the turning point from the y-axis is 2 and from the x-axis is 1 in the downward direction.

Therefore, the coordinates of the turning point are (2,-1).

(b)

The x-intercepts are the roots of an equation because roots are the x-coordinates of the points where the graph intersect the x-axis.

From the given graph it is clear the graph intersect the x-axis at x=1 and x=3.

Therefore, the roots of the given equation are 1 and 3.

Answer:

hi

Step-by-step explanation:

Answer:

Answer is - 9 + 12 because they have different signs in front of each integer. (if that is what the question means)

Step-by-step explanation:

Negative sign x negative sign = positive sign

-9 - (-12) = -9 + 12

-9 - 12

-12 - 9 = -9 - 12

12 - (-9) = 12 + 9 = 9 + 12

Answer:

136

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

A system of linear equations has no solution when the graphs are parallel.

Answer: -3

Step-by-step explanation: Hope I helped! :D

Answer:

5 + (18,8 × 5) = 99

Explaination

one ticket costs: (99$ - 5$) ÷ 5 = $18,8

Answer: −36x+9

Step-by-step explanation:

This is the simplified form. Still the same equation but put differently.

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

Answer:

6 miles.

Step-by-step explanation:

To solve this problem, lets make an equation in slope-intercept form (y = mx + b)

The initial fee is $6. This is our y-intercept (b) as it is unchanging.

Our slope (m) would be $3, as it changes value per mile, which will be represented by x.

$24 was the total fare, so this is our y.

We have:

24 = 3x + 6

Subtract 6 from both sides.

24 - 6 = 3x + 6 - 6

We get:

18 = 3x

Divide by 3 on both sides.

18/3 = 3x/3

We get:

6 = x

So, Mike traveled 6 miles.

I would appreciate brainliest, if not that's ok!

Answer:

-7,-5,0 and 4 is from the least to the greatest.

Answer:

-5,-7,0,4

Step-by-step explanation:

-5

-7

0

4

Answer:

boiling point Fahrenheit: 212

boiling point Celsius: 100

freezing point Fahrenheit: 32

freezing point Celsius: 0

Answer:

D. c(p) = 0.42p

Step-by-step explanation:

total cost = .42(P)

Example: 5 lbs

$2.10 = $.42(5)

c(p) = 0.42p <== ur function

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought

p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.

Answer: The function rule that gives the total cost is given by

Step-by-step explanation:

Let the number of pounds of sugar be 'p'.

Let the total cost would be C(p).

Cost of each pound = $0.42

So, the function rule would be

Hence, the function rule that gives the total cost is given by

Answer:

15

Step-by-step explanation:

substitute the value of the variable into the equation and simply

Answer:

5027 square centimeters (cm2)

Step-by-step explanation:

Answer:

800π or 2513.3

Step-by-step explanation:

A = πr²/2

A = 1600π/2 or 800π

Answer:

y = x - 19

Step-by-step explanation:

slope: 1/1x

(2,-17) Subtract by slope until x = 0, so you can get the y-intercept.

(1,-18)

(0,-19)

y - intercept: (0,-19)

Slope-intercept form: y = mx + b

y = x -19

Step-by-step explanation:

If the process is fair, it can be expected to happen about 12.5% of the

time. (0.5)(0.5)(0.5) = 0.125

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

600 cups

Step-by-step explanation:

Answer:

Parallelogram is never a trapezoid

Step-by-step explanation:

Given

Shapes: Parallelogram and Trapezoid

Required

Compare both shapes

The properties for comparison of both shapes are:

In a parallelogram: It has 4 sides and opposite sides are parallel.

In a trapezoid: It has 4 sides, 2 of which are parallel while the other two are not.

Hence, the word that completes the sentence is never.

Answer:

to me B makes the most sense

Step-by-step explanation:

hope this helps :)

Answer:

[tex]x = - 1[/tex]

Step-by-step explanation:

[tex] - 5x + 11 = - 8(6x + 4)[/tex]

[tex] = > - 5x + 11 = - 48x - 32[/tex]

Lets keep the variable terms in L.H.S. and the constant terms in R.H.S.

[tex] = > 48x - 5x = - 32 - 11[/tex]

[tex] = > 43x = - 43[/tex]

Lets divide 43 on both the sides.

[tex] = > \frac{43x}{43} = \frac{ - 43}{43} [/tex]

[tex] = > x = - 1[/tex]

Answer:

$7.99

Step-by-step explanation:

You take the total price and divide by the number of objects. So $47.94/6= $7.99

The unit price is $7.99 per pair of gloves.

Here,

A package of 6 pairs of insulated gloves costs $47.94.

We have to find the unit price of the pairs of gloves.

What is Divide rule?

To separate into parts or groups are called divide rule.

Now,

A package of 6 pairs of insulated gloves costs $47.94.

Hence,

The unit price of the pairs of gloves = $47.94 ÷ 6 = $7.99

Therefore, The unit price is $7.99 per pair of gloves.

Learn more about the divide visit:

https://brainly.com/question/1622425

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Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

[tex]2\pi \times r( \frac{x}{360} )[/tex]

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

[tex]2\pi \times 5( \frac{60}{360} )[/tex]

Multiply 2 pi times 5=10 pi

[tex]10\pi( \frac{60}{360} )[/tex]

Simplify 60/360 to 1/6

[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]

Reduce it to

[tex] \frac{5\pi}{3} [/tex]

Answer:

y=-24

Step-by-step explanation:

hope this will help you

Answer:

what label?

Step-by-step explanation:

Can you maybe add a picture?

Thanks

Answer:

L

Step-by-step explanation:

if the chocolate was heavier it wouldn't fit in the wrapper properly. its more likely for it to be lighter that heavier.

Answer:

r = - 9

Step-by-step explanation:

Given

4r + 10 = - 26 ( subtract 10 from both sides )

4r = - 36 ( divide both sides by 4 )

r = - 9

Answer: 5

Step-by-step explanation:

Let R be the event that players threw right-handed.

Let O be the event that players were over 30 years old.

Given: Total players = 25

n(R) = 17 ,   n(O) = 12  , n(R and O)=9

According to the probability formula,

n(R or O) = n(R)+n(O)-n(R and O)

⇒ n(R or O) =17+12-9

⇒ n(R or O) = 20

Now , n(neither R nor O) = Total - n(R or O)

= 25-20

=5

Hence, the number of players on the team neither threw right-handed nor were over 30 years old = 5