Michelle needs to convert the function f(x) = x2 - 10x +31 to vertex form, fx) = (x - 1)2 + k, in order to find the minimum.
When she does this, what is the value of k in the vertex form of function ?
26
56
31
6

Answer:

X=1

Step-by-step explanation:

Solve this like any other two step equation.

But first plug in y value.

3x + 2 = 5

Subtract 2 from each side

3x = 3

Now divide each side by 3

X=1

Hope this helps plz mark brainliest!

Answer:

[tex]3x +2= y; y=5. \\3x +2 = 5\\3x =5 -2\\3x = 3\\Divide-both-sides-of-the-equation-by 3\\\frac{3x}{3} =\frac{3}{3} \\x = 1[/tex]

Step-by-step explanation:

x = 1

Step 1 : Substitute 5 for y in 3x +2= y

Step 2 : Collect like terms

Step 3 : Simplify

Divide both sides of the equation by 3

x = 1

Answer:

x ≥ 4

Step-by-step explanation:

There is a closed circle at 4 so it means equals

The line goes to the right so that means greater

x ≥ 4

Answer:

D or x≥4

Step-by-step explanation:

The number has to be 4, since the dot lies on it, so that excludes A and B.

It is greater, because the arrow is pointing right instead of left.

Since the circle is closed, then it means that it includes 4.

So, C would not be the answer, because it is read as " x is greater than 4"

it should be D, which is " x is greater than or equal to 4" (since the circle is closed).

Thus, D is the answer

Answer:

A =275.88 m^2

Step-by-step explanation:

The area of a parallelogram is found by

A = bh

A = 24.2 * 11.4

A =275.88 m^2

Answer:

275.88

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the equation for the line is written in slope intercept form y=mx+b m is the slope and b is the y intercept where the line crosses the y-axis

Hello! :)

This equatio is written in slope-intercept form, which looks like so:

y=mx+b

Here, m is the slope, and b is the y-intercept.

In the given equation, 2 is the slope, and 3 is the y-intercept.

I hope it helps you. Please ask me if you have any questions.

~A forlorn teen

[tex]MagicalNature[/tex]

Answer:

C

Step-by-step explanation:i took test on edge 2020

Answer: y =2x

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Since a circle with a 2-inch radius has a diameter of 4 inches, it means that the diameter of a circle (y) is equal to two times its radius (x).

Mathematically speaking:

y = 2 x

Feel free to ask for more if needed or if you did not understand something  

Answer:

Would you mind taking a screen shot of it?

Step-by-step explanation:

Answer:

A.2

Step-by-step explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13

3² + b² = 13

9 + b² = 13

Subtract 9 from each side:

9 + b² - 9 = 13 - 9

b² = 4

Take the square root of each side:

√b² = √4

b = 2

Answer:

A 2

Step-by-step explanation:

Edge

Answer:

D)5

Explanation:

opening the bracket, you get :2x+3 = 4x-4

solving further you ,that is collecting like times you will get 2x-4x = -4-6

Therefore,-2x = -10

Dividing both sides by -2,xis equal to 5.

I hope this helps…

Answer:

b)

i) Focus ( 0,a) = [tex](0,\frac{1}{2} )[/tex]

ii) The equation of the directrix is

                            [tex]y = -\frac{1}{2} or y +\frac{1}{2} =0[/tex]

Step-by-step explanation:

Step(i):-

  A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not in a line) in the plane

• The Fixed line is called the directrix of the parabola.

• The Fixed point is called the focus of the parabola.

• A line through the focus and perpendicular to the directrix is called the axis of the parabola.

• The point of intersection of parabola with the axis is called the vertex of the parabola.

Given Parabola x² = 2 y

Comparing  x² = 4 a y

                   4 a = 2

                     [tex]a = \frac{1}{2}[/tex]

  Focus ( 0,a) = [tex](0,\frac{1}{2} )[/tex]

Step(ii)

The equation of the directrix is y = -a or y +a=0

The equation of the directrix is

                            [tex]y = -\frac{1}{2} or y +\frac{1}{2} =0[/tex]

The equation of the directrix is 2 y +1 =0

Answer:

b.

Step-by-step explanation:

edg 2021

Answer:

y=x

Step-by-step explanation:

slope intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Let's rewrite the given equation in the form of y=mx+c, so that we can determine the gradient of the line.

y-4= x-6

y= x -6 +4

y= x -2

Thus, the gradient of the given line is 1.

the product of the gradients of perpendicular lines is -1.

(gradient of line)(1)= -1

gradient of line= 1

Thus, m=1.

y= 1x +c

y= x +c

To find c, substitute a coordinate.

When x= -2, y= -2,

-2= -2 +c

c= -2 +2

c=0.

Thus the equation of the line is y=x.

Answer:

RTK = UTK

Step-by-step explanation:

Answer:

RTK =UTK

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

She paid $24.72 for the 2 packages of chicken because $12.36×2=$24.72.

She paid $0.99 for the broccoli because $1.98×1/2=$0.99.

She paid $3.49 for the milk because one gallon of milk costs $3.49.

$24.72+$0.99+$3.49=$29.20.

$29.20+$0.80=$30.00.

She used $30.00 to pay for the items.

Answer:

$30

Step-by-step explanation:

Answer:

(- 6, 0 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = - 18 → (1)

2x + 9y = - 12 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is

6x + 4y = - 36 → (3)

- 6x - 27y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- 23y = 0

y = 0

Substitute y = 0 into either of the 2 equations and evaluate for x

Substituting into (1)

3x + 0 = - 18

3x = - 18 ( divide both sides by 3 )

x = - 6

Solution is (- 6, 0 )

Answer:

Angle 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The others are all acute angles, and we can see that 1 seems to be slightly larger than a right angle.

Answer:

A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 10), and (16, 8).

Step-by-step explanation:

The y-intercept of the graph is the height of the leaf at the beginning, that is, 12 ft. This means that point (0, 12) is on the line.

The leaf falls to the ground at a rate of 0.25 feet per second, this means that after 8 seconds, the leaf travel 8*0.25 = 2 ft. Given that it started at 12 ft, its height is 12 - 2 = 10 ft. In other words, the point (8, 10) is on the line. Similarly, its height after 16 seconds is 12 - 16*0.25 = 8 ft, that is, the point (16, 8) is on the line.

Answer:

the answer is D

Step-by-step explanation:

A line is passing through (0, 12), (8, 10), and (16, 8).

Answer:

Maybe 4x+6 i'm not sure

Step-by-step explanation:

Answer:

It's 4x+6

Step-by-step explanation:

Answer:

A are 20, 15. The first (x) coordinate tells how far along the horizontal (x) axis it is, here 20. The second (y) coordinate tells how far up the vertical (y) axis it is, here 15.

Step-by-step explanation:3D space we add a third coordinate called z. This tells how far the point is in the third dimension. You can think of this third (z) dimension

Answer:

Step-by-step explanation:

is there a third question because it is loading

The calculated value of the gcf of 64 and 144 is 16

From the question, we have the following parameters that can be used in our computation:

Expressions = 64 and 144

Expand both expressions

So, we have

64 = 2 * 2 * 2 * 2 * 2 * 2

144 = 2 * 2 * 2 * 2 * 3 * 3

Multiply the common factors

GCF = 2 * 2 * 2 * 2

Evaluate

GCF = 16

Hence, the gcf of 64 and 144 is 16

Read more about GCF at

brainly.com/question/17067741

#SPJ6

Answer:

B

Step-by-step explanation:

idk how to explain but it iss what it issss

Answer:

its postulate, and theorem

Step-by-step explanation:

i did this assignment

The types of statement can be used to explain the steps of a proof is postulate and theorem.

A statement that has been proven true or that can be proven is known as a theorem in mathematics. A logical argument is used to prove a theorem by using the deductive system's inference rules to show that the theorem follows logically from the axioms and other theorems that have already been proven.

Guessing and Conjecture is just striking some ideas without any definite conclusion.

A claim that is accepted as true without evidence, also referred to as an axiom. Lemmas and theorems are deduced from postulates, which serve as their fundamental building block.

Thus, the statement used in proof is Postulate or Theorem.

Learn more about Theorem here:

https://brainly.com/question/30066983

#SPJ5

Answer:

width = 18.97 inches

Step-by-step explanation:

To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.

The diagonal of the box is given by:

diagonal^2 = length^2 + width^2 + height^2

Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:

36^2 = 30^2 + width^2 + 6^2

1296 = 900 + width^2 + 36

width^2 = 360

width = 18.97 inches

Answer:

  0

Step-by-step explanation:

When there is one x-intercept, the discriminant is zero.

__

The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.

When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).

When the discriminant is negative, there are no x-intercepts and the two roots are complex.

William's fastest speed given his typical speed and the diffeerence between his fastest speed and his typical speed is 7.5 mi/h.

Addition is determining the total value or summing two or more numbers. Addition is one of the four basic operations in mathematics.

Fastest speed = 1.5 + 6 = 7.5

To learn more about addition, please check: https://brainly.com/question/19628082

Answer:

81 x 12^8

Step-by-step explanation:

3^12 x 4^8

Use the properties of exponents

3^4 x 12^8

= 81 x 12^8

Answer:

2.156489996 * 10^21

Step-by-step explanation:

Answer:

5 elephants

Step-by-step explanation:

lions = 6

crocs = lions -2 = 6-2 =4

monkeys = 5*crocs = 5*4 = 20

the rest are elephants

35 - 20 -4-6 = 5

5 elephants

Answer:

5

Step-by-step explanation:

6-2=4

4*5=20

35-30=5

Answer:

A mathematical term that does not include an equal or inequality sign is called an expression.

Step-by-step explanation:

Example:

(2+2)4+8

You do what's in parenthesis first, which is 2+2 = 4

Then, you multiply 4 by 4 because there is no sign between the paratinsees

4 x 4= 16

Then you add 8.

Your answer is 24.

Hoped this helped!

☆*: .｡. o(≧▽≦)o .｡.:*☆

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96[/tex]

[tex]=48x-96\\\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30\\6\left(x+5\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=6,\:b=x,\:c=5\\=6x+6\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:5=30\\=6x+30\\48x-96=6x+30\\\mathrm{Add\:}96\mathrm{\:to\:both\:sides}\\48x-96+96=6x+30+96\\Simplify\\48x=6x+126\\\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}\\48x-6x=6x+126-6x\\\mathrm{Simplify}\\42x=126\\\mathrm{Divide\:both\:sides\:by\:}42[/tex]

[tex]\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3[/tex]

Answer:

y = (1/2)x - 3

Step-by-step explanation:

slope-intercept form: y =mx + b

m - slope,

b - y - intercept.

m = 1/2

b= - 3

y = (1/2)x - 3