complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates

Answers

Answer 1

Answer:

[tex]y=(x-3)^2-7[/tex]

Minimum

(-3,-7)

Step-by-step explanation:

[tex]y=x^2 -6x+2[/tex]

[tex]b=-6[/tex]

[tex]\frac{b}{2} =(-3)^2=9[/tex]

[tex]y+7=x^2-6x+9[/tex]

[tex]y=(x-3)^2-7[/tex]

-7 is a minimum.


Related Questions

if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.

Answers

75,000 I’m 100% sure
What you do it 300 divided by 4% times 10

Which coordinate grid shows M plotted at (4,3)​

Answers

Answer:

B

Step-by-step explanation:

4,3 is x 4 y 3

Answer:

B

Step-by-step explanation:

graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times

plz help plzplzplzplz

Answers

Answer:

It is C.

First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.

help me with this please (2)

Answers

Answer:

Step-by-step explanation:

surface are of triangular prism =(a+b+c)h+bh

=(5+5+4)11+4*6

=14*11+24

=154+24

=178 yd^2

On a set of blueprints for a new home, the contractor has established a scale that states ½ inch = 10 feet.
If the den has dimensions of 0.6 inch by 0.75 inch on the blueprints, what will be the dimensions of the actual den after the house is built?
*For this answer PLEASE answer with the number of feet by the number of feet
*Example: 16 feet by 20 feet OR 16 ft by 20 ft. You can use a decimal if it terminates

Answers

Answer:

12 ft by 15 ft

Step-by-step explanation:

set up a proportion of inches over feet equals inches over feet:

.5/10 = .6/x

cross-multiply to get:

.5x = 6

x = 12

.5/10 = .75/y

cross-multiply to get:

.5y = 7.5

y = 15

32 7/12 ÷3 3/10 but an estimate​

Answers

Answer:

20.740

Step-by-step explanation:

This is right.

Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]

Answers

The answers to the first two systems of equations

Please provide an explanation.

Answers

Answer:

-9

Step-by-step explanation:

In a linear equation like this, the first number is the slope and the last number is the y-intercept

Can Some one help fast easy question

Answers

Answer: x = 2

Step-by-step explanation:

4x + 4 = 2x + 8

2x = 4

x = 2

Answer: x = 2.

Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.

4x = 2x+4 subtract 2x on both sides

2x = 4        divide both sides by two

x = 2

I hope this helps, have a nice day.

solve the equation x - 4 = -3 help yall-

Answers

Answer:

x = 1

Step-by-step explanation:

x - 4 = -3

(add 4 to both sides)

x - 4 + 4 = -3 + 4

x = 1

Answer:

x = 1

Step-by-step explanation:

So you have to separate the x from the rest of the equation

so you can add 4 to both sides so x is by itself

so ur left with:

x = -3 + 4

and that is equal to x = 1

Hope that helps :)

A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.

Answers

x=-3

x=4

hope helps you

have a nice day

What is the greatest common factor of 20, 12, and 36?

Answers

Answer:

The answer is 4

Step-by-step explanation:

Find the surface area of the pyramid. The faces of the triangular pyramid are equilateral triangles 34.6 mm 40 mm 40 mm The surface area is?​

Answers

Answer:

would you still like me to help you with this problem?

Reflect the vector (-3,5) across
the line y=x.

Answers

Answer:

(5, - 3 )

Step-by-step explanation:

Under a refection in the line y = x

a point x, y ) → (y, x ), then

(- 3, 5 ) → (5, - 3 )

The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

The vector is (-3, 5)

The reflection line is y = x

The transformation rule:

(x, y) → (y, x)

(-3, 5) → (5, -3)

Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ5

Five and one half of 2 and one third is what number?

Answers

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = [tex]5\dfrac{1}{2}[/tex]

2 and one third = [tex]2\dfrac{1}{3}[/tex]

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]

[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]

[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]

[tex]=\dfrac{77}{6}[/tex]

Therefore, the required number is [tex]\dfrac{77}{6}[/tex].

what is 713.49 written as a standard form​

Answers

It’s one hundred seven thirteen and forty nine hundreds

Which trigonometric function(s) have a value of sqrt 3 / 2 ?
a sin pi/3
b sin 5pi / 6
c cos 5pi / 3
d cons pi / 6

Answers

Answer:

sin (π/3)= √3/2

cos (π/6) =√3/2

HELP! ILL MARK YOU BRAINLY OR WHATEVER ITS CALLED

Answers

these r all parallelograms
area is base x height
10 x 3.03 = 30.3 yards

4.9 x 6.6 = 32.34 in

5.8 x 9.7 = 56.26 ft

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

S = {x | x is a multiple of 4 and 9 ≤ x < 37}
Which set is equivalent to S?

A) {8, 12, 16, 20, ...}
B) {8, 12, 16, ..., 36}
C) {9, 12, 16, ..., 37}
D) {12, 16, 20, 24, ...}
E) {12, 16, 20, ..., 36}

PLEASE HELP RNNNN

Answers

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

What is a set?

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ2

12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)

Answers

Answer:

54061 in³

Step-by-step explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³

please answer In(5x-3)=4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]

⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).

# ꧁❣ RainbowSalt2²2² ࿐

PLEASE HELP! I'M GIVING 100 POINTS!

The depth of the deepest part of a body of water is 25,344 inches. Express this depth in scientific notation using an appropriate unit from the given list. What is the most appropriate unit for expressing the​ depth? What is the​ depth?
1 centimeter
10 millimeters
1 meter
100 centimeters
1 inch
2.54 centimeters
Select the correct choice below. If​ necessary, fill in the answer box to complete your choice.
​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)
A.
The most appropriate unit is the meter. The depth is
nothing meters.
B.
The most appropriate unit is the millimeter. The depth is
nothing millimeters.
C.
The most appropriate unit is the centimeter. The depth is
nothing centimeters.
D.
The most appropriate unit is the inch. The depth in inches is given.

Answers

Answer:

meter probably

Step-by-step explanation:

I think it’s meter, cuz the other options are mainly used for smaller amounts.

I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!

Answers

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Write the equation of the line in slope-intercept form.

Answers

Answer:

[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]

Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:

Answers

Answer:

x = 10

Step-by-step explanation:

[tex]x^2 = 8^2 + 6^2\\x^2 = 64 + 36 = 100\\x = \sqrt{100} = 10[/tex]

Help me find the mean mode range median

Answers

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

if anyone could just look at my recent question pls its super easy its just simplyfing

Answers

Answer: K

Step-by-step explanation:

Ill do it

Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished

Answers

Answer:

2,889 digits

Step-by-step explanation:

Total pages of the book = 999 pages

Page 1 - 9 cut separately = 9 digits

Page 10 - 99 = 90 pages

Total digits = 2(90)

= 180 digits cut separately

Page 100 - 999 = 900 pages

Total digits = 3(900)

= 2,700 digits cut separately

how many separate digits does Kai have when he is finished

Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits

= 2,889 digits

Total separate digits Kai have when he is finished = 2,889 digits

Round 122.1587 to the nearest hundredth?

Answers

Answer:

100

Step-by-step explanation:

H T U

1 2 2

2 is a num below 5 therefore

2=0

can someone tell me if i'm correct or not

Answers

you are correct

Step-by-step explanation:

mark me as a brainlist

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