I'm a little confused with this question, please help.

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 6x + 2

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 2

  = (x - 3)² - 7 ← in vertex form

with vertex = (3, - 7 ) and a = 1

Since a > 0 then vertex is a minimum

Answer:

The vertex is a minimum.

Answer:

x = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x

Multiply through by 6 to clear the fractions

2x - (3 - 2x) = 15x ← distribute and simplify left side

2x - 3 + 2x = 15x

4x - 3 = 15x ( subtract 4x from both sides )

- 3 = 11x ( divide both sides by 11 )

- [tex]\frac{3}{11}[/tex] = x

Answer: x=-3/11

Step-by-step explanation:

Answer:

C. 46.5

Step-by-step explanation:

The formula for circumfrence is:

C= 2*pi*r

You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Answer:

24

Step-by-step explanation:

Each side from triangle AHM to triangle DPL is divided by 2

32/2 = 16

40/2 = 20

Therefore, 48 / 2 = 24

Answer:

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

Answer:

3/663 or 1/221 chance

Step-by-step explanation:

A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.

There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.

To do it twice there is a 3/51 x 1/13 chance.

Answer:

23

Step-by-step explanation:

[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]

Hence, 23 songs can be purchased with a $35 gift card.

Answer:

4*5*5*2=200 numbers

Step-by-step explanation:

this is because 2,4,6,8 can be the first digit.

2,4,6,8,0 can be the second same for the third.

2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.

Answer:

100 numbers

Step-by-step explanation:

Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.

Answer:

[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Step-by-step explanation:

[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Answer:

5/6 miles

Step-by-step explanation:

If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.

Answer:

EF = 8

Step-by-step explanation:

FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is

[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10) ← distribute

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Thus EF = x = 8

Answer:

2 x 5

Step-by-step explanation:

When we add matrices, the dimensions of the matrices being added must be the same

A and B are 2 x 5 matrices so they are both 2 x 5 matrices

The output or the sum is also a 2 x 5 matrix

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.

Answer:

129

Step-by-step explanation:

DCF = DCE + ECF

      = 75+ 54

      = 129

Answer:

m∠DCF = 129°

Step-by-step explanation:

∠DCF is ∠DCE + ∠ECF

You are adding the 2 smaller angles together to get the larger angle.

Answer:

It's Rational. Hopes this helps you!

Step-by-step explanation:

Answer:

A. 1

Step-by-step explanation:

2/3 ÷ (-4) - (1/6-8/6)

Solve for brackets.

2/3 ÷ (-4) - (-7/6)

2/3 ÷ (-4) + 7/6

-2/12 + 7/6

Make denominators equal.

-2/12 + 14/12

12/12

= 1

Answer:

D. 9

Step-by-step explanation:

We are told in the question that: The number of tennis balls represented by P(n), in n layers of the square pyramid is given as

P(n) = P(n - 1) + n²

Let's take the first layer

n = 1

P(1) = P(1 - 1) + 1²

P(1) = 1 tennis ball.

It is important to note that the first layers we have one tennis ball.

Let's take the second layer

n = 2

P(2) = P(2 - 1) + 2²

P(2) = P(1) + 2²

Note that: P(1) above = 1

P(2) = 1 + 2²

P(2) = 5 tennis balls

It is important to note that the second layer we have five tennis balls

Let's take the third layer

n = 3

P(3) = P(3 - 1) + 3²

P(3) = P(3 - 1) + 3²

P(3) = P(2) + 3²

Note that: P(2) above = 5

P(3) = 5 + 3²

P(3) = 14 tennis balls

It is important to note that the second layer we have fourteen tennis balls

Let's take the fourth layer

n = 4

P(4) = P(4 - 1) + 4²

P(3) = P(4 - 1) + 4²

P(3) = P(3) + 4²

Note that: P(3) above = 14

P(3) = 14 + 4²

P(3) = 30 tennis balls

It is important to note that the fourth layer we have thirty tennis balls

Hence, the number of tennis balls from the first four layers will be: 1, 5, 14, 30,

So, the number of tennis balls that Coach Kunal could not have is 9.

Answer:

[tex]P(4,3) = 4![/tex]

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]

This implies that

[tex]P(4,3) = \frac{4!}{(4-3)!}[/tex]

[tex]P(4,3) = \frac{4!}{(1)!}[/tex]

[tex]P(4,3) = \frac{4!}{1!}[/tex]

[tex]P(4,3) = \frac{4!}{1}[/tex]

[tex]P(4,3) = 4![/tex]

Answer:

The answer is 4!

Step-by-step explanation:

I just got this question right

Answer:

b^ (m-n)

Step-by-step explanation:

When the bases are the same, when dividing, we subtract the exponents

b^m/b^n

b^ (m-n)

Answer:

Multiplication:

1 x (3/4 x4/5)

= 3/5

Answer:

7/5 (improper fraction), or 1 2/5 (mixed number)

Step-by-step explanation:

One and three-fourths written as an improper fraction is 7/4.

Now we multiply 4/5 by 7/4.  The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)

Answer:

Yes

Step-by-step explanation:

For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.

Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.

Thus, we have:

LM/XY = ON/WZ = MN/WZ = LO/ZY

35/10 = 35/10 = 63/18 = 63/18

It would give us a scale factor of 3.5

They are similar.

The answer is:

YES

LMNO ~ WXYZ

Scale factor = 3.5

Answer:

solution,

[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]

Hope this helps...

good luck on your assignment.

Answer:

x = - 3

Step-by-step explanation:

2(x + 1) + 2(x - 2) = 3(x-3) + 4​

2x + 2 + 2x - 4 = 3x - 9 + 4

2x + 2x - 3x = - 9 + 4 - 2 + 4

4x - 3x = - 3

x = - 3

Answer:

y=-1/4x +3

Step-by-step explanation:

x/2 + 2y = 6

Subtract x/2 from both sides

2y=-x/2 +6

Simplify by dividing by 2

y=-1/4x +3

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation:

Answer:

A=bh=21·13=273

Step-by-step explanation:

using this formula A=bh

place base in b, and the height or hypotenuse in A

Answer: A~267.96

Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76

Answer: 5.2

Step-by-step explanation:

This is known as the heart beat method. Search it up for a better explinations.

Basically you putting 3/x = x/9 and simplifying to get sqrt27.

Search this up and watch the video for a better explination

heartbeat method geometry

Answer: B

Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct

Answer: I think it’s $1.80

Step-by-step explanation:

Sorry if I’m wrong

Answer:

Firstly, divide the tax rate by 100: 6/100 = 0.06 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.

Now, find the tax value by multiplying tax rate by the before tax price:

tax = 39.99 × 0.06

tax = 2.4 (tax value rouded to 2 decimals)

Add tax to the before tax price to get the final price:

The final price including tax = 39.99 + 2.4 = 42.39

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis

Answer:

a) DE ≅ GF

Step-by-step explanation:

In the picture attached, the diagram is shown.

An isosceles trapezoid is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. In this case, the left and right side lengths are DE and GF, respectively; then they are congruent.