Instructions: Use the graph to identify the vertex and then fill in the vertex form of the
quadratic function.

Answer:

the answer is 4.27

Step-by-step explanation:

Answer:

[tex]19 \sqrt{662622 = 34874 \: remainder \: 16} [/tex]

34874 rem 16

[tex]~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right][/tex]

[tex]\begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} \$600000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &30 \end{cases}[/tex]

[tex]pymt=600000\left[ \cfrac{\frac{0.03}{12}}{1-\left(\frac{12}{12+0.03}\right)^{12\cdot 30}} \right]\implies pymt=600000\left[\cfrac{0.0025}{1-\left( \frac{12}{12.03} \right)^{360}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill pymt\approx 2529.62~\hfill[/tex]

Answer:

Graph attached

Step-by-step explanation:

Counterclockwise rule: (x, y) to (-y, x)

Hope this helps!

Answer:

x = 10.4

y = 9

Step-by-step explanation:

Suppose the triangles are similar

x/26 = 8/20 (side lengths must be proportional) cross multiply expressions

20x = 208 divide both sides by 20

x = 10.4

same goes for y

6/(6+y) = 8/20 cross multiply expressions

120 = 8y + 48 subtract 48 from both sides

72 = 8y divide both sides by 8

9 = y

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Area = height x length

893.2 = 31.9 x length

To find length divide both sides by the height:

length = 893.2 / 31.9

Length = 28 yards

Answer:

4.84 yards

Step-by-step explanation:

You plug in the values into the formula for the Area of a triangle

Answer:

459

Step-by-step explanation:

Since to find out mile to kilometer you divide the mile by 1.609 would equal  458.66304 and rounding it to the nearest whole kilometer is 459 there is you answer.

The distance between Lowell and Shelby is approximately 460 kilometres.

Given that information:

1 km = 0.62 miles

Also given the distance between Lowell and Shelby is 285 miles.

To convert miles to kilometres, use the conversion factor:

1 mile = 1.60934 kilometres

Now calculate the distance in kilometres as follows:

Distance in kilometres = 285 miles × 1.60934 km/mile

Distance in kilometres ≈ 459.7 kilometres.

Now, round the answer to the nearest whole kilometre as follows:

Distance in kilometres ≈ 460 kilometres.

Hence, the distance between Lowell and Shelby is approximately 460 kilometres.

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#SPJ3

Answer:

13

Step-by-step explanation:

refer the image attached below

Answer:

1.

x < -3

2.

x <= 5
3.

x >= 6

Using limits, the correct statement is given by:

The degree is odd and the leading coefficient is negative.

It is found by it's limits as x goes to infinity. On the left, it is given by:

[tex]\lim_{x \rightarrow -\infty} f(x)[/tex]

On the right, it is given by:

[tex]\lim_{x \rightarrow \infty} f(x)[/tex]

Since it is a limit as x goes to infinity, we only consider the term with the highest degree and it's leading coefficient.

Hence, the behavior described, that is, [tex]\lim_{x \rightarrow -\infty} = \infty, \lim_{x \rightarrow \infty} = -\infty[/tex] happens when:

The degree is odd and the leading coefficient is negative.

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Answer:

The degree is odd and the leading coefficient is negative.

Step-by-step explanation:

Answer:

A’(5,-5)

B’(2,-4)

C’(4,-2)

Step-by-step explanation:

Reflecting the points across the y axis will be making the x values opposite, so the new points will be:

A(5,5)

B(2,4)

C(4,2)

A reflection across the X axis will be making the Y values opposite so the new points will be:

A’(5,-5)

B’(2,-4)

C’(4,-2)

The volume of the solid is 753.6 in³

Volume is the amount of space occupied by a three dimensional figure or shape.

The volume of the solid with hole = (π * (8/2)² * 16) + (1/3)(π * (8/2)² * 9)= 954.56 in³

Volume of hole =  (π * (2)² * 16) = 200.96 in³

Volume of solid = 954.56 in³ - 200.96 in³ = 753.6 in³

The volume of the solid is 753.6 in³

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Answer:

the inverse operation to the power of 2

Step-by-step explanation:

i don't know if this will help you

Answer:

144in²

Step-by-step explanation:

area of a square = s²

where s = side length.

the given side length is 12 inches

so area = 12² = 144

Answer:

67

Step-by-step explanation:

72 times 72

minues 42a plus 8a

6 degrees each day

Step-by-step explanation:

get 36 and divide by 6 or do 6x6 either way that's what u get each day 6.

Answer:

7 youre right, i was wrong the first time

Step-by-step explanation:

i hope this helps

Answer:

12:15 P.M

Step-by-step explanation:

2:55 P.M - 1hr 30 min = 1:25 P.M

1:25 P.M - 1hr 10 min = 12:15 P.M

Jane started making the cookies at 12:15 P.M

Answer:

[tex] - 4 \: and \: 2 \\ [/tex]

Step-by-step explanation:

[tex]\\ where \: the \: lines \: touch \: on \: \\ the \: y \: axis \: and \: the \: x \: axis [/tex]

Probabilities are used to determine the chances of a shipment being accepted or rejected

The rate of defect is 5%.

So, the probability that a tablet is not defect is 95%

The probability that there is no defect out of the 39 selected tablets is:

[tex]P(None) = 0.95^{39}[/tex]

[tex]P(None) = 0.1352[/tex]

The probability that there is one defect out of the 39 selected tablets is:

[tex]P(One) = 39 * 0.05 * 0.95^{38}[/tex]

[tex]P(One) = 0.2777[/tex]

Add both probabilities

[tex]P(Accepted) = 0.1352 + 0.2777[/tex]

[tex]P(Accepted) = 0.4129[/tex]

Hence, the probability that a shipment will be accepted is 0.4129

The above probability is less than 0.5.

This means that many shipments will be rejected

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Answer:

Corresponding angles converse theorem

Step-by-step explanation:

Angles x and y are corresponding angles.

This makes the lines parallel by the converse of that theorem.

This makes it similar by the corresponding angles converse theorem.

Definition of converse

the reverse of another

The corresponding angles theorem is for the congruency of the angles by parallel lines. Here we want to see if the lines are parallel given the congruency of the angles.

We can flip the operation, checking to see if the angles are congruent, which proves that the lines are parallel.

-Chetan k

Subtract the amount of £1 coins from 50p coins:

256-172 = 84

84/3 coins = 28 people paid with 3 coins.

172 people paid using £1 coins

172 + 28 = 200 total people

percent who used 3 coins = 28/200 = 0.13 x 100 = 14%

Answer: 14%

Answer:

4/52 for drawing a 4 and 13/52 for drawing a spade from a deck

Answer:

lengths are 12, 16, and 20

Step-by-step explanation:

let 's' = length of smaller leg

let '4+s' = length of second leg

let '8+s' = length of hypotenuse

Now use the Pythagorean Theorem:  a² + b² = c²

s² + (4+s)² = (8+s)²

s² + 16 + 8s + s² = 64 + 16s + s²

2s² + 8s + 16 = 64 + 16s + s²

subtract s² from each side:

s² + 8s + 16 = 64 + 16s

subtract '16s' from each side:

s² - 8s + 16 = 64

subtract 64 from each side:

s² -8s - 48 = 0

factor:

(s+4)(s-12) = 0

's equals -4 and 12 but -4 is discarded as a length so smallest side is 12

Answer:

Annika needs to sell 21 new boxes in order to get her new badge

Step-by-step explanation:

To find the answer, we subtract 25-4

We get 21 when we do this

So that’s our answer

Answer:

3 17/24

Step-by-step explanation:

= (5 - 1) + (3/8 - 2/3)

= 4 + 3/8x3/3 - 2/3 x 8/8

=4 + 9/24 - 16/24

=4 + 9-16/24

=4 + -7/24

=3 17/24

3 17/24

Answer:

Step-by-step explanation:

AS the top line progresses by 1, the bottom line progresses by 2.

So I'm going to fill in the top line from 3 to 8

1     2    3   4    5    6    7     8

3     5    7   9   11    13  15     17

The number that goes underneath the 8 is 17

Now we wonder how you get 21 in the second line

9     10

19   21

So the two answers you want are 17 on the bottom line and 10 on the top line.