What is the vertex of the graph of the function f(x) = x^2 + 8x - 2?

Answer:

Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11

garlands and 4 banners

Step-by-step explanation:

I'm not really sure how I got this but it hope it helps!

Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

Answer:

50?

Step-by-step explanation:

Answer:

The age of son is 50.THANK YOU.

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

Answer:

A.) .75

Step-by-step explanation:

So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:

0.5, 0.5, 0.75, 0.75, 1, 1, 1  

And the median of the is 0.75

So the lower quartile is .75

hope this helps:)

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

Answer:

5 units

Step-by-step explanation:

4^2 + 3^2 = 25

sqr root 25 is 5

Answer:

The distance from P to Q is

D. 5 units

Answer: No solution

Step-by-step explanation: by solving the rational equation by combining expressions and isolating the variable = no solution

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

============================================================

Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

---------

As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

Answer:

4

Step-by-step explanation:

just look at the graph and find where y is -5 the correlating point is 4

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

Answer:

706.8583

Step-by-step explanation:

[tex]Area = \pi r^2[/tex]

[tex]Area = \pi 15^2[/tex]

[tex]Area = \pi 225[/tex]

[tex]Area = 3.14159265*225[/tex]

[tex]Area = 706.85834625[/tex]

Round it and you get 706.8583

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

Answer:

min 1

Q1 = 6

med = 12.5

Q3 = 14

Max = 19

Step-by-step explanation:

Min simply refers to the smallest value and that is 1

Q1 is the first quartile and the formula is;

Q1 = (n+ 1)/4

where n is the number of terms which is 10

Q1 = (10 + 1)/4 = 2.75

This is approximately 3 and the 3rd term is 6

med is the median value and that is 12 + 13 = 25/2 = 12.5

Q3 is the third quartile

Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14

Max is simply the highest in value and that is 19

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Answer:

$8835.75

Step-by-step explanation:

The equation to use for this is for the area of a circle which is:

π r^2

So by plugging in 15 feet:

π 15^2,

π 225,

~706.86 ft^2.

Next, multiply this by the $12.50 per square foot.

706.86 * 12.50 = $8835.75

All done!

Answer:

1.125 ft²

Step-by-step explanation:

Take the height and the diagonals, multiply, and then divide by 2

Answer:

Second and last options are correct answers.

Step-by-step explanation:

Correct options are:

[tex] \huge \frac{(8^3)^2}{8^{-5}}= \purple {\bold {\frac{8^6}{8^{-5}}}} [/tex]

[tex]\huge \frac{(8^3)^2}{8^{-5}}= \frac{8^6}{8^{-5}}=\red{\bold {8^{11}}} [/tex]

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

Answer and Step-by-step explanation:

Here is the equation for finding the sides (just to show):

68 = (2L + 2W)

We multiply L and W by 2 because there are two of the lengths and 2 of the widths.

Now, we add the scale factor to the outside, but on both sides of the equation.

68 × 1.5 = 1.5(2L + 2W)

Multiply 68 by 1.5.

102 = 1.5(2L + 2W)

The answer is 102.

The perimeter of the resulting rectangle is 102 ft.

#teamtrees #PAW (Plant And Water)

Answer:

sure I can help with that.....

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think

Answer:

negative value for r

Step-by-step explanation:

Given data

Given the exponential function A(x)= P (1+r)^x

A negative value for r will make the function a decay

Hence the decay function will look like

A(x)= P (1-r)^x

u could ask your teacher for help but i really dk

Answer:

12 cm

Step-by-step explanation:

OP = √(15² - (18/2)²)

=√(225- 9²)

=√(225-81)

=√144

= 12

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!