N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function

Answer:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Step-by-step explanation:

[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Therefore the last digit of 6*5* is 0.

Therefore:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

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

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

Learn more about Scatter Plot:

https://brainly.com/question/13984412

#SPJ2

Answer:

Solution,

X=4

Now,

[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 16/3 or 5.333333...

Step-by-step explanation:

5x - 3y = 4

→ Substitute the value of x = 4 into the expression

(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4

20 - 3y = 4

→ Minus 20 from both sides to isolate -3y

-3y = -16

→ Divide both sides by 3 to isolate y

y = 16/3 or 5.333333...

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Answer:

452.389342 cubic inches

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 pi r^3

to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.

from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.

Note that this is only the volume of 1 sphere, so we multiply by 4

and we get 452.389342 cubic inches

Answer:

452.4

Step-by-step explanation:

Radius of each sphere: 24/4/2=3

Formula for volume: (4pir^3)/3

Formula for 4 spheres: 4 times (4pir^3)/3

Substitute 3 for r

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

Answer:

m = 0.25

Step-by-step explanation:

-0.8 = -3.2m

m = 0.25

Answer:

0.25 :)

Step-by-step explanation:

Answer: x = -1

Step-by-step explanation:

2x - 6 + 17 = 9

Subtract 17 from both sides

2x - 6 = -8

Add 6 to both sides

2x = -2

Divide by 2 on each side

x = -1

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]

Area = [tex]\sqrt{48(24)(16)(8)}[/tex]

Area = [tex]\sqrt{147,456}[/tex]

Area = 384 cm²

Coordinates for the shape:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)

Answer in in Image.

Reflection of shape:

Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.

Here, After reflection, the reflected shape coordinates are:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).

Learn more about reflection of diagrams here:

https://brainly.com/question/12757305?referrer=searchResults

#SPJ2

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

Answer:

Step-by-step explanation:

Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114

Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

Answer:

did u ever get hte answers for this ?

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

Answer:

1.75 pounds

Step-by-step explanation:

28 divided by 16 = 1.75!

Hope it helps!

Answer:

1.75 pounds or 1 3/4 pounds

Step-by-step explanation:

28/16 = 1.75

Answer:

Brainliest? I solved both!

Step-by-step explanation:

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2