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Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = 2x(x - 3)
Answer:
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Answer:

A right angle.

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]

So, it will hit the ground at 6.77 s.

Answer:

Area of rectangle = 10 in.²

Area of triangle = 0.5 in.²

Square inches of plastic in bookmark = 9.5 in.²

Step-by-step explanation:

✔️Area of rectangle = Length × Width

Length = 5 in.

Width = 2 in.

Area of rectangle = 5 × 2 = 10 in.²

✔️Area of Triangle = ½*bh

b = 1 in.

h = 1 in.²

Area of triangle = ½*1*1

Area of triangle = 0.5 in.²

✔️Square inches of plastic in bookmark = area of rectangle - area of triangle

= 10 - 0.5 = 9.5 in²

Answer:

no, they are not.

Step-by-step explanation:

3z means a number multiplied by 3

so if z is 2, 3(2) = 6

but z^3 means z multiplied by z, and then multiplied by z again.

so if z is 2, it's 2x 2 = 4 x 2 = 8

let me know if you have questions

The two expressions are not equivalent to each other.

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

From the expressions given:

Let us assume that:

z^3 = 3z

Now, let's replace 2 for the value of z on both sides, we have:

(2)^3 = 3(2)

8 ≠ 6

Learn more about equivalent expressions here:
https://brainly.com/question/2972832

Answer:

x=3

Step-by-step explanation:

3(2x+3)=27

2x+3=27/3=9

2x=9-3=6

x=6/2=3

Answer:

C

Step-by-step explanation:

area of circle is found by [tex]\pi[/tex][tex]r^{2}[/tex]

r=4 so 4*4=16

so A=16[tex]\pi[/tex]

we are finding area of shaded part so 45/360(16[tex]\pi[/tex])

The area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

Henry constructed circle A with a radius of 4 units.

Henry then created a sector as shown in the figure below.

As we know, the area of the sector can be find using the formula:

Area of the sector = (θ/360)πr²

Here, θ is the central angle

r is the radius

π = 3.141

r = 4 units

θ = 45 degrees

A = (45/360)π(4)²

A = (45/360)16π square units

Thus, the area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.

Learn more about circle here:

brainly.com/question/11833983

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Answer:

C is the answer according to me

Answer:10

Step-by-step explanation:

Answer:

10 people

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{x}{40} =sin 40\\x=40 sin 40 \approx 25.71[/tex]

Answer:

Trinomial

Step-by-step explanation:

Its called a Trinomial since it has 3 terms in it                                                                                                                                

Hope its helps!

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

Answer:

B) A/l

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide l from both sides of the equation:

A = l * w

(A)/l = (l)/l * w

w = A/l

B) A/l is your answer.

~

Answer:

True

Step-by-step explanation:

Hope this helps you

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Answer:

The answer is x>2, x has to be greater than 2,

the answer is 4 since it is greater than 2

Answer:

6.25 ft

Step-by-step explanation:

The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25

Answer:

6.25ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)

Answer:

732

Step-by-step explanation:

Answer:

209 robberies

Step-by-step explanation:

Robberies last year =348

Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.

Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8

To the nearest whole number = 209

There are 209 robberies this year.

I hope this help.  

Answer:

9 + 22h

Explanation:

The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h

So, we have:

nine more than the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]

More than, in this case means plus (+)

nine + the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]

Rewrite nine as 9 and substitute h for Gordons height

9 + the [tex]product[/tex] of 22 and h

product, in this case means multiplication (*)

9 + 22 * h

So, the expression is:

9 + 22h

Answer:

$0.30 per ounce

Step-by-step explanation:

16 ounces per pound

16 x 2 = 32 ounces per 2 pounds

9.60/32 = $0.30 per ounce

Answer:

f(3) = 7

Step-by-step explanation:

f(3) = 3+4

f(3) = 7

Answer:

It will take

100 songs for the monthly price of Napster to cost the same as iTunes.

Answer: 98.1%

Explanation:

A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.

For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

Explanation:

You can verify this by plugging each root into the equation.

So for instance, plug in x = -2 and we get

f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)

f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)

f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)

f(-2) = 0

This verifies x = -2 is a root.

All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.

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