An object is launched directly upward from ground level at a rate of 96 feet per second. The height of the object is given by the equation y = −16x^2 + 96x.

When is the object AT OR ABOVE a height of 128 feet?

A) 1 ≤ x ≤ 3
B) 1 ≤ x ≤ 4
C) 2 ≤ x ≤ 3
D) 2 ≤ x ≤ 4

Step-by-step explanation:

[tex]2 - \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2} = \: \frac{ax + b}{x {}^{2} - 4 } \\ = \: \: 2 - \frac{(x + 1)(x + 2) - (x - 4)(x - 2)}{x {}^{2} - 4 } \\ = \frac{2x {}^{2} - 8 - x {}^{2} - 2x - x - 2 - x {}^{2} + 2x + 4x - 8 }{x {}^{2} - 4 } \\ = \frac{ - 8 - 2 + 3x - 8}{x {}^{2} - 4 } \\ = \frac{3x - 18}{x {}^{2} - 4 } \\ [/tex]

so, a = 3, b = -18

Answer:

3x - 18 ÷ x^2 - 4

a=3

a=3b= - 18

Hope this helps!

The area of a shape is the amount of space it occupies

Using the assumed values, the area of the shaded region is 3 square meters

From the question, we understand that the rectangle is inscribed in the trapezoid

This means that, the area of the rectangle is smaller than the area of the trapezoid

The question is incomplete, so we make use of the following assumed values.

So, the shaded region would be

Shaded = 18 - 15

Evaluate the difference

Shaded = 3

Hence, the area of the shaded region is 3 square meters

Read more about shaded regions at:

https://brainly.com/question/8460992

Answer:

i think his work is popular today because it was aheaahead of his time and yes  i do think his songsongs created today will be popular in 400 years. Step-by-step explanation:

Answer:

Lynn's gross pay for the week is $29.12

Step-by-step explanation:

Lynn gets paid $2.08 for each usable machine part she makes. Out of the 440 parts she made this week, only 14 parts were usable.

Therefore, use the equation:

$2.08 x 14 = $29.12

Answer:

d I think I could be wrong but hey who knows

10. C because if you use the distance formula you get 10.

Answer: x = 11; y = -1.

Step-by-step explanation:

-9y + 2 = x        (1)

-x - 3y = -8        (2)

Substitute x from Equation 1 into Equation 2:

-(-9y + 2) - 3y = -8

9y - 2 - 3y = -8

9y - 3y = -8 + 2

6y = -6

y = -1

Substitute y into Equation 1 and find x:

-9 * (-1) + 2 = x

x = 11

Answer:

[tex]\red{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

Step-by-step explanation:

[tex]X+a = \frac{X+b}{c} \\ \\ \implies \: c(X+a) = X+b\\ \\ \implies \: cX+ac= X+b \\ \\ \implies \: cX - X = b - ac \\ \\ \implies \: X(c - 1) = b - ac \\ \\ \implies \: \huge \purple{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

Answer:

15 cm

Step-by-step explanation:

540cm squared= 36 · b

540 ÷36= b

b= 15 cm

Answer:

1) [tex]\dfrac78[/tex]

2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]

3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Step-by-step explanation:

1)

[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]

2)

[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]

3)

First convert mixed number into improper fraction:

[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]

[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]

Answer:

Point A (0, 8)

Point B (0, -6)

Point C (0, 0)

I hope this helps!

Answer:

m<20

Step-by-step explanation:

m must be less than 20

m < 20

or

20 > m

Answer:

05 is your answer

Step-by-step explanation:

hope it helps you

Answer:

it might be 3

Step-by-step explanation:

due to someone getting 5sec wrong me getting 2 wrong another post with only three stars said 4 so id leave it to 4 or 3.(process of elimination)

Answer:

you didnt attach the picture or assignment

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

Answer:[tex]\frac{19}{15}[/tex] or 1.26667

Step-by-step explanation:

m=rise over run=Δy over Δx

m=y2−y1x2−x1

m=−10−9−6−9

m=−19−15

m=19/15

Answer:

8 hours

Step-by-step explanation:

$216 → 12 hours

$1 → [tex]\frac{12}{216}[/tex] hours

$144 → ( [tex]\frac{12}{216}[/tex] *144) → 8 hours

Answer:

12 years old

Step-by-step explanation:

let h = helmi's age and let s = son's age (right now)

10s = 3h

h + 5 + s + 5 = 62

h + s + 10 = 62

h + s = 52

3h + 3s = 156

10s + 3s = 156 (substitution)

13s = 156

s = 12

Answer:

In its Plessy v. Ferguson decision (1896), the U.S. Supreme Court ruled that “separate but equal” facilities for African Americans did not violate the Fourteenth Amendment, ignoring evidence that the facilities for Black people were inferior to those intended for whites.

Step-by-step explanation:

hope that helps love

All customers in Mogale City, irrespective of income, receive the first 6 kls of water free.

Answer:

y > 4x + 1.

Step-by-step explanation:

The other person that listed their answer was also correct.

In order to make an equation as such, we need to find the slope of this line and the y-intercept. The y-intercept is the "+b" in y=mx+b. The slope is mx. So, to identify the slope we need to calculate rise over run on the graph, which is 4. So:

y __ 4x + __.

On the y-intercept, the y crosses and meets at the point (0,1) on the x-intercept exactly, so we don't need to worry about there being any fractions right now. So:

y __ 4x + 1.

Now, because this line has a positive slope, the inequality symbol is "chomping" at the y, like this:

y > 4x + 1.

I hope that this helps.

The answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign is y = -2x + 3

The inequality symbol is less than (<). This means that all points below the line y = -2x + 3 satisfy the inequality.

To understand why this is the case, let's consider a few points on the line y = -2x + 3. For example, the point (0, 3) is on the line. If we plug these coordinates into the inequality, we get:

y = -2x + 3

3 = -2(0) + 3

3 = 3

This is a true statement, so we know that the point (0, 3) satisfies the inequality.

Now, let's consider a point that is below the line y = -2x + 3. For example, the point (1, 1) is below the line. If we plug these coordinates into the inequality, we get:

y = -2x + 3

1 = -2(1) + 3

1 = 1

This is also a true statement, so we know that the point (1, 1) satisfies the inequality.

Therefore, we can conclude that all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.

Here is a graph of the inequality y < -2x + 3.

As you can see from the graph, all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.

To learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

toAnswer:

x ≥ 1

[] See attached

Step-by-step explanation:

[Given]

-6 ≤ -7 + x

[Add 7 to both sides]

1 ≤  x

For the graph, we will plot the point 1 and fill it in since x is greater than or equal to 1. Next, we will draw an arrow to the right showing greater than.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

The equation is wrongexplanatiowrongexplanwrongo

Step-by-step explanation:

Answer:

The volume of the rectangular prism is 352 ft. The total surface area is 328 ft.

Step-by-step explanation:

Volume:

V = whl

V = 8 x 4 x 11

V = 352 ft

For finding surface area you have to find the lateral surface area: 152 ft, top surface area: 88 ft, and the bottom surface area: 88 ft. Add all that up and you get 328 ft.

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

First, we need to remember to use the order of operations:

Parentheses

Exponents

Multiplication/Division (whichever comes first)

Addition/Subtraction (whichever comes first)

Start by evaluating 2⁴ since exponents come first...

80/16*4

Now do the division first since it comes first in the equation...

5*4

Lastly do the multiplication...

20

Answer:

8xb + 456x

Step-by-step explanation:

8x(b + 456)

8xb + 456x

You multiply 8x by the numbers in the parenthesis. And you add the variables to the coefficents.

I hope it helps! Have a great day!

Lilac~

Answer:

The Area of the shaded region would be 100 in^2 .

Step-by-step explanation:

Given:

Check the Attachment.

To Find:

The Area of Shaded Region

Solution:

The Triangle and the Rectangle have the same base(b) that is equal to the length(l) of the rectangle.

Note that Height of the triangle is same as breadth of the rectangle.

Now Let's come in the main solving part :-

We know that the formula of Area of the Triangle is ;

[tex]\boxed{ \rm \: Area \: of \: Triangle= \tt \: 1/2× \rm \: base×height , i.e. \: \tt \: 1/2× \rm\: b×h}[/tex]

Substitute the values where Base= 20 in and Length = 10 in:

[tex] \tt \: Area \: of \: Triangle=1/2×20 \: \times 10[/tex]

Now Solve it.

[tex] \tt \: Area \: of \: Triangle= \cfrac{1}{ \cancel2 {}^{1} } \times \cancel{20} {}^{10} \times 10[/tex]

[tex] \tt \: Area \: of \: T riangle = 10 \times 10[/tex]

[tex] \tt \: Area \: of \: Triangle=\boxed{\tt 100 \: in {}^{2}} [/tex]

Hence, the area of the shaded region is 100 sq.in or 100 in^2 .

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

I hope this helps!

Let me know if you have any questions. :)

Answer:

3 days

Step-by-step explanation:

because a works twice as fast meaning they can do there work 3 times as fast

Answer:

Which part do you want? I can easily help you

3=39

2=108

1=72