A ball thrown upwards hits a roof and returns back to the ground.

The upward movement is modeled by a function [tex]s=-t^2+3t+4[/tex]
s= −(t^2)+3t+4
and the downward movement is modeled by [tex]s=-t^2+3t+4[/tex]
s= −2(t^2)+t+7, where s is the distance (in metres) from the ground and t is the time in seconds.

Find the height of the roof from the ground.

Answer:

12x - 36

Step-by-step explanation:

4 (3x – 9)

Distribute

4 *3x - 4*9

12x - 36

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{4(3x - 9)}[/tex]

[tex]\huge\text{= 4(3x) + 4(-9)}[/tex]

[tex]\huge\text{= 12x - 36}[/tex]

[tex]\huge\boxed{\textsf{Answer: 12x - 36}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment \& enjoy your assignment!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

multiplication prop of equality, (multiplying both sides by 6)

simplifying, (not distrib prop as there is no parentheses)

Addition prop of equality, (adding 18 to each side)

simplifying

Step-by-step explanation:

y² - x² + 1 = 50

y² = x² - 1 + 50 = x² + 49

y = ±sqrt(x² + 49)

this is not a function in that sense, as for every x there are not one but 2 y (result) values.

Answer:

The number is 11.

Step-by-step explanation:

[tex]3(8+x)=57\\24+3x=57\\3x=33\\x=11[/tex]

Answer:

Cos C = a/h

= 21/35

Step-by-step explanation:

since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35

Answer:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase

Step-by-step explanation:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase.

Answer:

4.

Step-by-step explanation:

Change of base formula is

logb x = loga x / loga b

So logx 25 = log5 25 /log5 x

Now log5 25 = log5 5^2 = 2, so:

logx 25 = 2 / log5 x

So log5 x^2 * logx 25

= log5 x^2 * 2 /log5 x

= 2 log5 x * 2 / log5 x

= 4.

Answer:

39 units

Step-by-step explanation:

The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.

We have,

a=3-x

b=10+x

h=6

Now,

Area=1/2h(a+b)

       =1/2*6(3-x+10+x)=3(13)=39 units

Answer:

4 = 6

5 = -17

Step-by-step explanation:

4. a² - b / b² - c

a² = 2² = 4

b = -2

4 - (-2) = 4 + 2 = 6

6 / b² - c = 6/4 - 3 = 6/1 = 6

4 = 6

5. -3x² + 2xy + 7

-3x² = -3 * -2² = -3 * 4 = -12

2xy = 2 * -2 * 3 = -4 * 3 = -12

-12 + -12 + 7 = -24 + 7 = -17

5 = -17

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

By rule of bodmas rule

= 1 - 31 + 6 + 3 × 8

= 1 - 31 + 6 + 24

= 1 - 31 + 5 + 24

= - 30 + 5 + 24

= - 25 + 24

= -1

Now without using bodmas rule

= 1 - 31 + 6 + (4 - 1). 8.

=-30+6+4+(4-1)×8

=-23+4+(4-1)×8

=-19+4+(4-1)×8

=-15+(4-1)×8

=-15+3×8

=-15+24

=-9

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

x= -2

Step-by-step explanation:

4x + 2 = 6(-2x - 5)

Distribute

4x+2 = -12x-30

Add 12x to each side

4x+2+12x = -12x-30+12x

16x+2 = -30

Subtract 2 from each side

16x+2-2=-30-2

16x = -32

Divide by 16

16x/16x = -32/16

x = -2

Answer:

1/25

Step-by-step explanation:

There are five students. They all have a 1/5 chance. You have to include the chance of all five students, so each student has a 1/25 chance.

Answer:

-97.6°F

Step-by-step explanation:

The formula to convert the temperature is 9/5d + 32. Substitite -72 for d and solve!

9/5(-72) + 32

-129.6 + 32

-97.6

Best of Luck!

Answer:

-97.6

Step-by-step explanation:

Answer:

the answer should be B

Step-by-step explanation:

take the total of people who got the flu(63) and the amount of them who were vaccinated(35) and write it as a fraction. 35/63 in its simplest form is 5/9

Answer:

Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83

I hope I helped you^_^

Answer:

Option C

Step-by-step explanation:

the linear equation y = 2x+10 matches with option c

Answer:

A: s ≤ 6g

Step-by-step explanation:

Had this on a test that I scored 100 on.

The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.

An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.

From the given information, we have the following claim that:

So, we are given certain condition attached that;

Then, the inequality that is true for this condition is 6s ≤ g.

It implies that, the player truly won the six games but it doesn't guarantee him winning the set.

Learn more about inequalities here:

https://brainly.com/question/24372553

Answer:

Step-by-step explanation:

Because then the value on the other side will be unbounded by the infinity sign while expressing the answers on a number line.

please click thanks and mark brainliest if you like :)

Answer:

x is 18, and y is 9 √ 3

Step-by-step explanation:

Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.

The relationship is listed below:

The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3

So x is 18, and y is 9√3

Answer:

0.8

Step-by-step explanation:

To get to C, you must start by taking the lower of the first two branches

That has a probability of 0.4

C is the branch on your right and has a probability of 0.2

P(C) = 0.4 * 0.2 = 0.8

Answer:

.26

Step-by-step explanation:

Answer:

[tex]352\ yd^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of a three-dimensional figure is the two-dimensional space around the figure. Simply put, if one was going to wrap the figure up in paper, the surface area is the amount of paper one would need to wrap the entirety of the figure. One can find the surface area of a figure by finding the area of each individual facet of the figure and then adding up the areas.

2. Finding the area of the triangular faces

The formula to find the area of a triangle is the following:

[tex]A_t=\frac{b*h}{2}[/tex]

Where (b) is the base of the figure, and (h) is the figure's height. Since there is only one type of triangular face, one only has to find the area of one triangular face and then multiply its measurement by four.

Triangle 1

[tex]A_t=\frac{b*h}{2}[/tex]

[tex]A_t=\frac{11*10.5}{2}[/tex]

[tex]A_1=\frac{115.5}{2}[/tex]

[tex]A_t=57.75[/tex]

3. Finding the area of the quadrilateral

The following formula can be used to find the area of a quadrilateral:

[tex]A_q=b*h[/tex]

Substitute the dimensions of the quadrilateral in and solve for its area:

[tex]A_q=b*h[/tex]

[tex]A_q=11*11[/tex]

[tex]A_q=121[/tex]

4. Find the total surface area of the figure

To find the total surface area of the figure, add up all of the area values of its faces. Remember the area of the triangular face is multiplied by four because there are four triangular faces.

[tex]4(A_t)+(A_q)=A[/tex]

[tex]4(57.75)+121=A[/tex]

[tex]231+121=A[/tex]

[tex]352=A[/tex]

Answer:

C

Step-by-step explanation:

The graph on the left is a closed circle at x=2, and the graph is only extending to lower values so it will only apply when x ≤ 2

The only piecewise functions that include x ≤ 2 are A and C

But the y intercept of the graph is at 2, so C is the only answer

9514 1404 393

Answer:

  $1295.35

Step-by-step explanation:

The compound interest formula can be used to find the account balance.

  A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years

  A = $600(1 +0.08)^10 ≈ $1295.35

You will have $1295.35 in the account in 10 years.

Answer:

The x intercepts are 2, -4

The y intercept is -8

The minimum is -9

Step-by-step explanation:

f(x)=x^2+2x-8

To find the x intercepts, set equal to zero and factor

0 =x^2+2x-8

0 = (x+4)(x-2)

Using the zero product property

0 = x+4    0 = x-2

x = -4        x = 2

The x intercepts are 2, -4

To find the y intercepts, set x =0 and solve for y

y = 0^2 +2(0) -8

y = -8

The y intercept is -8

Since the coefficient of the x^2 is positive, the parabola opens up so we have a minimum.

The vertex is  halfway between the x intercepts

(-4+2)/2 = -2/2 = -1

To find the minimum substitute x= -1 into the equation

f(x)=x^2+2x-8

f(-1) = (-1)^2 +2(-1)-8 = 1-2-8 = -9

The minimum is -9

Graph attached

x intercepts (-4,0) and (2,0)

Y intercept :-

Put x=0

(0,-8)

Vertex is the minimum

9514 1404 393

Answer:

Step-by-step explanation:

The expression written here is interpreted according to the Order of Operations as ...

  8x -(5/6)x

This reduces to (7 1/6)x, which is defined for all real numbers.

__

Maybe you intended the expression ...

  (8x -5)/(6x)

This expression is undefined where its denominator is zero, at x = 0.

Answer:

The answer is 890 . ...... :D

Answer: