If g(x) = x2 – 4, then what is g(-4)?
0 -20
0 -8
O 12
O 20

Given:

The height of ball is represented by the equation is

[tex]h=-16t^2+6t+4[/tex]

To find:

The time taken by ball to hit the ground.

Solution:

First we need to find the zeroes of the given equation. So, for zeroes h=0.

[tex]-16t^2+6t+4=0[/tex]

Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get

[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]

[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]

[tex]t=0.7215,-0.3465[/tex]

Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is

[tex]t=0.7215-0[/tex]

[tex]t=0.7215[/tex]

Round your answer to the nearest hundredth.

[tex]t\approx 0.72[/tex]

So, the ball will hit the ground after 0.72 seconds.

Therefore, the correct option is A.

Answer:

0.72

Step-by-step explanation:

I took the quiz

Answer:

C

Step-by-step explanation:

C because that is the only one that passes through coordinates 1, -1

Answer:

C

Step-by-step explanation:

That's what I think it is.

Answer:

I think C i could be wrong tho

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

(3/4) times 5 equals 3.75

Answer:

first one is 135xy^2-30xy

the second one is 4x^3(x^2-2x-1)

Step-by-step explanation:

You can't simplify it any more than it is right now.

Answer:

n = bx/a + 6

Step-by-step explanation:

Answer:

7 quarts

Step-by-step explanation:

We can solve this problem by using the rule of three. As seen in the picture below we need to find the X. We do this by multiplying 161 sq. ft. diagonally by 3 quarts and then dividing by 120 sq. ft. This will give us the number of quarts needed for the kitchen wall. Then we simply repeat the process for the bathroom wall and we are done. Like so ...

[tex]\frac{161 sq. ft. * 3 quarts}{120 sq. ft.} = x[/tex]

[tex]4.025 quarts = x[/tex]

[tex]\frac{119sq. ft. * 3 quarts}{120 sq. ft} = x[/tex]

[tex]2.975 quarts = x[/tex]

Therefore we need 4.025 quarts for the kitchen wall and 2.975 quarts for the bathroom wall ... making that a total of 7 quarts.

Answer:

Interesting.... Didnt know that fact

Answer:

Interesting.....

Depends what kind of Bananas

Step-by-step explanation:

idek

9514 1404 393

Answer:

  £562.42

Step-by-step explanation:

Payments on a loan of P at rate r for n months can be found from ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

For r = .07 and n = 12, the payments on a £6500 loan will be ...

  A = £6500(.07/12)/(1 -(1 +.07/12)^-12) = £562.42

Andy will pay £562.42 each month.

Answer:

562.42 pm

Step-by-step explanation:

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

Total scoop contained in detergent box = 195 scoops.

Scoops used by each load of laundry =  scoops = 2.5 scoops

Number of laundry he can do with this box = 195/2.5 = 78 laundries.

Price of detergent box = 19.99 $

Price he paying for each load = Total price/ Number of loads

                                                  = 19.99/78

                                                  = 0.256 $

The answer is 3,162

I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162

Answer:

40%

Step-by-step explanation:

subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)

=0.4 ; 40%

Answer:

11 = x

Step-by-step explanation:

58+5x+10 = 11x+2

68+5x = 11x+2

    -5x = -5x

68 = 6x+2

-2          -2

66 = 6x

66/6 = 6x/6

11 = x

Hope this helps!

Answer:

x = 11

Step-by-step explanation:

58 + 5x + 10 = 11x + 2

First, combine like terms

68 + 5x = 11x + 2

Subtract 5x from both sides of the equation

68 = 6x + 2

Subtract 2 from both sides of the equatino

66 = 6x

Divide both sides by six to get your answer

11 = x

I hope this helps :)

Answer:

B obtuse scalene.

Step-by-step explanation:

OPQ and QPO

it cant be just Q because Q is in every angle

Step-by-step explanation:

Hey there!

Given;

-1b - 8 > -7

Take '-8' to right side.

-1b > -7+8

-1b > 1

b > -1

Hope it helps...

Answer:

50% increase

hope this helped

Answer:−30s10−5x

Step-by-step explanation:

Answer:

[tex]25.89=15.19+2x[/tex]

[tex]x=5.35[/tex]

I hope this helps!

X=1, if thats what you want.

Answer:

Step-by-step explanation:

I think d but mabye not

Answer:

m = 0, y = -6

Step-by-step explanation:

using point slope form :

[tex]y - y_{1} = m(x - x_{1})[/tex]

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

Answer:

f (x) = 0

Step-by-step explanation:

since f of x is equal to 0 then when times by 7 and 5 it will be 0

I hope my answer can help you.

Answer:

16.95

Step-by-step explanation:

Step 1:

y = mx + b       Slope Intercept Form

Step 2:

m = Slope

Step 3:

16.95x + 4.75      Equation

Answer:

16.95

Hope This Helps :)

Answer:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Given: A line is drawn between points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]

To find: distance between the two points

Solution:

A coordinate plane is a two-dimensional plane formed by the intersection of a  y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.

Let d denotes distance between the two points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]

Use the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The distance between the two points show on the coordinate plane is D = √[(x₂-x₁)²+(y₂-y₁)²]. Therefore, the correct answer is option C.

The given coordinate points are (x₁, y₁) and (x₂, y₂).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is

Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Therefore, the correct answer is option C.

To learn more about the distance formula visit:

brainly.com/question/27262878.

#SPJ6

Answer:

K

Step-by-step explanation:

TGS ≅ KEL

This means angle T ≅ angle K

This means angle G ≅ angle E

This means angle S ≅ angle L

Hello.

If ΔTGS ≅ ΔKEL, then angle ∠T corresponds to ∠K.

∠T ≅ ∠K

∠G ≅ ∠E

∠S ≅ ∠L

Answer:

x = 4f/nz

Step-by-step explanation:

nxz - f = 3f  solve for x

    nxz =  3f+f

Factor of nxz is x(nz)

  x(nz) = 3f+f

  x(nz) = 4f

MUltiply both side with 1/nz and you get

 x =  4f/nz