The equation y = -4.9x^2 + 9.8x + 2 models the trajectory of a ball thrown in the air by a man, where y = the distance the ball is from the ground in meters and x = the elapsed time in seconds. What is the greatest distance the ball is from the ground?

a) 2.2 meters
b) 9.8 meters
c) 6.9 meters
d) 4.9 meters

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

a. w = -4m + 260

b. 10 months

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 0.129

Step-by-step explanation:

Coach Collin's soccer team selected 16 girls from 124 girls who tried out for the team.

The fraction of girls selected to those who tried out in fraction form is:

= 16/124

The decimal form will be:

= 16 ÷ 124

= 0.129

Step-by-step explanation:

12,0,-12

[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]

Answer:

Step-by-step explanation:

OA.

y = -4.50 + 6.25

OB.

I = 4.5

OC.

y = 6.25

OD.

y

= -4.5

Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer:

x = -3 2/3

Step-by-step explanation:

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

Answer:

I think the percent of change would be 850000%,

Step-by-step explanation:

You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.

Answer:

30centimeters

Step-by-step explanation:

1.25x

12*2=24months in 2 years

1.25(24)=30cen

Answer:

a strand of hair will grow 30cm in two years

Step-by-step explanation:

I hope this helps!

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

Answer: C. ∠5 and ∠6

Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

Hope this helped!

Answer:

y= -2/3x+3

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts.

y=-2/3x is your original equation

Your slope is still -2/3

y=mx+b

y=-2/3x + b

Substitute the points from the coordinates

5 = -2/3(-3) + b

5 = 2 + b

-2   -2

b=3

Your parallel line equation is: y= -2/3x+3

Have a great day!

Answer:

12 and 18

Step-by-step explanation: since i helped can i have brainlist please :D

Answer:

y=7x-8

Step-by-step explanation:

y=mx+b........slope-intercept form

where m=slope,b=y-intercept

y=7x-8

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Answer:

it's 70°

Step-by-step explanation:

well first by vertical angles we know that

[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)

and given we know that

[tex]\angle EAF = \angle EAD = 4x+6[/tex]

solving for x

we know that

[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]

and now for [tex]\angle EAF[/tex]

[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]

Answer:

As a decimal its 6.34, If you round up then its 6.35

As a fraction its 400/63

As a mixed number its  6 22/63

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!