Please help me ill give you the crown thing if its right no joke

Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by t

Mandarinka [93]

Answer:

The standard form of the equation is 49t² - 75t + 3 = 0

The solution of the equations are 1.49 and 0.041

Step-by-step explanation:

* Lets explain how to solve the problem

- The standard form of the quadratic equation is ax² + bx + c = 0,

where a , b , c are constant and a can not be 0

∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1

- Lets make the left hand side equal to 0

∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides

∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10

∴ 49t² - 75t + 3 = 0

* The standard form of the equation is 49t² - 75t + 3 = 0

∵ ax² + bx + c = 0

∴ a = 49 , b = -75 , c = 3

- Lets use the formula $x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$ to solve

the equation

∴ $x=\frac{-(-75)+\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=1.49$

∴ $x=\frac{-(-75)-\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=0.041$

* The solution of the equations are 1.49 and 0.041

6 0

3 years ago

You buy 3.17 pounds of apples, 1.25 pounds of pears, and 2.56 pounds of oranges. What is your total bill rounded to nearest cent

Mazyrski [523]

$6.98 is answer but the answer that is rounded is $7.00

5 0

3 years ago

Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that appl

andriy [413]

Answer:

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

Step-by-step explanation:

The slope intercept form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (y at x = 0)

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The line is passing through points (5 , 6) and (4 , 8)

∴ $x_{1}$ = 5 and $x_{2}$ = 4

∴ $y_{1}$ = 6 and $y_{2}$ = 8

- Substitute them in the formula of the slope to find it

∵ $m=\frac{8-6}{4-5}=\frac{2}{-1}$

∴ m = -2

- Substitute it in the form of the equation

∴ y = -2 x + b

- To find b substitute x and y in the equation by the coordinates

of any point in the line

∵ x = 5 and y = 6

∴ 6 = -2(5) + b

∴ 6 = -10 + b

- Add 10 to both sides

∴ 16 = b

∴ y = -2 x + 16

∴ The equation of the line is y = -2x + 16

∴ A represents the equation of the line

∵ 2x + y = 16

- Subtract 2x from both sides

∴ y = -2x + 16

∴ D represents the equation of the line

∵ y - 6 = -2(x - 5)

∴ y - 6 = -2x + 10

- Add 6 to both sides

∴ y = -2x + 16

∴ E represents the equation of the line

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

7 0

3 years ago

What is 82,694 +3899

andrew11 [14]

Answer:

86, 593

Step-by-step explanation:

1 1 1

8 2 6 9 4

+ 3 8 9 9

_____________

8 6 5 9 3

5 0

4 years ago

there were twenty one adults in line at a movie theater.That is three times the number of children in line. how many children we

V125BC [204]

You would do 21 divided by 3 and get 7.

The answer is 7 kids are in the line.

Please vote my answer the brainiest if it was helpful!!

7 0

3 years ago