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2 years ago

2

Mathematics

1 answer:

OLga [1]2 years ago

6 0

Answer:

Express into algebraic form

Step-by-step explanation:

10 + 6x = 4x - 4

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Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

2 years ago

Y-3=-3y-43 how would i solve?

frez [133]

Answer: y−3=−3y−43

Step 1: Add 3y to both sides.

y−3+3y=−3y−43+3y

4y−3=−43

Step 2: Add 3 to both sides.

4y−3+3=−43+3

4y=−40

Step 3: Divide both sides by 4.

−40

y=−10

Answer:

y=−10

Step-by-step explanation: brainliest:)

7 0

3 years ago

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

d1i1m1o1n [39]

Answer:

The following points are not arranged in a parallelogram or rectangle order.

Step-by-step explanation:

Well first we need to graph the following.

A(1,1) B(2,2) C(3,3) D(4,4)

By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.

It is a line with a slope of 1 or x.

8 0

2 years ago

Rewrite in simplest terms -6(-7u+6)+2u

Vaselesa [24]

Answer:

44u-36

Step-by-step explanation:

42u-36+2u

44u-36

3 0

2 years ago

Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.

Sergio [31]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2

y= 3 x-2

x= 3y - 2

3 y -2 = x

3 y -2 + 2 = x + 2

3 y = x + 2

3 3 3

3 y = x + 2

3 3 3

y = x + 2 replace y with f ^ -1(x)

3 3

f ^-1 (x) = x + 2

3 3

4 0

2 years ago