Solve the system x-y=5 and 4x-5y+17

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

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Mr.Jack have $128.The man give $22 back. Mr. Jack now have $106.How many the man have now?

damaskus [11]

Amount of money Mr Jack had:- $128
amount of money the man gave back:- $22
amount of money Mr Jack have now :- $106
amount of money the man has now :- 128 - 22
= 128 - 106
= 22

Answer :- $22

8 0

3 years ago

A person standing close to the edge on top of a 24-foot building throws a ball vertically upward. The quadratic function h(t)=−1

Nutka1998 [239]

Answer:

a) maximum height is 156.25 ft

b) 6 seconds

Step-by-step explanation:

a) The maximum height can be found by finding the y-coordinate of the vertex. The vertex is the highest point in a parabola opened downward.

I start with by finding the t-coordinate of the vertex.

The t-coordinate of the vertex is $\frac{-b}{2a}$ where the expression $-16t^2+92t+24$ will need to be compared to $at^2+bt+c$ .

We see that $a=-16,b=92,c=24$ .

So the t-coordinate of the vertex is $\frac{-b}{2a}=\frac{-92}{2(-16)}=\frac{-92}{-32}=\frac{23}{8}$ .

We can find the h, the height, that corresponds to this t by using the equation $h=-16t^2+92t+24$ where $t=\frac{23}{8}$ .

So inserting 23/8 for $t$ .

$-16(23/8)^2+92(23/8)+24$

Plugging into calculator gives you 625/4.

So the maximum height is 625/4 or 156.25.

b) Let's find how long it takes the ball to hit the ground. If the ball is on the ground, then the distance between the ball and the ground is 0. So we are looking to solve h(t)=0 for t.

So this is equation we are solving for t:

$-16t^2+92t+24=0$