What is the distance between the points

Given f(x) = 2x - 7, complete parts (a) through (c).

neonofarm [45]

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

6 0

3 years ago

I NEED HELP ASAP, THAK YOU IN ADVANCED

german

1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

2A. If Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

If Sheryl works 9 hours she will make approximately 117 currency.

Step-by-step explanation:

Step 1:

To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when $x =6.5$ .

When $x =6.5$ , the line falls on $y = 85.$

So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

Step 2:

The two points on the graph are at (0, 0) and (1, 13).

This means that if Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

These two statements explain the two points on the graph.

Step 3:

To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.

If she earns approximately 13 currency an hour, her wage is $y = 13x$ , where x is the number of hours worked and y is the wage.

When $x =9$ , $y = 9(13) = 117.$

So if Sheryl works 9 hours she will make approximately 117 currency.

5 0

4 years ago

In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours

r-ruslan [8.4K]

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

6 0

3 years ago

A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r

svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, $h^2 + b^2 = 16^2 = 256 \dotsc\;(1)$ because it is a right angle triangle.

It is given that $\frac{db}{dt} = 1$

Now differentiate (1) with respect to t (time) :

$\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}$

$\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}$

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that $16 \sin{\theta} = b$ . When b = 8, then $\theta = \arcsin{0.5} = \ang{30}$ .

Differentiate the above equation w.r.t t

$\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}$