Add hyphens where needed in these sentences.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

The director told us that there would be room for only two bus-loads, or eighty-four people.

The play was going to be in an old-fashioned theater.

Step-by-step explanation:

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Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x < 2 a

marysya [2.9K]

We want to solve the inequalities
x < 2
y ≤ 4x + 1

<span>Graph </span>the lines:
x = 2
y = 4x +1

The solution to the system of inequalities is the shaded region shown in the graph below.

Test the given points to see whether they fall within the solution region.

Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail

Answer: (=3, -15)

4 0

3 years ago

A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65m/s in 5 seconds what

artcher [175]

The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.

These "changes" are indicated with the capital greek letter delta, $\Delta$ , and when you write $\Delta x$ you mean the difference between the finial and the inital values of the variable x:

$\Delta x = x_{\text{fin}} - x_{\text{init}}$

So, the acceleration is defined as

$a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}$

In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have

$a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6$ m/s^2