Answer:
The expression 5(4x - 7) + 3(3x + 3) can be simplified to 29x - 26
Step-by-step explanation:
The first step in solving this is to apply coefficients to the contents of the brackets:
5(4x - 7) + 3(3x + 3)
= 5 × 4x - 5 × 7 + 3 × 3x + 3 × 3
= 20x - 35 + 9x + 9
Now you can group like terms:
20x - 35 + 9x + 9
= 20x + 9x - 35 + 9
= (20 + 9)x - 26
= 29x - 26
And that is the final answer.
Answer:
y = 8x + 8
Step-by-step explanation:
The y-intercept is already given so we have our b = 8 so y = mx + b becomes y = mx + 8. Now we need to figure out the slope so looking at the chart I need to figure out what number when multiplied by the x value and added to b equals the y value. The answer is 8 because when we multiply it by 1 and add it to 8 we are left with 16, which supports the chart. The equation in slope intercept form is now y = 8x + 8
Answer:
For #5 all you have to do is set down to points in order for it to count. The answer is: (0,2) and (3,6)
Step-by-step explanation:
In order to find where exactly you must plot the points, we plug in what we know. In our equation, the 2 is our y intercept, this means that the point is (0,2) (Side Note: here's another example, (0,6) the 6 would be our y intercept)
From the point (0,2) we use the other value given. The other value given in this case, is our slope. When dealing with slope, we use Rise over Run or Rise/Run. This means that from the 2 on the graph, you rise 3 which would be 5 and you run to the right for 4. This now gets you the points (3,6)
Hope this helps with plotting the other questions! :)
(SIDE NOTE: IF THEY GIVE THE VALUE WITH X AS JUST A NUMBER, YOU CAN PLACE A 1 UNDER IT TO TURN IT INTO A FRACTION. FOR EXAMPLE 3X CAN BE TURNED INTO 3/1 WHICH WOULD THEN BE RISE 3 AND RUN 1.
(sooory about the caps, it's just to get your attention.)
Answer:
Step-by-step explanation:
<u>Step 1: Find the hypotenuse</u>
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Answer:
Notice that
This means you are looking for
Chebyshev's theorem states that for any constant
,
which means
In other words, at least 75% of the geysers will have eruptions lasting between 1.67 and 5.95 minutes. Out of 32 geysers, then, one can expect at least 24 of them to have eruptions with between these durations.
