Answer:
False
Step-by-step explanation:
the domain is the set of numbers you can plug in, and the range is what comes out
4 is shown in both ovals, but we see that there is no arrow pointing from the left oval to the 4 in the right oval, meaning that no value in interval [1,5] has a value of 4.
Answer:
168 km
Step-by-step explanation:
Let x represent the distance Tyler drives at the slower speed, and let y represent the distance at the higher speed. Using time = distance/speed, we can write equations for the total travel time:
x/42 +y/105 = 2.5
x/28 +y/60 = 4.0 . . . . . 1.5 hours more than the usual 2.5 hours
Multiplying the first equation by 210, we have ...
5x +2y = 525
Multiplying the second equation by 420, we get ...
15x +7y = 1680
Subtracting 3 times the first of these equations from the second, we have ...
(15x +7y) -3(5x +2y) = (1680) -3(525)
y = 105
Putting this into the very first equation, we get ...
x/42 + 105/105 = 2.5
x/42 = 1.5 . . . . . . subtract 1
x = 63 . . . . . . . . .multiply by 42.
The total distance to Tyler's parents' house is ...
63 km + 105 km = 168 km
Answer:
.094
Step-by-step explanation:
Long division is really annoying, so here we go. Have it written on your paper and follow along.
When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!
Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
<h3>
</h3>
<u>To solve first take logarithm to both sides</u>
That's
<h3>
</h3><h3 /><h3>
</h3>
But
<h3>
</h3>
So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3>
</h3>
<u>Using the rules of logarithms</u>
That's
<h3>
</h3>
Rewrite the expression
That's
<h3>
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</h3><h3>
</h3><h3>
</h3><h3 /><h3>
</h3>
x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
