Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:
First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)
Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.
Substitute (2) into (1).
4x + 5(3x+9) = 7
Expand.
4x + 15x + 45 = 7
Group.
19x + 45 = 7
Shift +45 to the other side and turn it into -45.
19x = 7 - 45
19x = -38
Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2
Now we solved x already, we can just substitute x= - 2 back to equation (2).
y = 3(-2) + 9
y = - 6 + 9
y = 3
So, the answers are
x = - 2
y = 3
Answer:
23/50, 0.46, and 46%
Step-by-step explanation:
This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.
Split up the interval [2, 5] into
equally spaced subintervals, then consider the value of
at the right endpoint of each subinterval.
The length of the interval is
, so the length of each subinterval would be
. This means the first rectangle's height would be taken to be
when
, so that the height is
, and its base would have length
. So the area under
over the first subinterval is
.
Continuing in this fashion, the area under
over the
th subinterval is approximated by
, and so the Riemann approximation to the definite integral is
and its value is given exactly by taking
. So the answer is D (and the value of the integral is exactly 39).
<span>d.Hector cannot afford to see the sumo tournament, because it would put him over budget by almost $12.
</span><span>
<span>
</span><span><span>
Exchange rate <span> $
1.00 </span>
<span> ¥
94.153 </span>Balance:
</span>
<span>
Beginning Balance:
<span> $ 575.00 </span><span> ¥ 54,137.98
</span>
</span>
<span>
Kabuki performance
<span> $ 74.95 </span>
<span> ¥ 7,056.77 </span><span> ¥ 47,081.21
</span>
</span>
<span>
Kaiseki dinner
<span> ¥ 8,745.00 </span>
<span> ¥ 38,336.21
</span>
</span>
<span>
Shopping
<span> $ 262.49 </span>
<span> ¥ 24,714.22 </span>
<span> ¥ 13,621.99
</span>
</span>
<span>
Onsen visit
<span> ¥ 6,811.00 </span>
<span> ¥ 6,810.99
</span>
</span>
<span>
Museum visit <span> ¥ 2,423.00 </span>
<span> ¥ 4,387.99
</span>
</span>
<span>
</span>
<span>
Sumo Tournament
<span> ¥ 5,488.00 </span>
<span> ¥ -1,100.01
1,100.01 / 94.153 = $11.68 rounded up to $12. </span></span></span></span>
Answer:
The Answer is: The slope is -1, so any line with the same slope is parallel.
Step-by-step explanation:
Given points (2, -7) and (4, -9) find the slope, m:
m = y - y1 / (x - x1)
m = -7 - (-9)/(2 - 4)
m = -7 + 9/-2
m = 2/-2
m = -1
A parallel line is any line with the same slope which is -1.
Hope this helps! Have an Awesome day!! :-)
