Answer:
x=8
Step-by-step explanation:
both sides are even and parallel.
For 2a, we plug 3 in to get (4*3+3)/(3^2-7)=15/2. Since 2 is a prime number and 15 is not divisible by 2, this is simplest form. For b, using PEMDAS, division goes before addition or subtraction and 3/3^3 would therefore be done and you could not add 4*3 beforehand (or subtract 7).
For 4a, we plug it in to get sqrt(25-(-3)^2)=sqrt(25-9)=sqrt(16)=4
For b, since 13^2=169 and 25-169 is negative, we cannot find the square root due to that nothing squared is negative.
Answer:
B
Step-by-step explanation:
y = 6x + 3 Step-by-step explanation:Givenx = {5, 6, 7, 8, 9}
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Answer:
60%
Step-by-step explanation:
If I get you right, you're asking for the percentage gain to the nearest percentage, right?
Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.
Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.
I.e 5.62/9.38 × 100%.
That gives 59.9% , which equals 60% when approximated to the nearest percentage.