the ansewr is x=3 and y=0
Answer:
32
Step-by-step explanation:
As per what is given
- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)
- equals 100, the equation formed equals 100
Form an equation;
4(x - 7) = 100
Solve using inverse operations;
4(x - 7) = 100
/4 /4
x - 7 = 25
+7 +7
x = 32
Answer: 15 + 53/77
Step-by-step explanation:
Multiplying a fraction by 1 does not change the value.
Any number divided by itself is 1.
For instance, 11/11 = 7/7 = 1.
12 + 1/7 + 3 + 6/11 = 15 + 1/7 + 6/11
= 15 + (11×1)/(11×7) + (7×6)/(7×11)
= 15 + 11/77 + (6×7)/77
= 15 + (11 + 6×7)/77
= 15 + 53/77
It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.
72:3=24
24-1=23
24+1=25
23+24+25=72
23 is the smallest
On your calculator, make sure you're in radian mode, not degree mode, that you are in a trig coordinate plane (do this by hitting "zoom" and choosing ZTrig), and when you enter the function into the "y =", you have to enter it in like this: 7cos(2x)-3. Hit "graph" and you'll see that the wave goes through the x-axis in 4 places within your specified interval. Hit 2nd and "trace" and then "zero". Move your cursor so it's just above the x-axis where the curve goes through and hit enter, then move it so it's just below the x-axis where the curve goes through and hit enter again. Hit enter a 3rd time, and you SHOULD see that your x has a value while y = 0. Do that for all of the places where the curve goes through the x-axis. That's how you find the zeros of a trig curve (or any curve, for that matter) on a calculator. The zeros are the solutions. If this was solvable like a regular equation, using trig identities and right triangles, you wouldn't have to use your calculator. But just like when you go to factor a second degree polynomial and you're having trouble with it you can use the quadratic formula and it's never-fail, neither is your calculator.
