Answer:
y=4x-7 3(4x-7)-21x=-21 12x-21-12x=-21 -21=-21
Step-by-step explanation:
Slope, found using the points is -55/11 = -5
We use that for the equation y=mx+b where m=-5. Since we also know one of the points, we can plug that in and find b
-12=-5(4)+b
-12=-20+b
8=b
So the equation of the line is y=-5x+8
If you add the standard deviation to the average, it is 14.84. Because Marcus's score was lower than that, he will not receive a certificate.
I think this should be right for the reason and the calculation.
When you multiply a base with an exponent by a base with an exponent, you add the exponents together. (But you can only combine the exponents when the bases are the same)
For example:
(they have the same base of x)
(you can't combine the exponents because they have different bases of y and x)
When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.
For example:
or
or
Add the exponents together
Make the exponent positive
Simplify
Answer:
7/6
Step-by-step explanation:
Firstly we have to distribute it and write in this form
1/4*12x-1/4*5.6=0.5*3x+0.5*0.7
3x-1.4=1.5x+0.35 ( now that we have multiplied and simplified it we will combine like terms remember whenever you move it to the other side of equal signs it turns the opposite of the sign value eg positive to negative.
subtract 0.35 from both sides leaving the equations as 3x-1.75=1.5x
now we move 3x on other side to combine with 1.5x and 3x becomes negative
-1.75=1.5x-3x
-1.75= -1.5x (divide -1.5 from both sides
-1.75/-1.5=1.5x/-1.5
1.166666666666667=x
or 7/6 if you left the fraction as it is and didn't simplify further.
Let me know if you don't understand or need more help .