Answer:
= 94
Step-by-step explanation:
To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2. The answer is £110 x 1.2 = £132.
so to workout an increase of 9% followed by 3% we would do:
9% - 3% = 6%. convert = 0.06 = 100-6 = 94 converted into 0.94 x 100 = 94
First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
We have the following equation:
3x2 + 7x + 4 = 0
Using the resolver we have:
x = (- b +/- root (b2 - 4ac)) / 2a
Substituting values we have:
x = (- (7) +/- root ((7) 2 - 4 (3) (4))) / 2 (3)
Rewriting:
x = (- 7 +/- root (49 - 48)) / 6
x = (- 7 +/- root (1)) / 6
x = (- 7 +/- 1) / 6
The results are:
x = (- 7 + 1) / 6 = -6/6 = -1
x = (- 7 - 1) / 6 = -8 / 6 = -4/3
Answer:
x = -1
x = -4/3
option C and D
Answer:
C
Step-by-step explanation:
In order to write the equation, you need to identify the slope and y-intercept.
1) the y intercept is what y is when x=0. According to the table, it is -2.
2) the slope is the change in the y values over the change in the x values. Notice that the y values are increasing by one for every increase in 1 in the x values, so the slope is 1/1 or 1.
3) we can then put those values into slope-intercept form which is y=mx+b where m is the slope and b is the intercept.
4) so the equation is y=(1)x-2 or y=x-2 (they are the same)
Answer:
x = -2.32, 10.32 to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x - 24 = 0
x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2
= 4 +/- sqrt160/2
= 4 +/- 6.3245
= -2.32, 10.32.
