Answer:
Hi! The answer is 
Step-by-step explanation:
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The inequality would be
0.75q ≥ 0.70(q+1)
q is defined as the number of questions he answers after the first one. We are told he gets 75% of those correct; 75%=75/100=0.75. This gives us 0.75q.
Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%. This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.
He has already answered 1 question and answers q more; this gives us a total of q+1. Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70. This gives us the expression 0.70(q+1).
Our total inequality would then be 0.75q ≥ 0.70(q+1)
For the X intercept you set y = 0 and solve for x
Y =
x + 9
0=
x + 9 subtract 9 from both sides
-9 =
divide both sides by 3
-3 = -8x divide both sides by -8
= x
X-intercept = (
, 0)
Answer:
x = 7.55
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 +8^2 = 11^2
x^2 +64 = 121
Subtract 64 from each side
x^2 +64-64 = 121-64
x^2 =57
Take the square root of each side
sqrt(x^2) = sqrt(57)
x = 7.549834435
To the nearest hundredth
x = 7.55
