-1.5 ------ f(x) = 3(-1.5) - 5
= -4.5 -5
= 9.5
2 -------- f(x) = 3(2) - 5
= 6 -5
= 1
4 -------- f(x) = 3(4) - 5
= 12 - 5
= 7
(9.5, 1 , 7)
<span><span><span><span>3/4</span>x</span>+11 </span>< <span><span>0.3x</span>+<span>3/4
</span></span></span>First turn 3/4 from both sides to decimals to get..
.75x+11 < 0.3x+.75
And then subtract 0.3x from both sides to get
.45x+11 < .75
And then subtract 11 from both sides to get
.45x < -10.25
And then divide both sides by .45x to get
x < -22.77777778
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
Answer:
The student will have 130 dollars in the bank at the end of week 11.
Step-by-step explanation:
Pattern:
The pattern given by this graphic is that:
For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:
At the end of 6 weeks, he will have $80.
At the end of 7 weeks, he will have $90.
At the end of 8 weeks, he will have $100.
At the end of 9 weeks, he will have $110.
At the end of 10 weeks, he will have $120.
At the end of 11 weeks, he will have $130.
The student will have 130 dollars in the bank at the end of week 11.
