Answer:
Step-by-step explanation:
x-intercept -> when y = 0
f(x) x-intercept -> (1 , 0)
g(x) x-intercept -> (-1 , 0)
y-intercept -> when x = 0
f(x) y-intercept -> (0 , -1)
g(x) y-intercept -> (0 , 1)
The x-intercept of f(x) is greater than the x-intercept of g(x)
The y-intercept of g(x) is greater than the y-intercept of f(x)
So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)
Answer:
5
Step-by-step explanation:
sum the parts of the ratio, 3 + 4 = 7 parts
Divide the number of students by 7 to find the value of one part of the ratio
35 ÷ 7 = 5 ← value of 1 part of the ratio, then
3 parts 3 × 5 = 15 ← number of boys
4 parts = 4 × 5 = 20 ← number of girls
20 - 15 = 5
There are 5 more girls than boys
Answer:
m∠ABC=42°
Step-by-step explanation:
m∠ABD=70°
⇒m∠ABD=m∠ABC+m∠CBD
⇒70°=(3x+33°)+(5x+13°)
70°=8x+46°
70°-46°=8x
24°=8x⇒x=3°
x=3°
Then,
m∠ABC=3x+33°
put x=3°, we get
m∠ABC=3×3°+33°=9°+33°
m∠ABC=42°
When you multiply two numbers in exponential notation whose bases are the same, you just keep the base the same and add the exponents.
In this case, you have (2^6) * (2^6) = 2^(6 + 6) = 2^12.
We can change the base of 4^6 into 2:
(2^2)^6
Is this the same as 2^12? Well, when we have an expression like that above, we multiply the exponents together, so we get: (2^2)^6 = 2^12.
Therefore, Nicholas is correct.
Answer:
The answer to your question is 5 weeks
Step-by-step explanation:
Data
Ryan Miles
$150 $50
each week = $40 each week = $60
x = savings
y = time in weeks
Process
1.- Write an equation for Ryan savings
x = 40y + 150
2.- Write an equation for Miles savings
x = 60y + 50
3.- Solve the system by Equality
40y + 150 = 60y + 50
- Solve for y
40y - 60y = 50 - 150
-20y = -100
y = -100 / -20
y = 5
4.- Conclusion
After 5 weeks, they will have the same amount of money.
