The x-intercept of a function is the point where it crosses the x-axis.
The x-intercept of g(x)=log(x + 4) is -3
<h3>How to determine the x-intercept</h3>
We have:
f(x) = log(x)
Rewrite as:
y = log(x)
Apply the exponent rule

Set y to 0

Given that f(x) is shifted 4 units left to get g(x).
The x-intercept of g(x) is then calculated as:


Hence, the x-intercept of g(x)=log(x + 4) is -3
Read more about intercepts at:
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Answer:
a) Ans: 8.5 miles per hour
b) Ans: 46.75 miles
Step-by-step explanation:
a) Speed = Distance/Time
8.5/1h = 8.5 miles per hour
b) Distance = Speed x Time
8.5 miles per hour x 5.5h = 46.75 miles
Answer:
The standard error for the sampling distribution is 1.323.
Step-by-step explanation:
Let <em>X</em> = scores of girls and <em>Y</em> = scores of boys.
The information provided is:

As the population standard deviations are not known, use a pooled standard deviation to estimate the standard error of the sampling distribution.
The formula of pooled standard deviation is:

Compute the standard error for the sampling distribution as follows:

Thus, the standard error for the sampling distribution is 1.323.
.75 mi/minute
45/60=.75
.75 miles every minute
there are 3960 feet per minute.
You could also times 45 by 5280, since there are 5280 feet in a mile, and you would get 237,600. You would then divide it by 60, and still end up with 3960 feet per minute.
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Answer:
- x = 4 is the only real zero
Step-by-step explanation:
<u>Find the zero's of f(x)</u>
- 2x³ - 12x² + 20x - 16 = 0
- x³ - 6x² + 10x - 8 = 0
- x³ - 4x² - 2x² + 8x + 2x - 8 = 0
- x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0
- (x - 4)(x² - 2x + 2) = 0
- (x - 4)(x² - 2x + 1 + 1) = 0
- (x - 4)[(x - 1)² + 1] = 0
- x - 4 = 0 ⇒ x = 4, we already know this
- (x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative