In this question, you're solving the inequality for x.
Solve:
-1/3(6x - 15) + 6x > 8x - 11
Distribute the -1/3 to the variables in the parenthesis.
-2x + 5 + 6x > 8x - 11
Combine like terms
4x + 5 > 8x - 11
Subtract 8x from both sides
-4x + 5 > - 11
Subtract 5 from both sides
-4x > -16
Divide both sides by -4, while also flipping the inequality, since you're dividing by a negative.
x < 4
Answer:
x < 4
Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
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<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
78 gallons is the same as 312 quarts
We are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
First, we know that b must be -1 because the line hits the y-axis when y is -1
So this leaves us with either the first or second choice
Then we choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
So then we know the answer is y=3x-1
Hope this helps
The company's current ratio is 2.6.
<h3>
What is the current ratio?</h3>
Current ratio is an example of a liquidity ratio. Liquidity ratios are financial ratios measure a firm's ability to honour its short terms obligations.
Current ratio = current asset /current liability
$65,000 / 25,000 = 2.6
To learn more about current ratio, please check: brainly.com/question/19579866
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