The answer is: [B]: " -10a + 6b² − 4b + 3 " .
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Explanation:
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Given:
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-2(5a − 3b²) − 4b + 3 ;
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"Use the distributive property [of multiplication] to expand the expression."
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Note the distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
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So, we have: " -2(5a − 3b²) − 4b + 3 " ;
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Start with: " -2(5a − 3b²) " ;
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-2(5a − 3b²) = (-2*5a) − (-2*3b²) = (-10a) − (-6b²)
= -10a + 6b²
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→ Now, bring down the rest of the problem;
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-10a + 6b² − 4b + 3 ; which is: Answer choice: [B].
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Answer:
The line has a slope of -1.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like 
, but in terms of finding a slope, it looks like 
.
For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.
Next, plug in the information given from the question into the formula, and the formula will look like 
. Then, simplify the equation, which will look like 
. The final answer will be -1.
Answer:
160 for each
Step-by-step explanation:
A normal distribution means that mean = median = mode. Furthermore, in a normal distribution, 68% of values are within 1 standard deviation of the mean, 95% of values are within 2 standard deviations, and 99.7% are within 3 standard deviation.
The mean is 150 and the standard deviation is 15. 165 and 135 1 standard deviation away from the mean, so 68% of values are between 135 and 165. This means that 32% of values are not between those values. A normal distributuion is symmetric, so 16% of values are greater than 1 standard distribution and 16% are less. Therefore, 16% of values (160) are less than 135 and 16% of values (160) are greater than 165
Answer:
Step-by-step explanation:
Write the equation in slope intercept form.
y = mx +c
y - 3x = 5
y = 3x + 5
m = 3 and c = 5
