Write the slope-intercept form of the equation of the line described.4) through: (-5,0) , parallel to Y= -2/5x + 4
1 answer:
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Answer: The answer is: " 72 words per minute. "
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Step-by-step explanation:
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This is a "unit rate" problem.
We want to solve for/ find the number of words PER single minute.
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Given 48 words per (2/3) minute;
How many words per (one) minute?
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The answer is {48 ÷ (2/3) } words per minute:
Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:
Hence:
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The answer is {48 * (3/2) } words per minute:
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Write as:
" " ;
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The "48" can be changed to "24" ; and the "2" can be changed to "1" ;
→ {Since: "48 ÷ 2 = 24 "} ;
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And we have:
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" " ;
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The answer is: " 72 words per minute ."
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Hope this is helpful to you!
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Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
ANSWER
C. x>5
EXPLANATION
The given inequality is:
3x + 3 − x + (−7) > 6
Deal with the parenthesis first to obtain;
3x + 3 − x −7 > 6
Group similar terms to get:
3x − x> 6-3+7
Combine similar terms to get,
Divide both sides by 2 to obtain:
The correct choice is C. x>5