A line has a slope of $-7$ and contains the point $(3,0)$. The equation of this line can be written in the form $y = mx+b$. What is the value of $m+b$?
Answers
Answer:
14
Step-by-step explanation:
In point-slope form, the equation with slope -7 through point (3, 0) can be written ...
y = -7(x -3) +0
y = -7x +21 . . . . . eliminate parentheses
Here, we can see m=-7 and b=21, so ...
m+b = -7+21 = 14
Final answer:
The equation of the line is y = -7x + 21, and the value of m + b is 14.
Explanation:
The equation of a line can be written in the form y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept. Since the slope of the line is given as -7, we can substitute -7 for m. The line also contains the point (3,0), which means that when x = 3, y = 0. Plugging these values into the equation, we can solve for b:
0 = -7(3) + b
0 = -21 + b
b = 21
Therefore, the value of m + b is -7 + 21 = 14.
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Related Questions
11 ounces to 5 ounces
Write the equation of the line passing through the points (7,6) and (5,6).The equation of the line is
(a) What is the probability that a person who was polled prefers chocolate ice cream to vanilla? Round your answer to four decimal places.
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.
Answers
Answer:
d = 7h +5
Step-by-step explanation
If you go to K-12 then this is the right answer I just took the quiz.
Answer:
d = 7h +5
Answers
Answer:
72
Step-by-step explanation:
(a+b)h / 2
(9+15)6 / 2
24 x 6 / 2
72
I hope im right!!
O A. 8 mm
OB. 14 mm
O C. 16 mm
O D. 18 mm
Answers
Answer: The answer is A, 8 mm.
Step-by-step explanation:
Answers
Answer:
IV
Step-by-step explanation:
What is 6
in radical form?
Answers
√
12
can be simplified because
12
is divisible by
4
-- a perfect square.
√
12
=
√
4
×
3
=
√
4
×
√
3
=
2
√
3
√
250
can be simplified because
250
is divisible by
25
√
250
=
√
25
×
10
=
√
25
×
√
10
=
5
√
10
But
6
is not divisible by a perfect square, so
√
6
cannt be simpified further.
b. 3%
c. 20%
d. 30%
Answers
Answer:
option d. 30%
Step-by-step explanation:
Data provided in the question:
Now,
The probability density function of the uniform distribution is given as:
Therefore,
The required probability will be
or
= 0.3 × 100%
= 30%
Hence,
The answer is option d. 30%
Final answer:
In a uniform distribution, all values have an equal chance of occurring. To find the probability of Samantha waiting less than 4.5 minutes, you divide 4.5 by the total time interval of 15 minutes. The answer is 30%.
Explanation:
The question is about the concept of uniform distribution in probability, which means that each value within the given range has an equal chance of being drawn. In this case, Samantha can wait anywhere between 0 and 15 minutes, so each minute has an equally likely chance of being the waiting time. To find the probability that Samantha has to wait less than 4.5 minutes, we simply divide this time interval by the total time interval. Hence, the calculation is 4.5 / 15 = 0.30 or 30%. So, the answer to the question of the probability that Samantha has to wait less than 4.5 minutes to catch the bus is 30%.
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