What is an equation of the line that passes through the point (4,-1) and has a slope of -2?
Answers
Answer:
Option C, [tex]y = -2x + 7[/tex]
Step-by-step explanation:
1) Slope-intercept format is represented by the formula [tex]y = mx + b[/tex]. By looking at the options, we can see that all of them follow this format.
So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or [tex]m[/tex], represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have [tex]m[/tex] as -2.
2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:
[tex]-1=4(-2)+7\\-1 = -8+7\\-1=-1[/tex]
-1 does equal -1, so this statement is true. Thus, option c must be the answer.
The equation of the straight line will be -
y = -2x + 7
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have an equation of the line that passes through the point (4,-1) and has a slope of -2.
Assume the equation of the line to be -
y = -2x + c
The line passes through the point (4,-1), so we can write -
-1 = -2 x 4 + c
-1 = -8 + c
c = -1 + 8
c = 7
Therefore, the equation of the straight line will be -
y = -2x + 7
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
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Help im being timed.
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Answer:
the answer is D
Step-by-step explanation:
Answer:
D. 6g
Step-by-step explanation:
What round 3\7 to is closest
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how DO I DELETE THIS ANSWER
Express each decimal to fraction 0.8255555…
Answers
Answer:
08255555/10000000 this is the answer
Answer:
0.8255555 = [tex]\frac{33}{40}[/tex]
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
0.825 = [tex]\frac{0.825}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]
Therefore
X= [tex]\frac{33}{40}[/tex]
In conclusion,
0.825555 = [tex]\frac{33}{40}[/tex]
Hope it helps
Please mark me as the brainliest
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Answer:
there's nothing here at all....
Step-by-step explanation:
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The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Answers
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Answers
Answer:
567
Step-by-step explanation:
Please mark brainliest
Answer:
567
Step-by-step explanation:
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answers
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
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Answer:
i think26 and 10
Step-by-step explanation:
Answer:
c. 12/5
Step-by-step explanation:
With reference angle C
perpendicular (P)= 24
base(b) = 10
Then
Tan < C = p / b
Tan < C = 24/ 10
Tan < C = 12/5
Hope it helps :)
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
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Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
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16pi/3=x
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Answer:
C 37.5
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1 inch is 30 feet. so feet is 30 x [number of inches]. 30 x 1.25 = 37.5
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Answer:I think that it would be either b or c
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
pls give me the crown pls
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divide 270 in the ratio 3:2:1
Answers
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
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here u go
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a = 2
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Step-by-step explanation:
The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.
Thus,
a = 2
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Answer:
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Step-by-step explanation:
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20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
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v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
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Please guys help me please no links
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Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
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Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
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ILL MARK BRAINLIEST!!! PLS HELP!!! A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answers
Answer:
Step-by-step exlanation:
What you do is $18,000 x 5% which is 900 and then you do 900 x 10 = 9000!
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per hour. The westbound train
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Answers
Solving for the elapsed time
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Answers
x1 and y1 are coordinates of first point
x and y are coordinates of second point
(7,7) x1=7, y1=7
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Answer:
y - 7 = 1/2(x - 7)
Step-by-step explanation:
Point slope form is y - y1 = m (x - x1)
So find m = y2 - y1/ x2 - x1, so m = -1 - 7 / -9 - 7, m = -8 / -16 so m = 1/2
Then sub your (7,7) so y - 7 = 1/2(x - 7)
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Answers
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
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Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Option A is the answer buddy
Step-by-step explanation:
Answer:
a is the answer boi
Step-by-step explanation:
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Answers
Answer:
5.0/5.
Step-by-step explanation:
Answer:
3A = 5B A/B=5/3 (A + B) / B=(5+3) / 3 (A + B) / B=8/3 इसलिए सही उत्तर विकल्प B है।
Hope this helps
Step-by-step explanation: