piecewise function.
Express the function graphed on the axes below as a
Please help me
Answers
The piecewise function is:
f(x) = x + 1 if x < 2
f(x) = -7x + 42 if x > 5
How to express the function graphed?On the graph we can see a piecewise function (piecewise means that it has different equations defined for different intervals in the domain).
On the left side, we can see a linear equation that comes from negative infinity and ends at x = 2 with an open circle (so the domain does not contain that value).
That line passes through (-1, 0) and (0, 1), then the slope is:
a = (1 - 0)/(0 -(-1)) = 1
And the y-intercept is y = 1, then the equation of the line is:
y = x + 1
The other line starts at x = 5 (again, open circle) and keeps going, it passes through the points (5, 7) and (6, 0)
The slope is:
a = (0 - 7)/(6 -5) = -7
Then the line is something like:
y = -7*x + b
To find b, we use the point (6, 0)
0 = -7*6 + b
7*6 = 42 = b
Then this line is:
y = -7x + 42
Concluding, the piecewise function is:
f(x) = x + 1 if x < 2
f(x) = -7x + 42 if x > 5
The complete question is : Help please!! Express the function graphed on the axes below as a piecewise function.
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Related Questions
If mBC = mBD =140 degrees then What is m
Answers
9514 1404 393
Answer:
40°
Step-by-step explanation:
The sum of arcs of a circle is 360°, so the measure of arc CD is ...
CB +BD +CD = 360°
CD = 360° -140° -140° = 80°
The measure of inscribed angle B is half the measure of the arc it subtends:
∠B = arc CD/2 = 80°/2
∠B = 40°
Answer:
40 degrees
Step-by-step explanation:
Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?
Answers
Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical
PLEASE HELP
Select ALL the correct answers.
The histogram below shows the number of goals scored by a sample of players in Joel's soccer league throughout the season.
Which of the following are true about the data?
The players in Joel's league scored between 1 and 30 goals.
The majority of players scored between 1 and 5 goals.
The majority of players scored between 1 and 10 goals.
The data distribution is skewed to the right.
The data distribution is skewed to the left.
Answers
Answer:
1, 3 and 4 options are true about the data.
Answer:
A.
C.
D.
Step-by-step explanation:
Study Island says so.
PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11
cm
6810
18. 136
25.11
Answers
The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
What is the mass required?Formula for density is;
Density = mass/volume
From the box we are given, it's volume is;
Volume = 30 * 30 * 76
Volume = 68400 cm³
Now, from conversion;
1 cm³ = 1g. Thus;
68400 cm³ = 68400 g
Volume = Mass/density
Volume = 68400/2.65
Volume = 25811 g
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A researcher is 95% confident that the interval from 19.8 to 31.5 captures y = the true mean number of unbroken
crackers in a certain-sized bag.
Is it plausible that the true mean number of unbroken crackers for all bags of this size may be 302
ОООО
No, this is not a plausible value for the population mean, because 30 is within the 95% confidence interval.
No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is not within the 95% confidence interval.
Answers
No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
What is confidence interval?Based on a sample from a population, a confidence interval is a range of values that is likely to include the true value of that population parameter. In statistics, samples are frequently used to calculate population characteristics like the mean or percentage. The estimate could not be precisely equal to the real value of the population parameter, though, as the sample is only a portion of the population.
According to the statement in the issue, there should be between 19.8 and 31.5 unbroken crackers in a bag of a specific size with 95% confidence.
Hence, no, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
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ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answers
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.
Answers
9514 1404 393
Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answers
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?
Answers
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4
Find out the area of parallerogram
Answers
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Answers
Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
slope=1
by using the fomulaof slope,
slope=y2-y1/x2-x1
1 =4-j/10-9
1 = 4-j/1
1=4-j
j=4-1
j=3
Answer:
j = 3
Step-by-step explanation:
(9 , j) ; [tex]x_{1}= 9[/tex] and [tex]y_{1} = j[/tex]
(10, 4) ; [tex]x_{2} = 10[/tex] and [tex]y_{2} = 4\\\\[/tex]
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]
4 - j = 1 {Subtract 4 from both sides}
-j = 1 -4
-j = -3 {Multiply both sides by (-1) }
j = 3
Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [−4,−1]?
Answers
Answer:
3
Step-by-step explanation:
because 4-1=3
The polynomials are not given, but we can answer in a general way.
Basically, what you need to test is:
Sign[p(-4)] ≠ Sign[p(-1)]
But let's see why.
The intermediate value theorem says that, if for two values a and b such that:
a < b
If we have a given continuous function such that:
f(a) < 0 and f(b) > 0.
or
f(a) > 0 and f(b) < 0
Then there exists a value c
a < c < b
Such that:
f(c) = 0
So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.
This means that if p(x) is the polynomial, then you should have:
Sign[p(-4)] ≠ Sign[p(-1)]
This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.
If you want to learn more, you can read:
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PLEASE HELP ASAPPPP!!!!!!
Answers
Answer:
B and C
Step-by-step explanation:
because AC is shorter than DF
because AB is different to DE
Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.
Answers
Answer:
[tex]\displaystyle a = \frac{8}{5}[/tex].
Step-by-step explanation:
Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:
[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].
Equivalently:
[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].
For the two vectors in this equation to be parallel to one another:
[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].
Solve for [tex]a[/tex]:
[tex]\displaystyle a = \frac{8}{5}[/tex].
[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answers
Answer:30
Step-by-step explanation:26+4
B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi
Answers
WILL GIVE BRAINLIEST!!!!!
Answers
Answer:
6
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEE
Answers
Answer:
d
Step-by-step explanation:
Brₐinliest plz close to leveling up
HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answers
Answer is 4%
If you keep subtracting 20.8 with any percent at all you would find your answer
If you need more work shown i will give you more by saying it in comments. ^^
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.
Answers
Answer:
Step-by-step explanation:
5
cos 90 - sin 45
Pleeeeeeeeease
Answers
Answer:
-1.29897714066
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cos90° - sin45°
= 0 - [tex]\frac{\sqrt{2} }{2}[/tex] ( exact value of sin45° )
= - [tex]\frac{\sqrt{2} }{2}[/tex]
≈ - 0.707 ( to 3 dec. places )
A football team loses 5 yards on each of 3
consecutive plays. What signed number
represents the team's total loss of yards on
the 3 plays?
PLEASE WRITE CORRECT ANSWER, I’LL GIVE BRAINLIEST!!
Answers
Answer:
15 yards within 3 consecutive plays
There are 20 question in a test and you get 75% correct how many questions do you get right
Answers
Answer:
Answer. so the answer is 15. you got 15 questions right.
Step-by-step explanation:
i need help with this!
Answers
Answer:
1.4
Step-by-step explanation:
It’s 1.4 try sketching it out next time
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answers
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
Helppppp plsssssssssssssssssssssss thanks
Is it
A
B
C
D
Answers
Answer:
It is (C) (6,5)
Step-by-step explanation:
Answer:
the answer is c :D
4.3 is ten as much as
Answers
Answer:
.43
Step-by-step explanation:
10% of ___ is 14
what is the number
Answers
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
What is the area of the kite?
Answers
Answer:
Step-by-step explanation:
area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²
Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X
Answers
Answer:
those are corresponding angles
Step-by-step explanation:
6x=5x+10
-5x on both sides of the equal sign
x=10