Answer:
The x-intercept is (3, 0)
The y-intercept is (0, -1)
The slope is 1/3
The equation of the line is
\(y=\frac{1}{3}x-1\)Explanation:
From the given graph, the line intercepts the x axis at the point 3, and intercepts the y-axis at the point -1
The x-intercept is (3, 0)
The y-intercept is (0, -1)
The slope, which is rise/run is given as:
\(\begin{gathered} S=\frac{-1-0}{0-3} \\ \\ =\frac{-1}{-3} \\ \\ =\frac{1}{3} \end{gathered}\)The equation of the line is now:
y = mx + c
Where m is the slope and c is the y-intercept
\(y=\frac{1}{3}x-1\)The difference between x and 8 is 22
Answer:
if you want x it is 30 ........
Solve for x. 1/4(512x−34)>x+1/12
Answer:
x - \(\frac{1}{2048x - 136}\) + \(\frac{1}{12}\) < 0
Step-by-step explanation:
Solve this equation.
-40-b + 6) = 4
Answer:
b = −2
Step-by-step explanation:
1. Simplify −4 − b + 6 to 2 − b.
− b = 4
2. Subtract 2 from both sides.
−b = 4 − 2
3. Simplify 4 − 2 to 2.
−b = 2
4. Multiply both sides by −1.
b = −2
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
\(4x^2-9y^6\)
It should be noted that both terms are perfect squares:
\((2x)^2=4x^2\)
\((3y^3)^2=9y^6\)
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
\((U^2-V^2)=(U+V)(U-V)\)
Thus, the answer is
B. (U+V)(U-V)
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
Would the value of
{2 + ((15 – 3) - 61) = 2
change if the braces were
removed? Explain.
Answer:
{2+[(15-3)-61]}= -47
Yes, the value would change because if it did you would use the method PEMDAS but if there were brackets you would do the process in the order of the brackets
Step-by-step explanation:
Natasha's sculpture was 5 3/16 inches tall. Mayas was 4 times as tall.How much shorter was Natasha's sculpture than Mayas
Answer:
Natasha's sculpture is 249/16 or 15.5625 or 15 9/16 inches shorter than Mayas sculpture
Step-by-step explanation:
The height of Natasha sculpture is 5 3/16 inches tall. Let us convert the height to an improper fraction.
5 3/16 = 83/16 inches tall. Therefore,
Natasha's sculpture is 83/16 inches tall.
According to the question Mayas own sculpture was 4 times as tall as Natasha's own sculpture. Mathematically, Mayas sculpture height can be expressed as follows
Mayas sculpture height = 4(83/16)
Mayas sculpture height = 4 × 83/16
Mayas sculpture height = 332/16
Mayas sculpture height = 20.75 inches or 83/4 inches
To know how much shorter was Natasha's sculpture we subtract Natasha sculpture height from Mayas sculpture height.
Therefore,
83/4 - 83/16 = (332 - 83) /16 = 249/16 or 15.5625 or 15 9/16
Natasha's sculpture is 249/16 or 15.5625 or 15 9/16 inches shorter than Mayas sculpture
y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle.
Answer:
Step-by-step explanation:
8 cm
2 procedimientos por favor
Answer:
184.8
Step-by-step explanation:
385/25×12
385÷25=15.4
15.4×12=184.8
-s^2+2s=0 Separate the two values with a comma.
Answer:
s = 0 OR s = 2
Step-by-step explanation:
=> \(-s^2+2s = 0\)
=> \(-s(s-2)=0\)
So, Either:
=> -s = 0 OR s-2 = 0
=> s = 0 OR s = 2
Answer:
s=0,2
Step-by-step explanation:
-s^2+2s=0
Factor out -s
-s ( s-2) =0
Using the zero product property
-s =0 s-2 =0
s=0 s=2
h=p√m2+n find the value of h when p = 3, n=20 , m=6
Answer:
We can substitute the given values of p, m, and n into the formula for h:
h = p√(m^2 + n)
h = 3√(6^2 + 20)
h = 3√(36 + 20)
h = 3√56
We can simplify this by factoring 56 into its prime factors:
h = 3√(2^3 × 7)
h = 3 × √(2^2 × 7) × √2
h = 3 × 2√7
Therefore, when p = 3, n = 20, and m = 6, the value of h is 6√7 or approximately 13.42.
Piper has a smart phone data plan that costs $45 per month that includes 5 GB of
data, but will charge an extra $25 per GB over the included amount. How much
would Piper have to pay in a month where she used 5 GB over the limit? How much
would Piper have to pay in a month where she used went over by 2 GB?
Answer:
Piper would have to pay $170 in a month if she used 5 GB over the limit and $95 in a month if she used 2 GB.
Step-by-step explanation:
45 + 25x
45 + 25(5) = 170
45 + 25(2) = 95
Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.(2, -3), (4,5)
It is given that the line passes through points (x1, y1)=(2, -3) and (x2, y2)=(4, 5).
The two point form of the equation of a line is given by,
\(y-y1=\frac{y2-y1}{x2-x1}(x-x1)\)Substitute the known values to obtain the equation of the line.
\(\begin{gathered} y-(-3)=\frac{5-(-3)}{4-2}(x-2) \\ y+3=\frac{8}{2}(x-2) \\ y+3=4(x-2) \\ y+3=4x+4\times(-2) \\ y+3=4x-8 \\ y=4x-8-3 \\ y=4x-11 \end{gathered}\)Therefore, the equation of the line is y=4x-11.
2. Dale took out a $250,000 loan to buy a home. What is the principat?$100,000$250,000$125,000$500,000
Principal is the money that you originally agreed to pay back.
Therefore, the principal is $250,000.
This table shows the ratio of number of people to liters of ginger ale needed find the missing values
Answer:
2 and 6
Step-by-step explanation:
Answer:
2 and 6
Step-by-step explanation:
Got a hundred on my test correct answer edge 2020
A house is infested with mice and to combat this the householder acquired four cats cyd, Greg, Ken, and Rom, The householder observes that only half of the creatures caught are mice. A fifth are voles and the rest are birds. 20% of the catches are made by Cyd, 45% by Greg, 10% by Ken and 25% by rom. a) What is the probability of a randomly selected catch being a mouse caught by Cyd? b) Bird not caught by Cyd? c) Greg's catches are equally likely to be a mouse, a bird or a vole. What is the probability of a randomly selected d) The probability of a randomly selected catch being a mouse caught by Ken is 0.05 . What is the probablity that a catch being a mouse caught by Greg? e) Given that the probability of a randomly selected catch is a mouse caught by Rom is 0.2 verify that the catch made by Ken is a mouse? probability of a randomly selected catch being a mouse is 0.5 . f) What is the probability that a catch which is a mouse was made by Cyd?
Note that the probabilities are given below.
a) the probability of a randomly selected catch being a mouse caught by Cyd
p(Catching a mount) x p(Cyd made the catch)
= 0.5x .2
= 0.1
b) the probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.
Thus
P(that a catch is a bird) x p(the Cyd didn't make the catch)
= 0.3 x 0.8
=0.24
c) The probability of a randomly selected catch being caught by Greg is 0.45
To calculate, we say
(0.5 x0.45) + (0.3 x 0.45) + (0.2 x .45)
= 0.45.
d)
P (mouse caught by Greg) = (0.45 x 0.5) / 1
= 0.225.
e) P(catch is a mouse caught by Ken and catch is a mouse)
= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)
= 0.05 x 0.1
= 0.005
f)
P (catch made by Cyd | catch is a mouse)
= 0.1 x 0.2 / 0.5
= 0.04
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For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
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Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
someone help me ASAP
Answer:
there's nothing here at all....
Step-by-step explanation:
What is the solution to this system?
3x+2y=6
-4x+ 5y = 15
4-3-2-1
1 2 3 4 5
-
S
Answer:
solution: (0,3)
Step-by-step explanation:
You can find the solution when the two lines intersect.
Find the second differences
The second difference of the given number table is: Option A: -2
How to find the second differences?The second difference method can be used to determine a quadratic model. In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.
Thus, Applying the second difference concept to our problem, we have:
First difference:
-4 - (-9) = 5
-1 - (-4) = 3
Thus, second difference is:
3 - 5 = -2
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Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]
\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).
the first domain is true for f(0) so we substitute value of x in the first function
\(f(x) = x \\ f(0) = 0\)
**HELP THESE ARE DUE TOMORROW MORNING!! I WILL GIVE BRAINLIEST**
1) The slope of line b is -1/m
The slope of line c is m
What we conclude is that line a and c are parallel
2) Yes, one of the students paid a greater registration fee
How to interpret slope of linear equations?1) We are told that;
Lines a and b are perpendicular
Lines b and c are perpendicular
Slope of line a is m.
Now, when two lines are perpendicular, their slope are negative inverse of each other.
Thus;
Slope of line b = -1/m
Now, since line b and c are also perpendicular, then it means slope of line c is the negative inverse of slope of line b. Thus;
Slope of line c = -1/(-1/m) = m
Slope of line c is same as slope of line a and it means that they are parallel.
2) From the given graph, we see that student B has a slighlty higher y-intercept than student A. This indicates student B paid more registration fee than student A.
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I need help is using double-angle formulas to simplify trig expressions.
Answer:
the answer is c
Step-by-step explanation:
(1-cosb²)/sinx²
Many delivery trucks feature a "How Am I Driving?” sticker on the rear bumper, along with a phone number. This sticker allows drivers to report erratic driving by the truck driver or offer a compliment if they like. A dispatcher at the trucking station accepts calls and records information from those who call the phone number. The dispatcher reports that in the past month, 218 calls were received. Of those calls, 178 reported negative driving behaviors by the truck drivers. How might this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers?
This sample may lead to nonresponse bias because many drivers may not call the phone number.
This sample may lead to undercoverage bias because some drivers will be more likely to be included in the sample.
The sample may lead to response bias because some who call the phone number may not provide a truthful opinion.
This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.
The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.
What is sampling bias?A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.
This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.
Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
What are the domain and range of the relation given in the table? x y −12 0 −8 12 0 0 1 8
Answer:
domain: {−12,−8,0,1}
range: {0,8,12}
The domain and range of the relation given in the table are:
The domain: {-12, -8, 0, 1}
And range: {0, 8, 12}
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
We have the relation,
x → y
-12 → 0
-8 → 12
0 → 0
1 → 8.
The range of the relation: All achievable values.
So, the domain: {-12, -8, 0, 1}
And range: {0, 8, 12}
Therefore, range and domain is given below.
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