The value of x = -12.
Define Function.
A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x equals x divided by 2")
The given expression is
H(x)=-5/6 x
also, H(x) = 10
so, put H(x) value in given expression,
10 = -5/6 x
Now, solve for 'x'
-5x = 60
x = 60/(-5)
x = -12
Therefore, the value of x = -12
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I need help!
Use the given information to select the factors of f(x). f(4)=0 f(-1)=0 f(3/2)=0. Make sure to select all correct answers for full credit.
The given information of the factors f ( x ) helped to get the following correct options:
( x + 1 ) ⇒ f ( -1 )( x - 4 ) ⇒ f ( 4 )( 2x - 3 ) ⇒ f ( 3/2 )What is a function in math?The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include
The dependent variableThe independent variableSubstituting the functions we have:
f (-1 ) = ( 1 - 1 ) = 0
f ( 4 ) = ( 4 - 4 ) = 0
f ( 3/2 ) = (3 * 2/3 - 3 ) = 0
Other options fail to give the desired result of zero.
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2x²-11x-21=0.using factorization method
The factors of the quadratic equation are found as the 7 and -3/2
What is termed as the factorization method?To factorize a number, use the factorization formula. Factorization is defined as the process of converting one entity into the a product of another entity, as well as factors, that when multiplied together yield the original number. The factorization method employs the basic factorization formula to simplify any algebraic and quadratic equation, where the equations are depicted as the product of factors rather than expanding the brackets.For the given question, the quadratic equation is give as;
2x² - 11x - 21 = 0
Find the factors of -21×2 = 42 such that on subtraction it gives -11.
2x² - 14x + 3x - 21 = 0
Take 2x common from the first two terms and 3 from the last two terms.
2x(x - 7) + 3(x - 7) = 0
Take (x - 7) common from the terms.
(x - 7)(2x + 3) = 0
Then,
x - 7 = 0
x = 7
and, 2x + 3 = 0
x = -3/2
Thus, the factors of the quadratic equation are found as the 7 and -3/2.
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Which is another way to represent
five hundred six and ninety-two
thousandths?
Select all that apply.
(5 x 100) + (6 × 1)
+ X
(9 × 10) + (2x 100)
(5 x 100) + (6 × 1)
+(9 × 100) + (2.× 1,000)
506.092
506.902
506.92
Find the sine, cosine, and tangent for the angle whose measure is pi/6...pi divided by 6.
Calculating the sine, cosine and tangent of the angle pi/6 (that is, 30°), we have that:
[tex]\begin{gathered} \sin (\frac{\pi}{6})=\frac{1}{2}_{} \\ \cos (\frac{\pi}{6})=\frac{\sqrt[]{3}}{2}_{} \\ \tan (\frac{\pi}{6})=\frac{\sin(\frac{\pi}{6})}{\cos(\frac{\pi}{6})}=\frac{\frac{1}{2}}{\frac{\sqrt[]{3}}{2}}=\frac{1}{\sqrt[]{3}}=\frac{\sqrt[]{3}}{3} \end{gathered}[/tex]I will give 100 points to anyone who can answer my question.
Answer:
A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.
Answer:
The answers are (-10, -4) and (0, 1)
Step-by-step explanation:
The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.
Hope this helps!
The average price of a certain model of pickup truck in 1992 was $12,500. In 2013, the average price of the pickup truck was $22,000. What is the percentage increase in the average price of the pickup truck?
The average price in 1992 and 2013 was given. It is required to find the percentage increase in the average price over these years.
Recall that the formula for Percentage Increase is:
[tex]\text{percent increase}=\frac{\text{final price-initial price}}{\text{initial price}}\times100\%[/tex]Substitute initial price=12500 and final price= 22000 into the formula:
[tex]\begin{gathered} \text{percent increase}=\frac{22000-12500}{12500}\times100\%=\frac{9500}{12500}\times100\%=0.76\times100\% \\ \Rightarrow\text{percent increase}=76\% \end{gathered}[/tex]Hence, the percent increase in the average price is 76%.
Answer:
depends on whether or not the dealerships are scammers
Step-by-step explanation:
Answer the A, B or C from the image. I understand it will be challenging… so I will be giving brainliest to whoever answers more than one. And many points to whoever answers even one.
!Any fake answers; ex. Blank answers. Will be reported!
Take as much time as you need, I will be trying to answer them myself in the meantime.
Using Cramer's Rule, the solution to the system of equations
6x - 5y = -4
-7x + 3y = -1
can be written in the form
( Dx , Dy )
( D D )
What is the value of D?
Answer's
Step-by-step explant
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
Answer:
A) there are no outliers in this distribution.
Answer:
Step-by-step explanation:
Answer there are no outlier
Please help me it is due today!
Answer: B
Step-by-step explanation:
The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.
X 79°
y
Z
m
n
Helpppppppppppppppp
Step-by-step explanation:
79 degrees plus X would make 180 degrees, because these two angles make up a straight angle.
So, 79 + X = 180
-79 -79
X=101 degrees.
Y is 79 degrees because it is an alternate interior angle to the other 79 degree angle.
Z is 101 degrees because X and Z are corresponding angles, which means they are equal.
If Z is 101 degrees, Y must be 79 degrees because Y and X make up a straight angle.
Answer:
X is 101 degrees. Y is 79 degrees. Z is 101 degrees.
Hope this helped! :)
a lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. the target accuracy has an average of 2.78 or less with a standard deviation of 1.17. if the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.45, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy?
The proper test statistic has a value of 13.21.
As a result, repeated measurements of cholesterol levels from the same blood sample are taken to assess a lab technician's consistency.
The desired accuracy is a measurement variance of 2.78 or less. In the event that the lab technician conducts 16 measurements, and the sample's measurement variance is 2.45.
1) n=16 samples were used.
The desired accuracy is a measurement variance of 2.78 or less.
The sample's measurements' variance is 2.45 or less.
We list both the null and alternative hypotheses in response to the query.
Null hypothesis [tex]H_{0}[/tex] = [tex]var^{2} \geq[/tex] 2.78
Alternative hypothesis [tex]H_{a}[/tex] = [tex]var^{2} <[/tex] 2.78
We claim the alternative hypothesis.
2)Calculate the appropriate test statistic's value.
Using Chi-square,
X= ((n-1)(2.45)/(2.78)
X= 15(2.45)/(2.78)
X=36.75/2.78
X= 13.21
Therefore, The value of the appropriate test statistic is 13.21
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Write a conjecture that best describes the pattern in each sequence . Then use your conjecture to find the n next item in the sequence . a 1,4,9,16,... b PERCENT HUMIDITY : 100\% , 93 % , 86\%
patternpatternGreat!
The patteren is 1, 4, 9, 16,...
All these numbers are square numbers, which means
1 * 1 = 1
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
That means
1st term = 1^2
2nd term = 2^2
3rd term = 3^2
4th term = 4^2
so
nth term = n^2
The conjecture is
[tex]a_n=n^2[/tex]The pattern is 100%, 93%, 86%, ...........
Since 93% - 100% = -7%
Since 86% - 93% = -7%
Then this pattern is decreases by 7%
So it is an arithmetic sequence
Its rule is:
[tex]a_n=a+(n-1)d[/tex]Where a is the first term
d is the constant difference
n is the position of the number
Since a = 100%
Since d = -7%
Let us substitute these values in the rule
[tex]a_n=100+(n-1)(-7)[/tex]Simplify it
an = 100% + (n)(-7%) + (-1)(-7%)
an = 100% + (-7n%) + (7%)
Add the like terms
an = (100% + 7%) - 7n%
an = 107% - 7n%
Let us check the rule
What is the 3rd term
n = 3
a3 = 107% - 7(3)%
a3 = 107% - 21%
a3 = 86% which is true
b
2x - 15
3x + 5
Line a || Line b.
Use the diagram to write an equation and solve for x
Answer:
x= −20
Step-by-step explanation:
The solution is x = 38
The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles
What are angles in parallel lines?
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Same side exterior angles are supplementary
Given data ,
Let the first angle be represented as A
Now , the value of A is = ( 2x - 15 )°
Let the second angle be represented as B
Now , the value of B is = ( 3x + 5 )°
The angles A and B are on the same side of the exterior angles
And , lines a and b are parallel
So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary
Substituting the values in the equation , we get
( 2x - 15 )° + ( 3x + 5 )° = 180°
On simplifying the equation , we get
2x - 15 + 3x + 5 = 180
5x - 10 = 180
Adding 10 on both sides of the equation , we get
5x = 190
Divide by 5 on both sides of the equation , we get
x = 190/5
x = 38
Therefore , the value of x is 38
Hence , the value of x from the equation is 38
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10m +6 < 76 or -6 - 10m s≤ -86
Answer:
m < 7 or m ≥ 8Step-by-step explanation:
Given system10m + 6 < 76 or- 6 - 10m ≤ - 86Solve each inequality:
10m + 6 < 7610m < 76 - 610m < 70m < 7or
- 6 - 10m ≤ - 86- 10m ≤ - 86 + 6- 10m ≤ - 80m ≥ 8The answer is: m < 7 or m ≥ 8
Can anyone please answer this question, Ill give points.
Answer:
(0,1) and (-10.-4)
Step-by-step explanation:
To find the solutions, find the points where both the curve and line intersect and read off the coordinates
Find the slope between these two points:
(9,3),(19,-17)
Answer:
Slope = -2
Step-by-step explanation:
(9, 3), (19, -17)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -17 - 3 -20
m = ------------ = ------------ = -------- = -2
x₂ - x₁ 19 - 9 10
y - y₁ = m(x - x₁)
y - 3 = -2(x - 9)
y - 3 = -2x + 18
+3 +3
-----------------------
y = -2x + 21
I hope this helps!
jon's bathtub is rectangular and its base is 18 ft2. how fast is the water level rising if jon is filling the tub at a rate of 0.6 ft3/min? (use decimal notation. give your answer to three decimal places.)
Jon's bathtub exists rectangular and its base exists 18 ft². The water level rising if Jon is filling the tub at a rate of 0.2 ft³/min is 0.011 ft/min.
What is meant by differential equation?A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
If we take a look at a rectangular bathtub, the volume of the bathtub can be expressed as:
Volume (V) = length × breadth × height
where; base = length × breadth = 18ft²
The volume of the rectangular bathtub = 18h ......... (1)
Using differentiation to differentiate 18h with respect to t implicitly, then:
[tex]$\frac{\mathrm{dV}}{\mathrm{dt}}=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]
When the rate of rising of the volume is 0.2 ft² / min
[tex]$0.2=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]
substitute the values in the above equation, we get
[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=\frac{1}{18} \times(0.2)$$[/tex]
[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=0.011 \mathrm{ft} / \mathrm{min}$$[/tex]
Therefore, we can conclude that the rate at which the water level rises if Jon is filling the tub at 0.2 ft³/min exists 0.011 ft/ min.
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the measure of the angle of a triangle are shown in the figure below. solve for x
x°
44°
61°
Answer: x=75°
Step-by-step explanation:
x+44+61=180 ==> three angles in a triangle add up to 180 degrees
x+105=180
x+105-105=180-105
x=75°
1 pts for spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?
Answer:
woooooowwoowww your terrible
Step-by-step explanation:
gude
What is 420÷60 hellllllllppp
Answer:7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
420÷60 is the same as 42÷6.
42 goes into 6, 7 times:
6, 12, 18, 24, 30, 36, 42.
Therefore, 420÷6 is 7.
Please use a calculator next time.
2, What method of data collection would you use to collect data for a study where adrug was given to 10 patients and a placebo to another group of 10 patients todetermine if the drug has an effecton a patient's illness?A) take a censusb) use sampling c) use a simulation d) perform an experiment e) none
I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,
Does anybody know the answer to this question?
The values of x and y after solving the given system of equations are respectively.
According to the question,
We have the following two equations:
y = 2x+3 ....(1)
y = 4x-1 .....(2)
Now, we can put the value of y from equation 1 in equation 2:
2x+3 = 4x-1
Now, we can change sides as it will not affect the result.
4x-1 = 2x+3
Moving 2x from the right hand side to the left hand side will result in the change of sign from plus to minus:
4x-2x-1 = 3
2x-1 = 3
2x = 3+1
2x = 4
x = 4/2
x = 2
Now, we can put the value of x in equation 1 to find the value of y:
y = 2x+3
y = 2*2+3
y = 4+3
y = 7
Hence, the value of x is 2 and the value of y is 7 after solving the equations.
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the probability of observing a window given there is no window at its location is 0.2, and the probability of observing a window given there is a window is 0.9. after incorporating the observation of a window, what are the robot's new probabilities for being in
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
Let W be the event that the robot's camera observes a window
It is given that the Probability of observing a window there is no window at its location is given 0.2
P(W/ L1) = 0.2 ( L1 which does not have a window)
Also, probability of observing a window is 0.9
P(W/ L2) = 0.9 ( L2 has window)
Now we have to find updated probabilities for the robot being in L1 i.e:- P(L1/W) & P(L1/w)
w means the camera does not observe a window.
By Bayes Rule,
P(L1/W) = P(L1)P(W/L1)/P(L1)P(W/L1)+P(L2)P(W/L2)
= (0.7x 0.2)/ (0.7x0.2) + (0.3x0.9)
= (0.14)/ 0.14+0.27
≈0.341 (rounded to 3. decimal places)
Thus the probability of being in L1 if the camera observes a window is nearly 0.341.
P(L1/w) = P(L1)P(w/L1)/P(L1)P(w/L1)+P(L2)P(w/L2)
As P(W/L1) = 0.2;
P(w/L1) = 1 - P(w/L1) = 1-0.2 = 0.8
Also P(W/L2) = 0.1;
P(w/L2) = 1 - P(w/L2) = 1-0.9 = 0.1
P(L1/w) = (0.7 X 0.8)/ (0.7X0.8) + (0.3X0.1)
=(0.56)/ (0.56+0.03) = (0.56/ 0.59)
≈ 0.949 (rounded to 3 decimal places).
Thus the probability of being in L1 if observe not the window is nearly 0.949.
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
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Rhoni reads at a rate of 75 pages per hour. The number of pages Rie reads over time is shown in the table.
A table with two rows and five columns is shown. The first row is Time in hours. The second row is number of pages. Three hours, one hundred ninety-five pages. Five hours, three hundred twenty-five pages. Nine hours, five hundred eighty-five pages. Ten hours, six hundred fifty pages.
Question 1
Part A
Who has a greater rate of reading?
Select the answers from the drop-down lists to correctly complete the sentence.
The individual that has a greater rate of reading is Rhoni.
Who has a greater rate of reading?Rate measures how fast a person is reading a book. Rate is the total pages read per time. Rate is determined by dividing total pages read by the total time spent reading.
Division is the operation used in mathematics that is used to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Rie's rate = pages read / time
195 / 3 = 65 pages per hour
325 / 5 = 65 pages per hour
Rie's rate is 65 pages per hour. While Rhoni's rate is 75 pages per hour. This means that Rhoni reads faster than Rie.
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2000x2400 need the answer
Answer: 4,800,000
Step-by-step explanation: 2 times 24 is 48 then there is 3 zeros in 2000 and 2 zeros in 2400 so just add those on to the end of 48 and then you get your final answer of 4,800,000.
Dilate the figure by the scale factor. Then enter
the new coordinates.
C(-1, 1)
B(1, -2)
A(3, 3)
K=9
A'([?], [])
B'([],[])
C'([],[_])
Answer: b (-1,1)
Step-by-step explanation:
Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the x-axis, what is the coordinate
of A'?
A. A'(-4,-5)
B. A'(-4, 5)
C. A'(4, 5)
D. A'(4,-5)
Answer:
D
Step-by-step explanation:
(4,5) is 5 units above the x axis. So, D' will be 5 units below the x axis. This would be the point (4 -5)
Answer: The answer is D A (4,05)
(4,5) is 5 units above this x axis. because of that , D' will have 5 units below the x axis for this problem. therefore the point is (4 -5)
A z-score of z = −2.00 indicates a position in a distribution __________.
A- above the mean by a distance equal to 2 standard deviations
B- below the mean by 2 points
C- below the mean by a distance equal to 2 standard deviations
D- above the mean by 2 points
Answer:
C- below the mean by a distance equal to 2 standard deviations
Step-by-step explanation:
The Z-score, or standard score, is the number of standard deviations a given data point lies above or below the mean.The z-score is positive if the value lies above the mean, and negative if it lies below the mean.So, a z-score of z = −2.00 indicates a position in a distribution below the mean by a distance equal to 2 standard deviations.-6 = -2/9w solve for w and simplify your answer as much as possible
Answer:
w = 27
Step-by-step explanation:
Solve for w: -6 = -2/9w
-6 = -2/9w
divide both sides by -2/9:
-6/(-2/9) = -2/9w/(-2/9)
27 = w
