The graph shown is related to y=|x| by:
\(y=\lvert x\rvert+2\)this comes from the fact that we only have to move the graph two units up and to do this we add the amount we like to move to the original expression.
Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = −1, g(1) = −2, and g'(1) = 3. Find h'(1). h(x) = (x2 + 8)g(x)
Answer:
\(h'(1) = 23\)
Step-by-step explanation:
Let be \(h(x) = (x^{2}+8)\cdot g(x)\), where \(r(x) = x^{2} + 8\). If both \(r(x)\) and \(g(x)\) are differentiable, then both are also continuous for all x. The derivative for the product of functions is obtained:
\(h'(x) = r'(x) \cdot g(x) + r(x) \cdot g'(x)\)
\(r'(x) = 2\cdot x\)
\(h'(x) = 2\cdot x \cdot g(x) + (x^{2}+8)\cdot g'(x)\)
Given that \(x = 1\), \(g (1) = -2\) and \(g'(1) = 3\), the derivative of \(h(x)\) evaluated in \(x = 1\) is:
\(h'(1) = 2\cdot (1) \cdot (-2) + (1^{2}+8)\cdot (3)\)
\(h'(1) = 23\)
Find the missing term in each sequence
Answer:
The answer would be 58.32.
Step-by-step explanation:
Good luck ^___^ .
Out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time. Who got more hits? how many more?
Cassa got more hits 16 than Jen who got 15 hits.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time.
Cassa's hits = 18 x ( 8 / 9 ) = 16
Jen's hit = 18 x ( 5 / 6 ) = 15
Therefore, Cassa got more hits 16 than Jen who got 15 hits.
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I have an algebra question, no rush, please explain if you can, if not that is okay.
Answer:
a) \(6x^2 + 17x + 31 + \frac{70}{x-2}\)
Step-by-step explanation:
(see attachments for explanation)
i need a reduced mixed number from 12(x-6)=2(x-9)
Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
What is the equation of the parabola with focus (4, 1) and directrix y = 2?
After answering the given query, we can state that the parabola equation expands upwards, and the apex is (4, 4.5).
What is equation?Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.
P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.
As a result, the parabola's equation is:
\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)
The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)
The problem can also be expressed in vertex form by filling in the cube as follows:
\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)
Therefore, the parabola expands upwards, and the apex is (4, 4.5).
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I WILL GIVE BRAINLIEST
And more points please answer
Answer:
Step-by-step explanation:
Answer: Linda's 1/2 . Phil's $0.50
Step-by-step explanation: the rate is the slop which is rise/run if that makes sense
(−1)^3⋅(−1)^2
simplify
Answer:
Step-by-step explanation:
(-1)³·(-1)² = (-1)·(1) = -1
Alternatively,
(-1)³·(-1)² = (-1)³⁺² = (-1)⁵ = -1
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
-7 3/8 as a decimal number?! Help
PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.
The linear functions that define their distances are given as follows:
Nevaeh: 650 - 50t.Christian: 450 - 25t.The number of hours after noon in which they will be the same distance away from the stadium is of:
8 hours.
What are the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope.b is the y-intercept.In the context of this problem, the meaning of each parameter is:
The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.
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simplify the expression (b+3)+(2b-2)
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
Answer:
3b+1
Step-by-step explanation:
(b+3)+(2b-2)
b+3+2b-2
3-2
b+1+2b
b+2b
3b+1
how much cm³ is it the cilinder?
Answer:
one because it is cilinder
Answer:
3619.11 cm^3
Step-by-step explanation:
Volume of a cylinder = area of end * height
= pi r^2 * height
= pi (6)^2 * 32 cm^3
= 36 pi * 32 = 3619.11 cm^3
Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form.The average value of a certain type of automobile was $13,980 in 1995 and depreciated to $7860 in 1999. Let y be the average value of the automobile in the year x, where x = 0 represents 1995. Write a linear equation that models the value of the automobile in terms of the year x.
The general slope-intercept form is:
y = ax + b
where a is the slope and b is the y-intercept.
The value of b represents the initial value of y, i.e., when x = 0. So for this problem, we have:
b = 13980
since this was the value of y (average value of the automobile) when x = 0 (the year 1995).
Until now, we obtained the equation:
y = ax + 13980
Now, in order to find a, we can use the fact that, for x = 4 (1999 - 1995 = 4), y = 7860:
7860 = a(4) + 13980
Then, we need to isolate the constant a at one side of the equation and find its value:
7860 = a(4) + 13980
7860 = 4a + 13980
7860 - 13980 = 4a
-6120 = 4a
-6120/4 = a
a = -1530
Therefore, the linear equation is:
y = -1530x + 13980
Find the equation of the lines in point-slope form with the
following properties.
slope = -5 and passes through (4, -1).
Answer:
y +1 = -5(x -4)
Step-by-step explanation:
You want the point-slope equation of the line with slope -5 through point (4, -1).
Point-slope equationThe point-slope equation of a line has the form ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
ApplicationSubstituting m=-5 and (h, k) = (4, -1), the equation is ...
y -(-1) = -5(x -4) . . . . . . values substituted
y +1 = -5(x -4) . . . . . . . simplified a bit
Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Find a number whose quadruple plus nine is equal to its sextuple minus 5
First we must read the statement and plant an equation. We will call x the number sought, so you can:
\( \sf4x + 9 = 6x - 5\)
Once the concordance equation was established, it was solved.
Rest 4x on both limbs.
\( \sf4x - 4x + 9 = 6x - 4x - 5\)
\( \sf9 = 2x - 5\)
Now I play 5 on both sides.
\( \sf9 + 5 = 2x - 5 + 5\)
\( \sf14 = 2x\)
Now I just need to divide both members by 2 and I fall:
\( \sf\dfrac{14}{2} = \dfrac{2x}{2}\)
\( \sf x = \dfrac{14}{2}\)
\(\sf \: x = 7\)
Therefore, the searched number is the site.
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Answer:
7
Step-by-step explanation:
Let the unknown number be n.
Quadruple a number is 4 times that number ⇒ 4n.
Sextuple a number is 6 times that number ⇒ 6n.
Plus means to add.
Is equal to means equals.
Minus means to subtract.
Therefore, "quadruple plus nine is equal to its sextuple minus 5":
\(\implies 4n+9=6n-5\)
Add 5 to both sides:
\(\implies 4n+9+5=6n-5+5\)
\(\implies 4n+14=6n\)
Subtract 4n from both sides:
\(\implies 4n+14-4n=6n-4n\)
\(\implies 14=2n\)
\(\implies 2n=14\)
Divide both sides by 2:
\(\implies 2n \div 2=14 \div 2\)
\(\implies n=7\)
Therefore, the unknown number is 7.
5 to the power of 2 + 2 to the power of 2 =?
Answer:
the answer is 36
Step-by-step explanation:
A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
How to determine the probability?The distribution of the puppies is given as:
4 poodles, 5 terriers, and 2 retrievers
The probability of selecting a terrier is;
P(terrier) = 5/11
The probability of selecting a retriever is;
P(retriever) = 2/11
The required probability is
P = 5/11 * 2/11
Evaluate
P = 10/121
Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
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2x+1=7 .explanation please
Answer:
x=3
Explanation
2x+1=7
Step 1: Subtract 1 from both sides.
2x+1−1=7−1
2x=6
Step 2: Divide both sides by 2.
2x/2 = 6/2
x=3
plz mark me as brainliest
29. Assertion :7√5, √2+21 are the irrational number. Reason: every integer is an rational number 30.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.
An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.
Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.
The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.
In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.
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Please help!! I don't understand this!?!?!?
Answer:
Understgand what?
Step-by-step explanation:
Answer:
whats your question?
Step-by-step explanation:
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Applying the congruent chords theorem, the value of x is: 7.
Length of segment LP is: 6 units.
What is a Chord in Geometry?In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.
What is the Congruent Chords Theorem?In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.
In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.
According to the congruent chords theorem, NS = PS, thus:
8 = 2x - 6
8 + 6 = 2x
14 = 2x
Divide both sides by 2
14/2 = 2x/2
7 = x
x = 7
LP = 1/2(12)
LP = 6 units.
In summary, applying the congruent chords theorem, the value of x is: 7.
Length of segment LP is: 6 units.
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NEED HELP!! WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
A function will not have two points that can be crossed through with a vertical line.
ADC is a triangle
AED and ABC are straight lines
EB is parallel to DC
Angle EBC = 148
Angle ADC = 63
Work out the size of angle EAB
Answer:
Angles EAB = 85 degrees
Step-by-step explanation:
This my answer with the working steps...
A café lunch special offers a cup of soup and salad for $8.99, a cupof soup and half sandwich for $6.49, or a sandwich and fruit cup for $7.59Two friends order the soup and salad, 1 friend orders the souphalf sandwich, and 3 friends order the sandwich and fruit cup.They leave an $8 tip. How much do the friends spend on all?
$55.25
Explanation
Step 1
Let:
a cup of soup and salad= $ 8.99
a cup of soup and half sandwich =$6.49
sandwich and fruit cup = $7.59
so, the total is
total = (2 times 8.99)+(1 time6.49)+(3* 7.59)+tip
so
\(\begin{gathered} \text{ total = (2}\cdot8.99)+(6.49)+(3\cdot7.59)+8 \\ total\text{ = 17.98+6.49+22.77+8} \\ total\text{ =}55.25 \end{gathered}\)therefore, the answer is
$55.25
I hope this helps you
What’s the slope I need help
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
can someone please answer because I need to know now !
Answer:
its option 2 because the y values don't repeat
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
(someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts)
b) An experiment consists of picking at random a bit string of length four. Consider the following events:
E: the bit string chosen begins with 01;
E2: the bit string chosen ends with 10.
Determine whether E, and E₂ are independent. Show your work. (6 pts)
a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:
(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361
hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.
b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.
The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).
The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.
The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.
To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:
P(E and E2) = P(E) x P(E2)
Substituting the probabilities we have calculated, we get:
1/8 = (1/4) x (1/4)
Since this equation is true, we can conclude that events E and E2 are independent.
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the marijority of the population in the United states _________.
A. French
B.spanish
C.English
D.native languages