Answers
The new equation of graph will be-
y = 5ˣ - 4y = 5ˣ⁻⁵y = 5⁻ˣExplain the term translation?Each point in such a figure is moved the same distances in same direction using a kind of transformation known as translation.A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Each point in an image is thought to reflect other figure when they are all equally spaced apart from one another.For the stated conditions.
The equation of the graph is given as-
y = 5ˣ
Part a: f(x) is shifted 4 units downward,
y = 5ˣ - 4, is the new image location.
Part b: f(x) is shifted 5 units left,
, y = 5ˣ⁻⁵, change in the y axis with negative sign.
Part c: f(x) is reflected about the y axis.
y = 5⁻ˣ, x coordinates will change, keeping the y axis same.
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Related Questions
NO LINKS!! Describe the set of all points P(x, y) in a coordinate plane that satisfy the given condition. Part 2
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Part (d)
If xy > 0, then the two items x and y must have the same sign.
Examples where x,y are both positive
x = 2 and y = 5 leads to xy = 2*5 = 10x = 7 and y = 4 leads to xy = 7*4 = 28Examples where x,y are both negative
x = -1 and y = -9 leads to xy = -1*(-9) = 9x = -12 and y = -3 leads to xy = -12*(-3) = 36This places us in either the first quadrant or third quadrant (Q1 and Q3)
Q1 is where x > 0 and y > 0 (northeast corner)Q3 is where x < 0 and y < 0 (southwest corner)Answer: The set of all points in quadrants I and III (x and y have the same sign)======================================================
Part (e)
If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.
Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.
Answer: The set of all points below the x axis======================================================
Part (f)
If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).
Answer: The set of all points on the y axis.Answer:
(d) The set of all points in quadrants I and III (x and y have the same sign).
(e) The set of all points below the x-axis.
(f) The set of all points on the y-axis.
Step-by-step explanation:
The Cartesian plane is divided into four quadrants.
Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.
Quadrant I: x > 0 and y > 0 → (x, y)Quadrant II: x < 0 and y > 0 → (-x, y)Quadrant III: x < 0 and y < 0 → (-x, -y)Quadrant IV: x > 0 and y < 0 → (x, -y)Part (d)
For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.
x and y are both positive in quadrant I.x and y are both negative in quadrant III.Therefore, the description that satisfies the given condition is:
The set of all points in quadrants I and III (x and y have the same sign).Part (e)
For y < 0, y is always negative.
y is negative in quadrant III.y is negative in quadrant IV.Quadrants III and IV are below the x-axis.
Therefore, the description that satisfies the given condition is:
The set of all points below the x-axis.Part (f)
The only place where x = 0 is the y-axis.
Therefore, the description that satisfies the given condition is:
The set of all points on the y-axis.
which statement is true of the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2
Answers
The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
Given, two functions y = -2f(x) = 1/x
To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.
Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.
Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
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Answer number 1 please.
Answers
\( \sf {a}^{2} = {13}^{2} - {5}^{2} \)
Formula :
Base²= Hypotenuse² - Perpendicular ²
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} =169 - 25\)
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} =144\)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = \sqrt{144} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = \sqrt{12 \times 12} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = 12\)
Remember the a² in formula has nothing to do with the a we have to find. :)
\(\bold{\huge{\pink{\underline{ Solution }}}}\)
\(\bold{\underline{ Given :-}}\)
We have a right angled triangle whose two sides that is perpendicular and hypotenuse are 5 units and 12 units\(\bold{\underline{ Let's\: Begin:-}}\)
According to the Pythagoras theorem, Pythagoras theorem states that the sum of squares of two small sides that is perpendicular height and base are equal to the square of longest side that is hypotenuseThat is,
\(\sf{\red{ ( Base)² + ( Perpendicular )² = ( Hypotenuse)²}}\)
\(\sf{ ( a )² + ( b )² = ( c )²}\)
Subsitute the required values,
\(\sf{ ( a )² + ( 5 )² = ( 13)²}\)
\(\sf{ a² + 25 = 169}\)
\(\sf{ a² = 169 - 25 }\)
\(\sf{ a² = 144}\)
\(\sf{ a = √144}\)
\(\sf{ a = 12}\)
\(\sf{\blue{ Hence,\: Length \:of \:a\: is \:12 units }}\)
A body of 60000g is moved through a distance of 8m. Calculate the work done. [take g=10m/s^2]
Answers
Answer:
8m=10m
Step-by-step explanation:
please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3
Square root of 29
Square root of 21
7
Answers
Answer:
\(\sqrt{21}\)
Step-by-step explanation:
Use the pythagorean theoreom, a^2+b^2=c^2.
We know the hypontenuse and one of the sdes
a^2+2^2=5^2
a^2+4=25
subract four from both sides to isolate variable
a^2=21
square root both sides and you have the answer of sq root 21!
Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem
Holly scored an 88, 91, 89, 84, and a 98 on the last five math tests. What is her mean test score?
Answers
Answer:the mean is 90
Step-by-step
you find the sum of the values then divide them by the amount of numbers in the set
Let events A and B and sample space S be defined as the following intervals: S = {x : 0 ≤ x ≤ 10} A = {x : 0 < x < 5} B = {x : 3 ≤ x ≤ 7} Characterize the following events: (a) A C (b) A∩B (c) A∪B (d) A∩B C (e) A C ∪ B
Answers
The sample space of an event is the list of possible elements of the event.
The set elements are:
Ac = {x : 0, 5 ≤ x ≤ 10}A n B = {x : 3 ≤ x ≤ 4}A ∪ B = {x : 0 < x ≤ 7}A∩Bc = {x : 1 ≤ x ≤ 2} A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}How to determine the intervals of the subsetsThe given parameters are:
S = {x : 0 ≤ x ≤ 10}
A = {x : 0 < x < 5}
B = {x : 3 ≤ x ≤ 7}
(a) Ac
This represents the list of elements in the universal set not in set A.
So, we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
(b) A ∩ B
This represents the list of common elements in sets A and set B.
So, we have:
A n B = {x : 3 ≤ x ≤ 4}
(c) A ∪ B
This represents the list of all elements in sets A and set B, without repetition.
So, we have:
A ∪ B = {x : 0 < x ≤ 7}
d) A∩Bc
Given that:
B = {x : 3 ≤ x ≤ 7}
So, we start by calculating B^c i.e. the list of elements in the universal set not in set B.
So, we have:
Bc = {x : 1, 2, 8 ≤ x ≤ 10}
A∩Bc would then represent the list of common elements in sets A and set Bc
So, we have:
A∩Bc = {x : 1 ≤ x ≤ 2}
(e) A^c ∪ B
In (a), we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
Given that:
B = {x : 3 ≤ x ≤ 7}
A^c ∪ B would then represent the list of all elements in sets Ac and set B
So, we have:
A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}
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9.6 (×-2.5)=-19.2
Please help
Answers
Evaluate the expression 4w² + w-6, when w = -4
a.) 54
b.) 22
c.) -54
d.) 74
Answers
\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)
Step-by-step explanation:
\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)
Solve. Write your answer in simplest form using integers, fractions, and common logarithms.
2* = 7
X =
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\(\textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \\\\\\ \textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2^x=7\implies \log(2^x)=\log(7)\implies x\log(2)=\log(7) \\\\\\ x=\cfrac{\log(7)}{\log(2)}\implies x=\log_2(7)\)
if you subtract 1/8 from a number and multiply the result by 1/4 you get 1/16. what is the number
Answers
Answer:
(x - 1/8) * 1/4 = 1/16
x - 1/8 = 1/16
x = 1/16 + 1/8
x = 3/8
A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.82 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01.
Answers
Answer:
Yes the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 51\)
The sample mean is \(\= x = 2.03\)
The sample standard deviation is \(\sigma = 0.82\)
The population mean is \(\mu = 1.75\)
The level of significance is \(\alpha = 0.01\)
The null hypothesis is
\(H_o : \mu = 0.82\)
The alternative hypothesis is
\(H_a : \mu >1.75\)
The critical value of the the level significance \(\alpha\) obtained from the critical value table for z-value is \(z_\alpha = 2.33\)
Now the test statistic is mathematically evaluated as
\(t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }\)
substituting values
\(t = \frac{ 2.03 - 1.75 }{\frac{0.82}{\sqrt{51} } }\)
\(t = 2.44\)
From that calculated and obtained value we see that the critical value of the level of significance is less than the test statistics so we reject the null hypothesis
Hence there sufficient evidence to proof that the sample data indicates that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
A backpack that normally sells for 400 dollars is on sale for 33 percent off. Find the new sale price
Answers
Answer:
268
Step-by-step explanation:
400 - 0.33 * 400 = 268
a 90% confidence interva is constructed for the population mean. If a 95% confidence interval had been constructed instead (everything else remaining the same), the width of the interval would have been__and the p
Answers
Answer: increased
Step-by-step explanation:
An x% confidence interval indicates that a person can be x% confident that true population parameter lies in it.More level of confidence more width of the interval.
As level of Confidence interval increases width of interval increases.
Width of interval \(\propto\) level of Confidence interval
So, If a 95% confidence interval had been constructed instead of 90% the width of the interval would have been increased.
Is the relation exponential or linear or neither (15,10)(16,20)(17,40)(18,70)
Answers
9514 1404 393
Answer:
neither
Step-by-step explanation:
The x-values have a common difference of 1. The y-values have first differences of 10, 20, 30. The second differences are constant at 10, indicating a quadratic relation.
The relation is neither exponential nor linear.
_____
y = 5x^2 -145x +1060
The probability is 0.7 that a person shopping at a certain store will spend less than $20. For random samples of 28 customers, find the mean number of shoppers who spend less than $20.
Answers
Answer:
approximately 19~20 shopper
Step-by-step explanation:
this case binomial distribution
X~B(n,p)
X: number of shoppers who spend less than 20$
n=28
p=0.7
use mean of binormal distribution E(X)=np
Answer)
E(x) =28*0.7=19.6
thus approximately 19~20 shopper
What is the role of a computer programmer?
to add memory
to provide output
to review processes
to create algorithms
Answers
Answer: to create algorithms
Step-by-step explanation:
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answers
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
Answers
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
What is the solution to the equation below? 2 + √3x + 4-6 O A. x = 16 O B. X=- لالها OC. x = 4 O D. X=- -29
Answers
Please help and fast for brainliest
The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:
Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.
The number of gallons of white paint mixed with 1 gallon of green paint is ______.
Answers
Answer:
3 gallons
Step-by-step explanation:
For every value of green ( 'x') ....white is 3 times as much
for 1 gallon green ====> 3 gallons white
Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data. Number of sit-ups: 20, 20, 23, 25, 25, 26, 27, 29, 30, 30, 32, 34, 37, 38
Answers
The median value is 26.5, the first quartile is 24, the third quartile is 35.5, and the highest value is 38. The lowest value is thus 20.
How to find out mean median and first quartile?We can plot the data on a number line to determine the data's least value, first quartile, median, third quartile, and greatest value:
20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\s| | | |
The leftmost number on the number line and the lowest value is 20.
We can split the data into four equal sections to determine the quartiles. The data's middle value is known as the median. We choose the average of the two middle values because there are an even number of data points. The midpoint is:
(26 + 27)/2 = 26.5 is the median.
We calculate the median of the lower half of the data to determine the first quartile:
(23 + 25)/2 = 24 for the first quartile.
We determine the median of the upper half of the data to determine the third quartile:
Third quartile: (34.5) ((34 + 37)/2)
The rightmost number on the number line, 38, has the highest value.
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Help please! Show all your work.
Answers
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
hen traveling by train, the average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. If the train takes 2 hours, and the average speed is 120 mph. Determine the constant of variation
A: 1/60 miles
B: 120 miles
C: 60 miles
D: 240 miles
will mark brainliest pls help
Answers
The constant of variation of the given problem is calculated as; 240 miles
How to find the constant of variation?A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).
Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;
s ∝ 1/t
Thus;
s = k(1/t)
where k is the constant of proportionality
we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;
120 = k(1/2)
Multiply both sides by 2 to get;
240 miles = k
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the following are weekly production in unit of 60 workers in a
manufacturing company.
23
77
32
59
20
48
25
54
69
42
51
64
82
19
33
50
39
72
35
39
52
48
64
49
57
41
72
62
67
46
55
52
82
44
75
56
51
53
57
75
85
68
55
52
45
40
46
51
50
16
62
56
154
40
155
88
49
63
57
75
the management has decided to give bonus of RS.5,10,15,20,&25 to each
worker in the respective output of 40 and over in the interval of 10 of
weekly output find the average bonus received by the worker.
Answers
Answer:
Step-by-step explanation:
Evaluate the expression if x = -3, y = 5, and z=2. (If an answer is undefined, enter UNDEFINED.)
x+y+z/
4y²x
Answers
The value of the expression (x + y + z) / (4xy²) at x = -3, y = 5, and z = 2 will be - 1/8.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x + y + z) / (4xy²)
The expression if x = -3, y = 5, and z = 2. Then the value of the expression is given as,
⇒ (-3 + 5 + 2) / (4 × (-2) × (2)²)
⇒ - 4 / 32
⇒ - 1 / 8
The value of the expression (x + y + z) / (4xy²) at x = -3, y = 5, and z = 2 will be - 1/8.
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Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)
Answers
A graph of the given piecewise-defined function is shown in the image below.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.
In conclusion, this piecewise-defined function has a removable discontinuity.
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Z=2x+6xy
solve for x
Answers
Answer:
x = z / (2 + 6y)
Step-by-step explanation:
z = 2x + 6xy
take out the x from the right side of the equation.
z = x(2 + 6y)
divide both sides by (2 + 6y)
z / (2 + 6y) = x
Answer:
Step-by-step explanation:
2x + 6xy = Z
2x(1 + 3y) = Z
x = Z/(2 + 6y)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
plsss answer ASAP i really need this fast
Answers
Answer:
650
Step-by-step explanation:
13 into 70 goes 5 times.
5×13=65
13 into 2 goes 0 times.
0×13=0
.•. answer is 650
Answer:702
Step-by-step explanation:
The answer is 254.You see how many time 702 goes into 13 and its 54 .We already have the 50 so there is the 4.