Answer:
It is shifted left 5 units and up 2 units from the parent function.
Step-by-step explanation:
Given
[tex]y = \frac{1}{x}[/tex]
[tex]y' = \frac{1}{x+5} + 2[/tex]
Required
Compare both functions
First, translate y, 5 units left.
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex]y = \frac{1}{x}[/tex]
[tex]y_1 = \frac{1}{x + 5}[/tex]
Next, translate y1, 2 units up.
The rule is:
[tex](x,y) \to (x,y+2)[/tex]
So, we have:
[tex]y' = y_1 + 2[/tex]
[tex]y' = \frac{1}{x + 5} + 2[/tex]
Hence, the transformation is:
5 units left and 2 units up
Answer:
b
Step-by-step explanation:
(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft
B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.
First of all, sea level is at 0 ft.
Thus;
If city A has an elevation of 80 ft below sea level, then;
Elevation of city A = -80 ft
The elevation of city C is 16 feet below sea level. Thus;
Elevation of city C = -16 ft
A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;
Expression for Elevation of city D = ¹/₂ × (-16)
B) Solving the expression for elevation of city D gives;
Elevation of City D = -8 ft
The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Read more about below sea level elevations at; https://brainly.com/question/14837848
Answer:
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
6(31)+6(4)-6(15) mental math form
[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]
ok done. Thank to me :>
Consider the equation of a circle If the line is its diameter. Then find the value of a.
Answer:
more info??? bc that doesn't make sense i guess
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answer: Give me the table and ill answer..
Step-by-step explanation:
help me please thanks
Answer:
9.25 would be the value of x
Explanation:
Perimeter = 2(l + w)
2(13.25 + 9.25)
= 45
Find the GCF and LCM for 16 and 24.
Greatest Common Factors (GCF) of 16 and 24 = 8
Least Common Multiple of 16 and 24 = 48
GCF means Greatest Common Factors
Factors of 16 = 1, 2, 8, 4, and 16
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24
Common Factors of 16 and 24 = 1, 2, 4, and 8
Greatest Common Factors (GCF) of 16 and 24 = 8
LCM means Least Common Multiples
Multiples of 16 = 16, 32,48, 54.....
Multiples of 24 = 24, 48, 72....
The Least Common Multiple of 16 and 24 = 48
Learn more on GCF and LCM here: https://brainly.com/question/219464
Find the perimeter of the figure.
[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]
[tex]perimeter = 72 \: \: cm[/tex]
Solveee
8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4
118 - 65x - 123 = 5x + 35 - 20x
Answer:
1)[tex]x = 3[/tex]
2) [tex]x = - \frac{4}{5} [/tex]Step-by-step explanation:
To know the solution with Proof .Refer To the above attachments .Hope this helps you !!Answer:
Step-by-step explanation:
distribute the 8,17,and 4 throughout the parentheses to get
8x-8+17x-51=16x-36+4
combine like terms
25x-59=16x-32
subtract 16x from both sides and add 59 to both sides to get
9x=27
divide both by 9
x=3
A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Bill was for $28.35. A 20% tip would come to $5.67. If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)
= $35.79 (total)
please give brainlist
From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.
construct and interpret a 95% confidence interval for the true mean score.
Answer:
The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]
Step-by-step explanation:
Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.
Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]
4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.
Answer:
18/100 or 9/50
Step-by-step explanation:
First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.
You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)
Answer:
Do PRT: 5009.31
Step-by-step explanation:
Princable: 5000
Rate: 2.5
Time: 10
Answer:
–3 2/6 ÷ 1 1/2=
A. 9/20
B. -3 2/3
C. -2 2/9
D. -5
Answer:
its C
1.convert the mixed number to an improper fraction
([tex]\frac{-20}{6\\}[/tex] x [tex]\frac{2}{3}[/tex] )
2. reduce the numbers with the greatest common factor (2)
[tex]\frac{-20}{3}[/tex] x [tex]\frac{1}{3}[/tex]
3. then multiply and get
[tex]\frac{-20}{9}[/tex]
4. then reduce to get
-2[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).
Answer:
B
Step-by-step explanation:
To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.
So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.
Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y
Answer:
(0,-15)
Step-by-step explanation:
i think.. trust someone else!! I'm not 100% sure...
2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed.
Answer:
hello which grade question i
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y= -4/2x+ -4
Step-by-step explanation:
looked at the graph
Arrange the following numbers in increasing order.
2.3, 45.1, 18.735, 0.9862, 7
Step-by-step explanation:
1. 0.9862
2. 2.3
3. 7
4. 45.1
5. 18.735
Pre college need help with
Answer:
check online for more information
Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
hope this helps.
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х
Answer:
Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:
[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.
(I know, dividing by 3 both sides of the equations would have made the whole process way easier).
Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.
need help with math probelem i will give you 5 stars and a good rating
Answer:
8 feet
Step-by-step explanation:
12 x 2 =24
40 - 24 = 16
16 /2 = 8
Hope it helps :)
A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?
QUICK
Answer:
$10.26
Step-by-step explanation:
$4.98x0.03= 0.1494,
4.98+0.1494= 5.13
2; 5.13+5.13= 10.26
Answer:
$10.26
Step-by-step explanation:
$4.98*103/100=x
x=5.1294
2 pounds=2x=$10.2588=$10.26
What is the sale price with 15% off? Original price: $110 of bears head phones
Answer:
93.5
Step-by-step explanation:
Six points are plotted on the number line.
Which points on the number line are opposites?
Answer: P and U
Step-by-step explanation:
Which expression is equivalent to (6x + 12)?
Answer:
2(3x + 6)
Step-by-step explanation:
use technology to find points and graph the line x - 3y = -6
how do i solve for this?
Question is in image
In the diagram below, ST is parallel to PR
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)