The function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6
What is the explanation for the above?Given:
f(x) = -x + 3...............1
Transformation is 3 units up from the graph of F
hence,
g(x) = f(x) + 3...........2
Recall that f(x) = -x+3 Hence
Substituting f(x) in to Equation 2
We have:
g(x) = -x + 3 +3, hence
g(x) = -x + 6
Hence we can conclude that the function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6.
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6. You just had surgery on your knee. As part of rehabilitation your physical
therapist wants you to walk 1 minute on day 1 and double your time every day. How
many minutes will you be walking on day 7?
64 minutes
Step-by-step explanation:
1x2=2 it day one
2x2=4 it day two
and more
32x2=64 it day 7
Gabriel is deciding between two different movie streaming sites to subscribe to. Plan 1 cost $22 per month plus $1 per movie watched. Plan 2 cost $14 per month plus $3 per movie watched. Create a system of equations to represent this situation. Explains how many movies, x, would cause the two plans to have an equal monthly cost.
The number of movies that would make the monthly cost equal is 4.
What is the number of movies when the plans' cost would be equal?The total monthly cost is a function of the cost per month, total movies watched and the cost per movie.
The equations that represent the total cost of using the streaming sites would be in the form:
Total cost = cost per month + (number of movies watched x cost per movie)
Plan 1: $22 + ($x)
Plan 2: $14 + (3x)
When both plans have the same monthly cost, the two above equations would be equal
$22 + x =$14 + 3x
In order to determine the value of x, take the following steps:
Combine similar terms: $22 - $14 = 3x -x
Add similar terms together: $8 = 2x
Divide both sides of the equation by 2: $8 /$ 2 = x
x = 4
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Solve the equation, and enter the solutions from least to greatest. If there is only one solution, enter "n.a." for the second solution. or Reset Nextelect the correct answer from each drop-down menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator. 1/x+1/x-10=x-9/x-10
We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.
An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.
[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]
[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]
Therefore the solution of the equation is x=1 and x=10.
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Isabella needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4.25 hours and charged her $144
for parts. The total was $547.75. Which equation or tape diagram could be used to
represent the context if a represents the cost of labor per hour?
The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.
What is an equation?A mathematical equation that represents the relationship of two expressions on either side of the sign.
It has one or more variables and equal to symbol.
Example: 3x – 5 = 5
We have,
Time spent fixing the computer = 4.25 hours
Cost of parts = $144
Total cost = $547.75
Cost of labor per hour = a
Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:
= 4.25 x a
= 4.25a
We can write an equation as:
547.75 = 4.25a + 144
Thus the tape diagram in option D is the correct answer.
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What is the area of this tile?
6 in.
8in.
Answer:that would be 24
Step-by-step explanation: A triangle is a three side shape so after you multiply 6 and 8 thats 48 but then you multiply by 1/2 which is the same as dividing by 2 so (48/2)=24 and thats your answer hope this helps
<6 and <7 form a linear pair. Twice the measurement of <6 is twelve more than four times the measurement of <7. Find the measurement of each angle.
A linear pair , m∠7 = 58°, m∠6 = 122° are the measurement of each angle.
What is Linear Pair?
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Linear Pairs add up to equal 180°.
Step 1: Define
m∠6 + m∠7 = 180°
2m∠6 = 4m∠7 + 12
Step 2: Rewrite systems of equations
I will set m∠6 = x and m∠7 to y
x + y = 180°
2x = 4y + 12
Step 3: Rewrite 2nd equation
2x = 2(2y + 6)
x = 2y + 6
Step 4: Use Substitution
2y + 6 + y = 180
3y + 6 = 180
3y = 174
y = 58°
Step 5: Find x by plugging y back into an original equation
x + 58 = 180
x = 122°
Step 6: Rewrite
x = m∠6
y = m∠7
m∠6 = 122°
m∠7 = 58°
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Find the product of 2√/18 and 2√5 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
2√10/3 is irrational number
The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.
The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.
Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.
Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.
After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:
For instance, 8 = 2.828
MULTIPLYING THE TWO NUMBERS,
2/√18 x 2√5
= 2 /3√2 x 2√5
= 4√5/3√2
= 2√2 x √5 /3
= 2√10/3
rational number multiplied by an irrational number is always a irrational number.
Since √10 is a irrational number, therefore, 2√10/3 is irrational number.
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Evaluate
4(x+3)(x+1)
(x+5)(x-5)
for x = 3.
Answer: -1536
Step-by-step explanation:
1: 4(3+3) (3+1) (3+5) (3-5)
2: 4(6) (4) (8) (-2)
3: 24 (4) (8) (-2)
4: 96 (8) (-2)
5: 768 (-2)
= -1536
A pilot flew a jet from City A to City B, a distance of 2000 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 9 h 10 min. What was the speed from City A to City B?
A pilot flew a jet from City A to City B, a distance of 2000 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 9 h 10 min. What was the speed from City A to City B?
Match the mathematical expression with its translation.
1 .
x divided by y
6 x = y
2 .
the product of two numbers
x + y = 6
3 .
x subtracted from y
4 .
the sum of two numbers is six
x + y
5 .
the product of two numbers is six
x - y
6 .
x minus y
y = x - 6
7 .
the sum of x and y
xy
8 .
six times a number equals y
y ÷ x
9 .
y divided by x
y - x
10 .
six less than a number is y
xy = 6 HELP...
Answer:
x divided by y - x/y
the product of two numbers - xy
x subtracted from y - y-x
the sum of two numbers is six - x+y=6
the product of two numbers is six - xy=6
x minus y - x-y
the sum of x and y - x+y
six times a number equals y - 6x=y
y divided by x - y divided by x
six less than a number is y - y=x-6
Step-by-step explanation:
Regular insulin is ordered iv at 7 units/hour. the iv bag contains 100 units of regular insulin in 100ml of d5w. the iv rate should be how many ml/hr? (round to the nearest whole number
The iv (insulin rate) rate should be 7 ml/hr.
Here,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
We have to find the iv rate.
What is insulin rate?
Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.
Now,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr
So, The iv (insulin rate) rate should be 7 ml/hr.
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What is the decimal number 34.567 written in expanded form?
A: An expression that reads three times ten, plus one times one, plus five times one-tenth, plus seven times one-hundredth, plus four times one-thousandth
B: An expression that reads three times ten, plus three times one, plus six times one-tenth, plus seven times one-hundredth, plus five times one-thousandth
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
D: An expression that reads three times ten, plus seven times one, plus five times one- tenth, plus four times one-hundredth, plus six times one-thousandth
Answer:
option 3
Step-by-step explanation:
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.
False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.
A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.What does the term "echelon form" mean?
If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.What purpose does echelon matrix serve?
By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.Learn more about echelon form
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Shifting data, by adding a constant to each data value, does not change the _________.
A. quartiles
B. mean
C. standard deviation
D. median
The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.
Hence, the correct option is C, standard deviation.
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Eight families live on abbie's street. she asks each family how many pets they have. abbie's data set is: 0, 0, 1, 1, 2, 2, 2, 5. the modal number of family pets on abbie's street is:__________
Answer:
Step-by-step explanation:
It is asking for the "mode" which is the data element you see the most, therefore it is 2.
-1/2 is equivalent to 1/2
Answer: No
Step-by-step explanation:
No because its off by 1 point, -1/2, 0, 1/2
Solve the following inequalities:
|x+2|<|x+1|
|x^2 + x -12|=x^2 +2x -6
|x-5|+|x+2|<8
The values of x are 3/ 2, 6 and 1/ 2 respectively.
How to solve the inequalitiesGiven the inequalities;
|x+2| < |x+1||x^2 + x -12| = x^2 +2x - 6|x-5| + |x+2| < 8|x+2| < |x+1|
collect like terms
|x + x| < |1 + 2|
add like terms
|2x| < |3|
Make 'x' the subject
|x| < |3/ 2|
|x^2 + x -12| = x^2 +2x - 6
Take the absolute values of the expression
x² + x + 12 = x² + 2x - 6
collect like terms
x² - x² + x - 2x = -6 + 12
- x = 6
x = 6
|x-5|+|x+2|<8
Take absolute values
x + 5 + x + 2 < 8
collect like terms
2x + 7 < 8
2x < 8 - 7
Make 'x' the subject
x < 1/ 2
Thus, the values of x are 3/ 2, 6 and 1/ 2 respectively.
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The length of a rectangle is three more than double the width. if the perimeter is 78 inches, find the dimensions.
The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.
We need to find the dimensions of the rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be x.
Then, length=2x+3
Now, perimeter=2(2x+3+x)
⇒ 78=2(3x+3)
⇒ 3x+3= 39
⇒ 3x=36
⇒ x=12 inches
So, width=12 inches and length=2x+3=27 inches
Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
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12. FIND THE ERROR A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.
Here is what the student wrote (re-pasting for clarity)
C = 1.9 x 9.95
C = 18.91
C = $18.91
The error happens in the 1st line
Why? Because the 1.9 should be 1.09
The 1.9 represents a tax of 90% when we want a 9% tax instead
In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9
-----------------
This is what the steps should look like
C = 1.09 x 9.95
C = 10.8455
C = 10.85
Don't forget to round to the nearest hundredth, aka nearest penny.
The total cost, after sales tax, is $10.85
The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a standard deviation of 0.5. Both distributions are close to symmetric in shape.
Use the mean and standard deviation to compare the scores of the two groups.
The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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Please help me out with 3 questions..
Each part of the question is plotted on the number line as an image with the solution.
How are rational numbers represented on the number line?
On the number line, rational numbers could be represented. Origin refers to the numeric line's center (O). The illustration of rational numbers shows positive numbers here on the right side of zero, or the origin, and negative numbers on the left. Depending on the kind of fraction, rational numbers are represented differently on the number line.(1) [tex]\frac{-3}{8} , 1\frac{1}{5} = \frac{6}{5} = 1.2 , \frac{-3}{4}[/tex] are plotted on the number line as an image with the solution.
(2) -13+15+(-8) = -6 is plotted on the number line as an image with the solution.
(3) [tex]\frac{3-(-14)}{7} = \frac{17}{7} = 2.429, \frac{-36+58}{-11} = -2[/tex] are plotted on the number line as an image with the solution.
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If f ( x ) = 3 x + 2 and g ( x ) = x 2 − x , find the value. f ( 4 )
EASY LOOKING FOR ANSWER HELP
Answer:
I forgot the answer
Step-by-step explanation:
3.2*10^8, 1.2*10^8, 7*10^5, 5*10^3
which of the following pairs of ratios form a proportion? a. 9 boys to 5 girls and 12 boys to 8 girls
Answer:
12 to 8
Step-by-step explanation:
cuz i am smart pls mark me brainliest
x^5y^5z^3 =?
A. bases are different, so this can't be done.
B. xy5z3
C. (xy)5z3
To simplify the indices expression x⁵y⁵z³, we can conclude that; A. bases are different, so this can't be done.
How to simplify Indices?We want to simplify the indices given as;
x⁵y⁵z³
Now, we can see that the bases are different and as such it means they cannot be simplified using laws of indices on the exponents.
This is because when the bases are different, the expression cannot be factored with the exponents being added, subtracted, divided or multiplied.
Thus, we will conclude that the bases are different, so this can't be done.
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which expressions below equal a rational number? select all that apply.
The expressions that are equal to a rational number are [(2/3)+(4/5)], [(√3) - (√3)], and [(√49)(√1)].
A rational number is one that can be stated as the ratio of two numbers, with the denominator not equal to zero.All real numbers that are not rational numbers are referred to as irrational numbers. The ratio of two integers cannot be used to express irrational values.(a) π√4π√4 is equal to 2π, which is an irrational number.(b) (2/3)+(4/5)(2/3)+(4/5) = (22/15), which is a rational number.(c) (√36)-(√5)(√36)-(√5) = 6-√5, which is an irrational number.(d) (√3)-(√3)(√3)-(√3) = 0, which is a rational number.(e) (√49)(√1)(√49)(√1) = 7*1 = 7, which is a rational number.To learn more about real numbers, visit :
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1. Latoya earns $1.75 an hour for each child she baby-sits. How much does she earn if she baby- sits 3 children for 4 hours?
2. James works at a department store and receives a 25% discount on his purchases. He purchases some new clothes at the store and his total before the discount is $145.20. What is James's total after the discount?
3. Kegan borrows $78 from his sister. He will pay her back over a 4-week period. If he pays the same amount each week, how much will he have paid back after the third week?
4. Ashley stops by the grocery to pick up a few items. She buys a loaf of bread for $1.09, a pound of turkey for $4.59, 2 cans of soup for $0.79 each, and 4 oranges for $0.27 each. How much money does Ashley spend at the grocery?
5. Jackie buys a one-way ticket to Nevada and a one-way ticket back home. Each way costs $118. Joe buys a round-trip ticket to Nevada for $227. Whose ticket is less? By how much?
Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) less cost results in the profit in money terms.
A "selling price" is the price that the seller gives. something that he/she wants or is offering to sell. The item has not been sold. yet. A "sale price" could be the price that was actually paid by a buyer
1.
she earns if she babysits 3 children for 4 hours= $63.
solution :
Given :
Latoya earns $1.75 an hour for each child she babysits
Total Number of babysitting hours for 3 child= 3x12=36 hours
let,
Total amount earned by Latoya: S
S= 36x1.75
S= $63
she earns if she babysits 3 children for 4 hours= $63.
2.
James's total after the discount = $108.75
Given :
his total before the discount is $145.20
receives a 25% discount on his purchases
Solution :
Buy price = MRP X DISCOUNT /100
Let the Buying price is c
c = 145x25/100
c = 145/4
c= $ 36.25
= MRP - DISCOUNT
Let James's total after the discount = p
p= 145-36.25
p= $108.75
3.
paid back after the third week= 19.5
Given :
Kegan borrows $78 from his sister.
Time = 4 week
each week Payment = 78/4=19.5
paid back after the third week= 19.5
4.
Ashley spends at the grocery= $8.34
Solution :
a loaf of bread = $1.09,
a pound of turkey = $4.59,
2 cans of soup =2x$0.79 each=$ 1.58
4 oranges = $0.27 x4= $1.08
Ashley spend at the grocery= 1.09 + $4.59, +$ 1.58+ $1.08 =$ 8.34
Ashley spends at the grocery= $8.34
5.
joe ticket is less Jackie's by 236-227= $9
Solution :
Jackie buys a one-way ticket to Nevada=$118
a one-way ticket back home=$118
Total = $118x2 =$236
But
Joe buys a round-trip ticket to Nevada for $227
joe ticket is less Jackie's by 236-227= $9
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6. The value of a car is gradually declining in such a way that at the end of each year it is worth in January 2002 6 of its value at the beginning .it was worth 36000,000 in January 2000. What was its worth in January 2002?
Answer:
the value of a car is gradually declining in such a way that at the end
Step-by-step explanation:
I don't know what to say
В
2x – у = 3
19x - 6y = 6
Answer:
work is shown and pictured
If Bill wants to find the average of his family's heights. If his brother is 60 inches tall, his
sister is 58 inches tall, his mother 64 inches tall, and his father 72 inches tall, how tall
does Bill need to be to have an average family height of at least 62 inches?
Answer: 56 inches
Step-by-step explanation:
a. 60+58+64+72=254 (Add the average of his family without including him)
a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)
b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)
you can check your answer by adding all their heights.