Answer:
numeric
Step-by-step explanation:
let f(x)= |x-4| +1. write a function g whose graph is a vertical shrink of the graph of f by a factor of 1/3
The function g(x) is (|x-4| +1)/3.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.To learn more about functions, visit :
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Solve P = 2L+ 2W for L.
Question content area bottom
L= ?
find the midpoint of a line segment with endpoints A(-5,5) and B(2,-5)
Answer:
(-1.5,0)
Step-by-step explanation:
Find the average for the x and y values.
x = [tex]\frac{(-5+ 2)}{2}[/tex] = [tex]\frac{-3}{2}[/tex] or -1.5
y = [tex]\frac{(5- 5)}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Foundational Concepts Unit Test
22. What is the simplified form of the following expression? (1 point)
11[(92-52)+2248]
0224.5
0242
051.3
0110
The simplified form of the following expression is 51.3.
Given,
11(9²-5²)/(2²+8)
= 11(81-25)/(4+8)
= 11(56)/(12)
= 51.3
Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When simplifying an expression, we combine all similar terms and, if necessary, solve all of the supplied brackets, leaving just the, unlike words that cannot be further reduced.
Combining like terms together and leaving unlike terms alone is the fundamental principle for simplifying phrases. The following is a list of some of the guidelines for simplifying expressions:
Add the coefficients of two or more similar terms together, then include the common variable in the equation.
In the phrase a (b + c) = ab + ac, open the brackets using the distributive property.
Change the sign of all the phrases placed inside that bracket if there is a negative sign right outside the parenthesis to make things simpler.
Simply remove the bracket and put the words as they are, keeping the terms' original signs if there is a "plus" or other positive sign outside of it.
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Which table had a constant of proportionality between y and x of 1/6
Answer: Table which had a constant of proportionality between y and x of 1/6
is table C
Step-by-step explanation:
The meaning of constant proportionality is very simple and that is
ratio of y and x
here
y/x=1/6;
therefore we have to check various options
checking option C
first part:
3/18=1/6;
second part:
(9/2)/27=1/6;(convert mixed fraction into improper fraction)
third part:
(11/2)/33=1/6;
hence ;
Table which had a constant of proportionality between y and x of 1/6
is table C
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A parallelogram has an area of 7 square units. If the height that corresponds to a base is 1/4 unit, what is the base?
Answer: 28 units
Step-by-step explanation:
A=area of parallelogram. h=height. b=base
A=h*b
7=1/4 *b
(7=1/4 *b)*4 ==>Multiply both sides by 4 to get rid of fractions
28=b
b=28 units
Kayla has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6.
What is the probability Kayla rolls an even number on the red cube and a multiple of 3 on the blue cube?
So probability that kayla rolls an even number on the red cube and a multiple of 3 on the blue cube is 16.66 ≈ 16%
Given that we have red number cube and blue number cube so as we all know that Probability is the ratio of the favourable number of outcomes to the total number of outcomes is known as Probability.
First, find the possible outcomes.
Kalya has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6
So, possible outcomes =6×6 =36
Let, S be the sample space.
Then, ⁿ(s) =36
Let, E = the event of getting an even number on the red cube and a multiple of on the blue cube.
E = (2,3),(2,6),(4,3),(6,3),(6,6)
Then, ⁿ(E)=6
Let, P is the probability of the event .
So, P(E)= [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex] = 16.67 percent or 16[tex]\frac{2}{3}[/tex] %
Thus, the probability Kayla rolls an even number on the red cube and a multiple of on the blue cube is 16.66 percent.
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Answer:
16%
Step-by-step explanation:
11. Descartes
has $9. He works 5 hours
and earns $8 each hour. Write an
expression
to represent the situation
Answer: y = 8x + 9
Step-by-step explanation: Descartes begins with only $9.00, so 9 is the y-intercept. He makes $8.00 every hour, so that is the slope.
y = mx + b
m is the slope, and b is the y-intercept.
y=8x + 9
The expression that represents the given situation is y = $49.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it isgiven that,
Descartes has Money = $9
Each hour earning = $8
Total time of work = 5 hours
So, total money earned in 5 hours = 8*5 = $40
Let y be the total money Descartes has.
So total money Descartes has = Money + total money earned in 5 hours
⇒ y = $9 + $40
⇒ y = $49
This is the required expression for the present situation.
Thus, The expression that represents the given situation is y = $49.
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Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
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I don’t get it and it’s confusing me I need help
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8 and JL= 12x. Find KL.
The length of KL is 35 units
How to determine the length KL?The given parameters are:
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8JL= 12x.The above means that
JL = JK + KL
So, we have
5x - 8 + 9x + 2 = 12x
Evaluate the like terms
2x = 6
Divide by 2
x = 3
Substitute x = 3 in KL = 9x + 2,
KL = 9 x 3 + 8
Evaluate
KL = 35
Hence, the length of KL is 35 units
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Sandra bought 4 bars of chocolate and a packet of nuts for $11.50. If a bar of chocolate costs $0.50 less than a packet of nuts, find the cost of a packet of nuts
Answer:
A packet of nuts costs $2.70
Step-by-step explanation:
Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts
4 bars of chocolate will cost $4C
1 packet of nuts costs $P
Total price Sandra paid is $11.50
This can be represented using
4C + P = 11.50 (1)
A bar of chocolate costs $0.50 less than a packet of nuts. So
P - C =0.50
-C + P = 0.50 (2)
Multiply eq (2) by 4 to get
-4C + 4P = 4 x 0.50
-4C + 4P = 2 (3)
Add equations (1) and (3) to eliminate the 4C term
4C + P - 4C + 4P = 11.50 + 2
P+4P = 13.50
5P = 13.50
Dividing by 5 on both sides
5P/5 = 13.50/5
P = 2.70
So a packet of nuts costs $2.70 (Answer)
To verify this is correct,
Use equation (2) to get
-C + P = 0.50
-C + 2.70 = 0.50
Add C to both sides
-C + 2.70 + C = 0.50 + C
2.70 = 0.50 + C
Subtract 0.50 from both sides
2.70-0.50 = 0.50 + C - 0.50
2.20 = C which is C= 2.20
Plug this value into equation (1)
4(2.20) + 2.70 = 8.80 + 2.70 = 11.50
So verified that answers are correct
Andrew can paint the neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 2 days. How long would it take each to paint the house?
Answer:
12 days for Bailey
2.4 days for Andrew
Step-by-step explanation:
If Andrew is 5 times as fast, then Andrew + Bailey are 6 times as fast as Bailey alone.
That means Bailey would take 2*6 = 12 days to paint alone.
Since Andrew is 5 times faster, he'd only take 12/5 = 2.4 days.
f(x) = 7_4z
20
What is the value of f (6).?
0-0
10
10
5
O
O
15
Answer:
f(6) = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
substitute x = 6 into f(x)
f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
Find the slope(m) and y-intercept (b) of each representation below.
m= 15
b= 45
y= 15x +45
Concept:Overall equation
The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.
Slope, m
The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.
[tex]\boxed{\text{Slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]
where [tex](x_1,y_1)[/tex] is the first coordinate and [tex](x_2,y_2)[/tex] is the second coordinate
y-intercept, b
This is the y-value in which the line cuts through the y-axis (vertical axis).
Working:Slope, m
Let's identify two pairs of coordinates on the line.
2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.
The 2 points are: (0, 45) and (5, 120)
Substitute the 2 points into the slope formula:
Slope
= [tex]\frac{120-45}{5-0}[/tex]
= [tex]\frac{75}{5}[/tex]
= 15
Thus, m= 15.
y-intercept, b
From the graph, the line cuts through the y-axis at y= 45.
Thus, b= 45.
Overall equation
Substitute m= 15 & b= 45 into y= mx +b:
∴ The equation of the line is y= 15x +45.
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3.What is the official language of cape verd
Answer:
Portuguese
Step-by-step explanation:
My brother-in-law lived in Cape Verde for 2 years, and he is fluent in Portuguese as a result.
Answer:
Portuguese is the official language of Cape Verde
8 A geometric sequence has all
positive terms. The sum of the
first two terms is 15 and the sum
to infinity is 27.
a
Find the value of the common
ratio.
b Hence, find the first term.
Let the terms be a, ar, ar², ...
The sum to infinity being 27 means that:
[tex]\frac{a}{1-r}=27 \implies a=27(1-r)[/tex]
The sum of the first two terms being 15 means:
[tex]a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}[/tex]
Since all the terms are positive, r>0.
[tex]\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}[/tex]
IV. Are these ratios equivalent? 12 birds to 60 animals 17 birds to 85 animals Yes No
Answer:
True
Step-by-step explanation:
Both fractions simplify to 1/5 and thus are equivalent
If u get it correct I’ll give brainlest
Answer:
pretty sure it’s addition property of equality since you’re adding 5 to 10
Help please im stuck
Answer: 7.2 hours
Step-by-step explanation:
the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4
and 2.4 x 3 = 7.2
First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.
Ride tickets at the fair can be bought in
packs of 5 tickets for $8.75 or 3 tickets for
$6.25. Simone wants to buy 15 tickets. At
these rates, how much more will she spend
if she only buys packs of 3 tickets?
She will spend 5 dollars extra if she only buys packs of 3 tickets.
What is a numerical expression?A numerical expression is written in form of numbers and their operations.
According to the given question we can buy 15 tickets in two ways either buying 5 packs which contain 3 tickets and cost 6.25 dollars each pack or we can buy 3 packs which contain 5 tickets which costs 8.75 dollars.
For the first case if we buy 5 packs of tickets that contain 3 tickets it will cost (5×6.25) dollars = 31.25 dollars.
In the second case buying 3 packs of tickets that contain 5 tickets that will cost us (3×8.75) = 26.25 dollars.
∴ She will spend (31.25 - 26.25) = 5 dollars she will spend extra if she only buys packs of 3 tickets.
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According to a survey conducted by a city’s chamber of commerce, approximately 41.5% of city residents prefer local businesses over national chains. The survey had a margin of error of ±3.8%. Round to the nearest tenth, if necessary.
The values in percentages will be 37.7% and the maximum will be: 45.3%
How to illustrate the information?From the information, the approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.
Therefore, the minimum number will be:
= 41.5% - 3.8%
= 37.7%
The maximum will be:
= 41.5% + 3.8%
= 45.3%
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7. Kiara baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her
friends at school. She wants to divide the cookies into identical containers so that each container has the same
number of each kind of cookie. If she wants to have the greatest number of containers possible, how many
containers does she need? How many oatmeal and chocolate chip cookies will be in each container?
The greatest possible containers required by Kiara is 4.
The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.
What is defined as the highest common factor?The highest common factor, or HCF, is the greatest number that divides each of two or more numbers.HCF is also recognised as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD) .For the given question;
The total number of oatmeal cookies = 12.
The total number of chocolate chip cookies = 16.
Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).
HCF = 4.
Thus, the number of boxes requires is 4.
The oat place in one box is 3. In 4 boxes it will be 12.
Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.
Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.
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Biking Tri
Maureen went on a 3 day, 59 mile biking trip. The first day she biked 15.5 miles. The second day she
biked 21.9 miles. How many miles did she bike on the 3rd day ?
Answer:
21.6 miles
Step-by-step explanation:
59-15.5-21.9= 21.6
or
21.6+15.5+21.9= 59
In the 2009-2010 school year in country A, there were 138,000 foreign students from country B. This number is % more than the number of students from country C. How many foreign students were from country C?
The number of students from country C using mathematical operations is 113,115.
What are the mathematical operations?The mathematical operations are addition, subtraction, multiplication, and division.
These mathematical operations are used to determine the output value, given some input values.
Data and Calculations:The number of foreign students from country B = 138,000
Students from country B are 22% more than the number of students from country C.
Assume that the number of students from country C = 100%
Then the number of students from country B = 122% (100 + 22)
If the number of foreign students from country B is 138,000, which is 22% more, then the number of students from country C is as follows:
The number of students from country C = 113,115 (138,000/1.22)
Thus, the number of students from country C using mathematical operations is 113,115.
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Question Completion:This number is 22% more than the number of students from country C.
help me i need to do this
Answer: 4.5
Step-by-step explanation:
To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
This gives us x = 0.45 in thousands.
Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even.
An athlete is throwing a javelin on an open field, and the image below shows the path, or arc of the javelin's
path, on its journey from his hand to the ground. The path is measured in feet. This example is modeled
by a quadratic function. What are the domain and range of the function, and what do they represent?
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x). The roots of the quadratic equation are the values of x that fulfill the equation (α,β ).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
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4 x 13
4x( ) +( )
(4x ) +(4x )
______+______
Question 3 (1 point)
Solve the following equation for x
X=
Blank 1:
Next Page
Back
4 (x5)-8 (8 + x) = -64 Pls answer quick
Answer: -72 I think
Step-by-step explanation:
Identify the segment bisector of
__
XY
The segment bisector of line segment XY is line n.
The length of the line segment XY is 6 units.
How do you define the line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
A line segment's length can be measured in metric units including such millimeters and centimeters, or in customary units such as feet or inches.A bisector is a line that separates a straight line or perhaps an angle into two equal parts. A segment's bisector always contains the segment's midpoint.As per the given diagram in the question.
It is clear that the line segment XY is being divided by another line named n.
Thus,
The two segment of the line segment XY must be equal.
XM = MY
Substitute the values from the diagram;
5x + 8 = 9x + 12
Simplifying;
4x = -4
x = -1
Put the values in each segment;
XM = 5x + 8
XM = 5(-1) + 8
XM = 3 units.
Put the value in MY
MY = 9x + 12
MY = 9(-1) + 12
MY = 3 units.
As, it is clear from above values that the both segment are equal of 3 units each.
XY = XM + MY
XY = 3 + 3 = 6
Therefore, the value of XY is 6 units.
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