changing tne value of m in f(x)=mx+b resulst in a (translation or rotation) of the graph
?????
Answers
Answer:
Rotation
Step-by-step explanation:
The function \(f(x)=mx+b\) , is the equation of a line given in slope-intercept form. Where m is the slope of the line and b is the y-intercept of the line. If you were to change the value of m, while keeping the value of b the same, that would result in a rotation. If you were to change the value of b, while keeping the value of m the same, that would result in a translation (specifically a vertical translation).
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Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams. Which equation could she use to determine how many marbles are in the bag? Select all that apply. (1.5)x + 1.5 = 30 30 – x = 2(1.5) (1.5)(30) = 1.5x 1.5 + x = 30 1.5x = 30 – 1.5
Answers
Answer:
1.5x = 30 - 1.5
Step-by-step explanation:
30 grams minus the weight of the bag 1.5
1.5x x is the number of marbles and the bag so take 1 out and you have an answer which is 28.5 19 marbles
A survey of a group of 117 tourists was taken in St. Louis. The survey showed the following:
65 of the tourists plan to visit Gateway Arch;
47 plan to visit the zoo;
10 plan to visit the Art Museum and the zoo, but not the gateway Arch;
14 plan to visit the Art Museum and the Gateway Arch, but not the zoo;
17 plan to visit the Gateway Arch and the zoo, but not the Art Museum;
8 plan to visit the Art Museum, the zoo, and the Gateway Arch;
16 plan to visit none of the three places.
How many plan to visit the Art Museum only?
Answers
Therefore, 6 tourists plan to visit the Art Museum only.
What is graph?In computer science and mathematics, a graph is a collection of nodes (also called vertices) and edges that connect these nodes. The nodes are typically represented by circles or dots, while the edges are represented by lines or arrows that connect the nodes. Graphs can be used to model relationships between objects, such as people, websites, or molecules, and are widely used in computer science, operations research, and other fields.
by the question.
Let's label the three sets as follows:
A = tourists who plan to visit the Art Museum
G = tourists who plan to visit the Gateway Arch
Z = tourists who plan to visit the zoo
We know that:
The total number of tourists surveyed is 117.
16 plan to visit none of the three places. This means that there are 117 - 16 = 101 tourists who plan to visit at least one of the three places.
We can now fill in some of the numbers in the Venn diagram based on the information given:
The number of tourists who plan to visit all three places is 8.
The number of tourists who plan to visit both the Art Museum and the zoo (but not the Gateway Arch) is 10.
The number of tourists who plan to visit both the Art Museum and the Gateway Arch (but not the zoo) is 14.
The number of tourists who plan to visit both the Gateway Arch and the zoo (but not the Art Museum) is 17.
To find the number of tourists who plan to visit the Art Museum only, we need to subtract all the other possibilities from the total number of tourists who plan to visit the Art Museum:
Number of tourists who plan to visit the Art Museum only = A - (A ∩ G) - (A ∩ Z) + (A ∩ G ∩ Z)
Substituting the numbers, we have:
Number of tourists who plan to visit the Art Museum only = A - 14 - 10 + 8
We don't know A yet, but we can find it by using the total number of tourists who plan to visit at least one of the three places:
A ∪ G ∪ Z = A + G + Z - (A ∩ G) - (A ∩ Z) - (G ∩ Z) + (A ∩ G ∩ Z)
101 = A + 65 + 47 - 14 - 10 - 17 + 8
A = 22
Substituting A back into our formula, we get:
Number of tourists who plan to visit the Art Museum only = 22 - 14 - 10 + 8
Number of tourists who plan to visit the Art Museum only = 6
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Find 96.1% of 146. Round to the nearest tenth.
Answers
The value of 96.1% of 146 is 140.31
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the value of 96.1% of 146.
Convert 96.1% to the decimal value by dividing with 100
96.1/100=0.961
Now multiply 0.961 with the 146 to find the value.
0.961×146
140.306
Hence, the value of 96.1% of 146 is 140.31
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Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue, how much shaving cream does she need?
Answers
The ounces of shaving cream will be 230 ounces.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:
= 56 ÷ 7/15
= 56 × 15/7
= 120
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What percent of 40 is22 ?
Answers
Answer: 181.82
Explanation:
Step 1: We make the assumption that 22 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=22.
Step 4: In the same vein, x%=40.
Step 5: This gives us a pair of simple equations:
100%=22(1).
x%=40(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit (%); we have
100 percent/X percent = 22/40
Step 7: Taking the inverse (or reciprocal) of both sides yields
100 percent/X percent = 40/22
X = 181.82%
Therefore, 40 is 181.82% of 22.
Hope this helps^-^.
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Do TWO things for each of the questions below: Determine if it is an arithmetic sequence AND write the common difference. If there is not a pattern, indicate this in your answer.
1. -9, -7, -5, -3, -1,...
2. 5.05, 5.1, 5.15, 5.2, 5.25, ...
3. 3, 6, 10, 15, 21, 28,...
4. 17, 14, 11, 8, 5, 2,...
5. 10, 9, 8, 7, 6,...
6. 3, 5, 7, 9, 11,...
7. 35, 37.5, 40, 42.5,...
8. 45, 32, 19, 6,...
9. 2, 3, 5, 9,...
10. 5, 11, 23, 47,...
11. 8, -3, -14, -25,...
12. 5, 10, 15, 20,...
13. 3, 6, 9, 12,...
Solve this problem by using what you know about arithmetic sequences.
An ant colony invades the caramels in a candy store. The first day they eat a 1/4 of a caramel, the second day 1/2 of a caramel, the third day 3/4.
14. What is the difference between each day?
15. How many do you think they’ll eat on the fourth, fifth, and sixth days?
Answers
Answer:
They have equal numbers?
Step-by-step explanation:
Answer:
Do They Have Equal Numbers
Jared wants to purchase his favorite barbeque sauce. The barbeque sauce comes in two different size bottles. The 32 ounce bottle is on sale for $4.59. The 18 ounce bottle is priced at $3.06. Jared has a coupon for 60 cents off if you buy two 18 ounce bottles. Determine if Jared gets the better buy when he buys one 32 ounce bottle or when he buys two 18 ounce bottles. a. Jared will get the same deal on either purchase. b. Jared will get the better deal buying one 32 ounce bottle. c. Jared will get the better deal buying two 18 ounce bottles. d. Jared doesn’t need the coupon, he will get the best deal on one 18 ounce bottle.
Answers
Answer:
b
Step-by-step explanation:
Which statement justifies why ∠ABF measures 130°?Given: angles ABD and DBC are complementary
Answers
SOLUTION:
We are to find the statement that justifies why
Given that
50 degrees +
In conclusion, the justified statement is "a linear pair is two adjacent, supplementary angles.
Answer:
B
Step-by-step explanation:
another person person said it was n had 5stars
What does the net decimal equivalent (NDE) represent?
Answers
Answer:
the product of the decimal equivalents of all discount in the series
which are equivalent equations select two correct answers d1 2ad2 d1 d2 d2 d2 2ad1
Answers
the d1 = 2A/d2 and d2 = 2A/d1 are correct options.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
The given A=a equals Start Fraction one-half End d1, d2, 2d1d2 where d1 and d2 are the lengths of the diagonals.
So the correct options are
d1 = 2A/d2
d2 = 2A/d1
Hence the d1 = 2A/d2 and d2 = 2A/d1 are correct options.
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What is 27 to the fourth power?
Answers
Answer:
531,441
Step-by-step explanation:
27x27x27x27
Answer:
531,441
Step-by-step explanation:
27 to the 4th power can also be:
27 x 27 x 27 x 27
729 x 27 x 27
19,683 x 27
531,441
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
Answers
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
Florida has a population of 2 x 10⁷the Earth has a population of 8 x 10⁹ ,how many times more populated than Florida express your answer as a whole number
Answers
Answer:
400
Step-by-step explanation:
\(\frac{8 x 10^{9} }{2 x 10^{7} }\) Divide 8 by 2 and subtract the exponents 9 -7
4 x \(10^{2}\)
4 x 100
400
The Earth is 400 times more populated than Florida.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find how many times more populated than Florida the Earth is, we need to divide the Earth's population by Florida's population:
Earth's population / Florida's population
= (8 x 10⁹) / (2 x 10⁷)
To divide these numbers, we can simplify both the numerator and denominator by dividing them both by 10⁷:
(8 x 10⁹) / (2 x 10⁷)
= (8/2) x (10⁹/10⁷)
= 4 x 10²
= 400
Therefore,
The Earth is 400 times more populated than Florida.
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Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer. Responses The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the vertical line test. The graph of the sequence would pass the vertical line test. Each amount of cans corresponds to a unique day in this sequence. Each amount of cans corresponds to a unique day in this sequence. Each day corresponds to a unique amount of cans in this sequence.
Answers
Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.
What is function?A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output.
Here,
We presume Thomas only invited one buddy to participate.
The pattern for days and cans can be seen as follows:
Thomas has two cans on the first day, i.e. cans.
Thomas has four cans on the second day, i.e. cans.
Thomas has 8 cans on the third day, i.e. cans.
Thomas has 16 cans on the fourth day, i.e. cans.
This trend continues until day ten.
So, on x day, Thomas has cans, and x varies from 1 to 10.
As a result, the relevant function is.
This means that for each day (x), there is a distinct value for the number of cans:
The 'Vertical Line Test,' on the other hand, is a test in which we draw a vertical line through the graph and if it cuts the graph at exactly one place, then the graphed curve is a function.
As shown in the graph below, the vertical line intersects f(x) at precisely one location. As a result, f(x) is a function.
As a result, the sequence graph passes the vertical line test.
Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.
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A college currently has 600 students enrolled
full time. Of these students, 400 are science
majors while 200 are liberal arts majors. If
350 of the students are male, and 250 of the
males are science majors, how many female
students are liberal arts majors?
(A) 200
(B) 150
(C) 100
(D) 50
Answers
Answer:
C) 100
Step-by-step explanation:
250+600-350-400
850-350-400
500-400=100
Find the distance between (-5.9), (7,9)
Find the distance between (-3,6), (-3,-2)
Answers
b)is 10 Multiply -1 by -3 √(3+3)2+(2-(-6))2 then add √6^2+(2-(-6))2 then Raise 6
to the power of 2 √36+(2-(-6))2 then Multiply -1 by -6 √36+(2+6)2 then Add 2 and 6 √36+8^2 then raise 8 to the power of 2 √36+64 then add 36+64 √100 then rewrite 100 as 10^2 √10^2 then pull terms out from under the radical, assuming positive real numbers.And the answer is 10 :)
hope this helped
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answers
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Goes through points (-2,-1) and (-3,5)
Help me pleaseeeeeeeeeee
Answers
Answer:
Distance between two points = √37
Step-by-step explanation:
Given:
(-2,-1)
(-3,5)
Find:
Distance between two points
Computation:
Distance = √(x1 -x2)² + (y1 - y2)²
Distance between two points = √(-2+3)² + (-1 - 5)²
Distance between two points = √ 1 + 36
Distance between two points = √37
How many different passwords consisting of 3 different letters can be created using the letters A B C D E?
PLEASE HELP PLEASE ASAP
Answers
Answer:
10 without repetitions, or 35 with repetitions
Step-by-step explanation:
Okay so basically if you allow repetitions, which would be repeating the same letter more than once, such as AAB, or BBD, or DDD, then there would be 35 total combinations. IF you do not allot repetitions and it has to be answers such as ABC, DEA, CAE, DCB, there would be only 10 possible passwords. Hope this helps. Brainiest is much appreciated
Help me on this please.
Answers
it’s system of substitutions ?
so try
a = 2
b = 5
PLEASE HELP URGENTTTTT
Answers
Answer:
8
Step-by-step explanation:
Because its a 2,2
The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
Answers
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
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Five ninths of what is equal to 30? 54 15 35 45
Answers
(5/9)*54 is 30! (5/9)*15 is only 8.3. (5/9)*35 is only 19.4, and (5/9)*45 is only 25.
5/9 of 54 is equal to 30!
If f(x)=|x|+9and g(x)=-6, which describes the value of (f+g)(x)?
Answers
Answer:
yes
Step-by-step explanation:
I'm Semi I stay automatic
Money add then multiply
I call that mathe-mat-a-matics
What is the approximate value of θ if tan θ = 7/9
Answers
Answer:
37.9°-----------------------
Taking the inverse tangent (arctan) of the given ratio 7/9.
Use a calculator or trigonometric table to find:
θ ≈ arctan(7/9)The approximate value of θ is 37.9°.
of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?
Answers
Answer: 4
Step-by-step explanation:
1 third of 30 is 10 and 2/5s of 10 is 4
Can someone help me translate this into a mathematical notation
One fourth of three times a number is five
Answers
Answer:
3x/4 = 5
Step-by-step explanation:
porque es matematicas nos piden buscar la x?
Answers
Answer:
Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e i hope that helps :)
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answers
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.