The linear function for the given graph is y = x + 0.1
What is a linear function?
The graph of a linear function is a straight line. The following is the form of a linear function. y = mx + b. One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
The coordinates of the given graph are (0,1) and (10,2)
Then, slope (m) = (2-1)/(10-0) = 1/10 = 0.1
y-intercept (b) = 1
Then, y = 1x + 0.1
Hence, the linear function for the given graph is y = x + 0.1
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In 2006 the median yearly family income was about 48,200 per year suppose the average annual rate of change since then is $1240 per year. Write and graph the equality for the annual family incomes y that are less than the median x years after 2006
The inequality for the annual family income is:
y < 1240x + 48,200
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Let x=0 be the year 2006
The inequality is:
y < 1240x + 48,200
Graphing:
Consider equal sign in place of < symbol
Take random values for x, find corresponding y values and plot them
Mark it as dashed line as shown in the graph because of the inequality symbol "< "
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If the change in velocity of a car is 30 m/s and the time interval is 5 seconds, the acceleration of the car is ________ m/s2
Answer:
-4 acceleration
Step-by-step explanation:
: )
A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.
How many cars were sold that were not white?
A 100
B190
C 19
D 25
The number of cars sold that were not white based on the dot plot is 19
How to determine the number of cars sold that were not whiteFrom the question, we have the following parameters that can be used in our computation:
The dot plot represents the given parameter
From the dot plot, we have the following values represented as follows:
The above parameters means that the following cars are not white cars
So, we have the following representation
Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1When these frequencies are added, we have
Total = 5 + 8 + 1 + 4 + 1
Evaluate the sum
Total = 19
Hence, the number of cars is 19
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25 to 45 in to a fraction
70% of $10 =_____________________
Answer: 7
Step-by-step explanation:
Assemble the proof by dragging tiles to the statements and reasons columns.
Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
What are congruent triangles?
When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.
Given is figure of triangles,
In Δ ADC and Δ BCD,
AD ≅ BC (given)
∠ BCD ≅ ∠ ADC (given)
DC is common segment in both,
Therefore, Δ ADC ≅ Δ BCD by SAS rule
∠ DAE ≅ ∠ CBE by CPCTC
∠ AED ≅ ∠ BEC by vertically opposite angles postulate.
Δ AED ≅ Δ BEC by AAS rule
DE ≅ CE by CPCTC
Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
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HELP ME OUT OMG THANKS
Answer: 3 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
7 1/5
Step-by-step explanation:
2/3 = 4x
X = ?
i dont know what this is
A questionnaire was given to students in an introductory statistics class during the first week of the course. One question
asked, "How stressed have you been in the last 2 weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being
as stressed as possible?" The students' responses are shown in the frequency distribution. How many students were involved
in the study?
students
Answer:
Step-by-step explanation:
2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer
quick! please help! write the equation of line that has a slope of 7 and passes through the point (1,8)
Answer: y=7x+1
Step-by-step explanation:
y=mx+b
Given:
slope= 7
point is (1,8)
Replace x and y for those numbers:
8=7(1)+b
Solve for b:
8=7+b
b=1
Final equation:
y=7x+1
show all work pls help
1. There were 6 boys and 9 girls on the camping trip.
What was the ratio of boys to girls?
What was the ratio of girls to boys?
2. There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
What is the ratio of tomato plants to lettuce plants?
What is the ratio of lettuce plants to cucumber plants?
3. If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?
The ratios are as follows
Ratio of boys to girls = 2:3
Ratio of girls to boys = 3:2
Ratio of tomato plants to lettuce plants = 1:2
Ratio of lettuce plants to cucumber plants = 4:1
Unit rate = $4
Cost of buying 20 copies = $80
What are ratios?
Ratios compare two numbers, usually by dividing them.
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
For example, if A is five and B is 10, your ratio will be 5/10.
According to the given question:
1) There were 6 boys and 9 girls on the camping trip.
Ratio of boys to girls = 6:9 = 2:3
Ratio of girls to boys = 9:6 = 3:2
2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
Ratio of tomato plants to lettuce plants = 4:8 = 1:2
Ratio of lettuce plants to cucumber plants = 8:2 = 4:1
3) If Jan can buy 10 copies of a certain book for $40
Unit rate = 40/10 = $4
Cost of buying 20 copies = 20 x 4 = $80
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Perform The operations!
Step-by-step explanation:
Step 1: 2x²--7x²=9x²
Step 2: 2x--7x=9x
Step 3: -7-+2=-9
Overall answer: 9x²+9x-9
please mark brainliest
Examine the rhombus below slove for x 5x-3
Please help it for a test worth 95 points
Answer: I'm pretty sure the answer is either 18.6, or 90
Tell me in the comments if I'm wrong
Analyze and Persevere Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how many miles he drove and trips he made to San Diego.
The expression that shows the number of miles he drove and trips he made to San Diego is; 3850 + yb
How to solve Algebra word problems?Let a round trip to Los Angeles be denoted by the variable; x
Let the number of miles in a round trip to Los Angeles be denoted by the variable a
Let a round trip to San Diego be denoted by the variable: y
Let the number of miles in a round trip to San Diego be denoted with the variable: b
This means that our algebraic equation representing the number of miles driven in all to be: xa + yb
Since the truck driver made 5 round-trips to Los Angeles, then it means that, we have the equation;
5a + yb as the total miles driven in all.
However, from the table attached, a round trip to Los Angeles is 770 miles. Thus;
Total miles driven = 5(770) + yb = 3850 + yb
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What is the difference between the place value of a whole number and a place value of a decimal?
The main differences between the place value of the whole number and the decimal is given below
What is decimal ?
Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the term used to describe how numbers are represented using the decimal system.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.
Decimals can be classified as non-recurring (as in not repeating or ending), recurring (as in repeating or not terminating), and decimal fractions (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).
The whole number part of the decimal number is the part that lies strictly to the left of the decimal point, and the place value of each digit in the whole number part is given .
The fractional part of the decimal number is the part that lies strictly to the right of the decimal point.
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Your fixed expenses are $1,235.78/month. You want to save 6 months' worth for an emergency fund over a year’s time. How much must you save each month?
Answer:
The correct answer is 514.90
Step-by-step
Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
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A bakery offers a sale price of $3.40 for 6 muffins. What is the price per dozen?
Answer: The sale price per dozen would we around $6.80 with no tax included.
Step-by-step explanation:
What is the slope of a linear function that passes
between (2, 7) and (5, 12)?
Answer:
5/3 is the slope
Step-by-step explanation:
Use the slope formula
m = y2 - y1/ x2 -x1
Answer:
Slope = 5/3
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Now the required slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 7)/(5 - 2)
→ [ m = 5/3 ]
Hence, required slope is 5/3.
Please help need to turn in asap
Answer:
4.5 or equivalently 4 1/2 or 9/2
All are equivalent
Units are miles/hour
Step-by-step explanation:
Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate
Chosen points: (0, 0) and (2, 9)
Rate of change = (9-0)/(2-0) = 9/2 = 4.5
Help please!!!!!!!!!!!!
Answer:
4.) m > 7
5.) k + (-5) > 30 (The ">" has a line under It)
6.) 0.875
I don't know what it means when it says "graph the solution set" but I simplified it for you!
What is the value of the expression below when x=7x=7? x^2+9x-10
Answer:
Step-by-step explanation:
Examine the following triangle.
Based on the given information, what is the measure of the missing length, w?
Enter your answer as a number.
Answer:
16
Step-by-step explanation:
You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.
need help on This question I’ll give you brainliest
Answer: it is A.
Step-by-step explanation: I did the quiz
Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
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What is 30x2? Id love to know
15) A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the
rope is taut while the balloon is directly above a flag pole that is 40 feet from where the rope is
staked down. Find the altitude of the balloon if the rope is 80 feet long. HINT: Use the
Pythagorean Theorem., label the drawing.
A) 2√10 ft
B) 40-√√5 ft
C) 40-√√3 ft
D) 4√ √/30 ft
The altitude of the balloon found using Pythagorean Theorem is 40·√3 feet, the best correct option is option C)
C) 40·√3 ft
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is the same as the sum of the square of each of the two legs of the right triangle.
15) The parameters in the question includes;
Horizontal distance of the flag pole from the point the rope is staked down = 40 feet
Length of the rope to which the balloon is secured = 80 feet
Location of the balloon = directly above the flag pole
Therefore, the altitude of the balloon, the length of the rope, and the horizontal distance from the flag pole from the point the rope is staked form a right triangle, with the length of the rope representing the hypotenuse side.
Let h represent the altitude of the flag pole, using Pythagorean Theorem, we get;
80² = 40² + h²
Therefore; h² = 80² - 40² = 4800
The altitude of the balloon, h = √(4800) = 40·√3
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8.5 by 11 rectangle folded in half. What is the length of the long side
I guess it sort of depends on whether you are folding the rectangle in half "long-ways" or "short-ways", however, if the rectangle is folded "long-ways", then the length of the new long side would be 5.5, with the shorter end being 4.25, or just 4.2.
Hope this helps!
6-4x=6x-8=2
PLEASE HELP
The value of x is 1.2
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
6-4x = 6x-8+2
group the variable and constant terms
6 +8 -2 = 6x +4x = 10x
12= 10x
=> x= 12/10 = 1.2
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Pham has 390 National League baseball cards. If this accounts for 75% of his card collection, how many baseball cards does he have in his collection? Use any strategy to solve.
Answer:
520
Step-by-step explanation:
390/3=130, 130x4=520