The equation of the line, in slope-intercept form, containing the point ( 5,2. 2) and (9,2. 6) is y=0.025x+2.375 where 0.025 is the value of slope and 2.375 is the y-intercept.
What is an example of a slope intercept form?Take into account the slope-intercept form of the equation y = 6 x + 9 y=6x+9. The x and y intercepts are known. When x = 0, the y-intercept also happens, and when y equals 0, the x-intercept also happens. By setting the value of y to 0, we may find the x-intercept.
What is the slope and y-intercept?The values of the slope and y-intercept reveal details of the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.
To calculate the equation of line containing points (5,2.5) and (9,2.6) we will use the formula y=mx+b
Here, m = (y2-y1)/(x2-x1)
So, m = (2.6-2.5)/(9-5)
m= 1/40
m=0.025
Now finding b by using formula y=mx+b using x= 5 and y= 2.5
2.5=(0.025)(5)+b
2.5=(0.125)+b
b=2.375
so equation of line is y=0.025x+2.375 in slope-intercept form.
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Please help me solve!
Answer:
so I think the anwerst it all jedi younglings
Please help me!At the beginning of spring, Jin planted a small sunflower in his backyard. The sunflower's height in inches, hh, after ww weeks, is given by the equation h=18+2.5wh=18+2.5w. What could the number 18 represent in the equation?
Answer:
The equation of the sunflower's height is h = 18+2.5w
Since the number 18 remains constant regardless of the change in number of weeks, we know that at the start h (w=0) = 18 + 2.5 x 0.
This means that, when Jin planted the sunflower, the sunflower's height was already 18 inches.
For such a reason, we can conclude that the number 18 could represent the sunflower's height at the start (original height).
--
Have a nice day!!
You have 40 minute to exercie at the gym, and you want to burn a total of 300 hundred calorie uing both machine. How much time would you pend on both machine
You should spend 30 minutes on machine 1 and 10 minutes on machine 2.
Given,
In the question:
You have 40 minute to exercise at the gym, and you want to burn a total of 300 hundred calorie using both machine.
Now, According to the question;
300 calories in 40 minutes can be set up as a ratio to find out how many calories per hour or calories per minute you are trying for:
300 calories /40 minutes = x calories/60 minutes for calories per hour (you are aiming for 450 calories burned per hour)
300 calories / 40 minutes = 7.5 calories per minute if you want to look at it that way instead.
One version of this problem that I found online completes the setup this way:
First machine is 8 calories per minuteSecond machine is 6 calories per minuteThis allows us to set up a system of equations. The first equation will be for calories burned:
8x + 6y = 300
x is minutes on the 8 calorie per minute machine; y is minutes on the 6 calories per minute machine.
A second equation simply shows that the total minutes add up to 40:
x + y = 40
Now you can use substitution, elimination, or linear combinations to solve the system. I'll use substitution to rewrite the second equation:
x = 40 - y....(1)
Now substituting into the first equation:
8(40 - y) + 6y = 300
320 - 8y + 6y = 300
2y = 20
y = 10
Put the value of y in eq.(1)
Then, x gives the 30
Hence, You should spend 30 minutes on machine 1 and 10 minutes on machine 2.
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Write an equation of the line that passes through $\left(-1,\ 3\right)$ and is parallel to the line $y=-3x+2$ .
The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is
y = 3x + 4How to find the line that passes through point point (-1, 3)As a parallel line part of the qualities include that the slopes of the lines are equal
The equation of line is y = 3x + 2
The slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
Line has slope, m = 3, a new parallel line of slope 3 passing through point (-1, 3)
(y - y₁) = m (x - x₁)
y - 3 = 3 (x - -1)
y = 3x + 1 + 3
y = 3x + 4
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This year consumers purchased 7,234,267,990 bottles of water. Last year consumers purchased 2,000,900,999 bottles of water. Which is the best estimate of the number of bottles sold this year and last year?
9,000,000,000 is the best estimate of the number of bottles sold this year and last year
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Current year consumers purchased 7,234,267,990 bottles of water
Last year consumers purchased 2,000,900,999 bottles of water.
We need to find the best estimate of the number of bottles sold current year and last year.
The best estimate means rounding up to the nearest whole number.
The estimate of the bottles sold this year and last year from the above value is:
= 7,000,000,000 + 2,000,000,000
= 9,000,000,000
Hence, 9,000,000,000 is the best estimate of the number of bottles sold this year and last year
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Kenji and his theater group are putting on a play. They need to make $373.50 to cover the
costs of the props and costumes. If they charge $4.50 for each ticket, how many tickets do
they need to sell to cover their costs?
Answer: 83 on the dot
Step-by-step explanation:83x4.50=373.50
Triangle ABC has the following measures: mA = 46°, m/B = 73°, and b = 32.3. What
is the length of side c?
The length of the side c is equal to 29.54 approximately to 2 decimal place, using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
For the triangle ABC, by sine rule;
a/sinA = b/sinB = c/sinC
We first derive the angle C as follows:
46° + 73° + C = 180° {sum of interior angles of a triangle}
C = 180° - 119
C = 61°
Thus by sine rule;
c/sin61° = 32.3/sin73°
c = (32.3 × sin61°)/sin73° {cross multiplication}
c = 29.5410
Therefore, by proper application of the sine rule we have the length of the side c to be equal 29.54 approximately to 2 decimal place.
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what is the period of the function h(x) = 5sin(4x-2) -3
Step-by-step explanation:
[tex]5 \sin(4(x - \frac{1}{2} ) ) - 3[/tex]
Period is b/2pi
Which is
[tex] \frac{4}{2\pi} [/tex]
[tex] \frac{2}{\pi} [/tex]
Omari buys a computer for $1,099. He
makes a down payment of 20%. His monthly
payments for the computer are $144. How
many months will it take Omari to finish
paying off the computer?
It will take 6 months for Omari to finish paying off the monthly payment for the computer.
What is the monthly payment?
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.
Given, the total price of the computer = $1,099
down payment = 20% of $1,099 = $219.8
The remaining amount = $1,099 - $219.8 = $879.2
monthly payments for the computer = $144
Then, the total months to pay = 879.2/144 = 6 months
Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.
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To convert the fraction 2 8/10 to a decimal, divide the numerator (8) by the denominator (10):
8/10 = 0.8Then, add the integer part (2) to the result:
2 + 0.8 = 2.8Therefore, the decimal representation of 2 8/10 is 2.8.
A turtle is 26.2 meters from a pond when it starts crawling toward the pond. The turtle crawls straight toward the pond at a
constant rate of 3.5 meters per minute.
Which equation models the distance of the turtle from the pond? (Let q represent the turtle's distance, in meters, from the
pond and p represent the number of minutes since it started crawling toward the pond.)
A. g=26.2-3.5
B.q=26.2p+3.3
C.q=26.2p-3.5
D.q=26.2+3.5p
The equation which models the distance of the turtle from the pond is q = 26.2 + 3.5p. Option D. is the answer
How to determine which equation models the distance of the turtle from the pond?
Given that:
A turtle is 26.2 meters from a pond when it starts crawling toward the pond
The turtle crawls straight toward the pond at a constant rate of 3.5 meters per minute
q represents the turtle's distance, in meters, from the pond and p represents the number of minutes since it started crawling toward the pond
The linear equation is of the form y = mx + c
where m is the rate of change and c is the starting point or y-intercept
m = 3.5 meters per minute, c = 26.2 meters
y = q ( turtle's distance) and x = p (number of minutes)
Thus, the equation models the distance will be:
q = 26.2 + 3.5p
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A Question 7 (2 points) Retake question
Let f(x)= x + 3
The graph of f(x) is transformed into the graph of g(x) by a translation of 4 units left.
What is the equation for g(x)?
g(x) = |x-1
g(x)= |x-41 +3
g(x) = |x| +7
g(x)= x + 4 + 3
Answer:
g(x) = |x-4| + 3
Which transformation results in the function, I would also like a explanation on how to do this.
The transformation that is results in the given function is a horizontal shrink of scale factor 1/4.
Which transformation results in function g(x)?Remember that for a function f(x), we define a horizontal shrink of scale factor k as:
g(x) = f(x*1/k)
Here we know that:
f(x) =x^2
g(x)= f(4x) = (4x)^2
Then this is equivalent to an horizontal shrink of scale factor of 1/4
Then the scale factor is k = 1/4, and the correct option is A.
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can you answer this fast please please
Answer:
top option: The function is nonlinear and does not have a constant rate of change
Step-by-step explanation:
This is a parabolic function, meaning that it increases exponentially. Therefore, it is nonlinear and does not have a constant slope (rate of change).
a card is drawn from a deck of 52 playing cards. what is the probability that it is a king and a black card?
The probability that the card is a king and a black card is 1/26.
What is the probability?There are 4 kings in a deck of 52 playing cards, and half of the cards are black, so there is a 1/13 probability that a randomly drawn card is a king, and a 1/2 probability that it is black.
To find the probability that a card is both a king and black, you can use the formula for the probability of the intersection of two events: P(A and B) = P(A) * P(B | A), where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.
Using this formula, the probability of drawing a king and a black card is:
P(King and Black) = P(King) * P(Black | King)
= (1/13) * (1/2)
= 1/26
So the probability of drawing a king and a black card is 1/26, or about 3.8%.
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5 times the sum of a number and -2 equals 30
Answer: 5(x+-2) = 30
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
5(x+(-2))=30
5x-10=30
+10 +10
5x=40
/5. /5
x=8
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PLEASE ANSWER NOWWW!!!!!!!!
Answer:
d
Step-by-step explanation:
its 3 to the right and top and its not a negative number so we don't go left
Answer:
Graph A
Step-by-step explanation:
The equation indicates the line has a positive slope and a y-intercept of 0. The only graph that corresponds to those conditions is Graph A.
can you please hellppp
The graph f(x) of y = 1/2 f(x).
How do you draw a f(x) graph?The graph demonstrates that regardless of its value, y is always positive. From the question figure, the following conclusions can be made.
Whenever x is 0, y also equals 0.
If x is 1, then y is 2.
when x is two, y is four.
Y is two when x is -1.
If x is -2, then y is 4.
It implies that the modulus function (|x|) is a function of f(x).
Here is a definition of the modulus function:
g(x)
g(x) = |x| = {x,i∫x≥0
{-x,i∫x<0
As we can see, it is twice as large as |x|, therefore the graph in the question figure
y = f(x) = 2|x |{ -2 ≤ x ≤2}
Therefore, we must create a graph y = 1/2 f(x)
y = |x | {-2 ≤ x ≤ 2}
Please see the graphic in the attachment for the graph of y = 1/2 f(x).
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The answers I really need the answers to this assignment
Answer:
Step-by-step explanation:
answer for 1 & 2 & 3
the area of an equilateral triangle ABC is 50 cm² find AB
Answer:
Step-by-step explanation:
Length of side AB=a=10.75cm
Which of the following is equal to O BIN 22 26 day √3√2?
Answer:
3√3?
Step-by-step explanation:
simplify
1. 2310/35805
2. 480/720
3. 120/600
4. 315/1680
5. 126/840
6. 1848/252
Answer:
Step-by-step explanation:
1. 2310/35805 -> 3/10
2. 480/720 -> 2/3
3. 120/600 -> 1/5
4. 315/1680 -> 3/16
5. 126/840 -> 3/20
6. 1848/252 -> 22/3
PLEEEEEEEEEEEEEEEEEEEEEEASEEEEEEEEEEEEEEEEE HELP
Answer:
Step-by-step explanation: with what????????????????????
Answer:
theres no image?
Step-by-step explanation:
Write an algebraic expreion that marhall can ue to determine the total cot of buying a watermelon that weigh w pound and ome tomatoe that weigh t pound. How much will it cot to buy a watermelon that weigh 18 1/2 and 5 pound of tomatoe
The required algebraic expression when the that total cost is $142.05.
That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
=>Total cost = 3.25t +.68w
Given: Tomatoes cost $3.25 per lb while watermelons cost $.68 per lb.
Let w = weights of the tomatoes and watermelons.
The algebraic expression would be:
3.25t +.68w = Total cost
For 5 pounds of tomatoes and 185 lb of watermelon:
68(185) + 3.25(5)
=$125.80 + $16.25
= $142.05
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
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120 thousand cars were manufactured in a country in the year 2004-OS. The production of cas
increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.
Answer:
25% increase
Step-by-step explanation:
120 thousand cars were manufactured in a country in the year 2004-O5. The production of cars increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.
(150 - 120) / 120 = 0.25
0.25 = 25% increase
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
Please answer quick and add an explanation 0.0
Thank you!
Answer: 9/4
Step-by-step explanation:
The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4
Simple 2 1/4 to fraction = 9/4
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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.
Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups
Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.
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what is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares? (round your answer to the nearest integer.)
$592 is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares. Using the concept of probability -
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Mean – 385 per ticket
Standard Deviation - 110
Now,
P (Z > x ) = 0.03
Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88
P(x - u / (standard deviation) > x - 385/110) = 0.03
That is, (x - 385/110) = 1.88
Therefore, x = 1.88 ×( 110+385)
= 591.91 or $592
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-2x+4y=17 + 3x-10y=-3
The values of x and y are -49/4 and -15/8 respectively for the given set of equations -2x + 4y = 17 and 3x - 10y = -3.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given pair of equations,
-2x + 4y = 17 (1)
3x - 10y = -3 (2)
Multiply equation (1) with 3 and equation (2) with 2
-6x + 12y = 51 (3)
6x - 20y = -6 (4)
Add equation (3) and (4),
- 8y = 15
y = -15/8
Substitute the value of y in equation (1)
-2x + 4 (-15/8) = 17
-2x - 15/2 = 17
-2x = 49/2
x = - 49/4
The values of x and y for the given equations are -49/4 and -15/8 respectively.
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For the given equation the value of x and y will be 15/4 and 17/8 respectively
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equations are,
-2x+4y=17 -------(1)
3x-10y= -3
The value of x from equation 1 is,
-2x+4y=17
x=(17-4y)/2 -------(2)
Substitute the value of x in equation 2,
3x-10y=-3
3(17-4y)/2-10y= -3
y=17/8
The value of x is obtained as,
x=15/4
Thus, for the given equation the value of x and y will be 15/4 and 17/8 respectively
The question is incomplete the complete question is"solve the linear equation -2x+4y=17, 3x-10y=-3
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Correct representations of the inequality -3(2x - 5) 5 are - 6x + 15 10 - 5x (2 – x)
What is Inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1]
The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a b indicates that an is smaller than b.
When a > b is used, it indicates that an is bigger than b.
A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities[1]. Equivalence is not considered.
There are two form of inequality relations that are not strict, in contrast to strict inequalities:
The indication of an or b denotes that.
According to our question-
The fourth response is shown by an open circle at 5, and a bold line that begins at 5 and points to the right (attached figure)
Detailed explanation
The difference is 5 (-3(2x - 5)). (2 - x)
First, make each side simpler.
∵ -3(2x - 5) = -3(2x) + -3(-5) (-5)
Recall that (+)=(-)
∴ -3(2x - 5) = - 6x + 15
∵ 5(2 - x) = 5(2) + 5(-x) (-x)
Recall that (+)(-) = (-)
∴ 5(2 - x) = 10 - 5x
∴ - 6x + 15 < 10 - 5x
Take 15 away from both sides.
∴ - 6x < -5 - 5x
5 times on both sides
∴ - x < - 5
Because the coefficient of x is negate, you must change the inequality's sign when you divide both sides by it.
The x coefficient is -1.
∴ Add -1 to both sides.
∴ x > 5
The appropriate answers are:
- 6x + 15 < 10 - 5x
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1. The quotient of and three increased by 10 is 16) What is.x?
The equivalent value of the [x] that satisfy the given statement is 18.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is the statement -
the quotient of a number and three increased by 10 is 16
The given mathematical statement is -
the quotient of a number and three increased by 10 is 16
Assume the number to be [x]. Then, we can write -
(x/3) + 10 = 16
x/3 = 16 - 10
x/3 = 6
x = 6 x 3
x = 18
Therefore, the quotient of 18 and three increased by 10 is 16.
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