Answers
to find b in y=mx+b you simply look for a point where x=0 which was (0,1) making the y-intercept or "b" equal to 1. to find the "m" or slope plug in any point for x and y. (9)=m(4)+1 is 2=m. so y=2x+1 is your answer.
Related Questions
Which doubles fact helps you solve 8+7=15? Write the number sentence.
Answers
16 - 1 = 15
or
7 + 7 = 14
14+1 = 15
Answer with explanation:
There are following double facts
When a Number is added to itself the result is twice of that number.
1+1=2 ×1=2
2+2=2×2=4
3 +3=2×3=6
4+4=2×4=8
...................
............................
Number 15 can be written in two ways
15=14+1-----(1)
=16-1------(2)
So, the double fact that we can use to solve , 8+7=15 are
1.→ 8+7
=14+1
=7+7+1
=(7+7)+1
2. →8+7
=15-1
=(8+8)-1
ann picks a 4 digit number . The first digit is not a zero .The 4 digit number is a multiple of 5. how many different 4 digit numbers could she Pick?
Answers
_ _ _ _
since it has to be a four digit number and the restrictions are only two substitue the first digit with 1
1 _ _ _
then substitue the last one with 1 because there is only one multiple of 5 that is a single digit
1 _ _ 1
then substitue the second gap with 8 because 0-9 are ten numbers and since you already used 2 numbers 10-2 is 8
1 8 _ 1
then substitue the last gap with 7 because you already used three numbers
1 8 7 1
then multiply all of them and you get 56
With the wind, a jet can fly 2500 km in 2 hours 30 minutes. Against the wind, it can fly only 2000 km in the same amount of time. Find the rate of the jet in still air and the rate of the wind.
Answers
With wind DATA:
distance = 2500 km ; time = 2.5 hrs ; rate = 2500/2.5 = 100 km/h
Against the wind, it can fly only 2000km in the same time.
Against wind DATA:
distance = 2000 km ; time = 2.5 hrs ; rate = 2000/2.5 = 800 kmh
Find the rate of the jet in still air and the rate of the wind.
p + w = 100
p - w = 80
2p = 180
p = 90 kmh (plane speed in still air)
Since p+w = 100, w = 10 kmh (wind speed)
the average monthly snowfalls in Vail, Colorado, varies between 40 inches and 64 inches from November through April. let S represent the average monthly snowfall during this period.
Answers
Midvalue between 40 and 64 is 52 and the distance from 40 and 64 to the midvalue is 12.
let S represent the average monthly snowfall during this period. The absolute value inequality that represents this situation is given by
[tex]|S-52|\leq12[/tex]
How is the underlined pronoun used in the sentence?
This gift with the big red bow is from me.
A.
subject
B.
subject complement
C.
direct object
D.
object of a preposition
Answers
Choose among these options the one that results in a graph that shows exponential decay. A. f(x) = 0.6(2)x B. f(x) = 3(0.7)x C. f(x) = 0.4(1.6)x D. f(x) = 20(3)x
Answers
Decay means an overall decrease in the original value. Exponential equations are written in the form:
amount after time n = original amount x (decay OR increase factor)ⁿ
The value of the factor is less than one in the case of a decay.
________________________________________________________
x | y
0 | 3
1 | 2.1
2 | 1.48
_________________________________________________________
When, "x" [which is the exponent] increases" ; the resulting value; "y" on a graph, DECREASES; hence; "exponential decay".
_____________________________________________
Consider Choice [A]: " f(x) = 0.6(2)ˣ " .
_________________________________________________________
x | y
0 | 0.6
1 | 1.2
2 | 2.4 ;
When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay' .
______________________________________________________
Consider Choice [C]: "f(x) = 0.4(1.6)ˣ " .
_________________________________________________________
x | y
0 | 0.4
1 | 0.64
2 | 1.024
When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay' .
→ As such, Choice: [C]: is incorrect.
______________________________________________________
Consider Choice [D]: " f(x) = 20 * (3)ˣ " ;
_________________________________________________
x | y
0 | 20
1 | 60
2 | 180 ;
_________________________________________________
When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay;.
→ As such, "Choice [D]" is incorrect.
______________________________________________________
13/20 - 2/7 + 11/35 = ?
Please include steps on how to solve!!!!
Answers
find the least common denominator which is 140.
(13 × 7/20 × 7) - (2 × 20/7 × 20) + (11 × 4/35 × 4)
91/140 - 40/140 + 44/140
91 - 40 + 44/140
95/140
19/28 <<< answer
hope this helped, God bless!
Jenny needs of a stick of butter for a recipe. She cuts the half-stick of butter into four equal pieces. What portion of the whole stick of butter is each of the pieces?
Answers
Each piece represents 1/8 of the whole stick of butter.
Explanation:Jenny needs of a stick of butter. She cuts the half-stick of butter intoTo find the portion of the whole stick of butter that each piece represents, we need to divide the numerator (1) by the denominator (2 x 4 = 8). So each piece represents of the whole stick of butter.
explain how the diagram and distributive property show a way to find the product 32 × 24.
Answers
You basically break down the number depending on how many numbers are in a whole and make a box for that number example 21* 53
20 + 1
50 1000 | 50
+ -----------------
3 60 | 3
After you get all your products you add them all up to get your answer
1000
50
60
+ 3
---------
1113 < your final answer
HELP! ANSWER THE QUESTION IN THE PICTURE BELOW. THANK YOU!!!!!!!!
Answers
Positive times positive = positive
Positive times negative = negative
Negative times negative = positive
So basically, if there is an odd number of negatives, then it'll end up negative, with some exceptions.
So now we know it has to either be the first one or the last one.
The first one is multiplied by 0, so it can't be that one.
So it has to be the last one.
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
Answers
It will take [tex]\( 5.299643 \times 10^4 \)[/tex] hours for the space shuttle to reach Saturn from Earth.
To calculate the time it takes for the space shuttle to reach Saturn from Earth, we need to use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given:
Distance from Earth to Saturn = 1,483,900,000 km
Speed of the space shuttle = 28,000 km/h
Convert distance to kilometers in scientific notation:
[tex]\[ 1,483,900,000 = 1.4839 \times 10^9 \][/tex]
Plug values into the formula:
[tex]\[ \text{Time} = \frac{1.4839 \times 10^9 \, \text{km}}{28,000 \, \text{km/h}} \][/tex]
Calculate:
[tex]\[ \text{Time} = \frac{1.4839 \times 10^9}{28,000} \][/tex]
[tex]\[ \text{Time} = 52,996.43 \, \text{hours} \][/tex]
Convert to scientific notation:
[tex]\[ 52,996.43 = 5.299643 \times 10^4 \, \text{hours} \][/tex]
So, it will take [tex]\( 5.299643 \times 10^4 \)[/tex] hours for the space shuttle to reach Saturn from Earth.
Complete Question:
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach from Earth. Show your work. Convert your answer into scientific notation if necessary. Earth =15000000 Saturn =1483900000
Find the product 54×653
Answers
a movie theater has 250 seats. 3,250 tickets were sold at the theater last week. How many movies were shown at the theater last week if every person who bought a ticket saw a movie and every seat was filled for each feature?
Answers
Nina and her friends are going to the downtown rib festival. The festival organizers expect 10,000 people to attend the four-day festival. At the end of the festival the organizers say that they have exceed their expected attendance by 2000 people. What was the average number of people to attend the festival per day?
Answers
12000 / 4 = 3000
The average number of people attending the festival per day will be 3,000 per day.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Nina and her friends are going to the downtown rib festival. The festival organizers expect 10,000 people to attend the four-day festival. At the end of the festival, the organizers say that they have exceeded their expected attendance by 2000 people.
The total number of people on four days will be given as,
⇒ 10,000 + 2,000
⇒ 12,000
The average will be given as,
⇒ 12,000 / 4
⇒ 3,000
The average number of people attending the festival per day will be 3,000 per day.
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In the eighth grade 322 students voted for the new mascot to be a tiger this was 7/10 of the total number of students in the eighth grade how many students are in the eighth grade
Answers
Your welcome
1,322 divided by 18 compatiable numbers
Answers
2.654 2.564 2.065 2.465
greatest to least
Answers
So the answer is 2.654, 2.564, 2.065, 2.465
Bella pays 7 payments of $5 each to a game store.she returns one game receives $20 back.what is the change of the about of money she has?
Answers
Answer:
$15 in total
Step-by-step explanation:
Calculate 1/3+-5/6+-3/4
Answers
Use multiplication and the distributive property to find the quotient
Answers
42 - ( 9 + 6)
42 - 9 - 6
27
andy is 5 kilogram less than twice his brother's. together they weigh 100 kilograms what are they weights
Answers
Then 2x-5 is Andy's weight.
x+(2x-5)=100
3x-5=100
3x=105
This one's a doozy and I really need some help!
At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money.
What was the individual cost of each person's items?
(a) Write an expression that shows Tanya's purchased items.
(b) Write an expression that shows Tony's purchased items.
(c) Write an equation. Let x represent the cost of one of Tanya's items.
(d) Solve the equation. Show your work.
I need help ASAP! Pleaseee :D
Answers
b) 4(x-2.25)= 4x-9 as each item cost $2.25 less than tanya's items and there were four of them
c) 3x=4x-9 as all the items bought by tony and tanya cost the same amount
d) 3x=4x-9
-4x on both sides
-x=-9 so x=9
The individual costs of each person's item was $9
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ? Enter your answer in the box. Do not round any side lengths.
Answers
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Using the formula above, we get
Width = distance between (-3,-1) and (1,3) = [tex] \sqrt{(1-(-3))^2 + (3-(-1))^2} = \sqrt{32} = 4 \sqrt{2} [/tex]
Length = distance between (1,3) and (-1,-3) =
Jack has 12 pencils and 7 pens.how many more pencils than pens does he have
Answers
On December 15, Jim Wright purchased a new automobile. The price was $22,800 cash, or $2,000 down plus 60 monthly payments of $388 each. Jim decided to finance the automobile for 60 months.
Based on the above information, calculate the following: (All work must be shown to get full credit)
a) Amount financed
b) Total amount of the monthly payments
c) Finance charge
d) Deferred payment price
Answers
Part A:
The amount financed is the amount he is owing after making the down payment.
Thus, the amount financed is given by the price of the new automobile minus the down payment = $22,800 - $2,000 = $20,800.
Part B:
Given that he makes a monthly payment of $388 for 60 months, thus the total amount of the monthly payments is given by $388 times 60 months = $388 x 60 = $23,280
Part C:
Given that the amount owed is $20,800 and the total monthly payment is $23,280.
The deferred payment price is the extra cost incurred by making monthly payments, this is given by $23,280 - $20,800 = $2,480.
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 pounds per day, in how many days will the kitten triple it's weight? How do I write this as an equation, and how do I find the answer?
Answers
Which number is bigger 2/3 or 66%
Answers
Reason:
2/3= 0.66666666
66%= 0.66
Thus 2/3 has a greater value
Hope this helps :))
500,000,000,000 in scientific notation
Answers
First you count to 0 zeros behind the 5 which is 11 zeros.
the scientific notation of 500,000,000,000 is:
₁₁
Answer: 5 x 10
I hop this helps :)
Which of the following expressions is equivalent to the expression x - (-3) ?
x - 3
x + (-3)
x + 3
-3x
Answers
Subtracting a negative number is the same as adding its absolute value. Hence, the expression x - (-3) is equivalent to x + 3 in mathematics.
Explanation:A negative number is equivalent to its absolute value when subtracted in mathematics. This is often referred to as the rule 'minus a negative is a positive'. Therefore, the correct answer is x + 3. This is because when you subtract -3 (which is a negative number), it is the same as adding 3. Here's the step by step explanation:
Start with the expression x - (-3). Recognize that subtracting -3 is the same as adding 3. Rewrite the expression as x + 3.This means that x - (-3) is equivalent to x + 3.
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The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Answers
Both Samuel and Helena are correct as the slope-intercept form and the point-slope form can be used to find the equation of a line given two points. The slope-intercept form is y = mx + b, while the point-slope form is y - y1 = m(x - x1). The methods vary but both are effective depending on the given information.
Explanation:Both Samuel and Helena are correct; they have mentioned different forms that can be used to find the equation of a line given two points. The slope-intercept form of a linear equation is commonly written as y = mx + b, where m represents the slope and b represents the y-intercept. The slope, m, describes the steepness of the line, and the y-intercept, b, is where the line crosses the y-axis. In contrast, the point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a specific point on the line and m is the slope. To find the slope, you take two points on the line, say, (x1, y1) and (x2, y2), and use the formula m = (y2 - y1)/(x2 - x1).
Either form will produce the equation of the line, but they require different approaches. The slope-intercept form immediately gives the y-intercept and is generally used when this information is valuable or when the graph will be drawn. Meanwhile, the point-slope form is particularly handy when you have one point on the line and the slope, as it can be used quickly without re-arranging the equation to solve for the y-intercept.
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Both Samuel and Helena's methods are valid for finding the equation of a line. The slope-intercept form (y = mx + b) requires finding the y-intercept, while the point-slope form (y - y1) = m(x - x1) uses a point on the line directly. Both forms yield the same final equation.
Both Samuel and Helena are correct, but they are using different methods to find the equation of a line. The slope-intercept form and the point-slope form can both lead to the same final equation of the line, which will be consistent after simplifying. Here's a step-by-step explanation of both forms:
Slope-Intercept Form (y = mx + b)Slope-Intercept Form is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
First, find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).Next, use one of the given points (x1, y1) and substitute in the found slope and coordinates to solve for b (the y-intercept).Substitute the slope and y-intercept back into the slope-intercept form.Example:
Given points (1, 2) and (3, 4):
Calculate the slope: m = (4 - 2) / (3 - 1) = 2 / 2 = 1.Use one of the points to find b: 2 = 1(1) + b; solving this, we get b = 1.Equation of the line: y = 1x + 1.Point-Slope Form (y - y1) = m(x - x1)The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
First, find the slope (m) using the same formula: m = (y2 - y1) / (x2 - x1).Use one of the given points (x1, y1) and substitute in the found slope.Simplify the equation to convert it to slope-intercept form if needed.Example:
Given points (1, 2) and (3, 4):
Calculate the slope: m = (4 - 2) / (3 - 1) = 2 / 2 = 1.Select point (1, 2): y - 2 = 1(x - 1).Simplify: y - 2 = x - 1;y = x + 1.
Both forms ultimately lead to the same linear equation. Choosing which form to use depends on what information is given and personal preference.