Answer:
The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]
Step-by-step explanation:
We need to find the slope-intercept equation of the line that goes through the points (1, 5) and (2, 8)
The general equation for slope intercept form is [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding slope
Slope can be found using formula [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x _1=1, y_1=5, x_2=2, y_2=8[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-5}{2-1}\\Slope=\frac{3}{2}[/tex]
So, we get slope [tex]m=\frac{3}{2}[/tex]
Finding y-intercept
y-intercept can be found using slope [tex]m=\frac{3}{2}[/tex] and point (1,5)
[tex]y=mx+b\\5=\frac{3}{2}(1)+b\\b=5- \frac{3}{2}\\b=\frac{10-3}{2}\\b=\frac{7}{2}\\[/tex]
So, we get y-intercept [tex]b=\frac{7}{2}[/tex]
Equation of line
So, equation of line having slope [tex]m=\frac{3}{2}[/tex] and y-intercept [tex]b=\frac{7}{2}[/tex] is:
[tex]y=mx+b\\y=\frac{3}{2}x+\frac{7}{2}[/tex]
The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]
(PLEASE HELP ASAP)
A plumber has a 12-foot piece of pipe. He needs 8 feet, 6 inches of pipe to repair a leak in a water line. How many inches of pipe will he have left after he makes the repair?
Answer:
3ft 6in or 42 inches in total
Step-by-step explanation:
hope this helps
Two similar triangles are show below:
Answer:
Third one!! I thinkk number 3
What is the simplest way to explain scale drawings for middle school math?
Answer:
The simplest way to teach middle school math scale drawings is to use real pictures to relate to each other to explain the concept. For example, scaling a red ball of 1" to a ball of 2" and so on. This will show how the ball increases by size by adding 1" each time.
A roll of fabric was 132 inches long.A customer bought 2 feet of fabric. How many feet of fabric were remaining?
Answer:
9 FEET
Step-by-step explanation:
YOU CONVERT THE INCHES TO FEET THEN SUBTRACT THE 2 FEET YOU GET 9 FEET
F(-2)=x^2-3x+4; find f(-2)
A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?
Answer:
No
Step-by-step explanation:
for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle
PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x
a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)
Answer:
(0,1)
Step-by-step explanation:
i recommend if you ever need a faster answer use desmos!
Use the following information for the question. Male players at the high school, college and professional ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballs are approximately normally distributed. Roughly what percentage of regulation basketballs weigh more than 23.1 ounces
Answer:
13.567%
Step-by-step explanation:
We solve the above question, using z score formula
z = (x-μ)/σ, where
x is the raw score = 23.1 ounces
μ is the population mean = 22.0 ounces
σ is the population standard deviation = 1.0 ounce
More than = Greater than with the sign = >
Hence, for x > 23.1 ounces
z = 23.1 - 22.0/1.0
= 1.1
Probability value from Z-Table:
P(x<23.1) = 0.86433
P(x>23.1) = 1 - P(x<23.1)
P(x>23.1) = 1 - 0.86433
P(x>23.1) = 0.13567
Converting to percentage
= 0.13567 × 100
= 13.567%
Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%
Dakota and Justine are training to be in the Sweat for Fun Run. They ran the same distance on Saturday, but Dakota finished in less time. They each plan to run for the same amount of time on Sunday. If their average speeds are consistent, who will run farther on Sunday?
Answer:
Dakota will run farther on Sunday.
Step-by-step explanation:
when they ran the same distance Dakota finished first, so she ran more miles per hour than Justine did. If they both run at the same speed on sunday that they ran on saturday, dakota will run farther because her speed is greater than justine's speed
Answer:
Dakota will run farther on Sunday.
Step-by-step explanation:
Graphing Polynomial Functions
Graph the following functions by making a table
of values
f(x)=x^5-3x^4+9x^3-x^2+2
Answer:
table and graph attached
Step-by-step explanation:
when Larissa's watch is fully charged, it can last for up to 20 hours before running out of battery. It has been 12 hours since Larissa's watch was fully charged. Write an inequality to describe the situation, then complete the sentence
Answer:
x + 12 ≤ 20 x=8
Step-by-step explanation:
Since Larissa is able to use it up for 20 hours and she has been using it for 12 hours now so add 12 with 12 and 20 with 12 then subtract the sum from the added numbers and you will get 8
So Larissa has 8 hours left on her watch before it needs to charge
If Matt buys 3 oranges for $2.79 at the fruit start, what is the rate per orange.
Answer:
the rate is $0.93 per orange
Answer: $0.93
Step-by-step explanation:
1. y = x - 1
y = -x + 1
Answer:
hdbjjvdskj djjvdvbkhhbvhj s
Step-by-step explanation:
A radio DJ frequently announces how much money is currently in a jackpot. Every day several randomly selected residents are called and asked to identify the amount, and thereby win it. Those who keep track of the jackpot amount are most likely to be reinforced on a __________ schedule.
Answer:
"Variable interval" is the right solution.
Step-by-step explanation:
A variable-interval timetable seems to be a fiber-reinforced routine where another sensitivity or reaction would be commended because an unanticipated or unstable transaction has taken place, which would be the exact reverse of either a fixed-interval routine. The whole such schedule results in a slow or predictable, fairly constant targeted respondents.Please help I am having a really bad day and crying all the time.
Answer:
7 dollars
Step-by-step explanation:
I hope this helps and i hope you have better days and stop crying because life is way to short for all of that and i dont know you but you dont deserve to cry all the time you should be happy if you want to talk about anything im here!
Can u guys help me please I need a correct answer
Answer:
4 4/7
Step-by-step explanation:
You multiply the n by 7 first because you are cross multiplying. So it would be 7n = 32.
So to simplify you would divide 32 by 7 to get n= 4 4/7
4 4/7 is a mixed number 4 is the whole and 4/7 is the fraction just to clarify
Or as a fraction it would be 32/7
Which of the following is an irrational number
Answer:
D) any number that isn't a perfect square is irrational
Step-by-step explanation:
Answer:
D PLEASE MARK BRANLIEST
The polygons are similar. Solve for x.
scale factor from A to B = 3:5
Answer:
9
Step-by-step explanation:
if scale factor is 3/5, then
(x+12):35=3:5, ⇒
[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]
Apply the distributive property to factor out the greatest common factor. 30 + 42
Answer:
The answer is 6(5+7)
Step-by-step explanation:
he label on a juice carton says there are 50 calories in a 4-ounce serving of juice.
Arthur drinks 12 ounces of juice.
How many calories will he consume?
48 calories
58 calories
150 calories
200 calories
Answer:
Step-by-step explanation:
150
Miko has a vast collection of books in her library. English books make up
3
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
Answer:
168 books
Step-by-step explanation:
Given
[tex]English = \frac{3}{8}[/tex]
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
Required
Determine the total number of books
If the proportion of the English books is 3/8, the the remaining is:
[tex]Remaining = 1 - English[/tex]
[tex]Remaining = 1 - \frac{3}{8}[/tex]
Take LCM
[tex]Remaining = \frac{8 - 3}{8}[/tex]
[tex]Remaining = \frac{5}{8}[/tex]
From the question, we understand that:
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
This means:
[tex]Chinese = \frac{5}{7} * \frac{5}{8}[/tex]
[tex]Chinese = \frac{5*5}{7*8}[/tex]
[tex]Chinese = \frac{25}{56}[/tex]
From the question, we also understand that 75 are Chinese books.
The total number of books can then be calculated using:
[tex]Chinese = \frac{25}{56} * Total[/tex]
Substitute 75 for Chinese
[tex]75 = \frac{25}{56} * Total[/tex]
Make Total the subject:
[tex]Total = \frac{56 * 75}{25}[/tex]
[tex]Total = \frac{4200}{25}[/tex]
[tex]Total = 168[/tex]
There are 168 books are there in her book collection if there are 75 Chinese books.
Given
Miko has a vast collection of books in her library.
English books = 3/8
Chinese books = 5/7.
Ratio proportion;A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.
The proportion of the English books is 3/8, the remaining is:
[tex]\rm Remaining\ books=1-\dfrac{3}{8}\\ \\ Remaining\ books=\dfrac{8-3}{8}\\\\ Remaining\ books=\dfrac{5}{8}[/tex]
Then,
Chines books = ratio of Chinese book × ratio of remaining books × Total books
[tex]\rm 75=\dfrac{5}{7}\times \dfrac{5}{8}\times Total \ books\\\\Total \ books =\dfrac{75 \times 7\times 8}{5\times 5}\\\\Total \ books =3\times 56\\\\Total \ books=168\\[/tex]
Hence, there are 168 books are there in her book collection if there are 75 Chinese books.
To know more about proportion click the link given below.
https://brainly.com/question/12674321
use the given function F(x)= 0.08x+4.02 to evaluate the values below
a) f (12.6) =
b) f (-1.09) =
I am really stuck it would mean the world if you could help :)
Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
The circumference of a roll of party streamers is 11 inches. The circumference decreases by 3 inches after you use the streamers to decorate for a birthday party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
Answer:
2.54 inches
Step-by-step explanation:
Jordan has a checking account. he withdrew $90 from an ATM Tuesday. Thursday he deposited $20. Friday he wrote a check for $15 what was the total change in Jordan account
Answer:
The total change in his account is of -$85, that is, a loss of $85
Step-by-step explanation:
We combine these changes. So
On Tuesday, he withdrew $90 from his account, which means that, the total change, initially of $0, is now of -$90.
On Thusday, he deposited $20, which means that the total change of -$90 is now of -$90 + $20 = -$70
On Friday, he wrote a check of $15, removing 15 from his account, which means the total change will be of -$70 -$15 = -$85
Can someone help me?
Answer:
12xe=d
Step-by-step explanation:
plz solve for brainlyest
Answer:
1.80
Step-by-step explanation:
What is the perpendicular slope of m=0?
Answer: The slope of a line perpendicular to a line with a slope of 0 is undefined. The perpendicular line is a vertical line. A line with a slope of 0 is a horizontal line.
Step-by-step explanation:
Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answer:
We conclude that:
The average rate = -1
Step-by-step explanation:
We need to find the Average Rate of Change from x = -2 to x = 1.
From the table it is clear that:
at x₁ = -2, f(x₁) = 3
at x₂ = 1, f(x₂) = 0
The formula to determine the average rate of change from x = -2 to x = 1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 3] / [1-(-2)]
= -3 / 3
= -1
Therefore, we conclude that:
The average rate = -1
If there are 22 students in a class and each student makes 4 posters how many posters will the class make
Answer:
88 is the answer 22 × 4 =88
What is one third time two hundred twenty two?
Answer:
74
Step-by-step explanation:
