Answers
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)
You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want
Related Questions
Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer
Answers
The 16 pound turkey cost $14.24 what was the price per pound
Answers
Melanie prepared 7 1/2 tablespoons of her spice mixture she is 1/4 tablespoon to make a batch of barbecue sauce estimate the number of batches of barbecue sauce she can make by using the spice mixture
Answers
Answer: There are 30 batches of barbeque sauce that she can make by using the spice mixture.
Step-by-step explanation:
Since we have given that
Number of tablespoons of her spice mixture = [tex]7\dfrac{1}{2}=\dfrac{15}{2}[/tex]
Number of tablespoons to make a batch of barbeque sauce = [tex]\dfrac{1}{4}[/tex]
so, the number of batches of barbeque sauce would be
[tex]\dfrac{15}{2}\div \dfrac{1}{4}\\\\=\dfrac{15}{2}\times 4\\\\=15\times 2\\\\=30[/tex]
Hence, there are 30 batches of barbeque sauce that she can make by using the spice mixture.
8,473,227 round to the nearest 100,000
Answers
hope it helps!
Help me with number 7 plz
Answers
7b. 5 tons is 10,000 lbs because 1 ton = 2000lbs therefore the answer is > (Greater than)
7c. 1 quart equals 2 pints therefore 5 quarts equals 10 pints making this = (Equal to).
7d. 600 yards is equal to 0.34 miles therefore the answer is > (Greater than)
Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340
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The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
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Please make this answer the brainliest!
P = Perimeter = 2L + 2W.
Then P = 2(13 ft) + 2(9 ft) = 26 ft + 18 ft = 44 ft (answer)
Let x be the number of boys in a family of 4 children. Determine the values of the variable x. please answer.
Answers
Find the circumference of the circle in terms of pi.
A. 39 in
B. 1521 in.
C. 78 in
D. 156 in
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The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],
[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]
Correct choice is (C).
Answer:
Option C is correct
78 π inches
Step-by-step explanation:
Circumference (C) of a circle is given by:
[tex]C = 2 \pi r[/tex] .....[1]
where, r is the radius of the circle.
As per the statement:
From the given figure;
radius of the circle(r) = 39 in.
Substitute this value in [1] we have;
[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]
Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]
The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answers
149.25
149.5
150.75
152.0
Bradley is the tallest, so he is 152.0
Josh is the shortest, so he is 149.25
Calvin is taller than josh, but shorter than mark,
So Calvin is 149.5, making Mark 150.75cm
Answer:
150.75 cm
Step-by-step explanation:
Given heights,
152.0 cm, 150.75 cm, 149.5 cm, and 149.25,
∵ Calvin is taller than Josh, but shorter than Mark,
The increasing order of heights,
Josh < Calvin < Mark,
Also, Bradley is the tallest,
That is, the height of Bradley is the greater than Josh, Calvin and Mark,
So, the final increasing order of heights,
Josh < Calvin < Mark < Bradley
∵ 149.25 < 149.5 < 150.75 < 152.0
Hence, the height of Mark is 150.75.
Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?
Answers
Answer:
(12,24)Step-by-step explanation:
Givens
The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).We can deduct the equation that represents this problem using the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]
So, for [tex]y=24[/tex], we have
[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]
Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).
Drag the numbers to order them from least to greatest.
Answers
Answer:
-4 1/2, -1/2, 1/4, 2/3, 2 1/3
Step-by-step explanation:
Given the numbers in the order below;
-1/2, 1/4,2/3,-4 1/2, 2 1/3
Firstly we will convert this fractions to percentage.
For -1/2;
-1/2×100 = -50%
For 1/4;
1/4×100 = 25%
For 2/3;
2/3×100 = 66.7%
For -4 1/2 = -9/2
-9/2×100 = -450%
For 2 1/3 = 7/3
7/3×100 = 233.1%
Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)
During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;
-450%, -50%, 25%, 66.7%, 233.1%
According to their fractions will give us;
-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)
Divide.
−10÷5
Drag and drop the correct number into the box to complete the sentence.
The quotient is .
Answers
Find the percent of the total area under the standard normal curve between the given z-scores. z= -1.10 and z= -0.36
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To find the percent between two z-scores under the standard normal curve, subtract the individual areas. In this case, the percentage between z = -1.10 and z = -0.36 is 1.72%.
To find the percent of the total area under the standard normal curve between z-scores, you need to first calculate the difference between the two areas to the left of each z-score. Given that the area to the left of z = -1.10 is 0.3446 and the area to the left of z = -0.36 is 0.3618, you can find the percent between them by subtracting these values: 0.3618 - 0.3446 = 0.0172 or 1.72%.
write a rule for the linear function in the table.
a. f(x) = -3x - 4
b. f(x) = -1/3x - 4
c. f(x) = x - 7
d. f(x) = 3x + 4
Answers
a. f(x) = -3x - 4
-------------------
Answer:
i dont know
Step-by-step explanation:
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?
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Amy sold 1/9......1/9(500) = 500/9 = 55.5
Garret sold 0.145.....0.145(500) = 72.5
Robbie sold 12/100.....0.12(500) = 60
Carlita sold 0.095.....0.095(500) = 47.5
Garret sold the most
or u could have done it this way...
Amy sold 1/9.....1/9 = 11.1%
Garret sold 0.145 = 14.5%
Robbie sold 12/100.....12/100 = 12%
Carlita sold 0.095....0.095 = 9.5%
u will still get the same answer...Garret
Amy - 1/9
Robbie - 3/25
Garret - 29/200
Carlita - 19/200
What is the common denominator?
1800
Change the denominators.
Amy - 200/1800
Robbie - 216/1800
Garret - 261/1800
Carlita - 171/1800
Since Garret's fraction is the greatest, Garret sold the most papers.
Solve for y in terms of x 2/3y-4=x
Answers
(2/3)(x+4)=y
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3y - 4 = x
2/3y = x + 4
y = 3/2(x) + 4*3/2
y = 3/2x + 6
hence the answer is y = 3/2x + 6
hope this helps
Twelve large bottles of water cost $9. How much would 7 bottles of water cost?
Answers
The cubs won 87 games in 2013 and 75 games in 2014. Find the percent decrease?
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First: work out the difference between the two numbers that you are given with.
Decrease = Original Number - New Number
Second: divide the decrease by the original number and multiply the answer by 100.
In formula terms it would look like this percent of decrease = Decrease ÷ Original
Number × 100
= (87-75) / 87 x 100
= 12/87 x 100
= 0.137931034 x 100
=13.79%
To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.
Explanation:To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.
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At 2:30 am the temperature in Joelle is 3 F. The temperature drops 3/4 of a degree in 30 min. What is the temperature on Joelle at 3:00am?
Answers
Answer: B. [tex]=2.25^{\circ}F[/tex]
Step-by-step explanation:
Given: At 2:30 am the temperature in Joelle is 3 F.
The temperature drops 3/4 of a degree in 30 min.
3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]
Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]
[tex]=3^{\circ}F-0.75^{\circ}F[/tex]
[tex]=2.25^{\circ}F[/tex]
Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]
Round 0.955 inches to the nearest tenth of an inch
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_____________________________________________________
"1.0 inch" ; (or, write as: "1.0 in." ; or even: "1.0 inches" .) .
____________________________________________________
Given: "0.995 inches" ; round to the nearest TENTH of an inch.
(which means; round to the nearest "first decimal point" ; and to include the actual first decimal point (and that decimal point only, the "tenths place").
We are given the number: "0.955" . This is given to the nearest THOUSANDS.
We examine the "tenths place": "0.9" . So we know our choices are:
"0.9" (round down to the nearest tenths place); or, "1.0" (round up to the nearest tenths place).
→ We examine the number: "0.955" ; and look to the next value, the "hundredths place".
→ If that digit is 5 or greater (i.e. 5 to 9), we "round up" ; and the correct answer is: "1.0" . If that number is "4" or less (i.e. 0 to 4), we round down; and the correct answer is: "0.9".
________________________________________
In the case of our give value: "0.955" . The digit to the right of "9" is "5" ; so, as previously mentioned, we "round up" ; to: "1.0".
Do not forget to include the units.
______________________________________________________
The answer is: 1.0 inches.
______________________________________________________
The nearest tenth is the first digit after the decimal point. The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
Given 0.995 inches
round to the nearest tenth of an inch.
This means round to the nearest first decimal point and to include the actual first decimal point (and that decimal point only, the tenth place).
We are given the number 0.955. This is given to the nearest thousands.
We examine the tenth place at 0.9.
So we know our choices are
What is the nearest tenth?The nearest tenth is the first digit after the decimal point.
0.9 (round down to the nearest tenths place) or 1.0 (round up to the nearest tenths place).
We examine the number 0.955 and look to the next value, the hundredths place
If that digit is 5 or greater we round up and the correct answer is 1.0.
If that number is 4 or less (i.e. 0 to 4), we round down and the correct answer is 0.9.
In the case of our give value: 0.955.
The digit to the right of 9 is 5 so, as previously mentioned,
we round up to 1.0.
Therefore, The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
The answer is 1.0 inches.
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After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.
Write an equation that represents the value V (in dollars) of the car x years after it is purchased.
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so, after 3 years we have:
Original - 12000 = 18000
=> Original = $30,000
Answer:
Original - 4000x
so, after 3 years we have:
Original - 12000 = 18000
=> Original = $30,000
Step-by-step explanation:
28 divided by 7 add 2 mutiply 3 equals ?
Answers
4 plus 2 is 6
6 multiplied by 3 is 18
So it would be
[tex] \frac{28}{7} +2*3=18[/tex]
Hope I helped!
How do you find and use the greatest common factor of two whole numbers
Answers
The greatest common factor of two whole numbers can be found by an example given.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).
For example;
we have the 52, and 24, for a number that can go into both that is the largest possible for my example
That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.
Therefore, the greatest common factor of two whole numbers can be found by an example given.
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Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Answers
Answer:
y-5=-1/2(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-1-(-3))
m=-1/(-1+3)
m=-1/2
y-y1=m(x-x1)
y-5=-1/2(x-(-3))
y-5=-1/2(x+3)
Evaluate the expression 14x + y when x = 11 and y = 20.
Answers
By hypothesis, x = 11 and y = 20.
So in the expression 14x + y, you just replace x by 11 and y by 20.
14x + y = 14 * 11 + 20 = 154 + 20 = 174
Hope this helps! :)
174
A telephone company charges a monthly rate plus a rate per minute of usage.
Answers
Answer:
Step-by-step explanation:
dude really put what i typed as a question.
Please answer All!!! (first part)
Answers
-0.5(-4) +1= 2+1 =3
-0.5(-2)+ 1= 1+1 = 2
-0.5(0) + 1 = 1
-0.5(2) + 1 = -1 + 1 = 0
-0.5(4) + 1 = -2+1 = -1
The answers follow left to right
5.
Y=1
Y=-1
Y= 1
Y= 3
Y= 7
This answer also I ordered
which two lines are parallel? 1) 4y=3x-4 2)4y=-1-3x 3) 4y+3x=-1
Answers
y=mx+c
on comparing the given equations with the standard one
for 1)m=3/4
2)m=-3/4
3)m=3/4
clearly line 1 and 3 have the same slope
hence 1 and 3 are parallel
hope you understand
Which table represents a function.