Answer:
The equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
Step-by-step explanation:
Given that
Slope of line: 7
Point : (1,2)
Slope-intercept form of equation of line is given by:
[tex]y = mx+b[/tex]
Here m is the slope and b is y-intercept.
Putting the value of slope
[tex]y = 7x+b[/tex]
To find the value of b, we have to put the point in the equation
[tex]2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5[/tex]
So the equation will be:
[tex]y=7x-5[/tex]
The standard form of equation of line is:
[tex]Ax+By = C[/tex]
To convert the equation in standard form, subtracting 7x from both sides
[tex]y-7x = 7x-5-7x\\-7x+y = -5[/tex]
Hence, the equation of line is as follows:
Slope-intercept form: [tex]y = 7x-5[/tex]
Standard Form: [tex]-7x+y = -5[/tex]
The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is 7x - y = 5.
To find the equation of a line in slope-intercept and standard form.
First, we can write the equation in point-slope form. The point-slope formula states:
(y − y₁) = m (x − x₁)
Where m is the slope and
(x1, y1) is a point the line passes through.
Substituting the values from the problem gives:
(y − 2) = 7(x − 1)
Now, we need to convert to standard form.
The standard form of a linear equation is:
Ax + By = C
where, if at all possible,
A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
We convert as follows:
y − 2 = (7 × x) − (7 × 1)
y − 2 = 7x − 7
−7x + y − 2 = − 7
Adding 2 in both side.
−7x + y − 2 + 2 = − 7 +2
-7x + y = -5
7x - y = 5
Therefore, the equation of a line in slope-intercept and standard form is 7x - y = 5.
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1.15÷0.23=? pls answer guys
Answer:
5
Step-by-step explanation: I used a calculator
Marlon earned $8.50 per hour plus an additional $80 in tips waiting tables on Saturday. He earned at least $131 in all. If h represents the number of hours Marlon worked, which inequality represents the minimum number of hours, to the nearest hour, that Marlon worked on Saturday?
Question 1 options:
8h + 80 ≥131
80h + 8.50 ≥ 131
8.50h + 80 ≤ 131
80h + 8.50≤ 131
Answer:
8.50h + 80 ≥131Step-by-step explanation:
The answer is not in the option
Step one:
given data:
we are told that the hourly earning= $8.50
then additional tip=$80
total earnings=$131.
Step two:
the linear function for the total earning is the same as the equation of a line
y=mx+c
where
y represents the total earning of $131
m represents the hourly earning= $8.50
x represents the number of hours h
c represents the tip of $80
The expression for the situation is modeled as
8.50h + 80 ≥131A 26-by-27-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. Find the width of the margins if the printed area is to be 360 in2.
Answer:
Step-by-step explanation:
Let the width of the margins as x.
So, we subtract 'x' width on each side of the paper.
So, length = 26-x-x= 26-2 x
Width = 27-x-x=27-2 x
Now, it is given printed area is 360
We can set up equation using length x width = Area
(26-2 x)(27-2 x) = 360
Multiply the left side using FOIL method,
702 -52 x-54 x+4 x^2 =360
Combine like terms
702-106x+4x^2=360
Subtract both sides 360
4x^2-106x+342 =0
Let's divide both sides by 2 to simplify
2x^2 -53x+171=0
Let's use quadratic formula to solve.
I'll upload the file for this.
There are two possible values for x.
Approximately x= 22.46 , x=3.76
Here x=3.76 works b
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-‐up fee of $250, and it charges $6.00 to burn each CD. define the variabvles in this situation
can someone help please ill give brainlyest if right
Then according to the above statement, we have the following equation:-
[tex]3 + 4x = 6x - 5[/tex]
Subtract 4x from both sides , we get
[tex]3 = 2x - 5[/tex]
Add 5 on both the sides , we get
[tex]8 = 2x[/tex]
Divide both sides by 2 , we get
[tex]4 = x[/tex]
Hence, the number is 4
Solve for s.
4s + 6s - 4 = 6
Answer:
s = 1
Step-by-step explanation:
4s + 6s - 4 = 6
10s - 4 = 6
+ 4 +4
10s = 10
10s/10=
s = 1
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
A circle has its centre at the origin and has equation
x + y = 81
What is the size of the radius?
Answer:
radius = 9
Step-by-step explanation:
The equation of the circle centred at the origin is
x² + y² = r² ( where r is the radius )
Given
x² + y² = 81, then
r² = 81 ( take the square root of both sides )
r = [tex]\sqrt{81}[/tex] = 9
Find the value of a. The diagram is not to scale.
Answer: B. a = 144 degrees
Step-by-step explanation:
180=36+a
144=a
Step-by-step explanation:
hope it's obvious both the reason is being cointerior angle
plz follow me
4. Solve for x.
16
9
What kind of math equation is it
give an example of a rational number
PLZZZ HELP ME 10 PTSS
What is the product of -3 1/3and -8 7/10?
A. 9/5
B. 2
C. 275/30
D. 29
Answer:
5 31/ 30 or 6 1/30
Step-by-step explanation:
I wish this helped you
Answer:
D. 29
Step-by-step explanation:
First, let's make things a bit easier for ourselves and convert mixed numbers to improper fractions
[tex]-\frac{10}{3}* -\frac{87}{10}[/tex]
Next, we check for numbers that can cancel out. In this case, we have 10.
[tex]-\frac{1}{3}*-\frac{87}{1}[/tex]
Because negatives cancel out, we get
[tex]\frac{87}{3}[/tex]
when we multiply.
Fractions just mean division, so we divide 87 by 3 and get
D. 29
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x dollars per unit. Which of the following statements best interprets the average rate of change of this function from x = 50 to x = 55?
The profit increases by $375 for every $1 increase in the selling price.
The profit decreases by $375 for every $1 increase in the selling price.
The profit increases by $1875 for every $1 increase in the selling price.
The profit decreases by $1875 for every $1 increase in the selling price.
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:
[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)
Now we evaluate the function at each bound:
x = 50
[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]
[tex]P(50) = 11[/tex]
x = 55
[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]
[tex]P(55) = 9.125[/tex]
Then, the average rate of change is:
[tex]r = \frac{9.125-11}{55-50}[/tex]
[tex]r = -0.375[/tex]
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.
The profit function is given as:
[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]
Calculate P(x), when x = 50.
So, we have:
[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]
[tex]P(50) = 11[/tex]
Calculate P(x), when x = 55.
So, we have:
[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]
[tex]P(55) = 9.125[/tex]
The average rate of change from x = 50, to 55 is then calculated using:
[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]
So, we have:
[tex]m = \frac{9.125 - 11}{55-50}[/tex]
[tex]m = \frac{-1.875}{5}[/tex]
Divide
[tex]m = -0.375[/tex]
The function is in 1000 units.
So, we have:
[tex]m = -0.375\times 1000[/tex]
[tex]m = -375[/tex]
-375 implies a decrease of $375 for every $1 increase in sales
Hence, the correct statement is (b)
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A dripping faucet leaks 3 ounces of water each minute. How many ounces of water leak in 2 hours and 15 minutes?
Answer:
405 ounces of water
Step-by-step explanation:
1 hr = 60 mins
2hrs= 120 mins (60 x 2)
120 + 15 = 135
135 x 3 = 405
Answer:
the answer is 1.875 gallons
Step-by-step explanation:
find the equation of the line.
use exact numbers.
y=__x+__
Answer:
[tex]y = -\frac{3}{2}x+ 3[/tex]
Step-by-step explanation:
35 is what percent of 25
Answer:
Step-by-step explanation: Convert fraction (ratio) 35 / 25 Answer: 140%
The number 35 is 140% of the given number 25.
A fraction or proportion expressed as a percentage of 100 is called a percentage. "%" is used to represent it. Frequently, percentages are employed to indicate relative values, compare amounts, and represent components of a total.
To find out what percent 35 is of 25, we can use the following formula:
Percent = (Part / Whole) * 100
Identify the part and the whole. In this case, 35 is the part and 25 is the whole.
Substitute the values into the formula:
Percent = (35 / 25) x 100
Simplify the expression inside the parentheses:
Percent = 1.4 x 100
Multiply the simplified expression by 100:
Percent = 140
Therefore, 35 is 140% of 25.
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Mallory records the number of hours she spends babysitting and the amounts of money she is paid. What is the constant rate of proportionality between the number of hours Mallory babysits and the amount of money she is paid, in dollars?
Please explain as well, I do not understand how I would find the answer.
Answer:
Mallory gets paid $20 for every 1 hour.
Step-by-step explanation:
You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20
ratio 1 hr./20 dollars
teresa purchased a prepaid phone card for $30. Long distance calls cost 7 cents a minute using this card. Teresa used her card only once to make a long distance call. if the remaining credit on her card is $28.32, how many minutes did her call last?
Answer:
24min
Step-by-step explanation:
30-28.32=1.68
1.68/0.07cents=24
Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of 3 inches per month and its height at the time of purchase was 15 inches. Write an equation for
H
,
H, in terms of
t
,
t, representing the height, in inches, of the plant
t
t months after Angel bought the plant.
H = 15 + 3t, is the equation representing the height, in inches, of the plant tt months after Angel bought the plant.
What is an equation?Equation is a mathematical and physical statement that describes physical occurrences and the relationship between various physical quantities. It usually consists of basic variables that show physical quantities, but it may also point to a personal variable like your energy.
An equation that has a "equal to sign (=)" either reveals the answer or represents the value of the variable. However, since there is no equal sign in the case of an expression, there can be no clear answer and the value of the concerned variable cannot be displayed.
Given that,
H representing the height, in inches, of the plant
t months after Angel bought the plant
Thus, equation becomes: H = 15 + 3t
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Plssss help meeee!!!
Answer:
The Answer is C
Step-by-step explanation:
To simplify the expression you will simply need to take the -7 and multiply it by each of the exponents. -7 times -3=21 and -7 times 3=-21
Hope this helps.
Please help due in a hour!!
Answer:
f(x)=1/2(x-4)^2+2
pls answer this One way to solve an equation or inequality that has both decimals and fractions is to change the
fractions to decimals. What is another way to solve an equation or inequality that has both fractions and
decimals?
Answer:
Turn everything into fractions. You can also combine like terms.
Step-by-step explanation:
There are 92,746 seats available for fans at UGA's Sanford Stadium. Auburn University's Jordan-Hare Stadium has seating for 87,451 for fans. How many more seats are there at UGA's stadium?
Given :
Number of seats at UGA's Sanford Stadium, [tex]n_1 = 92,746[/tex] .
Number of seats at Auburn University's Jordan-Hare Stadium, [tex]n_2=87,451[/tex] .
To Find :
How many more seats are there at UGA's stadium.
Solution :
Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at
Auburn University's Jordan-Hare Stadium
= 92,746 - 87,451
= 5295
Hence, this is the required solution.
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)
Review the four points shown on the polar coordinate
system.
Which point represents (3. - *)?
7/2
2003
03
O point A
O point B
O point C
O point D
57/6
2/6
B
A
0
2
4
6
D
7706
11-06
4903
503
3,2
Mark this and return
Save and Exit
Next
Submit
Answer:
A edge 2021
Step-by-step explanation:
Point A Represents (3,-5π/3).
What is a polar coordinate?The distance from a point to the origin (r) and the angle this line makes with a fixed line (Θ) are the two coordinates that specify where a point is located in a plane.
The radius of circle is 3 units.
The angle in the polar coordinate measured clockwise is considered negative and measured anticlockwise as positive.
In order to get the position of the angle from the x-axis the angle should be added by 2π as
Θ = 2π-5π/3
Θ = π/3
The angle is calculated clockwise.
From the diagram point, A represents the angle π/3.
Thus, the Point A Represents (3,-5π/3).
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Solve for y.
4(y - 8) + 6 = 58
Answer:
[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]
21 is the answer.....Hopes to get BRAINLIEST......Hopes it helps you.......Thank you ☺️
PLZ HELP 20 POINTS I REALLY NEED THIS KKKJHGKJHGKJHGKJHGKJHG
GUYS I NEED HELP FAST PLEASE
Answer:
Q1, x=2 and all sides equal 8
Q2, x=3, MN and MP equal 10 and NP equals 8
Step-by-step explanation:
On an equilateral triangle all sides are equal
6x-4=3x+2
6x=3x+6
3x=6
x=2
6x-4
6(2)-4
12-4
8
On a isosceles triangle the two long sides are equal
4x-2=5x-5
4x=5x-3
-x=-3
x=3
4x-2
4(3)-2
12-2
10
3x-1
3(3)-1
9-1
8
How would you graph the result of -3 + 5 as a point on the number line?
two places to the right of zero
two places to the left of zero
eight places to the right of zero
eight places to the left of zero
Golf balls come in a variety of packages. A particular brand of golf balls come in packages of 12 or in packages of 18. The 12-pack costs $4.47 and the 18-pack costs $14.46. Which is the better deal and what is the unit price of the better deal?
Answer:
The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.
Step-by-step explanation:
To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:
$4.47/12=$0.37
$14.46/18=$0.80
According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.
Express (31 – 4)(x + 7) - 1x as a trinomial in standard form.
Answer:
This would be 26 x + 189
