The given equation of the line is in slope-intercept form. To convert it to standard form, simply rearrange so that all terms are on one side of the equation resulting in 3x + y = 2.
Explanation:The equation you're given is y=2-3x which is in the slope-intercept form i.e., y = mx + b, where m is the slope and b is the y-intercept. To convert this equation to a standard form, the general approach is to eliminate fractions and have the 'y' and 'x' terms on the same side of the equation.
Starting from y = 2 - 3x, add 3x to both sides of the equation to get it in the standard form. So, it becomes 3x + y = 2, which is the standard form of the given equation.
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How to find the domain and range of a function
What is the simplified expression for ?
5^-3 = 0.008
2^2 = 4
5^6 = 15625
0.008*4*15625 = 500
2^3 = 8
5^2 = 25
25*8 = 200
500/200 = 5/2 = 2 1/2
For a triangle. Find the measure of angle 1 when the other 2 angles are 117 and 33.
A. 30°
B. 33°
C. 57°
D. 63°
Answer:
It is 30 exactly um. yes or no
Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a check for $225.00 for a loan payment. Yesterday he deposited $96.75 in his checking account. What is Jose's current balance? A. $1,441.19 B. $1,477.93 C. $894.44 D. $991.19
Answer:
D. $991.19
Step-by-step explanation:
He starts with $1,234.56 in his account. He has to pay for plumbing supplies, so he writes a check for $115.12 and we have to subtract that amount from his account.
Now he has $1,234.56 - $115.12 = $1,119.44
After that, he has to pay a loan so he writes a check for $225.00.
Now he has $1,119.44 - $225.00 = $894.44
Finally, he deposits $96.75 in his account, so we have to add that amount to the amount he had before.
That's $894.44 + $96.75 = $991.19
Store employees are handing out coupons. Every 10th customer gets a $1 coupon. Every 12th customer gets a $2 coupon. Which customer is the first to receive both coupons?
Find the supplement of an angle whose measure is 74 degrees and 51 minutes
Final answer:
The supplement of an angle measuring 74 degrees and 51 minutes is 105 degrees and 9 minutes. This is calculated by subtracting the given angle from 180 degrees, and borrowing if necessary when subtracting minutes.
Explanation:
To find the supplement of an angle whose measure is 74 degrees and 51 minutes, we need to subtract this angle from 180 degrees. One degree has 60 minutes, so if the subtraction of minutes goes below zero, we need to borrow 1 degree (which is equivalent to 60 minutes).
Step-by-Step Solution
Start with 180 degrees 0 minutes.
Subtract the given angle, which is 74 degrees 51 minutes, from 180 degrees 0 minutes.
If the minutes part of the subtraction is negative, borrow 60 minutes from the degrees.
By subtracting the given angle from 180 degrees, we have: 180° 0' - 74° 51' = 105 degrees and 9 minutes (because we borrow one degree to make up 60 minutes).
So, the supplement of the angle is 105 degrees and 9 minutes.
Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
PLEASE HELP!!!
What is 7.8×105 hours in days?
A)1.872×10^4 days
B)3.250×10^6 days
C)1.872×10^8 days
D)3.250×10^4 days
Answer:
D) 3.250×10^4 days
Step-by-step explanation:
You know there are 24 hours in a day, so the number of hours must be divided by the hours per day to find the number of days:
(7.8×10⁵ h)/(2.4×10¹ h/da) = (7.8/2.4)×10⁵⁻¹ da = 3.250×10⁴ da
Answer:
PLEASE HELP!!!
What is 7.8×105 hours in days?
A)1.872×10^4 days
B)3.250×10^6 days
C)1.872×10^8 days
D)3.250×10^4 days
Step-by-step explanation:
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descendants. How far should she travel in each descent?
divide total distance by the number od descents they want to do it in
100 / 5 = 20
so each one should be 20 feet
Please help me!!! <3
Answers are included!! ✌✿☯
9x+4 +32 = 90
9x+36 = 90
9x=54
x = 54/9 = 6
x = 6
Gabriela works at a nearby electronics store. She makes a commission of 14\%14%14, percent on everything she sells. If she sells a camera for \$589.00$589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?
Solve 2x+y=72x+y=7 for yy.
Answer:
The solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is [tex]\(y = 7 - 2x\).[/tex]
Explanation:
To solve the equation [tex]\(2x + y = 7\)[/tex] for [tex]\(y\)[/tex], we isolate [tex]\(y\)[/tex] by moving [tex]\(2x\)[/tex] to the other side of the equation. Subtracting [tex]\(2x\)[/tex] from both sides gives [tex]\(y = 7 - 2x\).[/tex]This expression represents [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex], indicating that [tex]\(y\)[/tex] is equal to [tex]\(7\)[/tex]minus twice the value of [tex]\(x\)[/tex]. Thus, for any given value of [tex]\(x\)[/tex], we can find the corresponding value of [tex]\(y\)[/tex] using this equation.
To solve the system of equations [tex]\(2x + y = 7\) for \(y\)[/tex], you can follow these steps:
1. Subtract [tex]\(2x\)[/tex] from both sides of the equation:
[tex]\[y = 7 - 2x\][/tex]
So, the solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is [tex]\(y = 7 - 2x\).[/tex]
How do you solve this ?
width = w
length = w+8
perimieter = 256 feet
formla for perimeter is p=2L+2w
so you have: 256 =2(w+8) +2w =
256 = 2w+16 +2w
256= 4w+16
240=4w
w=240/4 = 60
width is 60 feet
length = 60+8 = 68 feet
Jenny had $17 more than susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. how much money did susan have? answer
Suppose that PR= 47. Solve for x and find the length of segments PQ and QR
Put 1/2 1.1 5/3 20 0.4 -2 and 5/8 in order
Find the mean of the data set. if necessary, round to the nearest tenth 18.1, 17.9, 16.8, 18.7, 15.1
Why is it not reasonable to say that 4.23 is less Than 4.135 because 4.23 Has fewer Digits After The decimal Point Than 41.35?
What are the intercepts of 7x+2y-14z=56
Which of the following is a conditional statement?
I must pay all my bills on time each month.
I work to earn money.
When I save money, I have enough money to cover emergencies.
Emergencies cost money.
A conditional statement establishes a condition between two statements - if the first is true, the second is also true. In the provided examples, 'When I save money, I have enough money to cover emergencies' is a conditional statement. It suggests that saving money leads to having enough for emergencies, a classic 'if-then' setup.
Explanation:In the context of logic and reasoning, a conditional statement is an if-then statement. It is a type of logical statement that establishes a condition between two statements, such that if the first statement (the 'if' part) is true, then the second statement (the 'then' part) is also true.
Out of the examples provided in the question, 'When I save money, I have enough money to cover emergencies' is a conditional statement. This is because it suggests a condition where the act of saving money results in having enough money for emergencies. If the action (saving money) is true, then the result (having money for emergencies) is also true.
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Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits all together, how many of each did she buy.
Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Becky bought seven more packages of dried apples than dried apricots.
Let x be the number of dried apples
Let y be the number of dried apricots
x = y + 7
She bought fifteen of these two fruits all together
x + y = 15
The above two equation represents the linear equation in two variables, solving the linear equation in two variables by the substitution method:
y + 7 + y = 15
2y = 15 - 7
2y = 8
y = 8/2
y = 4
x = 4 + 2 = 6
Thus, Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
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Write the equation of the line that is parallel to 2x=1-3y and passes through (9,4).
The relationship between parallel lines is that they have the same slope. The equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
Given that:
[tex]2x = 1 - 3y[/tex]
First, we make y the subject
[tex]2x - 1 = 3y[/tex]
Divide both sides by 3
[tex]y = \frac 23x - \frac 13[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope[/tex]
So, by comparison:
[tex]m = \frac 23[/tex]
Parallel lines have the same slope.
So the slope of the line that passes through (9,4) is [tex]m = \frac 23[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = \frac 23[/tex]
[tex](x_1,y_1) = (9,4)[/tex]
So, the equation becomes:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac 23(x - 9) + 4[/tex]
Expand
[tex]y = \frac 23x - 2 \times 3+ 4[/tex]
[tex]y=\frac 23x - 6 + 4[/tex]
[tex]y=\frac 23x -2[/tex]
Hence, the equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
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In the diagram which of the following segments is congruent to segment AB
To identify a segment congruent to segment AB based on the scenarios provided, one should look for shared lengths or properties of geometric figures that indicate congruence such as equal markings or vector properties.
Explanation:The question appears to be discussing congruent segments within geometrical diagrams, likely in the context of triangles or vectors. In geometric terms, congruent segments are segments that have the same length. From the information provided, several scenarios involving congruent segments are described. For example, when two triangles within different mediums share a segment, such as AB', or when judgment is required to determine congruence, as in Asch's conformity study.
In order to determine which segment is congruent to segment AB without the accompanying diagram, one would need to look for indications of shared lengths, parallel lines, or properties of similar triangles or figures. Typically, one would look for notation such as 'equals' marks on the segments or use the properties of the specific geometric shapes given (like the properties of triangles or the rules pertaining to vectors) to identify congruent segments.
In the diagram, segment AB is congruent to the segment on the surface AB' which is shared by both the triangle ABB' and AA'B'.
Explanation:In the given diagram, segment AB is congruent to the segment on the surface AB', which is shared by both the triangle ABB' inside medium 1 and the triangle AA'B' inside medium 2. This is because the angles
A car rents for $35 per day plus 21 cents¢ per mile. if x represents the number of miles jorge drives per day, 35 plus+0.21x represents the cost of the rental. if jorge has $98 to spend for the daily car rental, what is the maximum number of miles he can travel per day
Final answer:
With a daily budget of $98 for car rental, where the rental costs $35 per day plus 21 cents per mile, Jorge can drive a maximum of 300 miles per day.
Explanation:
If Jorge has $98 to spend for the daily car rental, where the cost comprises a fixed charge of $35 and 21 cents per mile, we use the equation 35 + 0.21x = 98 to find the maximum number of miles he can travel per day, with x representing the number of miles. Subtracting 35 from both sides of the equation gives us 0.21x = 63. Dividing both sides by 0.21 yields x = 300. Therefore, Jorge can drive a maximum of 300 miles per day within his budget.
A watermelon seed is 0.4cm long. How far would a line of 124 watermelon seeds stretch? Write your answer in meters.
How to check if something is an eigenvalue of a matrix?
A video game system and several games are sold for $ 576 The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
The cost of the video game system is $144 and the cost of the games is $432.
Determining the costs of the video game system and the games:
Let the cost of the video game system be x, and the cost of the games be 3x since the games cost 3 times as much as the system.
The total cost is $576, so we can set up the following equation:
x + 3x = 576
Combining like terms:
4x = 576
Solving for x:
x = 576/4
x = 144
Now, we find the cost of the games:
The cost of the system is x = 144 dollars.
The cost of the games is 3x = 3 × 144 = 432 dollars.
what the value of the expression? (11 - 4) x (6 + 5)
What is the value of the dependent variable if the value of the independent variable is –1?
f(x) = 8x^5+2x
A. –10
B. 6
C. –6
D. 10
The difference of a number x and 1/2
The required equation is x - 1/2 .
It is required to find the equation.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
According to given question we have,
The difference of a number x and 1/2 is
x - 1/2
Therefore, the required equation is x - 1/2 .
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