please help me
consider the following equations :
A) 2x+3y=12
B) 2x+3y=6
How will the graphs of the two equations differ from each other ?
The graphs of the two equations differ from each other because they have different y intercepts.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
The first equation is given by:
2x + 3y = 12
3y = -2x + 12
y = (-2/3)x + 12 (1)
Hence the first equation has a slope of -2/3 and y intercept of 12.
The second equation is given by:
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 6 (2)
Hence the second equation has a slope of -2/3 and y intercept of 6.
The graphs of the two equations differ from each other because they have different y intercepts.
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The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x - 18 = 11 18 - x = 11 -x 18 = 11 x 18 = 11 user: solve for y. y - 12 = -10 y = 22 y = -22 y = -2 y = 2
Rewrite 5x(12+7) using distributive property
To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.
Explanation:To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.
First, let's distribute the 5 to the 12:
5 x 12 = 60
Next, let's distribute the 5 to the 7:
5 x 7 = 35
Putting it all together, we have:
5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95
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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]
To rewrite the expression 5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.
The distributive property states that a(b+c) = ab + ac
Applying this property to the given expression, we have:
[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]
Now, we can simplify the expression by performing the multiplication:
[tex]\[ 5x \times 12 = 60x \][/tex]
[tex]\[ 5x \times 7 = 35x \][/tex]
Combining these results, we get the final simplified expression:
[tex]\[ 60x + 35x = 95x \][/tex]
Therefore, the expression 5x(12+7) simplifies to 95x when the distributive property is applied and the multiplication is carried out.
What percent of 45 is 9?
solve 2x-1/y =w+2/2z for x hurry please
Answer: D. w = 4xz - 2z/y - 2.
Step-by-step explanation: 2x - 1/y = w + 2/2z 2z (2x - 1) = y (w+2) 4xz - 2z/y = w +2 w = 4xz - 2z/y - 2
Compute the series 1 2/3 4/9 8/27 16/81
Which type of transformation does NOT result in a figure that is congruent to the original one?
Answer:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
Step-by-step explanation:
Solve the system and explain what the results mean according to your scenario.
2x + y = 9
3x + 4y = 26
...?
how do you solve ky-bf=fy/m?
Final answer:
To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.
Explanation:
To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:
Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.
Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.
Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.
So, the solution is y = (fy/m + kf)/k.
30 : 48 as a ratio in simplest form
The tables shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table?
Let
[tex] A(1,61) B(2,125) C(3,177) D(4,242) [/tex]
Using a graph tool
see the attached figure N 1
therefore
the answer is the option A
see the attached figure N 2
The correct answer is:
Graph A.
Explanation:
We can eliminate the last two graphs as they decrease; the numbers in this table continually increase.
To determine if it is graph A or graph B, we look at the spacing between the points. In the first graph, there is a steep jump between the first two points. The next two points increase more slowly, and there is another jump between the last two.
In the second graph, there is a slight increase between each pair of points. This does not match the data in the table; the first two points increase from 61 to 125, whereas the next two points go from 125 to 177, which is a smaller increase. This means the correct graph is graph A.
Find the unit rate. Round to the nearest tenth. 344 miles in 11 hours
i try and try i still don't get it please anybody could help me please =(
(6.6x10^4)(7x10^3 sientific notation
simplify 10-x^2-3x/x^2+2x-8
identify any x-values for which the expression is undefined.
What is the pattern for 43 36 29 22?
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?
How do you say happy in spanish?
Answer:
There are a few ways of saying happy in Spanish such as:
-Feliz
-Alegre
-Contento
Any of the three opcións are help
write 14/5 as a mixed number in simplest terms.
Answer: 2 and 4/5
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4
Therefore, 14/5 can be written as the mixed number 2 and 4/5.
Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.
Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?
a.
No, Common Bank will save Sharon more money.
b.
Yes, First State Bank will save Sharon money.
c.
No, First State Bank and Common Bank would have the same costs for Sharon.
d.
No, costs cannot be estimated in advance, so this information cannot be used.
Answer:
(a)
Step-by-step explanation:
Two banks: First state bank and common bank are compared in the table based on the prices of both the banks.
After observing, we come to the conclusion that holding a first state bank will charge a monthly fee of $4 whereas in common bank there is no monthly fee.
Secondly, non sufficient bonds are cheaper in common bank as compared to first state bank.
Also, 2nd back statement is charged as $7 and $ 3 for each transaction under first state bank and common bank respectively.
Hence common bank is cheaper. Therefore,(a) common bank will save Sharon more money.
Answer:
Sharon is comparing two banks - First state bank and Common bank
The table below is comparing both the banks.
We can see that the first state bank has a monthly fee of $4 while there is no such charge in common bank. The second thing is non sufficient funds which is less in common bank. Thirdly, the 2nd copy charges of the common bank is cheaper(though this is not needed by Sharon).The ATM usage charges of common bank is also cheaper.
Comparing everything we can say that option A is the answer.
What is the value of the x-coordinate of the vertex of the function shown below?
f(x)=(x+4)(x-2)
...?
Divide 9 by z expression
Which function below has the largest slope?
f(x)
x f(x)
2 4
4 12
6 20
g(x)
g(x)=10x - 4
h(x)
Lance gains 1 level each time he plays his favorite video game. He started at level 10.
f(x)
g(x)
h(x)
The functions all have the same slope
What are composite numbers in 50?
Jane has 6 more than half the number pairs of shoes that merie has write an expression for this
The perimeter of a rectangular garden is 368 feet. If the width of the garden is 86 feet, what is its length?
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?
z = (x - 500) / 100
1.75 = (x - 500) / 100
175 = x - 500
675 = x
Answer:
A, 675
Step-by-step explanation:
If Line JK is perpendicular to Line LM, which of the following statements are true?
A. JK and LM are coplanar and do not intersect.
B. JK and LM meet at a straight angle.
C. JK and LM meet at a right angle.
D. JK and LM are not in the same plane.
Answer:
(C)
Step-by-step explanation:
It is given that JK is perpendicular to LM, since JK and LM both are lines which lie in the same plane, therefore JK and LM are coplanar.
Since JK is perpendicular to LM, then JK and LM will intersect.
Thus, option A is not correct.
And, as JK is perpendicular to LM, then they will meet each other at a right angle as perpendicular lines make a right angle with each other.
Thus, Option C is correct.
Solve for x.
x/36= 16/24
16
24
36
54
How does the division rule for exponents help in understanding why anything to the zero power is 1?
The division rule for exponents demonstrates that when a number is raised to the zero power, it equates to 1 since the subtraction of equal exponents (as in division) yields an exponent of zero, and any number with zero instances in a multiplication chain results in the multiplicative identity, which is 1.
The division rule for exponents is integral to understanding why anything raised to the zero power is 1. The division rule for exponents states that if you divide two expressions with the same base, you can subtract the exponents.
For example, consider [tex]3^4[/tex] divided by [tex]3^4[/tex], which simplifies to [tex]3^{4-4} = 3^0[/tex]. According to the rule, when we have the same base with exponents subtracted during division, we subtract the exponents. This results in an exponent of zero for the base. Since [tex]3^4[/tex] divided by [tex]3^4[/tex] is equal to 1, and we expressed that as [tex]3^0[/tex], it logically follows that any non-zero number raised to zero power equals 1.
To further clarify, anything to the zero power signifies zero instances of the number in a multiplication chain and the implicit factor of 1 is all that remains, meaning that you're left with 1 as the result. This understanding is consistent with the properties of exponents across different types of numbers, be they integers, fractions, or irrational numbers.
Find the GCF of the following literal terms.
m^7n^4p^3 and mn^12p^5