Answer:
c. x=6
Step-by-step explanation:
Solve Ax+By=C for x. Provide below
Answer:
x = [tex]\frac{C-By}{A}[/tex]
Step-by-step explanation:
Given
Ax + By = C ( isolate the term in x by subtracting By from both sides )
Ax = C - By ( divide both sides by A )
x = [tex]\frac{C-By}{A}[/tex]
Answer:
Step-by-step explanation:
Solve Ax+By=C for x.:
Ax= - By+C
case 1 : A≠0 x = (- B/A)y+C/A
case 2 : A=0
you have : 0x = - By+C
B=0 : ox = C C = 0 infinity of x C≠0 no solutions
Which pair of expressions is equivalent?
A 7(1–k)and7–k
B 7(1–k)and1–7k
C 7(1–k)and7–k
D 7(1–k)and7–7k
Answer:
D
Step-by-step explanation:
7(1–k)
= 1(7) -k(7) -------------> distributive property
= 7–7k
which linear equation represents a line with a slope of -3/4 and a y-intercept of 6?
[tex]\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y=-\cfrac{3}{4}x+6[/tex]
8 litres of paint can cover 129.6 m².
How much paint is required to paint an area of 243m²?
Answer:
15 litres
Step-by-step explanation:
129.6 m² needs 8L
1m² needs 8/129.6L
243m² needs (8/129.6)×243 = 15L
To calculate the amount of paint required for a 243m² area, determine the coverage rate from the given data (16.2 m² per litre) and then divide the desired area by the coverage rate. We find that 15 litres of paint are necessary to cover 243m².
Explanation:To find out how much paint is required to paint an area of 243m² when 8 litres of paint can cover 129.6 m², we need to calculate the paint coverage ratio and then apply it to the desired area.
First, we calculate the coverage rate of the paint:
Paint coverage rate = Area covered / Amount of paintPaint coverage rate = 129.6 m² / 8 litresPaint coverage rate = 16.2 m² per litreNext, we use this rate to determine the amount of paint needed for 243m²:
Required paint = Desired area / Paint coverage rateRequired paint = 243 m² / 16.2 m² per litreRequired paint = 15 litresTherefore, 15 litres of paint are required to paint an area of 243m².
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Full Year - Williams
How many square inches are in 60 square feet?
5 square inches
72 square inches
720 square inche
8.640 square inches
Answer:
8,640 ft^2
Step-by-step explanation:
There are 144 square inches per square foot, therefore 144x60=8,640 ft^2
15 3/14+ 24 1/14+ 12 2/7+ 12 2/7+ 10 1/7 +10 1/7+ 35 3/7=
Answer:
it is :119.5714
Step-by-step explanation:
15 3/14+24 1/14+12 2/7+12 2/7+10 1/7+10 1/7+35 3/7=
step by step now:
15 3/14+24 1/14+12 4/14+12 4/14+10 2/14+10 2/14+35 6/14=118 22/14=118+1.5714=119.5714
Final answer:
The sum of the given mixed numbers is 119 and 2/7 after adding the whole numbers separately and then the fractions.
Explanation:
To calculate the sum of the given numbers, we start by adding the whole numbers and the fractions separately. All the fractions have a common denominator, which simplifies the process. Let's proceed with the calculation:
Adding the whole numbers: 15 + 24 + 12 + 12 + 10 + 10 + 35 = 118.
Adding the fractions: 3/14 + 1/14 = 4/14, simplifies to 2/7 because 4/14 is dividable by 2. Then, we add 2/7 + 2/7 + 1/7 + 1/7 + 3/7 = 9/7. But 9/7 is more than 1, so we rewrite 9/7 as 1 whole and 2/7.
Now let's combine the sums of whole numbers and fractions: 118 + 1 = 119.
Thus, the total sum is 119 and 2/7.
Find all complex solutions of X^2-5X -5= 0
ANSWER
[tex]x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2} [/tex]
EXPLANATION
The given equation is
[tex] {x}^{2} - 5x - 5 = 0[/tex]
The solution is given by the formula
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
where a=1, b=-5, c=-5
We substitute into the formula to get;
[tex]x = \frac{ - - 5 \pm \sqrt{ {( - 5)}^{2} - 4(1)( - 5)} }{2(1)} [/tex]
We simplify to get,
[tex]x = \frac{ 5 \pm \sqrt{ 45} }{2} [/tex]
The solutions are:
[tex]x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2} [/tex]
The equation has no complex roots.
Answer:
x = [5 + 3√5]/2 or x = [5 -3√5]/2
Step-by-step explanation:
Points to remember
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
To find the solutions of given equation
It is given x² - 5x - 5 = 0
here a = 1, b = -5 and c = -5
x = [-b ± √(b² - 4ac)]/2a
= [--5 ± √((-5)² - 4*1*-5)]/2*1
= [5 ± √(25 + 20)]/2
= [5 ± √(45)]/2
= [5 ± 3√5]/2
x = [5 + 3√5]/2 or x = [5 -3√5]/2
What is 317.93371 rounded to the nearest hundred?
Answer: 317.93
Step-by-step explanation:
317.93371 when rounded off to nearest hundred, we get 317.93.
What is rounding off a decimal number ?Rounding off is the method by which a decimal integer is reduced to its nearest closer value of the next number . After the decimal point, if the value is greater than 5 we increment the numerical value by 1 and if the value is less than 5 we keep the numerical value intact.
How to round off the given decimal value ?The given value is 317.93371 .
Rounding off to nearest hundred means that we will get the rounded off value up to two decimal places.
We can see that the third decimal place is 3 which means that the second decimal place of the number will be kept intact.
Rounded off value is - 317.93 .
Thus, 317.93371 when rounded off to nearest hundred, we get 317.93.
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5 days 6 hours 20 minutes
- 3 days 8 hours 40 minutes
Answer: 1 day, 21 hours, and 40 minutes
Step-by-step explanation: To make it less confusing, you can convert all of the days into hours (24 hours in a day)...
126 hours and 20 minutes-80 hours and 40 minutes
7580 minutes-4840 minutes=2740 minutes
We can convert 2740 minutes back into hours and days now...
1 day, 21 hours, and 40 minutes
Or....
Step-by-step explanation: Or you can just subtract, start with minutes and go up from there...
20-40 would be in the negatives and time can’t be negative, so you need to borrow from the hours. So hours is now at 5 and minutes is at 20+40 which is 80. And 80-40=40
We now have...
5 days, 5 hours, and 40 minutes-3 days and 8 hours.
Now we can do the hours...
5-8 also is negative, so we need to borrow from the days. Days is now at 4. There are 24 hours in a day so 24+5=29. Now we can subtract 29-8=21
Now we have 4 days, 21 hours, and 40 minutes
And 4-3 is 1, which means we have 1 day,
21 hours, and 40 minutes as our answer!
The difference between the given time frames 5 days 6 hours 20 minutes and 3 days 8 hours 40 minutes after performing the subtraction operation is 1 day, 13 hours, and 40 minutes.
Explanation:The question is about an arithmetic operation involved in time. This arithmetic operation is subtraction. Given the time frames are 5 days 6 hours 20 minutes and 3 days 8 hours 40 minutes. Let's subtract the smaller time frame from the larger one.
First, convert all time periods into the smallest common unit (here, minutes). 5 days 6 hours 20 minutes equals to 7260 minutes and 3 days 8 hours 40 minutes equals to 5040 minutes.Next, subtract the two: 7260 - 5040 = 2220 minutes.Then, convert this result back into days, hours, and minutes to get the difference. So, 2220 minutes is equal to 1 day, 13 hours, and 40 minutes.So, the difference between 5 days 6 hours 20 minutes and 3 days 8 hours 40 minutes is 1 day, 13 hours, and 40 minutes.
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Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution? The equation has one solution: x = 0. The equation has one solution: x = 1. The equation has no solution. The equation has infinite solutions.
Answer: infinite solutions
Step-by-step explanation:
If the left side equals the right side, then every value you input for the variable will make a TRUE statement --> which means there are infinite solutions.
For example: x + 1 = x + 1
Any value you choose for "x" will result in a true statement.
This is because they are the same line, which is another way of showing that they have infinite solutions.
The linear equation is an identity, which means that it has infinite solutions.
What is an identity?
We define an identity as an equation where we have the exact same expression in both sides of the equation.
For example, in:
f(x) = f(x).
Where f(x) is a function.
A easier example can be:
x + 5 = x + 5
Notice that we have the exact same thing in both sides, this is what Jilana gets when solving her linear equation.
This means that for any given value of x, the equation will be true. So, x can be any real value, which means that there are infinite solutions for the equation.
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Which systems of equations will also have a solution of (2,0)
Final answer:
A system of equations will have the solution (2,0) if, when substituting x=2 and y=0, both equations are satisfied. This can be a linear equation where the y-intercept is set to be the negative double of the slope, or a conic section represented by a quadratic equation that intersects the x-axis at x=2.
Explanation:
Systems of equations that will have a solution of (2,0) must satisfy the condition that when x=2 and y=0, both equations are true. Considering the information provided about quadratic and differential equations, to find a system with the solution (2,0), one can set up a system of any two equations and test if the point (2,0) satisfies them. For instance, any linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept, will have a solution of (2,0) if b is set to -2m. Similarly, a second-order differential equation can be constructed with known solutions, including the point (2,0).
A system with a linear equation y = mx - 2m, where m can be any value.
A homogeneous linear differential equation with boundary conditions that result in the point (2,0) being a solution.
A conic section represented by a quadratic equation that intersects the x-axis at x=2.
For example, the quadratic equation ax² +2hxy+by² = 0, can be factored into two linear factors with no constant term, which means it represents two lines intersecting at the origin. If one of these lines passes through the point (2,0), it would confirm that our solution fits this system as well.
Find the value of this expression if x = -9.
Answer:
-15
Step-by-step explanation:
Note that it says x = -9. Plug in -9 for all x inside the expression and solve.
(x² + 9)/(x + 3) = (-9² + 9)/(-9 + 3)
Solve. First, solve the parenthesis, then divide:
(-9² + 9) = (81 + 9) = 90
(-9 + 3) = (3 - 9) = -6
Divide:
(90)/(-6) = -15
-15 is your answer.
~
Write the prime factorization of 108x^2y^5
108
/ \
12 9
/ \ / \
4 3 3 3
/ \
2 2
2y 5
/ \ / \
2 y 1 5
<Hope this helps!>
Step-by-step explanation:
all work is pictured and shown
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
below...
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
A)3
B)4
C)5
D)6
Answer:
The correct option is C.
Step-by-step explanation:
In a right triangle, the hypotenuse has endpoints XY as shown in the given graph.
Since XY is hypotenuse and Z is third vertex in the triangle, therefore XZ and YZ must be perpendicular at point Z.
The coordinates of X are (-4,2), so draw a vertical line x=-4 and a horizontal line y=2.
The coordinates of Y are (-1,-3), so draw a vertical line x=-1 and a horizontal line y=-3.
From the below figure it is clear that the vertcal and horizontal lines intersect each other at [tex]Z_1[/tex] and [tex]Z_2[/tex].
It is given that Z is located in the second quadrant with integer coordinates, therefore the only possible location of Z is
[tex]Z=Z_2(-1,2)[/tex]
Since the length of YZ₂ is 5 units and Z=Z₂, therefore the length of YZ is 5 units.
Hence the correct option is C.
A horizontal line passes through the point (5, -1). Which point is also on this line?
(0,0)
(-1,5)
(5, 4)
(-2,-1)
Step-by-step answer with explanations:
Recall that a coordinate pair such as (5,-1) has two components.
The first (5, -1) means that the point is situated at x=5.
The second (5, -1) means that the point is situated at y=-1.
Now, a horizontal line through (5,-1) means that ALL points on the line have y-coordinate equal to -1, so that any point with y=-1 will lie on this horizontal line. An example would be (-2,-1).
A vertical line through (5, -1) means that ALL points on the line have x-coordinate equal to 5, so that any point with x=5 will lie on this vertical line. An example would be (5,4).
Answer:
its D
Step-by-step explanation:
ur welcome =)
A and B are independent events. P(A) =0.30 P(B) = 0.60
What is P(A|B)?
Answer:
P(A|B) = 0.30
Step-by-step explanation:
P(A) = 0.30
P(B) = 0.60
To Find:
P(A|B) = ?
P(A|B) means probability of occurring of event A when event B has occurred.
P(A|B) = P(A∩B)/P(B)
We know that for independent events;
P(A∩B) = P(A).P(B)
So, we have:
P(A|B) = P(A).P(B)/P(B)
P(A|B) = P(A)
So, probability of occurrence of an independent event does not depend on the probability of a different event.
The diameter of the moon is 2160 miles. A model has a scale of 1 in : 159 mi
Answer:
14.4 in
Step-by-step explanation:
2160/ 150= 14.4
Roberta is on a hiking trip. On the first day, she starts hiking at an elevation of 223.3 feet. By the end of the first day, her elevation increases by 276.8 feet. On the second day, her elevation decreases by 59.2 feet. On the third day, her elevation decreases by 76.3 feet. What is Roberta's elevation at the end of the third day?
Answer:364.6
Step-by-step explanation:
If the cost is $58 and the selling price is $63 then what is the percent of increase
For this case we can raise a rule of three:
$ 58 ----------> 100%
$ 63 ----------> x
Where "x" represents the percentage equivalent to $ 63.
[tex]x = \frac {63 * 100} {58}\\x = \frac {6300} {58}\\x = 108.62[/tex]
Thus, the percentage increase is 8.62%
Answer:
The percentage of increase is 8.62%
In a young single person's monthly budget, $150 is spent on food, $175 is spent on housing, and $175 is spend on other items. Suppose you drew a circle graph to represent this information, what percent of the graph represents housing?
To find the percentage of the monthly budget that housing represents in a circle graph, divide the housing cost ($175) by the total monthly expenses ($500) and multiply by 100. This calculation shows that housing accounts for 35% of the monthly budget.
Explanation:When representing a monthly budget on a circle graph, or pie chart, you need to find out what percentage of the total budget each category represents. In this case, a young single person spends $150 on food, $175 on housing, and $175 on other items. To find the percentage that represents housing, we first need to calculate the total amount of monthly expenses which are $150 for food, $175 for housing, and $175 for other items, adding up to a total of $500.
Next, we calculate the percentage that the housing expense represents by dividing the housing cost by the total expenses and then multiplying by 100 to get a percentage:
Housing Percentage = (Housing Cost / Total Expenses) x 100Housing Percentage = ($175 / $500) x 100Housing Percentage = 0.35 x 100Housing Percentage = 35%Therefore, housing represents 35% of the total monthly budget on the circle graph.
ali’s latest photo got 42 likes.this is 3 times as many likes as kate’s lasted photo.how many likes did kate’s photo get?select method below,using x to represent kate’s likes
Answer:
Kate’s photo get 14 likes
Step-by-step explanation:
Let
x ----> Kate's likes
y ---> Ali's likes
we know that
y=42 likes ----> equation A
y=3x ----> equation B
Solve by substitution
Substitute equation A in equation B and solve for x
42=3x
Divide by 3 both sides
x=42/3
x=14 likes
Kate's photo got 14 likes.
The student is dealing with a basic algebra problem that involves setting up and solving an equation. To find out how many likes Kate's photo got, we can let x represent the number of likes on Kate's photo. Given that Ali's photo got 42 likes, which is three times as many as Kate's photo, we can write the equation as:
3x = 42
To find x, we divide both sides of the equation by 3:
x = 42 / 3
x = 14
Therefore, Kate's photo got 14 likes.
A representative from plan 1 wants to use the graph below to sell health plans for his company. How might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans? The scale on the y-axis could be changed to 0–100. The scale on the y-axis could be changed to 25–40. The interval of the y-axis could be changed to count by 5s. The interval of the y-axis could be changed to count by 20s.
Answer:
B) The scale on the y-axis could be changed to 25–40.
Answer:
B the scale on the y-axis could be changed from 25-40
Step-by-step explanation:
just took test on edg and got a 100
Consider two unique parallel lines. What aspects of
these two lines are the same? What aspects of these two
lines would have to be different? Explain your reasoning.
Answer:
Both the lines would have the same slope since they are parallel. The lines would not however have the same y-intercept.
Step-by-step explanation:
This is because in order for lines to be parallel the lines must have the same slope, otherwise they would meet at some point. They would not have the same y-intercept because if both the y-intercept and the slope were the same it would be the same line.
Answer:
Both lines are parallel, so they have the same slope. However, the y-intercepts of the lines are not the same. For the lines to be parallel, the slopes of the lines must be the same. If both the y-intercept and slope are the same, they are the same line, so they do not have the same y-intercept.
Lines m and n are perpendicular. If the slope of m is zero, then the slope of n is
zero
undefined
negative
Answer:
Undefined
Step-by-step explanation:
You can deduce the solution in two ways: if the slope of m is zero, it is horizontal. So, n is vertical because it must be perpendicular to n. Vertical lines have undefined slope.
Alternatively, if the slope of line m is k, the slope of a perpendicular line n is -1/k. So, if k=0, you can't compute -1/0.
The relation represents a function:
{(-3, 2), (1, 3), (5, -1), (1, 2)}
True
False
False.
This is not a function because for something to be a function each x value can only have one y value. In this case two of the points have a value of 1 and their y are different, making them NOT a function
(1, 3)
(1, 2)
Hope this helped!
~Just a girl in love with Shawn Mendes
the correct sequence to find the inverse of y=3x/8+x
Answer:
You MUST use parentheses around denominator 8+x, or ANY denominator that consist of more than a single number of variable.
Also, don't use lower case and upper case interchangeably.
In algebra, x and X are different, as are y and Y.
f(x) = y = 3x/(8+x)
Switch x and y, solve for y:
x = 3y/(8+y)
x(8+y) = 3y
8x+xy = 3y
8x = 3y−xy
8x = y(3−x)
y = f⁻¹(x) = 8x/(3−x)
I hope this helps, love
Step-by-step explanation:
How many kilograms are in 32,500 grams?
Hello There!
There are 32.5 kilograms in 32,500 grams.
STEPS
Write the number of grams
Divide by 1,000 because a kilogram is 1,000 grams
The graph of the parabola y=-2(x-3)^2+4 has a vertex of (3, 4). If this parabola is shifted 5units to the left and 3 units down, what is the equation of the new parabola?
Answer:
D y= -2 (x-8)2 -3
Step-by-step explanation:
The equation of the new parabola will be y = -2(x + 2)² + 1. Then the correct option is A.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given below.
y = -2(x - 3)² + 4
If this parabola is shifted 5 units to the left and 3 units down. Then replace x with x + 5 and subtract 3 from the equation.
Then the equation of the new parabola will be given as,
y = -2(x + 5 - 3)² + 4 - 3
y = -2(x + 2)² + 1
The condition of the new parabola will be y = - 2(x + 2)² + 1. Then, at that point, the right choice is A.
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i need qestion number d) solution please help me
Answer:
It is an identity, the proof is in the explanation
Step-by-step explanation:
csc(A)-cot(A)=tan(A/2)
I'm going to start with right hand side
tan(A/2)=(1-cos(a))/(sin(a)) half angle identity
tan(A/2)=1/sin(a)-cos(a)/sin(a) separate fraction
tan(A/2)=csc(a)-cot(a) reciprocal and quotient identities
Evaluate the expression e^ln^ 12.
Answer:
[tex]e^{ln(12)}=12[/tex]
Step-by-step explanation:
I suppose your intended expression is;
[tex]e^{ln(12)}[/tex]
The exponential function, e, and the natural logarithm function, ln, are inverses of each other;
[tex]e^{lnx}=x\\\\lne^{x}=x[/tex]
Therefore, our expression becomes;
[tex]e^{ln(12)}=12[/tex]