Answer:
The graph attached
y ≤ 6 - x
x ≤ 4
Step-by-step explanation:
∵ x + y ≤ 6
∴ y ≤ 6 - x
* Lets draw the line y = 6 - x
* Assume that:
· x = -1 ⇒ y = 7 ⇒ (-1 , 7)
· x = 0 ⇒ y = 6 ⇒ (0 , 6)
· x = 1 ⇒ y = 5 ⇒ (1 , 5)
· x = 2 ⇒ y = 4 ⇒ (2 , 4)
* Plot the points on the graph and make the line sold ( ≤ )
* Shade all the region under the line
∵ x ≤ 4
* Lets draw the line x = 4
* All the points on this line have x-coordinate = 4 (vertical line)
* Draw a vertical line on x = 4 the line is sold (≤)
* Shade all the region left to the line
* The solutions of this system of equations will be on the
common shaded
parts of the two lines (red and blue together)
The amount of time t (in hours) that it takes to fill a swimming pool varies inversely with the pumping rate r(in kiloliters per hour). The constant of variation is 4. Find how long it will take to fill the pool when the pumping rate is 3.2 kL/hr
A.) 12.8 hrs
B.) 1.25 hrs - APEX
C.) 7.2 hrs
D.) 0.8 hrs
the answer to the problem is c
The answer is actually B) 1.25
determine if the given point is a solution of the given system of linear equations y=3× + 6 y= -2× + 9 (3,3)
Answer:
The point (3, 3) is not a solution of the first equation, therefore is not a solution of the given system of equations.
Step-by-step explanation:
[tex]y=3x+6\ and\ y=-2x+9[/tex]
[tex](3,\ 3)\to\text{put x = 3 and y = 3 to the equations of the functions}\\\text{and check the equality.}\\\\y=3x+6\\\\3=3(3)+6\\3=9+6\\3=15\qquad\text{FALSE!}[/tex]
To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true. If both equations are true, then the given point is a solution of the system of equations.
Explanation:To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true.
Substitute x = 3 and y = 3 into the first equation: 3 = 3(3) + 6. Substitute x = 3 and y = 3 into the second equation: 3 = -2(3) + 9. If both equations are true, then the given point (3,3) is a solution of the system of equations.
Let's perform the calculations:
3 = 3(3) + 6 simplifies to 3 = 9 + 6, which is false. 3 = -2(3) + 9 simplifies to 3 = -6 + 9, which is true.
Since only one of the equations is true, the given point (3,3) is not a solution of the system of equations.
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What are the real zeroes
You have to plug the values in the expression and see if it returns zero.
The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]
-4x is less than or equal to 32
Answer:
x ≤ -8
Step-by-step explanation:
-4x ≤ 32 => -4x ÷ -4 ≤ 32 ÷ -4 => x ≤ -8
Step-by-step explanation:
-4x≤32
Isolate the variable by dividing by -4 on both sides, to cancel out the coefficient of x
32÷-4=-8
x=-8
A home appliance salesperson wants to earn a total of 3,600 next month including his base salary and commissions. He earns a base salary of $800 per month and earns 20% commission for all sales in that month. What is the value of the merchandise that the salesperson must sell to reach his goal?
Answer:
He must sell $14000 of merchandise
Step-by-step explanation:
The salesperson earns a base salary of $800
This means that he must make
$3600 - $800 = $2800 worth of commisions
Let x, be the value of the mechandise that he needs to sell.
This means that
x*0.20 = $2800
x = $2800/0.20
x = $14000
He must sell $14000 of merchandise
How much water must be evaporated from 36 ounces of a 8% salt solution to make a 9% salt solution?
To obtain a solution that is 9% salt, how many ounces of water must be evaporated
(Simplify your answer.)
Answer:
4 oz of water must be evaporated
Step-by-step explanation:
If we let x represent the amount of water to be evaporated, the relation between the solutions is ...
0.08 · 36 oz = 0.09 · (36 -x) oz
0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36
x = 36· 0.01/0.09 = 36/9 = 4
4 ounces of water must be evaporated.
Answer:
Step-by-step explanation:
Help in this question please, please
Answer:
28 and a=lenth times width
Step-by-step
mutiply 7 time 4 and it is 28
Which equation represents the graph
Answer:
y= 3|x|+5
Step-by-step explanation:
Remember the graph for |x| is shown on the attached picture
Since the picture you show tell us that y=5 when x=0
we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point
we can use the equation for slopes using points 1 (0,5) and 2 (1,8)
thus we have that [tex]a=\frac{8-5}{1-0}=3[/tex]
So the answer is y= 3|x|+5
simplify (-5xsquared-3x-7)+(-2x to the 3rd +6x squared-8)
Answer:
[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x-8)=-2x^3-5x^2+3x-15}[/tex]
Step-by-step explanation:
[tex](-5x^2-3x-7)+(-2x^3+6x-8)\\\\=-5x^2-3x-7-2x^3+6x-8\qquad\text{combine like terms}\\\\=-2x^3-5x^2+(-3x+6x)+(-7-8)\\\\=-2x^3-5x^2+3x-15[/tex]
Which shows two expressions that are equivalent to (-8)(-12)(2)
(-8)(-12)(2) = -8 • -12 • 2
192 //It's positive because - - = +.
Answer: 192
//Hope it helps.
Answer with explanation:
Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.
We have to find that expression which is equivalent to:
(-8)×(-12)×(2)
Integers follows Associative Property, that is for any three Integers
→→ a × (b×c)=(a×b)×c=(a×c)×b
So, equivalent expression of →→ (-8)×(-12)×(2)
1.→ [(-8)× (-12)]× (2)
2.→[(-8)×(2)]×(-12)
3.→[(2)×(-12)]×(-8)
4.→ 192
Is the point (-10, -34 ) on the line y=3x-4 Show how you know
Answer:
yes
Step-by-step explanation:
Substitute x = - 10 into the equation and if the value obtained equals - 34 then the point satisfies the equation and lies on the line
x = - 10 : y = (3 × - 10) - 4 = - 30 - 4 = - 34 ← agrees
Hence (- 10, - 34) lies on the line y = 3x - 4
Do you know the answer ??
Answer: The answer is 6
13........................
Answer:
C.
Step-by-step explanation:
Answer:
Choice c is the answer.
Step-by-step explanation:
We have given a expression.
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]
We have to find the rationalized form of above expression.
Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5} } \frac{\sqrt{x}-\sqrt{5} }{\sqrt{x}-\sqrt{5} }[/tex]
[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]
[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]
[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.
what is the area of this parallelogram?
Answer:
30.6
Step-by-step explanation:
Area of Parallelogram = base x altitude
base = 6.8
altitude = 4.5
6.8 x 4.5 = 30.6
what is the constant of proportionality for the relationship between the length of the arc intercepted by 80 angle and the radius of the circle ?
Eight hundred thousands
Final answer:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
Explanation:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
This can be determined by using the formula for arc length: L = 2πr(A/360), where L is the length of the arc, r is the radius of the circle, and A is the angle in degrees. Since we know that A = 80 degrees, we can substitute the values into the formula to find the constant of proportionality.
L = 2πr(80/360) = (π/9)r
Which expression is equivalent to (256x16)1/4
Answer:
[tex]4x^{4}[/tex]
Step-by-step explanation:
Given in the question an expression,
[tex](256x^{16})^\frac{1}{4}[/tex]
As we know that,
[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]
so
[tex]\sqrt[4]{256x^{16} }[/tex]
it could also be written as
[tex]\sqrt{\sqrt{256x^{16} } }[/tex]
First to solve inner square root
[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]
[tex]\sqrt{16x^{8} }[/tex]
Second outer square root
[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]
Sean has 4 cookies. He wants to divide the cookies among his friends so that each friend gets of a cookie. How many friends can he give of a cookie?
The answer is 6
Trust me!
It's not four nor 8 is 6
The 4 cookies can be divided into 6 pairs of cookie pieces:
4 divided by 2/3 = 6
Which of the following best describes the equation below?
A. both a relation and a function
B. relation only
C. neither a relation nor a function
D. function only
Answer: OPTION A
Step-by-step explanation:
A relation is a function if for each value of x (input value) there is an unique value of y (output value).
For the equation given in the problem:
[tex]y=|x|+6[/tex]
There is an unique value of y for each value of x.
Therefore, the equation is a function and a function is also a relation.
Then, the answer is the option A
Answer:
A
Step-by-step explanation:
solve the equation
-84= 6(p-8)
Answer:
-6
Step-by-step explanation:
-84=6(p-8)
-84=6p-48
+48 +48
-36=6p
-36/6=6p/6
-6
Hope this helps
Please mark me as Brainliest
The price of gas was $1.80 in September then $2.07 in October. Find the percent change from September to October.
twenty seven percent.
The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.
To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.
The percent change can be calculated as follows:
Subtract the old price from the new price: $2.07 - $1.80 = $0.27.Divide the change by the original price: $0.27 / $1.80.Convert this number to a percentage by multiplying by 100, which gives us the percent change: ($0.27 / $1.80)Therefore, the percent change in the price of gasoline from September to October is 15%.
The graph shows the function f(x)=−12x+26 and g(x)=−(15)−x+2+3 .
What are the solutions of the equation −12x+26=−(15)−x+2+3 ?
Answer:
Step-by-step explanation:
-12x+x+26+15-2-3=0
-11x+36=0
-11x=-36
x=36/11
or x=3.2̅7̅
Jfhfnbxnzbxhdbd mathhhhhhhhhhh
Taylan should make 2 marks above the 3 1/4 in the line plot.
Will mark BRAINLIEST!!!!
I think it's d but not sure
What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoints Y(2, 2) and Z(5, 6)?
x equals six start fraction one over two end fraction
x = 6
x equals three start fraction one over two end fraction
x = 7
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{5-2} =\frac{4}{3}[/tex]
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3} = \frac{-4--2}{5-x}\\\\\frac{4}{3} =\frac{-2}{5-x}\\\\ (5-x)\frac{4}{3} = -2\\\\ 20 - 4x = -6\\\\-4x = -26 \\\\ x = 6 \frac{1}{2}[/tex]
One month jenny rented 3 movies and 5 video games for a total of $40. The next month she rented 12 movies and 2 video games for a total of $43. Find the rental cost for each movie and each video game.
movies is 2.59 and videos is 5.944
//Hope this helps
The correct answer is $6.50 for each video game and $2.50 for each movie. My work:
3 x 2.50 = $7.50 and 5 x 6.50 = $32.50
32.50 + 7.50 = $40.00
12 x 2.50 = $30.00 and 2 x 6.50 = $13.00
30.00 + 13.00 = $43.00
Hope this helps.
Does this table show a proportional relationship? If so, what is the constant of proportionality?
x| 3 6 9 12
-------------------------------
y| 12 24 45 60
Answer:
4
Step-by-step explanation:
You can divide all the x from the y like , 45/9 =4 so it equals four
Yes, the table does show a proportional relationship and the constant of proportionality is 4.
What is proportionality?If the corresponding elements of two sequences of numbers have a constant ratio,
Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
We know constant of proportionality is when we have the same multiplicative or division factor between two variables.
Given, when x = 3, y = 12, So y = 4x.
Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.
∴ The constant of proportionality is 4.
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What is the solution to the following system of equations?
Answer:
D. (2,1)
Step-by-step explanation:
Fill in the value for y from the first eq (6x-11) into the second:
-2x - 3(6x-11) = -7
Now simplify:
-2x -18x + 33 = -7
-20x = -7-33
20x = 40
x = 2
Now that we have x, plug it into the top eq to get y:
y = 6*2 - 11 = 1
Et voila, x=2 and y=1, so the solution is (2,1).
Answer:
X= 2 and Y=1
Step-by-step explanation:
✯Hello✯
↪ So you know what y is so you can substitute into -2x-3y=-7
↪ -20x+33=-7 (thats after you expand the brackets)
↪ -20x=40
↪ this means that x=2. Therefore if u substitute y=1 and its on the options
❤Gianna❤
Sarah Wood and her husband have agreed to purchase a house for $87,500.00. Washington Savings and Loan is willing to finance the purchase but requires a $5,000.00 down payment and closing costs of 3 percent of the amount of the mortgage loan. What are the total closing costs?
The mortgage loan amount is $82,500. The closing costs are 3 percent of the loan amount. Therefore, the total closing costs are $2,475.
Explanation:Sarah Wood and her husband are purchasing a house for $87,500.00, but they are making a down payment of $5,000.00. Therefore, the mortgage loan amount is $87,500 - $5,000 = $82,500. The closing cost for this mortgage loan is 3 percent of the loan amount. Thus, to calculate the total closing costs, we multiply the loan amount by 3%. Therefore, total closing costs are $82,500 * 0.03 = $2,475.00.
So, total closing costs are $2,475.00.
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The total closing costs are $2,475.00.
Explanation:To calculate the total closing costs, we need to find 3 percent of the mortgage loan amount.
First, calculate the mortgage loan amount by subtracting the down payment from the house price: $87,500.00 - $5,000.00 = $82,500.00.
Then, find 3 percent of $82,500.00 by multiplying it by -
0.03: $82,500.00 * 0.03
= $2,475.00.
So, the total closing costs are $2,475.00.
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Solve for x 5 - x/3 =-15
Answer: 60
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5−
x
3
=−15
5+
−1
3
x=−15
−1
3
x+5=−15
Step 2: Subtract 5 from both sides.
−1
3
x+5−5=−15−5
−1
3
x=−20
Step 3: Multiply both sides by 3/(-1).
(
3
−1
)*(
−1
3
x)=(
3
−1
)*(−20)
x=60
Answer:
hey buddy theres no 60 in any of the choices.
Step-by-step explanation:
me ayudan en esto? es de matemáticas año 1 de completen factors
Answer:
(3p-2)(2p+3).