Answer:
no of students by cost per student?
Answer:The cost of the if 0 students signed up
Step-by-step explanation:I got the answer right :)
The points (-3, 2) and (9,r) lie on a line with slope 1/2. Find the missing coordinate r.
Answer:
8 = r; (9, 8)
Explanation:
-y₁ + y₂\-x₁ + x₂ = m
-2 + r\3 + 9 = ?\12
-2 + r = 6
+2 + 2
__________
r = 8
The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the rate of change [slope] of ½, so there you have it.
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Final answer:
To solve for the missing coordinate r on the line with a slope of 1/2, we set up the equation based on the slope formula, which results in r = 8.
Explanation:
To find the missing coordinate r for the point (9,r) that lies on a line with slope 1/2, we can use the formula for the slope of a line between two points, which is (y2 - y1)/(x2 - x1). Here, we have one point (-3, 2) and another point (9, r). We plug these into the formula, setting the slope equal to 1/2, and solve for r:
m = (r - 2)/(9 - (-3)) = (r - 2)/12
Since the slope m is given as 1/2, we can set up the equation:
1/2 = (r - 2)/12
Cross-multiplying gives us:
12 * (1/2) = r - 2
6 = r - 2
Adding 2 to both sides:
r = 8
Therefore, the missing coordinate is r = 8.
6x + 5y = 147
8x + 4y = 156
Answer:
[12, 15]
Step-by-step explanation:
{6x + 5y = 147
{8x + 4y = 156
-¾[8x + 4y = 156]
{6x + 5y = 147
{-6x - 3y = -117 ← New Equation
________________
2y = 30
___ ___
2 2
y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x
So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.
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3. Five less than a product of 3 and a number is 40.
Write in an equation with those numbers and x
How are the graphs
of f(x) = x2 and g(x) = -(x + 2)2 - 4
related?
g(x) is f(x) shifted 4 units down and 2 units to the left and flipped over the x-axis.
a football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the team's change in the field position after the 3 plays
You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.
Solve 12x + 6 ≥ 9x + 12. A. x ≥ 2 B. x ≥ 6 C. x ≤ 6 D. x ≤ 2
Answer:
A
Step-by-step explanation:
12x + 6 ≥ 9x + 12
12x-9x ≥ 12-6
3x ≥ 6
x ≥ 2
Answer:
A. x ≥ 2
Step-by-step explanation:
test approved
If y is a positive integer, for how many different values of y is sqrt ^ 3 144 / y a whole number?
Answer: second option.
Step-by-step explanation:
We need the remember that:
[tex]\sqrt[n]{a^n}=a[/tex]
Therefore, the radicand (In this case [tex]\frac{144}{x}[/tex]) must be a perfect cube in order to get a whole number.
Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.
Now, we need to descompose 144 into its prime factors:
[tex]144=2*2*2*2*3*3=2^4*3^2[/tex]
Then, the factors of 144 are: [tex]1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144[/tex]
Substitute values into [tex]\frac{144}{x}[/tex] to check:
[tex]\frac{144}{1}=144[/tex]
[tex]\frac{144}{2}=72[/tex]
[tex]\frac{144}{3}=48[/tex]
[tex]\frac{144}{4}=36[/tex]
[tex]\frac{144}{6}=24[/tex]
[tex]\frac{144}{8}=18[/tex]
[tex]\frac{144}{9}=16[/tex]
[tex]\frac{144}{12}=12[/tex]
[tex]\frac{144}{16}=9[/tex]
[tex]\frac{144}{18}=8[/tex] (Perfect cube: [tex]8=2^3[/tex])
[tex]\frac{144}{24}=6[/tex]
[tex]\frac{144}{36}=4[/tex]
[tex]\frac{144}{48}=3[/tex]
[tex]\frac{144}{72}=2[/tex]
[tex]\frac{144}{144}=1[/tex] (Perfect cube: [tex]1=1^3[/tex])
Therefore, for 2 different values of "y" ([tex]y=18[/tex] and [tex]y=144[/tex]) [tex]\sqrt[3]{\frac{144}{y} }[/tex] is a whole number.
Answer:
B) 2
Step-by-step explanation:
Edge 2020
2 Points
What is the slope of the line that contains the points (-2,2) and (3,4)?
Answer:
⅖
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
-2 + 4\2 + 3 = ⅖
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Please help me!! I'm not very good with math.
Answer:
SteEarth's surface covered by water is 352,000,000 + 9 x 10^6 = 352,000,000 + 9,000,000 = 361,000,000 = 3.61 x 10^8p-by-step explanation:
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a. 57x+57=-75x-7557x+57=−75x−75
b. -75x+57=-75x+57−75x+57=−75x+57
c. 75x+57=-75x+5775x+57=−75x+5
d. −57x+57=−75x+75
Answer:
b. -75x+57=-75x+57
Step-by-step explanation:
If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,
In option a.
57x+57=-75x-75
57x + 75x = -75 - 57
132x = -132
⇒ x = -1
i.e. it has only one solution,
In option b.
-75x+57=-75x+57
-75x + 75x = 57 - 57
0 = 0 ( True )
i.e. it has infinitely many solution.
In option c.
75x+57=-75x+57
75x + 75x = 57 - 57
150x = 0
⇒ x = 0
i.e. it has only one solution,
In option d.
-57x+57=-75x+75
-57x + 75x = 75 - 57
18x = 18
⇒ x = 1
i.e. it has only one solution.
Answer:
I don’t know if this is different or whatever but I got C
Step-by-step explanation:
Sorry if it’s wrong!
edit it is actually in a different order so make sure to check!
The function f(x) = StartRoot negative x EndRoot is represented by the graph. Which statement is correct?
The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.
Answer:
D. The range of the function is all real numbers greater than or equal to 0.
Step-by-step explanation:
The graph of the function [tex]y=\sqrt{-x}[/tex] is shown in attached diagram.
1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is
[tex]x\in (-\infty,0][/tex]
2. The range of the function is the set of all possible values for output (for y), so the range of this function is
[tex]y\in [0,\infty)[/tex]
As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.
Answer:
D on Edge 2021
Step-by-step explanation:
Which expressions are equivalent to 3x + 2(x − 1) − 4?
Answer:
5- x 6
Step-by-step explanation:
give. b(x) = |x + 4| what is b(-10)
Answer:
6
Step-by-step explanation:
b(x) = |x + 4|
b(-10) = |-10 + 4|
-10 + 4 = -6
|-6| = 6
b(-10) = 6
Hey!
----------------------------
Solution:
b(x) = |x + 4|
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = |6|
----------------------------
When you see two lines next to a number, it mean the absolute value of that number. So if you have |-5| the absolute value is |5|.
----------------------------
Answer:
6
----------------------------
Hope This Helped! Good Luck!
What is the slope of the joining ( 8,1 ) and (24,9)
Answer:
[tex]\large\boxed{slope=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (8, 1) and (24, 9).
Substitute:
[tex]m=\dfrac{9-1}{24-8}=\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}[/tex]
Answer is provided in the image attached.
write 6X10X10X10X10 with an exponent.
Answer:
6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Step-by-step explanation:
The exponent of any number shows that how many times that number can be used in multiplication. It is the power raised to any number which show the number of times that number is raised by.
6 × 10 × 10 ×10 × 10
Here 10 is multiplied 4 times, therefore the exponent of 10 is 4.
∴ 6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]
Final answer:
The expression 6X10X10X10X10 written with an exponent is 6x10⁴, indicating that 10 is multiplied by itself four times and then multiplied by 6.
Explanation:
To write 6X10X10X10X10 with an exponent, we identify the repeated multiplication of 10s. Since there are four 10s multiplied together, we use the exponent 4 to represent this, and the expression becomes 6x10⁴. This is because when you have repeated multiplication of the same number, you can express that number raised to the power of how many times it is multiplied by itself.
If f(x) = 6x + 7, find the value of f (m).
Answer:
f(m) = 6m +7
Step-by-step explanation:
Given that,
f(x) = 6x + 7
∴f(m) = 6m +7
just put m instead of x .
What percent of 200 is 0.5?
2. SALES TAX Olivia purchases a DVD movie priced
at $21.99. The sales tax is 6.5%. What is the total
price of the movie, including tax?
Answer:
$23.42
Step-by-step explanation:
To find the sales tax, you need to 6.5% of $21.99To do this you have to times need to turn 6.5% into a decimal, which is 0.065 (i moved decimal point 2 numbers to the left)then you do 0.065 × 21.99 which equals 1.42935now you have to add 21.99 with 1.42935 = 23.41935because of the context of the question, you need the answer needs to be rounded up to the nearest hundredth. making the answer $23.42 total2.144×10^7÷3.2×10^4
144×10^7÷3.2×10^4 is 4500000000000.
Answer:
6.70×10^2
Step-by-step explanation:
Change the 2.144 to standard form to obtain
2144×(10^-3 ×10^7) and also change the 3.2 to 32 ×10^-1 × 10^4
= 32×10^3
2144 ×10^4/32×10^3. since the base are equal (base 10) take only one and subtract the exponent.(2nd law of indices)
2144/32 × 10^4-3
64.97 × 10^1
6.497×10^1 × 10^1
=6.497×10^2
Which of the following is not a long term debt?
Paying off your credit card each month
Taking out a 15 year fixed rate mortgage
Financing an automobile purchase with a 36 month loan
Financing your college education with a 30 year loan
Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset?
boat loan
car loan
mortgage
none of the above
Which of the following financing options has the least (future) obligation from the student?
scholarship
loan
work study
Which is something you should consider before taking a loan out for college?
interest rate
income potential
length of the loan
all of the above
Answer:
1. Paying off your credit card each month
2. Mortgage
3. ?
4. All of the above
I'm not sure about the 3rd question.
Final answer:
Paying off a credit card each month is not a long-term debt. A mortgage is most likely to add an appreciating asset to a financial portfolio. Considering interest rates, income potential, and loan length is critical before taking out a loan for college.
Explanation:
Which of the following is not a long term debt? Paying off your credit card each month is not considered a long-term debt. Long-term debts typically extend beyond one year and include options like a 15-year fixed-rate mortgage, a 36-month automobile loan, or a 30-year college education loan.
Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset? A mortgage is most likely to add an appreciating asset to your financial portfolio, unlike boats and cars, which generally depreciate over time.
Which of the following financing options has the least (future) obligation from the student? A scholarship has the least future obligation from a student as it typically does not require repayment, unlike loans or work-study programs that entail earning or repaying the funds.
Which is something you should consider before taking a loan out for college? Before taking out a loan for college, you should consider all of the above: the interest rate, income potential of your chosen field, and the length of the loan.
Mauna Loa, a volcanic mountain in Hawaii stands 4170m above sea level and extends to 13000 m below sea level what is the total height of Mauna Loa
The total height of Mauna Loa is -8,830 meters.
Explanation:The total height of Mauna Loa, a volcanic mountain in Hawaii, can be calculated by adding its height above sea level to its depth below sea level. The mountain stands at 4,170 meters above sea level and extends to a depth of 13,000 meters below sea level. To find the total height, we add these two values: 4,170m + (-13,000m) = -8,830 meters.
Find an area of a triangle with a base of 25 feet and height of 8 feet. What’s the formula for a triangle?
Answer:
100 feet squared: can u plz give me the brainliest answer!!!!!!!!! plz!!!!!!!!!!!
Step-by-step explanation:
Area of triangle: base x height divided by 2.
25 x 8 = 200
200/2 = 100
Have a nice day!!!!!!!!!! :-)
KA
Without dividing, select the number that is divisible by 3.
A). 1036
B). 1125
C). 1571
D). 2045
Answer:
The answer is B: 1125
Step-by-step explanation:
I divided it for you and it is the only answer that did not have a decimal.
5g+1/7tb=D solve for b
Answer:
Step-by-step explanation:
First, multiply 1/7 and to to equal tb/7. So now the equation would look like 5g +tb/7=d. Then subtract 5g from both sides. Then distribute the 7 tb=7d -35g. Divide each term by t and you get b=7d/t-35g/t.
please answer this question
Hey!
------------------------------------------------
Solution:
In Picture!
------------------------------------------------
Answer:
[tex]\large\boxed{-\frac{9}{10} }[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
A chessboard has an area of 324 square inches. There is a 1 - inch border around 64 squares on the board. What is the length of one side of the region containing a small squares?
The length of one side of the region containing the small squares is 64 inches.
Let x be the length of one side of the region containing the small squares.
The area of the small squares is 64 * 1 = 64 square inches.
The area of the border is (x + 2)^2 - x^2 = 4x + 4 square inches.
Since the area of the small squares and the border is equal to the area of the chessboard, we have:
64 + 4x + 4 = 324
68 + 4x = 324
4x = 256
x = 64
Therefore, the length of one side of the region containing the small squares is 64 inches.
Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,
and I J = 3x – 5, determine the numerical length of JK.
Answer:
JK=7
Step-by-step explanation:
From the line segment, since J is on it ,it means the line segment is
represented as I J K
from this illustration, we can say that the longest part of the line segment is from I to K
this means that, IJ +JK =IK
making JK the subject,
JK= IK - IJ
but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5
substituting them in the expression,
2x-1 =3x+2 -(3x-5)
solving for x
2x-1 =3x+2-3x+5
2x-1 =0+7
2x-1 =7
2x=1+7
2x=8
dividing through by 2
2x/2 =8/2
x=4
but the question says we should find the numerical value for JK
but from the line segment,
JK=2x-1
but now we know the value of x to be 2
so substituting it in the formula
JK= 2(4)-1
JK=8-1
JK=7
therefore, the numerical value for JK is 7
The length of JK is found by setting the sum of IJ and JK equal to IK and solving for x. When x=4 is substituted back into the expression for JK, the calculated length of JK is 7 units.
Explanation:To find the numerical length of JK, we can use the fact that IK is the entire line segment, which is the sum of IJ and JK. Therefore, we have the equation IK = IJ + JK. Substituting the given expressions, we get 3x + 2 = (3x - 5) + (2x - 1). Solving for x, we combine like terms and simplify the equation.
First, add the expressions for IJ and JK: (3x - 5) + (2x - 1) = 5x - 6.
Next, set the total length equal to the sum of parts: 3x + 2 = 5x - 6.
Now we solve for x: -2x = -8, leading to x = 4.
Finally, we substitute x back into the expression for JK to find its length: JK = 2(4) - 1 = 8 - 1 = 7.
So, the numerical length of JK is 7 units.
Learn more about Length of Line Segment here:https://brainly.com/question/1696052
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(+30)÷(-10)+(-20)÷(-1)
5 what is x? Please show work
Suppose that y is inversely proportional to the square root of x. Find the constant of proportionality k if y=11 when x=7.
Answer: 11√7
Step-by-step explanation:
Inversely proportional means y√x=k, where k is the constant of proportionality
Find k, when x = 7 and y = 11 ----> 11√7 = k
Answer:
[tex]11\sqrt{7} = k[/tex]
Step-by-step explanation:
[tex]y\sqrt{x} = k \\ \\ therefore \\ \\ 11\sqrt{7} = k[/tex]
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