Answer:
A ) What is the slope of the line? What does this slope in this situation mean?
The equation of the line is y = -200x +3000 so the slope of the line would be -200x.
This means that as x ( Month ) increases, y ( Loan ) decreases.
B ) What is the y-intercept of the line? What does the y-intercept mean in this situation?
As stated above the equation of the line is y = -200x +3000 so the y-intercept would be +3000.
In this case the y-intercept represents the cost of the loan before Jane's first payment.
C ) How many months will it take Jane to pay off the loan? Show your work.
It will take 15 months to pay off Jane's car loan.
On the graph we can see when x ( month ) equals fifteen, y ( loan ) equals zero. This means that it will take fifteen months for Jane to pay off the loan.
We can check this by putting it into our equation...
y = -200( 15 ) +3000 = 0
Hope this helps! :)
Multiply. −16√3⋅5√3 Enter your answer by filling in the boxes.
Answer:
-240
Step-by-step explanation:
−16√3⋅5√3
-16(5)√(3*3)
When you multiply numbers with the same radical (in this case square root) the numbers inside the radical can be multipled with each other. The numbers outside (in this case -16 and 5) should also be multiplied with each other.
-16(5)√9
-80√9
-80*3
-240
question is on image
The equation of the line that passes through the point (-6, 6) and (-3, 7) is y = 1 / 3 x + 8
How to find equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + c
where
m = slope of the linec = y-interceptHence, the line passes through the point (-6, 6) and (-3, 7)
m = slope = 7 - 6 / -3 + 6
m = 1 / 3
Therefore, the y-intercept of the line can be found using (-6, 6)
y = 1 /3 x + b
6 = 1 / 3 (-6) + b
6 = -2 + b
b = 6 + 2
b = 8
Therefore, the equation of the line is y = 1 / 3 x + 8
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v- 15
------- = 2
2
What is the answerrr :D
Answer:
Can you tell me what i'm supposed to be finding
Step-by-step explanation:
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
PLS RN!!
The equation in slope intercept form is y = -4x + 24.
From the graph:
yellow points are (6,0) and (4,8).
slope intercept form is y = mx + c.
slope m = 8 - 0 / 4 - 6
= 8/-2
= -8/2
= -4
Substitute m and (6,0)
y = mx + c
0 = -4*6 + c
c = 24
y = mx + c
y = -4x + 24.
Therefore The equation in slope intercept form is y = -4x + 24.
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y=-2x+10 rewrite in y=mx + b form
Answer:
it would already be in it the y is alone
Answer:
View explanation.
Step-by-step explanation:
y = -2x+10
M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.
It is already in y=mx+b form.
What is 54 divided by 6,539 equal
Answer:
0.00825814344701024621501758678697
Step-by-step explanation:
Use a calculator please<3
HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
(will mark brainlist) Which of the following expressions is equivalent to 2x +37
○ 6(2)
8(2)*
2*
6
2*
8
Answer:
B) [tex]8(2)^{x}[/tex]
Step-by-step explanation:
Using the Product Property of Exponents, we know that two exponents with the same base can have their exponents added together.
Step 1 - Convert 8 to an exponent with a base of 2:
[tex]8 = 2^{3}[/tex]
Step 2 - Use the Product Property of Exponents:
[tex]2^{3} *2^{x}[/tex]
[tex]2^{x+3}[/tex]
Hope this helps and have a great day! :)
HOMEWORK Khadijah has at most three hours to work on a math assignment
3
and a history project. If the math assignment will take hour, how much time
can Khadijah spend working on her history project?
The time spent by Khadijah to work on her history project is 2 hrs.
Addition and Subtraction:Addition and subtraction are the two basic arithmetic operations in Mathematics. In Addition, we sum up two or more numbers to get another number and it is denoted by the symbol (+).
In subtraction, we take away a number from another number and it is denoted by (-).
Here we have
Khadijah has at most 3 hrs to work on a math assignment and a history project.
The time taken by Math assignment = 1 hrs
Here we need to find the time that can be spent working on her history project.
[ Here we will use subtraction to get the answer ]
From given data
The time can be spent on History = Total time - Time taken by Math
= 3 hrs - 1 hr = 2hrs
Therefore,
The time spent by Khadijah to work on her history project is 2 hrs.
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17a^3+19a^3-25a^3-(-17a^3+19a^3-25a^3). PLEASE HELP!!!!!!!
Answer:
34a^3
Step-by-step explanation:
Since every term is alike we can add and subtract freely
(I wont be writing a^3 on every term to make this less confusing)
17 + 19 - 25 - (-17 + 19 - 25)
first the parenthesis do what is inside the parenthesis
17 + 19 - 25 - (-23)
now add everything
11 - (-23)
simplify
11 + 23
34
everything of course has a^3 at the end so
34a^3 is the answer
which of the following ratios are equalvalent to 5/20
1/4
1/5
20/100
25/100
Answer:
1/4 is a equivalent ratio
Step-by-step explanation:
hope it helped :)
If the original quantity is 5 and the new quantity is 7, what is the percent of change?
Nathan invested $3,500 in an account paying an interest rate of 3. 5% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 19 years?.
Amount of money in the account after 19 years when no deposits or withdrawals are done for the invested amount $3,500 with 3.5% interest rate compounded quarterly is equal to $6,800(nearest hundred dollars).
As given in the question,
Amount invested by Nathan is principal 'P' = $3,500
Interest rate 'r' = 3.5% compounded quarterly
Number of compounding periods per year for given quarterly 'n' = 4
Time period 't'= 19 years
Amount of money in the account after 19 years when no deposits or withdrawals are done.
Let 'A' be the amount.
Formula used:
[tex]A = P \times ( 1+ \frac{r}{n} )^{nt}[/tex]
Substitute the value in the formula we get,
A = 3500 × [ 1 + (0.035/4) ]⁽⁴⁾⁽¹⁹⁾
= 3500 × [ 1 + 0.00875]⁽⁴⁾⁽¹⁹⁾
= 3500 × [ 1.00875]⁷⁶
= 6,786.06 (approximately)
= $6800 (nearest hundred dollars)
Therefore, amount of money in the account after 19 years when no deposits or withdrawals are done for the invested amount $3,500 with 3.5% interest rate compounded quarterly is equal to $6,800(nearest hundred dollars).
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A painter can paint 15 square feet every 1/4 hour. How many square feet can they paint in one hour?
A painter can paint 60 square feet every 1 hour.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A painter can paint 15 square feet every 1/4 hour.
Now,
Since, A painter can paint 15 square feet every 1/4 hour.
Let painter can paint in every 1 hour = x square feet
So, By definition of proportional as;
⇒ 15 / (1/4) = x / 1
Solve for x as;
⇒ 15 × 4 = x
⇒ x = 60 square feet
Thus, A painter can paint 60 square feet every 1 hour.
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An artist charges $980 for a portrait but gives 5% discount for cash. Calculate the cash Price of the portrait
HELP IM GOING TO FAIL
Answer:
23) $248,943.75
24) $384
Step-by-step explanation:
23) 266,250/100= 2662.5 which is 1%
2662.5×6.5=17,306.25 which is 6.5%
Since it is a mark up we subtract 17,306.25 from 266,250 to find the
original price.
24) 320÷10=32 which is 10%
32×2= 64 which is 20%
Since it is a discount we add 64 to 320 to find the original price.
;)
the scores on a mathematics exam have a mean of 70 and a standard deviation of 5. find the x-value that corresponds to the z-score 2.33.
x-value that corresponds to the z-score of 2.33 is 81.65.
Mean = 70
Standard deviation = 5
z score = 2.33
Using the z-score formula:
z = (x - mean) / SD
Plug the values:
2.33 = (x-70)/5
x = 5(2.33) +70
x = 81.5
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The Gonzalez family drove 342 miles in 6 hours. The Wilson family drove 472 miles in 8 hours.
Which family traveled at the higher rate of speed and what was this rate?
Question 2 options:
A:Gonzalez; 57 mi/h
B: Gonzalez; 59 mi/h
C: Wilson; 57 mi/h
D: Wilson; 59 mi/h
Warning: Whoever Answers this wrong will be reported :l
If the Wilson family drove 472 miles in 8 hours. The family that traveled at the higher rate of speed and rate is: D: Wilson; 59 mi/h
How to find the rate of speed?'Using this formula to find the speed
Speed = Distance /Time
Let plug in the formula
Rate of speed for Gonzalez family
Rate of speed = 342 ÷ 6
Rate of speed = 57 mph
Rate of speed for Wilson family
Rate of speed = 472 ÷ 8
Rate of speed = 59 mph
Therefore the correct option is D.
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Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
[tex]y \ \textgreater \ x^{2} -1[/tex]
[tex]y\leq -x^{2} +4[/tex]
The solution set of the inequalities can be identified by investigating the coefficient of x^2
How to interpret graph of a parabolaThe graph of a parabola is represented by a curve as used in the graphs attached in the equation
Parabolic graphs are also called graph of quadratic equation
The equation is usually in this form
y = ax^2 + bx + c
when it is "y =" it is a vertical parabola the graph will either opens up or down
The coefficient of "x^2" which is "a" says if the curve opens upwards or downwards. when a is:
positive the parabola opens upwards andnegative means the parabola opens downwardsy > x^2 - 1 "a" is positive hence opens upwards
y ≤ -x^2 + 4 "a" is negative hence opens downwards
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What is the coordinate for midpoint D?
Answer:
B
Step-by-step explanation:
You Basically need to find halfway between 5a and -3 which has a difference of 8 so halfway is 4 so 3a +4=a
and as it is on the same line it would be (a,-2b)
Which expression is equivalent to -6(-3m-5)?
Answer:
18m + 30
Step-by-step explanation:
times everything in the bracket by 6
Which of the following is a figure consisting of two rays with the same endpoint? (1 point)
O Angle
O Circle
O Line
O Vertex
Answer would be Angle as it has 2 rays and the same endpoint
UT
T
10. FIND THE ERROR A classmate is calculating the amount in a savings
account after 10 years. The deposit is $13,000 and the annual
simple interest rate is 2%. Describe the error. What support can
you provide to help them correct the error?
The interest when the classmate is calculating the amount in a savings account after 10 years is $2600.
How to calculate the interest?From the information, the classmate is calculating the amount in a savings account after 10 years and the deposit is $13,000 and the annual simple interest rate is 2%.
It should be noted that interest is calculated as:
= (Principal × Rate × Time) / 100
= ($13000 × 2 × 10) / 100
= $2600
The simple interest is $2600.
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Solve the system by substitution.
y = x + 6
y = 3x
Answer:
y=9
x=3
Step-by-step explanation:
Answer:
x = 3y = 9Step-by-step explanation:
y = x + 6y = 3xBring one of the equations into the other one:
3x = x + 6
3x - x = 6
2x = 6
x= 3
Then, bring the found value to find the value other variable:
y = 3x = 3(3) = 9
1. (8x10^5)+(9x10^4) in standard form
2. (5x10^-1)+(5x10^-2) in standard form
3. Work out (3.5x10^11)x(2x10^15) give answer in standard form
4. (9x10^4)x(2x10^6) in standard form
5. (8x10^10) divided by (2x10^6) in standard form
6. (4.9x10^-13) divided by (7x10^4) in standard form
7. (8x10^4)-(9x10^3) in standard from
8. (7x10^-3)-(4x10^-4) in standard from
9. (3x10^7)x(3x10^12) in standard form
10. (9x10^2)x(2x10^4) in standard form
11. (1.2x10^13) divided by (6x10^2) in standard form
12. (4.5x10^9) divided by (9x10^-2) in standard form
Answer:
1. 8.9x10^5
2. 5.05x10^1
3. 7x10^26
4. 1.8x10^11
5. 4x10^4
6. 7x10^-18
7. 7.1x10^4
8. 6.6x10^-3
9. 9x10^19
10. 1.8x10^7
11. 2x10^10
12. 5x10^10
6.
Using a line of best fit equation to predict values between actual data points is an example of
O extrapolation
O correlation
O linear relation
O interpolation
For the given line of best fit, equation which represents the prediction of values between the actual data points is representing an example of interpolation.
As given in the question,
Given line of best fit equation,
Here prediction is to be done for the values which are between the actual data points.
The predicted values are within the range.
Predicted values represents either extrapolation or interpolation
If predicted values are outside the actual points it is extrapolation.
Here it is between the actual data points.
So, it is interpolation.
Therefore, for the given line of best fit, equation which represents the prediction of values between the actual data points is representing an example of interpolation.
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What is the value of the expression below when w=8?
w-2
The value of the expression w-8 is 6 when w=8
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is w minus 8
w-2
The w is the variable and 2 is the number and minus is the operator
Now given variable w is 8
So substitute the value 8 in the expression w-2
8-2=6
Hence 6 is the value of the expression w-2 when w=8
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Drag graphs to show a graph of each equation in the table.
Answer:
see screenshot
Step-by-step explanation:
the equation is always f(x) = m * x + b
with b being where the graph hits the y axis and m being how much the graph rises or drops (then m is negative) when you go 1 to the right on the x axis
6. There were 200 tickets sold for a woman's basketball game. Tickets for students
were $0.50 each and for adults they were $0.75 each. The total amount of money
collected was $132.50. How many of each type of ticket were sold?
Answer:
70 students and 130 adults
Step-by-step explanation:
Find the area of the circle pictured above.
Round your answer to the nearest tenth
Answer:
A ≈ 314.2 units
Step-by-step explanation:
To find the area of the circle, we will use the given formula. We are given the diameter (d), 20, and the radius (r) is half of the diameter. 20 units / 2 = 10 units for our radius (r).
A = πr²
A = π(10)²
A ≈ 314.15927
Now, we are asked to round to the nearest tenth.
A ≈ 314.2 units