Answer:
y=-5x+5
Step-by-step explanation:
what is the closest estimate of x where f(x) = g(x)?
Using long division, what are the first 4 digits in converting
13/33
to decimal form?
Answer:
0.3939
Step-by-step explanation:
Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60 per month
Answer:
whats the question?
Step-by-step explanation:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
Answer:
A, C, D.
Step-by-step explanation:
The parabola X= √y-9 opens: right left down up?
The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.
Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.
If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.
Therefore, the parabola x = √(y - 9) opens upwards.
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3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answer:
O a=0
Step-by-step explanation:
lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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HELP!!
Calculate the residuals for your scatterplot in step 2d.
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
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Which functions are linear
Answer:
its c
Step-by-step explanation:
which expression is equal to 3/4 [8x + 16]
a. 3x + y
b. 3x + 6
c. 4x + 13
d 6x + 12
e. 9x - 2
Answer:
Considering the expression as
\(\dfrac{3}{4} \cdot [8x+16]\)
We have
\(\dfrac{3}{4} \cdot [8x+16] = \dfrac{3}{4} \cdot 8x + \dfrac{3}{4} \cdot 16 = \boxed{6x + 12}\)
At a school concert the total value of tickets sold was $3888. Student tickets sold for $7 and adult tickets sold for $10. The number of adult tickets sold was 6 less than 4 times the number of student tickets. Find the number of student tickets sold.
Number of student tickets sold = 84
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Let the number student tickets sold = x
Let the number adult tickets sold = y
7x+10y = 3888 -----------i
y = 4x-6 ----------------------ii
Substituting eq ii in i
7x + 10 ( 4x -6) = 3888
7x + 40x - 60 = 3888
47x = 3888+60
x = 3948 / 47
= 84
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Which of the following is an extraneous solution of
√-3x-2=x+2
The option that is extraneous solution of
√-3x-2=x+2 is A. -6.
How to illustrate the information?From the information given, taking square both sides
-3x - 2 = (x + 3)²
On applying identity = a² + b² + 2ab
Then ,
-3x -2 = x² + 2² + 2 * 2 *x
-3x -2 = x² + 4 + 4x.
On adding both sides by 3x
-2 = x² + 4 + 4x + 3x
-2 = x² + 4 + 7x
On adding both sides by 2
0 = x² + 4 + 7x + 2
On switching sides
x² +7x + 6 = 0
On Factoring
x² +6x + x + 6 = 0
x ( x+ 6 ) +1 (x +6 ) = 0
On grouping
( x +1) ( x +6) = 0
x = -1, -6.
An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.
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Complete question
Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6
Convert 16 quarts to gallons. There are 4 quarts in a gallon.
OA. 32 gallons
OB. 64 gallons
OC. 4 gallons
OD. 8 gallons
16 quarts is equal to 4 gallons.
The correct option is C.
To convert quarts to gallons, we divide the number of quarts by 4 (since there are 4 quarts in a gallon).
Given that we have 16 quarts, we can calculate:
16 quarts / 4 quarts/gallon
= 4 gallons
Therefore, 16 quarts is equal to 4 gallons.
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The quality control manager at a factory records the number of equipment breakdowns each day. Let the random variable Y represent the number of breakdowns in one day. The standard deviation of Y is 0.28. Which of the following is the best interpretation of the standard deviation? A. The number of breakdowns on a randomly selected day is expected to be 0.28. B. The number of breakdowns on a randomly selected day will be 0.28 away from the mean. C. The average number of breakdowns per day for a random sample of days is expected to be 0.28 D. On average, the number of breakdowns per day varies from the mean by about 0.28. E. The number of breakdowns per day for a random sample of days is expected to be 0.28 away from the mean.
The correct option is (D). On average, the number of breakdowns per day varies from the mean by about 0.28.
Because standard deviation represents the typical distance between each data point and the mean.
The variability in a dataset is condensed into a single value called the standard deviation (SD). It shows the typical separation between the mean and each data point. Smaller values show that the data points are more evenly distributed around the mean, indicating that the dataset's values are generally stable.The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is.
A discrete random variable's variance and standard deviation can be seen as measurements of the variability of the values the random variable assumes throughout the course of an experiment's multiple trials.So, the correct answer is On average, the number of breakdowns per day varies from the mean by about 0.28.
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Tina is working on a science project. She needs to make green paint in
order to complete her project. For every two gallons of blue paint, she
needs to add six gallons of yellow. If Tina used a total of 1,312 gallons
of paint, how many gallons were yellow?
94
Answer:
I think 164
Step-by-step explanation:
1312/8
Solve the equation 53y-55=42y
Answer:
y=5
Step-by-step explanation:
Move all terms to the left
53y-55-(42y)=0
Add all the numbers together, and all the variables
11y-55=0
Move all terms containing y to the left, all other terms to the right
11y=55
y=55/11
y=5
Question 14(Multiple Choice Worth 1 points)
(03.03 MC)
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 16 to positive 16 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10.
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
10 miles
12 miles
34 miles
46 miles
Answer: mike traveled 34 miles
HELP PLEASE!! ASAP!!
Answer:
f(x) = -3x+1
Step-by-step explanation:
every straight graph has an equation f(x) = m * x + b
when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1
so your equation is -3x + 1
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Does this table represent a function? Why or why not?
X
у
2
1
2
3
4
4
4
2
5
5
O A. Yes, because every walue corresponds to exactly one y value.
B. No, because one wwalue corresponds to two different yvalues,
C. Yes, because there are two walues that are the same.
O D. No, because two of the y values are the same,
Answer:
Option B is the right optionNo, because one X value corresponds to two different y- values.
Step-by-step explanation:
Function has only one output for each input.
Hope this helps..
Good luck on your assignment..
Solve for k:
5
1
k
6.
6
k
Answer:
k= -1 ik because I just calculated it
Answer:
k = -1
Step-by-step explanation:
Since subtracting a negative is the same as adding, we can rewrite this as k + 5/6 = -1/6. Now we can subtract 5/6 from both sides, leaving us with k = -6/6 or k = 1.
Jose borrowed $1500 from the bank at a rate of 8% simple interest per year. He Paid how much in interest in three years
Answer:
360
Step-by-step explanation:
the answer is $360 because 8% x $1500 = 120 and eventually since it says 3 years we would have to times it by 3 which would equal 360
Jose will $360 in interest in three years.
What is simple interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Now it is given that,
Principle amount, P = $1500
Rate of interest, R = 8% = 0.08
Time, T = 3 years
Now, since the simple interest paid in T years is given as,
S.I = PRT/100
S.I = 1500*8*3/100
S.I =36000/100
S.I = 360
Simple interest paid in 3 years is $360.
Hence,Jose will $360 in interest in three years.
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Need help on this please, What is this number in standard form?
Answer:
24,800.07
Step-by-step explanation:
What is the solution of the inequality −3x−3>12 ?
Answer:
\(x < -5\)
Step-by-step explanation:
-3x-3>12
Divide by -3, since you are dividing by a negative, flip the equality sign:
x+1<-4
Subtract 1 from both sides:
x<-5
Hello,
I hope you and your family are doing well!
To solve the inequality −3x−3>12, you can start by moving everything to one side of the inequality by adding 3 to both sides. This gives you −3x>15.
Next, you can divide both sides of the inequality by -3 to get x<-5.
Finally, you can simplify the inequality to its final form by flipping the direction of the inequality symbol, since you divided it by a negative number. This gives you the final solution: x>-5.
So, the solution to the inequality −3x−3>12 is x>-5. This means that any value of x that is greater than -5 will satisfy the inequality.
The answer is: x > -5
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Happy Holidays!
Describe the steps you would use to factor
2x3 + 5x2 – 8x – 20 completely. Then state the factored form.
abe found thd mean and the median of this list 1,3,3 what would happen if he added 6 more
Answer:
Below in bold.
Step-by-step explanation:
The median ( the middle value) = 3.
and the mean = (1+3+3)/3 = 7/3 = 2.33....
If we add 6 to the list:
1, 3, 3, 6
- the median would be the same it = (3+3)/2 = 3.
but the mean would be (1+3+3+6)/4 = 13/4 = 3.25.
look at the picture
Answer:
C
Step-by-step explanation:
x²-9x<-8
x²-9x+(-9/2)²<-8+(-9/2)²
(x-9/2)²<-8+81/4
(x-9/2)²<(-32+81)/4
(x-9/2)²<49/4
|x-9/2|<7/2
-7/2<x-9/2<7/2
add 9/2
9/2-7/2<x-9/2+9/2<7/2+9/2
2/2<x<16/2
1<x<8
Find the value of x :)
Answer:
x = 20
Step-by-step explanation:
→ Remember how many degrees are on a straight line
180°
→ Set up an equation
2x + 70 + 3x + 10 = 180
→ Simplify
5x + 80 = 180
→ Minus 80 from both sides
5x = 100
→ Divide both sides by 5
x = 20
Answer:
x=20
Step-by-step explanation:
Those add up to 180 degrees because a straight line is 180 degrees
Equation
2x + 70 + 3x + 10 = 180
Add liked terms
2x+3x=5x
5x+80=180
5x+80-80=180-80
Divide both sides by 5
5x=100
x=20
hope this helps and good luck! <3
Multiply (3x+2)(x-5)
Answer:
The answer is 3x^2-13x-10
Step-by-step explanation:
Answer:
3x^2-13x-10
Step-by-step explanation:
(3x+2)(x-5)
3x^2-15x+2x-10
3x^2-13x-10
Janna's health class measures the heart rates of students after they walked for five minutes. The heart rates, in beats
per minute, were as follows.
102, 74, 86, 74, 96, 95, 103, 102 Find the median of the data set. What does the median tell you? (Hint: If the data set has an even number of values,
the median is the mean of the two middle values.)
The median of the data set is: 95.5
What is median?
median is the number at the middle of the given data.
To find the median of the data set {102, 74, 86, 74, 96, 95, 103, 102}, we first need to arrange the values in order from lowest to highest:
74, 74, 86, 95, 96, 102, 102, 103
Since the data set has an even number of values, the median is the mean of the two middle values. In this case, the two middle values are 95 and 96.
Therefore, the median of the data set is: (95 + 96) / 2 = 95.5
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