y = –6x+2
–12x – 2y = –4
How many solutions does this linear system have?
1. one solution: (0, 0)
2. one solution: (1, –4)
3. no solution
4. infinite number of solutions
Step-by-step explanation:
y=-6x+2
y=-6x+2 since both are equal, it can have infinite solutions
The quantities x and y are proportional. Find the constant of proportionality, and write the equation relating the two variables (y = rx) HURRY PLEASE!!
X1 Y1
3 15
5 25
7 35
Solve the quadratic formula
X^2-5x-14=0
Answer:
Step-by-step explanation:
Sum = -5
Product = -14
Factors = 2 , (-7) because 2*(-7) = -14 and 2 + (-7) = -5
x² - 5x - 14 = 0
x² + 2x - 7x - 14 = 0
x(x + 2) -7(x + 2) = 0
(x + 2)(x - 7) =0
x + 2 = 0 ; x -7 =0
x = -2 ; x = 7
Help me ...................
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars. You will use a simple random sample of 57 auto insurance policies.Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.P(939.6 < X < 972.5)
Answer:
P(939.6 < X < 972.5) = 0.6469
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.
This means that [tex]\mu = 965, \sigma = 113[/tex]
Sample of 57:
This means that [tex]n = 57, s = \frac{113}{\sqrt{57}} = 14.97[/tex]
Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.
This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So
X = 972.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{972.5 - 965}{14.97}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
X = 939.6
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{939.6 - 965}{14.97}[/tex]
[tex]Z = -1.7[/tex]
[tex]Z = -1.7[/tex] has a pvalue of 0.0446
0.6915 - 0.0446 = 0.6469
So
P(939.6 < X < 972.5) = 0.6469
The values in the table represent a linear function. How does the value of y
change in relation to a change in the value of x? The value is negative four
X Y
9 4
3 0
-3 -4
-9 -8
Answer:
The table shows that:
The value of y decreases when the value of x decreases or vice versa, the value of y increases as x increases.Therefore the line has a positive slope
10) If the original price is $76.50 and there is a 30% discount, what is the sale price?
Answer:
$53.55
Step-by-step explanation:
30% off 76.50 = 22.95
76.50-22.95=53.55
12 = 1.5x
Solve each equation algebraically
Answer:
x=8
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.
So we have [tex]\frac{3}{5} x[/tex] = 21
When it comes to equations with a variable, our goal is to isolate the variable, so let's start.
[tex]\frac{3}{5} x[/tex] = 21
1. Combine multiplied terms into a single fraction :
[tex]\frac{3x}{5}[/tex] = 21
2. Multiply both sides by the denominator :
5 * 3/5 = 3
5 * 21 = 105
3x = 105
3. Divide both sides by 3 :
[tex]\frac{3x}{3} = \frac{105}{3 }[/tex]
x = 35
9m+4n-9m what is this
Which statements are true about the parabola represented by the equatlon y = 3x 2 -15x+30
Which of the following is an example of a reserved power?
A. raising and maintaining a navy
B. declaring war and governing combat
C. establishing and funding a system of public education
D.coining money and fixing the standards of weights and measures
Answer:
B
Step-by-step explanation:
Help please this is my last question left
Answer:
10a and 5a+2a+3a
Step-by-step explanation:
6a + 4a = 10a
10a = 10a
9a is not equal to 10a
10+a is not equal to 10a
5a+2a+3a = 10a
6a - 4a is not equal to 10a
a^10 is not equal to 10a
Hope this helps! :)
Add or subtract. –29 + 40
Answer: well, technically you add but.... the answer is 11. Since it's a negative, one way to find the answer is to subtract 40 from 29, which is 11.
Step-by-step explanation:
How can i state whether each graphs represents a function?
solve for b, i already solved for A
will give brainliest
Answer:
b=23 degrees
Step-by-step explanation:
a was 66 degrees so b=23 degrees 180-90-66=23
Marcus needs 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
a(n) ______ probability is based on repeated trials of an experiment
Answer:
xfhdvhhjjhsjsdhdsjjfsjf
Step-by-step explanation:
Two cakes are shared equally among seven friends. What fraction of a cake
will each friend get?
Answer:
Step-by-step explanation:
Hii
F(x)= x^3 +3
G(x)= x^2 +2
Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.
Answer:
[tex]x = \frac{ - 13}{16} [/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{3} + 3 \\ g(x) = {x}^{2} + 2[/tex]
At the point of intersection, f(x)=g(x)
[tex] {x}^{3} + 3 = {x}^{2} + 2 \\ collect \: like \: terms \\ {x}^{3} - {x}^{2} + 3 - 2 = 0 \\ {x}^{3} - {x}^{2} + 1 = 0[/tex]
[tex] {x}^{3} - {x}^{2} + 1 = 0[/tex]
The above graph is that of the equation
[tex] {x}^{3} - {x}^{2} + 1 = 0[/tex]
The solution is = -0.755 which is approximately -0.8
From the option provided;
For option A, x = -13/16 = -0.8125
For option B, x = -5/4 = -1.25
For option C, x = -15/16 = -0.9375
For option D, x = -7/8 = -0.875
From the option provided, The closest to the solution is Option A
Because - 0.8125 is approximately -0.8
Not happy Bob, n o t h a p p y
Answer:
I hope you feel happy
Be happy bud there is good coming for u
Step-by-step explanation:
How do I solve this question?
Answer:
The correct answer is given by option a.
Step-by-step explanation:
Rational roots theorem:
In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).
The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.
In this question:
Leading coefficient: 3
Independent term: 15
Factors of the independent term: {1, 3, 5, 15} -> p
Factors of the leading coefficient: {1,3} -> q
Possible roots:
All possible values, positive or negative, in which p is divided by q. So
[tex]\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}[/tex]
So, without the repeated terms, they are:
[tex]\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15[/tex]
The correct answer is given by option a.
3. Ditmas Middle School has 4,000 students. Montauk Middle School has
1/10 (one tenth) as many students as Ditmas Middle School. How many
students are there at Montauk Middle School.
Answer:
400 students
Step-by-step explanation:
4,000/10 = 400
Answer:
400
Step-by-step explanation:
The Commutative Property for addition and multiplication
means you can switch the order of the numbers and still get
the same answer.
8+ 1 = 9 and 1 + 8 = 9
9*1 = 9 and 1 * 9 = 9
In which expression below is the Commutative
Property possible?
С
B
A
s/2
8-f
3.w
Answer:
3*W
Step-by-step explanation:
3*W = 3W
Or you can switch them around and still have the same answer
W*3= 3W
jack maclean has entered into real estate
Answer:
im sorry but id ont know
Step-by-step explanation:
Is this expression equivalent to 1.5?
0.15 x 10
Answer:
True
Step-by-step explanation:
0.15 x 10 = 1.5
Answer: Yes it is.
Step-by-step explanation:
When you times decimals by ten it moves the decimal down.
Help please I don’t k ow what to do
Answer:
dino
Step-by-step explanation:
yup
Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7
Answer:
-50v - 49
Step-by-step explanation:
Just distribute you can even use a calculator
please hurry, i need the answer
Given the histogram, use the drop-down menus to identify the elements.
Zero frequency:
A peak:
Answer:
Zero frequency: [tex]351-400[/tex]
A peak: [tex]851-700[/tex]
Step-by-step explanation:
A histogram is a graphical representation that organizes a data in the form of rectangular bars.
From the given diagram of histogram,
Zero frequency: [tex]351-400[/tex]
A peak is a bar that is taller than the rest of the bars.
A peak: [tex]851-700[/tex]
Answer:
Zero Frequency: 351-400
A Peak: 651-700
Step-by-step explanation:
Got it right on Edge
If you have the equation, y=2x+10 what’s x if y=24
Answer: x=7
24=2x+10
24-10=14
14=2x
14/2=7
Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
5.87998 + 3.100 = [?]
The answer after performing mathematical operation is 8.97998 .
What is mathematical operations?
In order to add, subtract, multiply, or divide two or more quantities, one must perform a series of four fundamental operations known as mathematical operations. They involve the study of numbers and the order of operations, which are important in all other areas of mathematics like algebra, data processing, and geometry. Without employing mathematical operation rules, we are unable to solve the issue. The addition, subtraction, multiplication, and division operations all follow the same four fundamental rules.
Here the given ,
=> 5.87998 + 3.100
=> 5.87998
+ 3.10000
--------------------
8.97998
=> 5.87998+3.100=[8.97998]
Hence after performing mathematical operations the answer is 8.97998.
To learn more about mathematical operations refer the below link
https://brainly.com/question/25828217
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