Step-by-step explanation:
x(x-4)(x+1) is a 3 degree polynomial in factored form with zeros 0,4 and -1
Just take each zero and change its sign, then stick an x in front of it to get the 3 factors
(x-0)(x-4)(x- -1) = x(x-4)(x+1)
= x(x^2-3x-4)
= f(x) = x^3 -3x^2 -4x
f(0) = 0
f(4) = 64-3(16)-4(4) = 0
f(-1) = -1 -3(-1)^2 -4(-1) = 0
graph the polynomial and it intersects the x axis in 3 places, the origin (0,0), (4,0) and (-1,0)
Question 1. What expression represents "the sum of 5 times p and 9, divided by 10"?
A. 10(5p + 9)
B. 10/(5p + 9)
C. (5p + 9)/10
Question 2. What is this expression translated into words?
2n + 1
A. 2 times 1 added to a number n
B. one plus 2 divided by a number n
C. two times a number n added to one
Answer:
C and C
Step-by-step explanation:
1) (5P + 9)/10 (C)
2) 2 times N plus 1 (C)
Given the set of all even integers between and including -18 to -6,
what is the probability of choosing a multiple of -6 from this set?
Answer:
3/7
Step-by-step explanation:
Given set is {-18,-16,-14,-12,-10,-8,-6}
Probability = Number of favorable outcome / Number of possible outcomes
Favorable outcomes ={ -18, -12, -6}
probability of choosing a multiple of -6 = 3/7
PLS HELP ME!!! I AM GIVING ALL MY POINTS OUT( look I don't have alot of points don't bully me(⌐■_■))
Answer:
9x
Step-by-step explanation:
3x3=9 +x=9x hope this helps
four cards are drawn from a deck without replacement. find the probability all cards are black cards.
The probability that all four cards drawn from a deck are black cards is 1/4165.
There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.
In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.
Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.
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Question 101 3.1 What is the constant difference between the consecutive terms? < 612,18.24 e 7.14.21.28
Answer:
The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
c. infinitely many solutions
What is the value of the 24th term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-170
152
-200
170
Answer:
152
Step-by-step explanation:
this is an arithmetic sequence, since the gap between values is the same (-2 - -9 = 7, 5 - -2 = 7......)
the first value, a, is -9. the common difference is 7. n is position in sequence.
formula for arithmetic sequence = a + (n-1)d
= -9 + (n-1) 7
= -9 + 7n -7
=7n -16.
so the 24th term is 7(24) - 16
= 152.
in each of problems 18 through 22, rewrite the given expression as a single power series whose generic term involves xn 21
We can use similar methods to rewrite the expressions in problems 19 through 22 as single power series.
How we can generic term involves xn 21?To rewrite each of the expressions in problems 18 through 22 as a single power series whose generic term involves xn, we can use the formula for a geometric series. This formula states that a geometric series with first term a and common ratio r can be expressed as:
a + ar + ar² + ar³ + ...
We can rewrite this formula in terms of xn by letting a = f(21) and r = (x - 21)/21. Then, the nth term of the series is given by:
f(21) ˣ [(x - 21)/21]^n
Using this formula, we can rewrite each of the given expressions as a single power series whose generic term involves xn.
For example, in problem 18, we are given the expression:
f(x) = 1/(x² - 4x + 3)
We can factor the denominator as (x - 1)(x - 3) and write:
f(x) = 1/[(x - 1)(x - 3)]
Using partial fractions, we can express f(x) as:
f(x) = 1/(2(x - 1)) - 1/(2(x - 3))
Now, we can use the formula for a geometric series with a = 1/2, r = (x - 21)/21, and n = k - 21 to write:
f(x) = 1/2 ˣ [(x - 21)/21]²¹ - 1/2 * [(x - 21)/21]²³ + ...
This is a single power series whose generic term involves xn. We can use similar methods to rewrite the expressions in problems 19 through 22 as single power series.
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a plumer charges $25 for a service call plus $50 per hour of service. write an equation in slope - intercept form for cost , c ,after h hours of service, what will be the total cost for 8 hours of work? 10 hours of work
The total cost for 10 hours of work would be 25 + 50(10) = 525.
What is cost?Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.
The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.
The total cost for 8 hours of work would be 25 + 50(8) = 425.
The total cost for 10 hours of work would be 25 + 50(10) = 525.
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ANSWER ASAP!!
Answer should only contain positive exponents .
2n/n^2
I got n/n^2 .
Answer:
\(\frac{2}{n}\)
Step-by-step explanation:
\(\frac{2n}{n^2}\) (exponential rule for fraction is the number subtract each other)
\(2n^{-1}\) (from the top n exponent of 1 minus bottom exponent of2 (1-2=-1))
since the n is a -1 exponent to make it positive you put it in the denominator
\(\frac{2}{n}\)
(the reason it's not n/n^2 is that the two cannot just disappear or be taken away unless you are solving for something and the n/n^2 can also be simplified into the 1/n)
Which inequality does this graph show? A. y > 0 B. y < 0 C. D.
Answer: The answer is B) y < 0
Answer: B
Step-by-step explanation:
Complete the inequality. 13/18___ 11/14 < > =
Answer:
Your answer is <, Hope it helps.
HOW TO DO THIS HELP BEST ANSWER GETS BRAINLY WITH A REAL GOOD EXPLANATION AND ANSWER
Answer:
Substitute the value of the variable into the expression and simplify.
---> (38)
Answer:
38
Step-by-step explanation:
x² + 2y ÷ 2w + 3z if (w = 2) (x = 5) (y = 8) (z = 3)
Now switch the letters with the numbers that it was given
x² is (5²)
2y is (2 * 8)
2w is (2 * 2)
3z is (3 * 3)
Put these in the equation
5² + (2 * 8) ÷ (2 * 2) + (3 * 3)
Solve what is inside the parenthesis
5² + (16) ÷ (4) + (9)
get rid of the parenthesis
5² + 16 ÷ 4 + 9
Now solve it from here
5² "(5 * 5)" = 25
25 + 16 ÷ 4 + 9
you want to divide 4 into 16 first because of PEMDAS
25 + 4 + 9
29 + 9 = 38
I am testing for a correlation between subjects' level in college (Freshman, Sophomore, Junior, Senior) and their annual income (in dollars). Which test would I use
Using Pearson's correlation coefficient test is an effective way to determine if there is a relationship between two variables, and can help inform decisions and policies related to education and employment.
To test for a correlation between subjects' level in college and their annual income, you would use a correlation coefficient test. Specifically, you would use Pearson's correlation coefficient test, which measures the strength and direction of the linear relationship between two variables. In this case, the two variables are the level in college (Freshman, Sophomore, Junior, Senior) and annual income in dollars.
Pearson's correlation coefficient ranges from -1 to 1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases) and a value of 1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases). A value of 0 indicates no correlation between the two variables.
Once you have collected data on the subjects' level in college and annual income, you can calculate Pearson's correlation coefficient using statistical software or a calculator. If the correlation coefficient is significantly different from 0 (i.e., there is a correlation between the two variables), you can then interpret the strength and direction of the correlation to determine how the level in college relates to annual income.
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determine the slope of the table
Answer:
The slope is -1/2 or -0.5
Hope this helps!
Answer:
The slope is 5
Step-by-step explanation:
if you add 2 to -3 then you get your answer
Find x.
a) 3√3
b) 81
c) 9√3
d) 6√3
Step-by-step explanation:
(x + 2)( x – 2)
A. x2 − 8
B. 3x2 − 14x − y
C. x2 − 4
D. x2 − 2
2. Factor Completely: x2 − 36
A. (x + 6)(x – 6)
B. (x + 6)(x + 6)
C. (x – 6)(x − 6)
D. Prime
3. Factor Completely: 4x2 − 81
A. (4x – 9)(x + 9)
B. (2x + 9)(2x + 9)
C. (2x + 9)(2x – 9)
D. (2x – 9)(2x − 9)
4. Factor Completely: x2 + 16
A. (x + 4)(x + 4)
B. (x + 4)(x – 4)
C. Prime
D. (x – 4)(x − 4)
5. Factor Completely: 2x2 − 18
A. Prime
B. 2(x2 − 9)
C. 2(x + 3)(x – 3)
D. 2(x + 3)(x + 3)
6. Factor Completely: 3x2 − 21
A group of friends chartered a deep-sea fishing boat out of destin, fl. the graph below represents the total cost, in dollars, of the trip as a function of the number of people going. graph the group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. what is the difference in price per passenger for a group of 16 versus a group of 10? $46.25 $36.25 $56.25 $26.25
The difference in price per passenger for a group of 16 versus a group of 10 is $26.25
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
From the graph:
The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.
Cost per passenger for 16 friend = $2500 / 16 = $156.25
Cost per passenger for 10 friend = $1300 / 10 = $130
The difference in price = $156.25 - $130 = $26.25
The difference in price per passenger for a group of 16 versus a group of 10 is $26.25
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Answer:
D) 26.25
Step-by-step explanation:
Got it right on edge
For the statement S := ∀n ≥ 20, (2^n > 100n), consider the following proof for the inductive
step:
(1) 2(k+1) = 2 × 2k
(2) > 2 × 100k
(3) = 100k + 100k
(4) > 100(k + 1)
In which step is the inductive hypothesis used?
A. 2
B. 3
C. 4
D. 1
The inductive hypothesis is used in step C.
In step C, the inequality "100k + 100k > 100(k + 1)" is obtained by adding 100k to both sides of the inequality in step B.
The inductive hypothesis is that the inequality "2^k > 100k" holds for some value k. By using this hypothesis, we can substitute "2^k" with "100k" in step B, which allows us to perform the addition and obtain the inequality in step C.
Therefore, the answer is:
C. 4
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We can think of the ANOVA test as examining a relationship between an explanatory variable that is Select] and a response variable that is (Select] We can also think of the ANOVA test as comparing [ Select] for [Select] < population(s) or treatment(s).
We can think of the ANOVA test as examining a relationship between an explanatory variable that is categorical and a response variable that is continuous.
The categorical variable is often referred to as a factor or a grouping variable, while the continuous variable is typically the outcome or dependent variable.
In the ANOVA test, we compare the means of multiple groups or populations. The groups can represent different levels or categories of the explanatory variable.
The goal is to determine if there is a significant difference in the means of these groups, which would indicate that the explanatory variable has an effect on the response variable.
By conducting an ANOVA test, we are essentially comparing the variation between the group means to the variation within each group.
If the variation between the group means is much larger than the variation within each group, it suggests that the groups have different population means.
The ANOVA test allows us to make inferences about the population means based on the sample means. By comparing the means of multiple groups, we can assess if there is evidence to suggest that the means are not all equal.
If the ANOVA test results in a statistically significant difference, we can further explore pairwise comparisons to determine which specific groups have different means.
In summary, the ANOVA test helps us examine the relationship between a categorical explanatory variable and a continuous response variable, and it allows us to compare the means of different groups to assess if there are significant differences among them.
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y=-2x + 2 make a table of values
Answer:
Step-by-step explanation:
The negative sign in y = -2x + 2 tells us immediately that the y intercept of the graph of this function is (0, 2). If we start at (0, 2) and increase x by multiples of 1, y decreases by 2 in each case (the slope of this line is -2). Thus, we begin a table as follows:
x y = -2x + 2
0 2
1 -2(1) + 2 = 0
2 -2(2) + 2 = -4 + 2 = -2
and so on:
x y = -2x + 2
0 2
1 0
2 -2
3 -4
4 -6
Determine the sum of the first 27 even Natural Numbers.
378
2,700
270
756
Answer:
this is called AP arithmetic progression
2, 4, 6.........
sn=n/2(2a+(n-1)d)
S27=
\( \frac{27}{2 } (2 \times 2 + (27 - 1)2)\)
\( \frac{72}{2} (4 + (26 \times 2)\)
\( \frac{27}{2} (4 + 52)\)
\( \frac{27}{2} \times 56\)
\(27 \times 28\)
=756
How do you eliminate negative exponents?.
To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.
Given:
Eliminating negative exponents:
Example:
1) \(x^{-5}\)
on reciprocal:
= 1/x^5
eliminated negative
2) \(x^{-7}y^{-4}\)
= x^-7*1/y^4
= 1/x^7y^4
Therefore To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.
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Choose the appropriate pattern and use it to find the product: (p−3)(p+3).
We have to mutliply two algebraic expression. We will use the distributive property to multiply. A form of the distributive property is shown below:
\((a+b)(c+d)=a(c)+a(d)+b(c)+b(d)\)Basically we take the first term of the first factor and multiply it with the two terms of the second factor.
Next, we take the second term of the first factor and multiply it with the two term of the second factor.
The multiplication process is outlined below:
\(\begin{gathered} (p-3)(p+3) \\ =p(p)+p(3)-3(p)-3(3) \\ =p^2+3p-3p-9 \end{gathered}\)We see that "3p" and "-3p" will cancel out. So, the product is >>>>
\(\begin{gathered} p^2+3p-3p-9 \\ =p^2-9 \end{gathered}\)Answer\(p^2-9\)Find the surface area of the rectangular prism:
5 cm
4 cm
3 cm
4 cm
5 cm
3 cm
Answer:
94 cm²
Step-by-step explanation:
= 2 × (5×3 + 5×4 + 3×4)
= 2 × (15 + 20 + 12)
= 2 × 47
= 94 cm²
r2adj can exceed r2 if there are several weak predictors.
False, r2adj is the adjusted coefficient of determination that can exceed r2 if there are several weak predictors.
R2adj is the adjusted coefficient of determination and takes into account the number of predictors in the model. It penalizes the addition of insignificant predictors that do not improve the model fit.
R2, on the other hand, is the coefficient of determination and measures the proportion of variability in the dependent variable that is explained by the independent variables in the model.
It is possible for R2 to increase when weak predictors are added, but this increase is not necessarily mean that the predictors do not have a significant impact on the outcome.
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The question is -
R2adj can exceed R2 if there are several weak predictors. true or false?
How many congruent sides does an equilateral triangle have?
Answer:
3 congruent sides
Answer:
3
Step-by-step explanation:
equilateral triangles have all sides that are the same, and all triangles have 3 sides
convince me with my question (brainliest plzz)
Use the table of random numbers to simulate the situation.
An amateur golfer hits the ball 48% of the time he attempts. Estimate the probability that he will hit at least 6 times in his next 10 attempts.
The estimate of the probability that he will hit at least 6 times in his next 10 attempts is given as follows:
80%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
An amateur golfer hits the ball 48% of the time he attempts, hence we round the probability to 50%, and have that the numbers are given as follows:
1 to 5 -> hits.6 to 10 -> does not hit.From the table, we have 20 sets of 10 attempts, and in 16 of them he hit at least 6 attempts, hence the probability is given as follows:
16/20 = 0.8 = 80%.
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Evaluate the expression when a=-2 and b=5.
- 7b+a
Answer:
Answer
= -7×5-2
= -35-2
=-37
Answer:
i got -37
Step-by-step explanation:
=-7x5+-2
=-35-2
=-37
cyclist is riding a tough route through the desert. he is about to start a 20 km section which has 10 km steeply uphill and then 10 km steeply downhill. if he averages 12 km/hour on the uphill section, what must be his average speed on the downhill section so that his average speed for the entire trip is 20 km/hour?
The average speed for the downhill section must be 20 km/hour
Let's call the average speed for the uphill section "u" and the average speed for the downhill section "d". The total average speed for the 20 km section must be 20 km/hour, so we can set up an equation:
\((10 km / u) + (10 km / d) = 20 km / 20 km/hour\)
We know that the average speed for the uphill section is 12 km/hour, so we can substitute this value into the equation:
\((10 km / 12 km/hour) + (10 km / d) = 20 km / 20 km/hour\)
Simplifying the equation:
\(5/6 + 10/d = 1\)
\(5/6 = 1 - 10/d\)
\(d = 20 km/hour\)
So the average speed for the downhill section must be 20 km/hour in order for the average speed for the entire trip to be 20 km/hour.
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A nursery owner buys 5 panes of glass to fix some damage to fix some damage to his greenhouse. The 5 panes cost $11.75. Unfortunately, he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
Cost of single pane = 11.75 / 5 = $2.35
Cost of 2 extra panes = 2*2.35 =$4. 7
Answer:
The cost for 2 more glass panes is $4.70
Step-by-step explanation:
1. Fist divide 11.75 by 5 to find out how much one pane costs, you should get 2.35.
2. Next multiply 2.35 by 2 to find out how much it is for 2 more glass panes.
Then you will get our answer ($4.70)