4. A: y= 2x + 6
B: y= x + 9
5. (3,12)
6. C: a pizza with 3 toppings will equal $12 at either restaurant
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
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A sum of money amounts to 10000 after 5 years and 15000 after 8 years at the same rate of simple
mterest. Find the rate of interest per annum.
Answer:
Rate of interest = 99.99%
Step-by-step explanation:
The computation of the rate of interest is shown below:
Given that
The amount after 5 years is 10,000
And, after 8 years it is 15,000
so for 3 years, it is
= 15000 - 10000
= 5000
Now the simple interest for one year
= 5000 ÷ 3
And, for five years, its is = 5000 ÷ 3 × 5
= 8333.33
Now the principal amount is
= 10,000 - 8333.33
= 1666.67
Now finally the rate of interest is
8333.33 = 1666.67 × Rate of interest × 5
Rate of interest = 99.99%
an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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which aglae has a lager mass at 3 hours in kilograms
Answer:
A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours
6. Jason states that -8.0 is not an integer because it has a decimal. Is he correct? Why or why not
Answer: He is incorrect.
Step-by-step explanation:
Since we are talking about -8.0, we can "ignore" the .0 because 0 has no value. An integer is a whole negative number, whole positive number, or zero. -8 is a whole negative number, since .0 means "nothing" here, so it is an integer.
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Which lines in the diagram must be parallel?
(not drawn to scale)
514
1337
47°
q
S
Answer
47
Step-by-step explanation:
please need complete solution :(
1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.
2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.
3) c) Relation is the set of all y such that y is an element of the real numbers.
4) Complementary angles make c) 90°.
5) d) Supplementary angles form 180°.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
The human resources department of the Mean Corporation would like to estimate the size of the annual salary that they should offer to university graduates. The CEO of the Mean Corporation has suggested that the salary offered (W) should be calculated based on the Grade Point Average (G) of a student. Based on a random sample of university graduates, the human resources department has calculated the mean salary offered to university graduates to be /W and the mean Grade Point Average of university graduates to be /G. The Mean Corporation will carry out a regression analysis to investigate the relationship between salary and Grade Point Average.
Write down the independent variable in the regression analysis that will be conducted.
The independent variable in the regression analysis that will be conducted is the Grade Point Average (G) of university graduates.
It is considered the independent variable because it is the predictor or explanatory variable that is believed to have an effect on the dependent variable, which is the salary offered (W). The regression analysis will help to estimate the relationship between the two variables and provide a mathematical equation that can be used to predict the expected salary for a given Grade Point Average.
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the mayor of a town has proposed a plan for the construction of a new bridge. a political study took a sample of 1400 voters in the town and found that 53% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 50%. testing at the 0.02 level, is there enough evidence to support the strategist's claim? step 1 of 7 : state the null and alternative hypotheses.
Null Hypothesis: The percentage of residents who favor construction is equal to 50%. Alternative Hypothesis: The percentage of residents who favor construction is greater than 50%.
The null hypothesis for this situation is that the percentage of residents who favor the construction of the new bridge is equal to 50%. The alternative hypothesis is that the percentage of residents who favor the construction of the new bridge is greater than 50%. This hypothesis can be tested by taking a sample of the residents of the town and seeing if the percentage of those who favor the construction of the bridge is greater than the 50% mark. The level of significance for this test is 0.02, meaning that if the sample data indicates that the percentage of those who favor the construction is greater than 50%, then there is enough evidence to support the strategist's claim. This can be tested by calculating the probability that the sample data is greater than 50%. If the probability is less than the level of significance (0.02), then the strategist's claim is supported.
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How do you do all of them none of the answers are working please help
Check the picture below.
Which of the following statements is true of the polynomial x2 + 6x3 − 4 + 2x5?
A. The degree of the polynomial is 1.
B. The end behavior of the polynomial is similar to f(x) = –x.
C. The polynomial in standard form is 2x5 + 6x3 + x2 − 4.
D. The polynomial is increasing for all real numbers.
Answer:
The correct option is;
C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4
Step-by-step explanation:
The given polynomial is x² + 6x³ - 4 + 2·x⁵
Therefore, we have;
The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5
The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x
The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;
2·x⁵ + 6x³ + x² - 4
The polynomial decreases fox x < 0
Degree of polynomial is the highest power written in the equation
thus the correct answer is C for the question
Explanation
The equation is written in the form of lowest power to higher power x²+6x³-4+2\(x^{5}\) The correct form is highest to lowest power 2\(x^{5}\)+6x³+x²-4Thus we conclude that the answer to the above question C
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There are 3 similar triangles. how many angles do you need in order to know they are similar shapes
Answer:
Step-by-step explanation:
To determine whether two triangles are comparable, compare the ratios of their corresponding sides. The triangles are identical if the ratios of the respective sides are the same. The "side-side-side" (SSS) similarity criteria is used for this.
To demonstrate that the three triangles are similar, examine the ratios of the corresponding angles. The triangles are identical if the ratios of the respective angles are equal. The "angle-angle-angle" (AAA) similarity criteria is used for this.
To determine whether three triangles are comparable, measure and compare the ratios of at least three matching angles.
List the sample space of the following chance experiment: Selecting a letter from the word statistics.
A. {s, t, a, i, c, e}
B {s, t, a, r, i, c }
C {s, t, a, l, c}
D {s, t, a, i, c}
D. {s, t, a, i, c}
The sample space must contain outcomes which are possible to obtain in a probability. Since the word 'statistics' doesn't contain letter e(A), r(B) and l(C) thus Option D is the correct answer.
Hope this helps :)
Is 2 a solution for the equation 5x + 6=3x - (-2x - 6)
Answer:
x=0
Isolate the variable by dividing each side by factors that do not contain the variable.
Please help with a rational functions equation question.
D= {zIz ≥3}
E= {zlz <5}
Write F U H and F n H using interval notation. If the set is empty, write Ø
The union (F U H) and intersection (F n H) of sets F and H, represented in interval notation, are as follows: F U H = (-∞, 5) and F n H = [3, 5).
In interval notation, (a, b) represents an open interval, meaning it includes all values between a and b, but excludes both endpoints. [a, b] represents a closed interval, including both endpoints. The set F is defined as {z: z ≥ 3}, which can be represented as [3, ∞) since it includes all values greater than or equal to 3. The set H is defined as {z: z < 5}, which can be represented as (-∞, 5) since it includes all values less than 5.
To find the union (F U H), we combine the intervals of F and H. Since the set F includes all values greater than or equal to 3 and the set H includes all values less than 5, the resulting union includes all values less than 5 as well as all values greater than or equal to 3. Therefore, the union (F U H) can be represented as (-∞, 5).
To find the intersection (F n H), we find the common values between F and H. In this case, the intersection includes all values that are both greater than or equal to 3 and less than 5. This results in the interval [3, 5), which includes 3 but excludes 5.
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When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. true or false
The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only
When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.
By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.
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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.
when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.
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Alice, Bob, and Carl are at a restaurant together. They decide to split
the check evenly between all of them. How much will each person
pay?
Everyone is going to round up to the nearest cent to make sure the
bill is fully paid.
Alice ordered lunch costing $6.82 and a drink
costing $6.03.
Bob ordered a drink costing $7.13.
Carl ordered a drink costing $8.20.
The restaurant automatically applies a 14% tip
to the bill and rounds up to the nearest cent
Answer:
10.71
Step-by-step explanation:
add up costs
multiply by 1.14
divide by 3
- m/3 = -4
find the answer for m with work provided
Answer:
m = 12
Step-by-step explanation:
\(-\frac{m}{3} =-4\\\)
→ Multiply both sides by 3
\({-m} =-12\\\)
→ Multiply both sides by -1
m = 12
12 points
1. FIND THE SLOPE
A. 2
6
4
B.
-2
2
-6
1-2
-4
X
0
D.
Ο Α
Answer:
i think it's 1, but I don't know if I'm right
Answer:
1
Step-by-step explanation:
2/2 = 1
The weight of 12 TV sets is 164.4 kg. Find the weight of one TV set
Answer:
Step-by-step explanation:
Weight of 12 TV sets = 164.4 kg
so weight of 1 TV set = 164.4 / 12
= 13.7 kg
Hope this helps
plz mark as brainliest!!!!
Find the GCF of 75 and 100
Answer:
I believe its 25.
On the same coordinate planes, mark all points such that y=x+3, y=-x+3, y=|x|+3
Please help me out!! :c
Katie has f fish. Alejandro has 11 fish, which is 3 fewer than twice the number Katie has.
Which equation shows an equality between two different ways of expressing how many fish Alejandro has?
A. f + 3 = 11
B. f – 3 = 11
C. f/2 - 3 = 11
D. 2f – 3 = 11
Answer:
The answer would be D
Step-by-step explanation:
To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.
Answer:
the answer is d just did the test got it right
Step-by-step explanation:
What is three squared minus two thirds?
three squared minus two thirds
\(3^2-\frac{2}{3}\)three square = 3 x 3 = 9
\(\begin{gathered} 3^2-\frac{2}{3}=9-\frac{2}{3} \\ 3^2-\frac{2}{3}=\frac{9}{1}-\frac{2}{3} \end{gathered}\)Least common factor of 1 and 3 is 3
\(\begin{gathered} 3^2-\frac{2}{3}=\frac{9}{1}-\frac{2}{3} \\ 3^2-\frac{2}{3}=\frac{27-2}{3} \\ 3^2-\frac{2}{3}=\frac{25}{3} \end{gathered}\)Three squared minus two third is twenty five by three.
Evaluate 3|-4| -12 12 4
Answer: 12
Step-by-step explanation: In this problem,
we first determine the absolute value of -4.
The absolute value of -4 is 4 so we have 3(4) which is 12.
Someone please help?
Answer:
42°
Step-by-step explanation:
its 42° because its smaller than 48° and that's the only option smaller lol
Answer:
42 degrees
Step-by-step explanation:
The angle forms a right angle, which in total would be 90 degrees.
48 + 42 would be the only option because it is the only one that adds up to 90 degrees.
D. A concession stand sells both regular and diet soda at a basketball game. Of the sodas sold,
21 of them were diet. The diet sodas sold were 12% of the total soda sales. How many total
sodas were sold? Show your work.
(1) 86
(3) 145
(2) 116
(4) 175
Answer:
the answer is (4) 175.
Step-by-step explanation:
use the vertex formula to find the vertex of the quadratic function f(x)=-x^2+6x-10
Answer:
15
Step-by-step explanation:
Answer:
I am sorry I can't help
Step-by-step explanation:
please forgive me
Select the statement below that is true about correlations.A. Correlations can only be negativeB. Correlations are a measure of how much one variable changes as the other variable changesC. Correlations are a measure used to determine the degree to which two variables are related.D. Correlations are a measure of causation between two variablesE. A negative correlation implies no relationship between variablesF. Correlations can only be positive
The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .
In the question,
few statements about Correlation is given ,
we need to find the statement that is True .
we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,
the correlation can be negative , positive or 0 ,
and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .
So , from the above information about Correlation ,
we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "
Therefore , the statement in option (c) is True .
The given question is incomplete , the complete question is
Select the statement below that is true about correlations.
(a) Correlations can only be negative
(b) Correlations are a measure of how much one variable changes as the other variable changes
(c) Correlations are a measure used to determine the degree to which two variables are related.
(d) Correlations are a measure of causation between two variables
(e) A negative correlation implies no relationship between variables
(f) Correlations can only be positive .
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