Answers
Answer:
Step-by-step explanation:
First find slope
y2 - y1 / x2 - x1
2 - 4 / 0 + 1
-2/1 = slope
Find b now
Insert any x and y
2 = -2/1 (0) + b
Solve for b
b = 2
y= -2x + 2
Related Questions
Write an expression, of the type A log(x B), for the transformed logarithmic function shown below:
Answers
The equation of the logarithmic function is y = log(x - 1)
How to write the equation of the transformed function?The points are given as:
(0,3) and (2,0)
The equation is represented as:
y = A log(x + B)
Substitute (2,0) in y = A log(x + B)
y = A log(x + B)
This means that:
0 = A log(2 + B)
This means that:
A = 0 or log(2 + B) = 0
Take the antilog of both sides of log(2 + B) = 0
2 + B = 1
Solve for B in 2 + B = 1
B = -1
Substitute B = -1 in y = A log(x + B)
y = A log(x - 1)
Substitute (0,3) in y = A log(x - 1)
3 = A log(0 - 1)
So, we have:
3 = A log(-1)
The above equation is undefined.
Hence, the equation of the logarithmic function is y = log(x - 1)
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Complete question
Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:
(0,3) and (2,0)
In order to make a dozen
cookies you need to use
1/2 cups of Flour.
What is the rate of
cookies per cup of flour?
Answers
Answer:
I think it's 24
Step-by-step explanation:
forming a 3-digit numbers from 1,2,3,4,5,6,7,8,9,0.
Answers
Answer:
It depends on how many you need
Step-by-step explanation:
Any combination of these numbers works! If you want to know HOW MANY total combinations there are, there are 720
Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?
Answers
Answer:
360 calories
Step-by-step explanation:
360
Answer:
360
Step-by-step explanation:
The height of three Russian dolls are in the ratio 7:12:17.
Rewrite this as an equivalent ratio of tye form 1:m:n.
Give any decimal in your answer in 2 d.p
Answers
Rewriting the ratio as an equivalent ratio of 1 : m ; n is 1 : 12/7 : 17/7
Rewriting the ratio as an equivalent ratioFrom the question, we have the following parameters that can be used in our computation:
The height of three Russian dolls are in the ratio 7:12:17.
So, we have
Ratio = 7:12:17
The form is given as 1:m:n.
So, we divide through the ratio by 7
So, we have
Ratio = 1 : 12/7 : 17/7
Hence, the equivalent form is 1 : 12/7 : 17/7
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mention about angles of a triangle
Answers
The bar graph shows how many people visited a museum each day for five days
Answers
Answer:
Where is the graph
Step-by-step explanation:
what property of the median does this illustrate? a. it does not illustrate any property of the median. b. it illustrates the non-resistance of the median. c. it illustrates the resistance of the median. d. it illustrates that the median divides the bottom 50% of the data from the top 50%.
Answers
Answer: C. It illustrates the resistance of the median.
can someone help me please
Answers
7.G.1.3 The figure below shows a cube of side length 6 units. 6 Draw the shape of a vertical slice through the cube, assuming the slice is parallel to one of the faces of the cube. Label the dimensions of your drawing. please help I am struggling with this one
Answers
Answer:
the second dimension 2D
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues {1, 0, -1, 0, 1, 0, -1, 0,...}
Answers
The formula for the general term of sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by
\(a_{n} = cos\frac{(n-1)\pi }{2}\).
According to the given question.
We have a sequence {1, 0, -1, 0, 1, 0, ...}
Since, we have to find the formula for the general term of the given sequence.
Here, the first term is 1.
Second term is 0.
And the third term is -1.
From the given sequence we can say that all the even term is 0 and other terms are followed by 1 and -1.
Therefore, the formula for the general term of sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by
\(a_{n} = cos\frac{(n-1)\pi }{2}\).
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I ask you, to solve the system.
y=x2+2x-2
y=x+10
Answers
Answer:
y = 22 - x2 or x = 12 - x2
Step-by-step explanation:
Find the new amount increase
700 by 40%
Answers
40% of 700 is 280, you then add that to 700.
Ackson wants to divide a 0.75-pound box of trail mix into small bags. Each of the bags will hold LaTeX: \frac{1}{8}\:1 8pound of trail mix. How many bags of trail mix can Jackson fill?
Answers
Answer:
6 bags will be filled
Step-by-step explanation:
Here, we want to know the number of bags of trail that can be filled
From what we have in the question, each bag will hold 1/8 = 0.125
So we want 0.75 split into smaller bits of 0.125 each
The number of possible fillings will be;
0.75/0.125 = 6
A group of friends are playing a board game. As part of the game, each player is given the same number of cards. There are 6 players and 58 cards. How many cards will each player get if each player gets the same number of cards?
Answers
Answer: Each player will get 9 cards
Step-by-step explanation:
Given, there are 6 players and 58 cards.
i.e. Total players = 6 and total cards = 58
If each player is given the same number of cards, then by the division operation the number of cards each player will get = ( total cards) ÷ ( total players)
\(=58\div6\)
\(=9\dfrac{2}{6}\)
Hence, each player will get 9 cards ( 2cards will be left).
Consider the following regression on 110 college students:
Estimated(Studenth) = 19.6 + 0.73(Midparh) , R2 = 0.45, SER = 2.0
Standard errors are as hereunder:
SE(intercept) = (7.2)
SE(Midparh) = (0.10)
(Values in parentheses are heteroskedasticity-robust standard errors).
where "Studenth" is the height of students in inches, and "Midparh" is the average of the parental heights.
(a) Using a t-test approach and 5% level of significance, test if slope coefficient can be positive. Make sure you write both hypothesis claims properly.
(b) If children, on average, were expected to be of the same height as their parents, then this would imply that the coefficient of intercept becomes zero and the coefficient of slope will be 1:
(i) Test if the coefficient of intercept is zero at 1% level of significance.
(ii) Test if the slope coefficient is 1 at 5% level of significance.
(Note: the statistical table is attached hereto)
(c) Repeat part (B)-(i) using the p-value approach.
(d) Repeat part (B)-(ii) using the p-value approach.
Please answer all 4 parts, a, b, c and d.
Answers
(a) Using a t-test approach and a 5% level of significance, the slope coefficient is significantly positive.
(b) (i) The coefficient of intercept is significantly different from zero at a 1% level of significance.
(ii) The slope coefficient is significantly different from one at a 5% level of significance.
(c) The p-value for the coefficient of intercept is less than 0.01, providing strong evidence against the null hypothesis.
(d) The p-value for the slope coefficient is less than 0.05, indicating a significant deviation from the value of one.
(a) To test if the slope coefficient can be positive, we can use a t-test approach with a 5% level of significance. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The slope coefficient is zero (β1 = 0)
Alternative hypothesis (Ha): The slope coefficient is positive (β1 > 0)
We can use the t-statistic to test this hypothesis. The t-statistic is calculated by dividing the estimated coefficient by its standard error. In this case, the estimated coefficient for the slope is 0.73, and the standard error is 0.10 (based on the heteroskedasticity-robust standard error).
t-statistic = (0.73 - 0) / 0.10 = 7.3
Looking up the critical value in the t-table at a 5% level of significance for a two-tailed test (since we are testing for positive coefficient), we find that the critical value is approximately 1.660.
Since the calculated t-statistic (7.3) is greater than the critical value (1.660), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the slope coefficient is positive.
(b) (i) To test if the coefficient of intercept is zero at a 1% level of significance, we can use a t-test. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The coefficient of intercept is zero (β0 = 0)
Alternative hypothesis (Ha): The coefficient of intercept is not equal to zero (β0 ≠ 0)
Using the same t-test approach, we can calculate the t-statistic for the intercept coefficient. The estimated coefficient for the intercept is 19.6, and the standard error is 7.2.
t-statistic = (19.6 - 0) / 7.2 ≈ 2.722
Looking up the critical value in the t-table at a 1% level of significance for a two-tailed test, we find that the critical value is approximately 2.626.
Since the calculated t-statistic (2.722) is greater than the critical value (2.626), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the coefficient of intercept is not equal to zero.
(ii) To test if the slope coefficient is 1 at a 5% level of significance, we can use a t-test. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The slope coefficient is 1 (β1 = 1)
Alternative hypothesis (Ha): The slope coefficient is not equal to 1 (β1 ≠ 1)
Using the t-test approach, we can calculate the t-statistic for the slope coefficient. The estimated coefficient for the slope is 0.73, and the standard error is 0.10.
t-statistic = (0.73 - 1) / 0.10 ≈ -2.70
Looking up the critical value in the t-table at a 5% level of significance for a two-tailed test, we find that the critical value is approximately 2.000.
Since the calculated t-statistic (-2.70) is greater in magnitude than the critical value (2.000), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the slope coefficient is not equal to 1.
(c) Using the p-value approach for part (b)-(i), we compare the p-value associated with the coefficient of intercept to the chosen level of significance (1%). If the p-value is less than 0.01, we reject the null hypothesis.
(d) Using the p-value approach for part (b)-(ii), we compare the p-value associated with the slope coefficient to the chosen level of significance (5%). If the p-value is less than 0.05, we reject the null hypothesis.
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answer this question step by step
Answers
I hope this help you
The table for the quadratic functions f(x) and g(x) are given.
x f(x) g(x)
−4 16 4
−2 4 1
0 0 0
2 4 1
4 16 4
Determine the type of transformation and the value of k.
g of x equals one fourth time f of x
g of x equals f of one fourth times x
g(x) = 4f(x)
g(x) = f(4x)
Answers
Answer:
Since g(x) = 1/4f(x), we have that g(x) is a horizontal stretch of f(x) by a factor of 4. This means that g(x) is narrower than f(x), and it has a wider range since it covers a smaller interval on the x-axis.
The value of k in this case is 0, since both f(0) and g(0) are equal to 0.
Therefore, the transformation from f(x) to g(x) is a horizontal compression by a factor of 1/4, and k=0.
Step-by-step explanation:
Answer:
g(x) = f(4x)
Step-by-step explanation:
It worked for my test.
Angle A is the complement of angle B. If tan A = 4/5, tanB = _____.
Answers
Answer:
5/4
Step-by-step explanation:
2/3 p + 3 p = 3/5.
]
njwtbiuerwgj
Answers
Answer:
p = 9/55
Step-by-step explanation:
2/3p + 3p = 3/5.
2/3p + 9/3p = 3/5
11/3p = 3/5
Divided both sides by 11/3
p = 9/55
If you can, please give me a Brainliest, thank you!
Solve the equation
h +0.9 = 5.1
A: h = 4.59
B: h = 4.2
C: h = 5.1
D: h = 6
Answers
Answer:
B. h=4.2
Step-by-step explanation:
h + 0.9 = 5.1
To get the h by itself, we can subtract 0.9 from both sides of the equation.
h = 4.2
This will leave us with h=4.2
Answer:
the answer is B
Step-by-step explanation:
h+0.9=5.1
4.2
+
0.9=5.1
Calculate the length of the missing side
The whole surface area: 297^2
Answers
Answer:
Length is approximately 7.073 m
Step-by-step explanation:
One of the formulas we can use for surface area of a triangular prism is:
SA = bh + L(s1 + s2 + s3), where
SA is the surface area in square units,b is the base of the triangle,h is the height of the triangle,L is the length of the prism (i.e., side connecting two triangles),and s1, s2, and s3 are the three sides of the triangleSo far, we know that the surface area is 297 and the height is 8.7.
Step 1: We see that the line indicating the height splits the larger triangle into two right triangles, Thus, we can find the base of one of the right triangles using the Pythagorean theorem and multiply this by 2 to find the measure of the entire base.
The Pythagorean theorem is:
a^2 + b^2 = c^2, where
a and b are the shorter legs,and c is the longest leg, known as the hypotenuse (always opposite the right angle)We have the measure of one leg (8.7 m) and the hypotenuse (10 m) and we must solve for leg:
a^2 + 8.7^2 = 10^2
a^2 + 75.69 = 100
a^2 = 24.31
a = √24.31 m
Multiplying this by 2 gives us that the measure of the entire base is 2√24.31 m.
Step 2: Now we can plug in 297 for sa, 2√24.31 for b, 8.7 for h, and 10, 10, and 2√24.31 for s1, s2, and s3 respectively. This will allow us to solve for L, the length of the triangular prism:
\(297 = (2\sqrt{24.31})(8.7)+L(10+10+2\sqrt{24.31})\\ 297=(17.4\sqrt{24.31})+L(20+2\sqrt{24.31} \\297-(17.4\sqrt{24.31})=L(20+2\sqrt{24.31})\\ (297-(17.4\sqrt{24.31}))/(20+2\sqrt{24.31})=L\\ 7.073063761=L\\ 7.073=L\)
Thus, the length of the missing side is approximately 7.073 m
Optional Step 3: We can check that we've found the correct length of the missing side by plugging in 7.073 for L in the surface area formula and checking that we get 297 (or at least something very close to it):
297 = (2√24.31)(8.7) + 7.073(10 + 10 + 2√24.31)
297 = (17.4√24.31) + 7.073(20 + 2√24.31)
297 = (17.4√24.31) + 141.46 + 14.146√24.31
297 > 296.998096
You get approximately the same answer since we rounded the length to the nearest thousandth. If you were to plug in a more exact answer like ((297 - (17.4√24.31)) / (20 + 2√24.31) for L, you'd get exactly 297 as I plugged this in for L on my TI-84 and got 297 exactly.
Un carpintero construyó bancos con tres patas y sillas con cuatro patas. Sí en total hay 43 asientos y 147 patas, ¿cuantos bancos y sillas hay? resuelvelo por el método de sustitución
Answers
Solving a system of equations we can see that there are 14 chairs and 29 benches.
How many chairs and how many benchs are there?First we can define the variables:
x = number of chairs.y = number of benchsWe know that there there are a total of 43 seats, then:
x + y = 43
And there is a total of 147 legs, then:
x*4 + y*3 = 147
Then we have a system of equations:
x + y = 43
x*4 + y*3 = 147
We can isolate x on the first equation:
x = 43 - y
Replacing that in the other equation we will get:
(43 - y)*4 + y*3 = 147
Solving this for y:
172 - y = 147
172 - 147 = y
29 = y
So there are 29 benches, and.
x = 43 - 29 = 14 chairs.
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Ted tried to evaluate the expression 21 divided by 3 plus 5 times 3 is his work correct
Answers
Ted's work to evaluate the expression 21 ÷ 3 + 5* 3 is incorrect, as he evaluated the division before the multiplication. He follow the wrong order of operations. The correct answer is 22, not 36.
Ted's work is incorrect. In step 1, he evaluated the division before the multiplication, which is incorrect according to the order of operations (PEMDAS). According to the order of operations, multiplication and division should be done before addition and subtraction. Therefore, the correct way to evaluate the expression is as follows:
21 ÷ 3 + 5 * 3
= 7 + 15 (evaluating multiplication before addition)
= 22
Thus, the correct answer is 22, not 36 as Ted calculated. It is important to follow the order of operations in order to arrive at the correct answer.
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_____The given question is incomplete, the complete question is given below:
Ted tried to evaluate the expression 21 ÷ 3 + 5* 3. Here, is his work:
21 ÷ 3 + 5* 3
= 7 + 5 * 3 step 1
= 12 * 3 step 2
= 36
Is his work correct?
Two step inequalities:
The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?
Answers
Answer:
67 tickets (with $5 extra)
Step-by-step explanation:
1000÷15= Number of tickets
Solve for x: x/3= 7
x= 21
x= 12
x= 7/3
x= 11
NEXT QUESTION
Answers
21 divided by 3 is 7
Answer:
x= 21
Step-by-step explanation:
\( \frac{x}{3} = 7 \\ \\ multiply \: both \: sides \: by \: 3 \\ \\ 3 \times \frac{x}{3} = 3 \times 7 \\ \\ \implies \cancel 3 \times \frac{x}{\cancel 3} = 21 \\ \\ \implies \: x = 21\)
The price of a Year 7 mathematics textbook is $60. The store gives a discount of 20% on the textbook.
You have $50 to spend. Would you be able to buy the textbook? Explain.
Answers
Answer:
yes,you can buy the textbook
Step-by-step explanation:
determine discount
60 × 0.2(decimal form of 20%)
=12
apply discount
60-12
=48
50>48✓
In a school, there are 383 students. 142 of those students are in Grade 6.
What is the ratio
of Grade 6's to students not in Grade 6?
Answers
Explanation:
There is a total of 383 students. 142 of them are in grade 6, which means that 241 of them are not.
The ratio is grade 6:not grade 6 so it would be 142:241.
You could leave your answer like this, or simplify it to 0.59:1.
Answer:
142/383
Step-by-step explanation:
Paul cut a rectangular piece of paper. He then cut off a semi-circular piece from each end, as shown below. What is the area of the remaining paper? Use 3.14 for
Answers
Step-by-step explanation:
Area of remaining paper
= Area of rectangle - 2 * Area of semicircle
= Area of rectange - Area of circle
= (4in * 8in) - (π * 2in * 2in)
= 32in² - 4πin²
= 19.44in². (A)
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.
Answers
To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
The cost price per pound is the amount of money required to buy one pound of a brand or goods.
To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.
At one farmer’s market, bananas cost $0.80 per pound.
At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.
The cost of one bag in this market is,
\(C=\dfrac{4.50}{5}\\C=0.5625\)
As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.
Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
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