Directions: Identify the slope (m) and y-intercept (b) of the graph of each equation.
y = -3x– 11
Answers
Answer:
slope=-3 y inter=-11
Step-by-step explanation:
Answer:
Slope: -3
y-intercept: (0, -11)
Step-by-step explanation:
Related Questions
Place the numbers 2,4,6,8,10,12, 14, 16,18 in the squares below so that the sum of the numbers in every column, row, and diagonals is equal to 30.
Answers
The way the numbers will be placed in the square box will be:
First row = 4 12 14
Second row = 2 10 18
Third row = 6 8 16
How to illustrate the information?It should be noted that the question is simply about adding the numbers and getting 39 in each place.
This will be:
First row = 4 12 14 = 4 + 12 + 14 = 30
Second row = 2 10 18 = 2 + 10 + 18 = 30
Third row = 6 8 16 = 6 + 8 + 16 = 30
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Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answers
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
Which of the following expressions is equal to -x2 -36
OA. (-x+6)(x-6i)
OB. (x+6)(x-6i)
OC. (-x-6)(x-6i)
OD. (-x-6)(x+6i)
Answers
The expression equivalent to -x² - 36 is the one in option C.
(-x - 6i)*(x - 6i)
Which of the following expressions is equal to -x² - 36?We can rewrite the given expression as:
-x² - 36 = -x² - 6²
And remember that the product of a complex number z = (a + bi) and its conjugate (a - bi) is:
(a + bi)*(a - bi) = a² + b²
Then in this case we can rewrite:
-x² - 6² = -(x² + 6²) = - (x + 6i)*(x - 6i)
= (-x - 6i)*(x - 6i)
The correct option is C.
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a) 6, 8, 12, 20, 36, 68,?
Answers
Answer:
numbers
Step-by-step explanation:
Question is present in the image
Answers
The equation that is equivalent to P = B + Brz is:
r = (P - B) / Bz
To see why, we can rearrange the original equation as follows:
P = B + Brz
P - B = Brz
(P - B) / Bz = r
Therefore, r = (P - B) / Bz is equivalent to P = B + Brz.
Now let's check the given options:
x = P/Br + 1/r
This equation is not equivalent to P = B + Brz.
r = (P - B) / Bz
This is the correct equation that is equivalent to P = B + Brz.
r = Bz / (P - B)
This equation is not equivalent to P = B + Brz.
B = P / (rz + 1)
This equation is not equivalent to P = B + Brz.
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I need help please.
Answers
Answer:
Not a function.
Step-by-step explanation:
The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.
Write the rate as a fraction in lowest terms.
6 persons for 40 dresses
Answers
The fraction formed in the lowest form is \(\frac{3}{20}\)
What are fractions?
Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be entire. When we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. The fraction was expressed verbally in earlier times. It was afterward presented in numerical form.
A piece or sector of any quantity is another name for the fraction. It is indicated by the sign "/," such as a/b. For instance, in the fraction 2/4, the lower part represents the denominator, and the top part the numerator.
In the given question, we have:
6 persons for 40 dresses;
So, here
The numerator is 6;
and,
The denominator is 40;
So, The fraction that will be formed is: \(\frac{6}{40}\)
In order to simplify to the simplest form, we have to divide it by the common divisor of 6 and 40.
So,
The fraction formed in the lowest form is \(\frac{3}{20}\)
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whats the answer to 10=z+6
Answers
Answer:
The value of 'z' in given equation is 4.
Step-by-step explanation:
Solving this problem entails of identifying the value of the variable in the equation provided. We can solve this in one simple step. This step is what is known as the subtraction property of equality. Perform this operation by subtracting six from both sides of the equation.
10 = z + 6
10 - 6 = z + 6 - 6
4 = z
It's always best to represent the value of 'z' with 'z' displayed on the left side of the equation.
4 = z
z = 4
We have now reached the 'point of no return' or the point of the equation where we can no longer simplify it any further. This shows that the value of the variable is 4.
Answer:
z=4
Step-by-step explanation:
10 = z+6
Subtract 6 from each side
10-6 = z+6-6
4 =z
Find the number of real number solutions for the equation.
x2 + 26 = 0
2
1
0
Answers
Answer:
0
Step-by-step explanation:
x² + 26 = 0 ( subtract 26 from both sides )
x² = - 26 ( take square root of both sides )
x = ± \(\sqrt{-26}\)
\(\sqrt{-26}\) ← has no real solutions
Answer:
0
Step-by-step explanation:
Look above goofy, have a good day!
NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS
Answers
The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively
How to calculate the value of the missing sides of the given triangle?Triangle PQS is congruent with triangle PRS
Therefore, PQ = PR
That is;
PQ = 8
PR = 2x
8 = 2x
X = 8/2 = 4
PR = 2(4) = 8
For ST;
Triangle VST = VUT
That is, TU = ST
ST = 5z
TU = 2z+3
5z = 2z+3
5z+2z = 3
z= 3/3 = 1
ST = 5(1) = 5
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Find the exact value of (7\pi )/(6)) by using the unit circle.
Answers
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
Answers
So, the coordinates of the image of the point (-4,-5) after reflecting over the y-axis are:
x-coordinate: -4 (remains the same)
y-coordinate: 5 (becomes the opposite of the original y-coordinate, -5)
Therefore, the coordinates of the image are (-4, 5).
The ratio of boys to girls in a group is 2:1. If there are 18 more boys than girls, work out how many girls there are.
Answers
Let’s use the variable g to represent the girls. This ratio shows that there are twice as many boys as girls (boys=2g)We also see that there are 18 more boys that girls. Let’s set up an equation
g+18=2g
We subtract 18 from both sides
g=2g-18
We subtract 2g from both sides.
-g=-18
We divide both sides by -1
g=18
Therefore, there are eighteen girls.
I hope that this helps! Have a wonderful day!
1. What happened when you had a negative plus a negative, (-a) + (-b)?
I
2. What happened when you had a positive plus a negative, a + (-b)?
***Is this the same as a positive minus a positive, a - b?
3. What happened when you had a positive minus a negative, a - (-b)?
4. What happened when you had a negative minus a negative, (-a) - (-b)?
Answers
Answer:
See Explanation
Step-by-step explanation:
1.
What happens when negative adds to negative; e.g (-a) + (-b)
First, we need to simplify the expression
\((-a) + (-b)\)
Open the brackets
\(-a - b\)
Factorize
\(-(a+b)\)
So, what happens is that: the two numbers are added together and the result is negated;
E.g.
\((-5) + (-3) = -(5 + 3) = -8\)
2.
What happens when positive is added to negative; e.g. a + (-b)
First, we need to simplify the expression
\(a + (-b)\)
Open the brackets
\(a - b\)
So, what happens is that: the negative number is subtracted from the positive number
And Yes; \(a + (-b)\) is the same as \(a - b\) (As shown above)
E.g.
\(5 + (-3) = 5 - 3 =2\)
3.
What happens when to positive minus a negative; e.g. a - (-b)
First, we need to simplify the expression
\(a - (-b)\)
Open the brackets
\(a + b\)
So, what happens is that; the two numbers are added together.
E.g.
\(5 - (-3) = 5 + 3 = 8\)
4.
What happens when negative minus a negative; e.g. (-a) - (-b)
First, we need to simplify the expression
\((-a) - (-b)\)
Open the brackets
\(-a + b\)
Reorder
\(b - a\)
So, what happens is that; the first number is subtracted from the second.
E.g.
\((-5) - (-3) = 3-5 = -2\)
Add 5y - 9 and 2 - 5y
Answers
Answer:
5y - 9 + 2 -5y =
Step-by-step explanation:
5y - 9 + 2 - 5y
= 5y - 5y - 9 + 2
= -7
(As + 5y and - 5y cancel out)
Julie was testing how far two new electric cars—model A and model B—could drive on a full charge. She obtained a sample of 5 55 new cars of each model, charged them fully, and drove them as far as she could along a controlled route. Here is a summary of the distances: Distance Model A Model B Mean 168 km 168 km168, start text, space, k, m, end text 172 km 172 km172, start text, space, k, m, end text Standard deviation 5.4 km 5.4 km5, point, 4, start text, space, k, m, end text 7.5 km 7.5 km7, point, 5, start text, space, k, m, end text Number of cars 5 55 5 55 Julie wants to use these results to test H 0 : μ A − μ B = 0 H 0 : μ A −μ B =0start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, equals, 0 versus H a : μ A − μ B ≠ 0 H a : μ A −μ B =0start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, does not equal, 0. Assume that these are representative samples and all other conditions have been met. What is the P-value associated with these sample results? Choose 1 answer: Choose 1 answer: (Choice A) P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 A P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 (Choice B) 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 B 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 (Choice C) 0.05 ≤ P -value < 0.10 0.05≤P-value<0.100, point, 05, is le
Answers
The p value based on the information will be E. P - value ≥ 0.20
How to compute the valueOpen Minitab 17. Select 'Stat' -> 'Basic Statistics' -> '2 - Sample t... Select 'Summarized data' from the dropdown menu.
Enter 5 in both Sample size of sample 1 and sample 2, 168 and 172 in Sample mean of Sample 1 and Sample 2. 5.4 and 7.5 in Standard deviation of Sample 1 and Sample 2.
Click on 'Options' and Enter 'Confidence level' 95.0(or the given Cofidence level) , 'Hypothesized difference' 0.0 , 'Alternative hypothesis' 'Difference \\neq Hypothesized difference'. Also the box 'Assume equal variance' can be ticked as requirement.
Click on 'Ok' -> 'Ok'.
Output: -
P - value = 0.361 i.e., P - value ≥ 0.20
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Jose bought six boxes of cereal and 3 pounds of apples at the local
market.
Each box of cereal cost $2.37
One pound of apples cost $4.10
How much money did Jose spend at the market?
Answers
Answer: $26.52
Step-by-step explanation:
1 Box of cereal is $2.37 so 6 boxes is equal to 6 * $2.37 = $14.22
1 Pound of apples is $4.10 so 3 pounds is equal to 3 * $4.10 = $12.30
Total = $14.22 + $12.30 = $26.52
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticketand one same-day ticket is $65. For one performance, 25 advance tickets and 30 same-day tickets were sold. The totalamount paid for the tickets was $1750. What was the price of each kind of ticket?Advance ticket: s[]Same-day ticket: s[]
Answers
Let's call a the price of advance tickets, and s the price of same-day tickets.
The combined price of one and one is $65. Then, we can establish the following equation:
\(a+s=65\)When 25 advance tickets and 30 same-day tickets were sold, the total amount paid for the tickets was $1750. Then, the sum of the total amount of money paid for advanced tickets (25a, the number of tickets paid multiplied by their price), and the total amount of money paid for the same-day tickets (30s, following the same logic), should add up to $1750. Representing that in an equation:
\(25a+30s=1750\)Now we have a system of two equations and two unknowns (the price for each kind of ticket).
We can solve the system by using the substitution method.
We can isolate one of the variables from the first equation, and then replace the expression on the second equation. Solving for s in the first equation:
\(s=65-a\)Now, we can replace that expression in the second equation instead of s:
\(25a+30\cdot(65-a)=1750\)Now we have one equation with only one unknown. We can easily solve now the value of a:
\(\begin{gathered} 25a+30\cdot65-30a=1750 \\ 25a-30a=1750-30\cdot65 \\ -5a=1750-1950 \\ a=\frac{-200}{-5} \\ a=40 \end{gathered}\)Then, the price of the advance ticket is $40.
Recalling that the combined price of one ticket of each class is $65:
\(a+s=65\)Replacing the price of the advance ticket and solving:
\(\begin{gathered} 40+s=65 \\ s=65-40 \\ s=25 \end{gathered}\)The price of the same-day tickets is $25
A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature of the project) in applying for a building permit. Let Y =the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is,p(y) = ky for y=1,….,5.
a. What is the value of k?
Answers
The probability that y forms are required is known to be proportional to y—p(y) = ky for y=1,….,5. where the value of k is 1/15.
The sum of all possible values of p(y) must equal to 1, so we can find k by using this property as follows -
1 = p(1) + p(2) + p(3) + p(4) + p(5)
= k * (1 + 2 + 3 + 4 + 5)
solving further, we get -
k = 1 / (1 + 2 + 3 + 4 + 5)
= 1 / 15
Hence, the value of k = 1/15.
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HELP WHAT DOES THIS EVEN MEAN
Answers
Answer:
59.5
Step-by-step explanation:
He is asking for angle A
cosA = adjacent/hypotenuse
= 33/65
we'll do shift cos(33/65) = 59.48 to bring A
Twenty air-conditioning units have been brought in for service. Twelve of them have broken compressors, and eight have broken fans. Seven units are chosen at random to be worked on. What is the probability that three of them have broken fans
Answers
Answer: 0.3576
Step-by-step explanation:
Let the probability that the units that have broken fans from the seven units chosen at random be x.
The probability that three of them have broken fans will be 0.3576. Check the attachment for details
Solve y = ax² + c for x.
O x
x= ± √ay-c
O
O
x = ±₁
X=
X=
у-с
a
y
y + c
a
Answers
In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)
A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.
To find the value of x
Assuming \(a\neq o\)
First, subtract c from both the sides to get:
\(y-c=ax^{2}\)
then, divide both sides by \(a\) and transpose to get:
\(x^{2} =\frac{y-c}{a}\)
So, \(x\) must be a square root of \(\frac{y-c}{a}\) and we can deduce:
\(x=\) ± \(\sqrt \frac{y-c}{a}\)
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Donna finished 67% of her homework. What fraction of her homework is
completed?
67/10
0.67/100
67/100
67/1000
Answers
Answer:
67/100
Step-by-step explanation:
Percent means out of 100.
67% = 67/100
Answer:
67/100
Step-by-step explanation:
When we say Donna has completed 67% of her homework, we are referring to a percentage, which is a way of expressing a part out of 100. In this case, the percentage is 67%.To convert a percentage to a fraction, we can simply write the percentage as a fraction with 100 as the denominator. In this case, since the percentage is 67%, the fraction would be 67/100.\(67\%=\dfrac{67}{100}\)Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answers
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
Which of the following correctly identifies the set of outputs?
{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}
Answers
y-values aka all the outputs
Complete the table of values for the equation 4x + 2y =64
Answers
The completed table of values for the equation 4x + 2y = 64 is provided .
To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.
Table of Values:
x y
0 32
4 28
8 24
12 20
16 16
20 12
24 8
28 4
32 0
To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)
By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)
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The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?
Answers
The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.
What is the rate of change of a function?The rate of change of a function is the rate at which the output value changes per unit change in the input value.
The possible data and table obtained from a similar question on the website are presented as follows;
Student A
Number of minutes; \({}\)1 2 3 4
Number of words read; 150 \({}\)300 450 600
Student B
y = 158·x
Where;
x = The time duration in minutes
y = The number of words read by the student
Student C
The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)
The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;
Reading rate for Student A = (300 - 150)/(2 - 1) = 150
The reading rate for Student A is 150 words per minute
The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute
The of the straight ling graph for the reading rate of Student C is found as follows;
Slope = (420 - 280)/(3 - 2) = 140
The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute
The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute
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what are three ratios that are equivalent to 8 5
Answers
Answer:
15:24, 20:32 and 40:64.
Step-by-step explanation:
hope this helps
Answer:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
Step-by-step explanation:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
i need help asap, please give the correct answer
Answers
Answer:
w = 6
Step-by-step explanation:
Midsegment theorem states that "a segment connecting midpoints of the two sides of a triangle is parallel and half in measure of the third side."
By this theorem,
ST = 2(PR)
w + 6 = 2w
(w + 6) - w = 2w - w
w = 6
Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
Answers
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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