Use intercepts to graph the linear equation −12x+y=−4.
Answers
Answer:
x-intercept=-1/3
y-intercept=-4
Step-by-step explanation:
Find the x-intercept by setting y to zero:
-12x+0=4
-12x=4
x= 4/(-12)
x= -1/3
Find the y-intercept by setting x to 0
-12(0) + y=-4
y=-4
Draw a line through the intercepts
Related Questions
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
Answers
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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Find the value of b. Round to the
nearest tenth.
A
19°
B
142°
b
b = [?]
42
C
![Find the value of b. Round to thenearest tenth.A19B142bb = [?]42C](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/ydQrLInMm6qRE3K93eAq7QjiD3Dul0H0.png)
Answers
Answer:
78.9
Step-by-step explanation:
Law of sines:\(\dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B} =\dfrac{c}{Sin \ C}\)
To find the value of b, we consider,
\(\dfrac{b}{Sin \ B}=\dfrac{a}{Sin \ A}\)
Substitute the value a, A and B,
\(\dfrac{b}{Sin \ 142^\circ}=\dfrac{42}{Sin \ 19}\\\\\\\dfrac{b}{0.62}=\dfrac{42}{0.33}\\\\\)
\(b =\dfrac{42}{0.33}*0.62\\\\\\b= 78.9\)
Answer:
79.4
Step-by-step explanation:
42/sin19 = b/sin142
b(sin19) = 42(sin142)
b = 42(sin142) / sin19 = 79.4
A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.
Answers
Answer:
24 is the number. The sum of its digits is 6.
Step-by-step explanation:
There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:
24 = 4 × 6 = 4 × (2 + 4)
y = 5 and x = -1
Is it parallel,perpendicular or neither
Answers
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
The polygons are similar. Solve for x.
scale factor from A to B = 3:5
Answers
Answer:
9
Step-by-step explanation:
if scale factor is 3/5, then
(x+12):35=3:5, ⇒
\(\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9\)
alg 2 - transformations of functions. need asap
(brainliest + 15 pts)
Answers
Answer:
\(y = f(x - 1) + 2\)
Step-by-step explanation:
Let's say that the dotted graph is y.
See f(3) = 0 or (3,0). Let's call that the point of interest. Notice that our point of interest has to move to the right by 1 unit to get to the dotted graph. so
\(y = f(x - 1)\)
And it has to go up by two units so
\(y = f(x - 2) + 2\)
-7 = z/-6
\( - 7 = \frac{z}{ - 6} \)
What is the answer?
Answers
-7 (-6) = z
42 = z
Z = 42
The radius of a right circular cone is increasing at a rate of 1.6 in/s while its height is decreasing at a rate of 2.2 in/s. At what rate is the volume of the cone changing when the radius is 135 in. and the height is 135 in.
Answers
Answer:
Step-by-step explanation:
let radius=r
height=h
dr/dt=1.6 in/s
dh/dt=-2.2 in/s
volume v=1/3 πr²h
dv/dt=1/3 π[h*2r×dr/dt+r²×dh/dt]
when r=135 in
h=135 in
dv/dt=1/3 π[2×135×135×1.6+135²×(-2.2)]
=1/3 π[135²(3.2-2.2)]
=1/3π135²×1
=6075 π in³/s
find the volume of the figure of each figure
Answers
Answer
1/2
Step-by-step explanation:
Number 1 what is the area below
Number 2 what is the area of the shape
Answers
Answer:
Step-by-step explanation:
In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2
First problem
A=4(13)+5(13-6)/2
A=69.5ft^2
Second problem
A=5(3)+(6-3)(5-2)/2
A=19.5m^2
The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen knows scores at her school are normally distributed and collects a random sample of 50 students in her graduating class. Give a 95% confidence interval for the population mean. Round to the nearest tenth.
Answers
In hypothesis testing, null hypothesis (H0) is a claim that the person conducting the research wants to test while an alternative hypothesis (H1) is a contradiction of the null hypothesis.
There are two types of tests in hypothesis testing is known.
One tailed test: In first tailed test, a claim that a parameter is greater than/ less than a value is being tested.
mean > value or mean < value.
Second tailed test: In a two tailed test, a claim that a value is equal to a value is tested,
mean = value.
Since we can see that Colleen is testing the claim that the average score of her class is the same as others against that it is different from others.
Hence, the null hypothesis is H0: mean = 514
and the alternative hypothesis is H1: mean ≠ 514
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Please help me answer this question, thanks!
Answers
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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For each image, determine if you have enough information to find the missing lengths. If so, find them. If not, explain why. 1. DE is parallel to AC. Find the lengths of DE || AC AC and AD. B 2 D t 5 E 6
Answers
The length of AC is 12.5 and the length of AD is 3.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees
Given triangle ABC,
and D is a point on AB and E is a point on AC,
and forms a triangle ADE,
and DE is parallel to AC,
taking ΔABC and ΔBDE
∠B = ∠B (common angle)
because DE is parallel to AC, so corresponding angles are equal,
so ∠A = ∠D
and ∠C = ∠E
ΔABC ≈ ΔBDE (triangles are similar)
since both triangles are similar the ratio of their corresponding sides is equal,
AB/BD = AC/DE = BC/BE
given BD = 2, BE = 4, DE = 5 and EC = 6
BC = EC + BE = 4 + 6
BC = 10
AC/DE = BC/BE
AC = 5(10/4)
AC = 12.5
and AB/BD = BC/BE
AB = 2(10/4)
AB = 5
AD = AB - BD
AD = 5 - 2
AD = 3
Hence AC = 12.5 and AD = 3.
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The figure is in image.
Identify which of the following representations are functions. If not a function state how you would fix it to make it a function.
1. D = (4, -1), (3, -6), (2, -1), (1, 2), (0, 4), (2, 5)
2. The number of calories you have burned since midnight at any time of the day.
Answers
Answer:
1. Not a function: the x input is repeated twice.
2. https://brainly.com/question/5008648
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Choose the system of inequalities that best match the graph below.
Answers
The system of the linear inequality that fulfill the condition of the graph will be y ≥ 2x – 1 and y ≤ 1/3 x + 1. Then the correct option is A.
The complete question is attached below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The system of the linear inequality that fulfill the condition of the graph will be
y ≥ 2x – 1
y ≤ 1/3 x + 1
Then the correct option is A.
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Which expression is equival 81 1/3?
Answers
Answer: 3^3 Square root 3
Step-by-step explanation:
i just really need a help guys thank u mwa
Answers
Answer:
See below
Step-by-step explanation:
My man, how did you even get these numbers??? no whole number multiplied by 6.65 even equals 22??? Regardless, here's what I did.
a) r = 40/2 = 20
A = πr^2 = (3.14)(20)^2 = 1256
b) 1256/50 = 25.12 basically, 26
c) 26 x 6.65 = 172.9
Thoughts and prayers my guy. Keep trying
Answer:
A. 1256\(ft^{2}\) B. 26 pounds C. $172.90
Step-by-step explanation:
PART A
1st find the radius of the area
radius = diameter / 2
r = 40/2
radius = 20ft
Area of circle = radius^2* pi
Area = 400 * 3.14
Area = 1256 \(ft.^{2}\)
PART B
1256 / 50 = 25.12
Because we can only buy full pounds and we need the whole area to be reseeded, we round 25.12 to 26.
26 pounds of seeds will be needed to reseed the whole area.
PART C
Multiply the number of pounds of seeds needed to be bought by 6.65
26 x 6.65
$172.90 for the total cost of grass seeds
Please explain your answer. Will mark Brainliest (question 9)
Answers
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Consider the following hypothesis test.
H0: = 20
Ha: μ ≠ 20
A sample of 167 items will be taken and the population standard deviation is 9.31.
Compute the p-value for the following if the sample means.
mean is:
a. 18.0
b. 21.8
c. 21.3
Answers
According to given information the p-value for each sample mean is:
a. 0.001 b. 0.001 c. 0.074
What is meant by p-value?
In statistics, the p-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the results.
To compute the p-value for each sample mean, we need to first calculate the corresponding z-score using the formula:
z = (x - μ) / (σ / \(\sqrt{(n)\))
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
a. For x = 18.0, the z-score is:
z = (18.0 - 20) / (9.31 / \(\sqrt{(167)\)) = -3.28
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.001.
b. For x = 21.8, the z-score is:
z = (21.8 - 20) / (9.31 / \(\sqrt{(167)\)) = 3.28
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.001.
c. For x = 21.3, the z-score is:
z = (21.3 - 20) / (9.31 / sqrt(167)) = 1.79
Using a standard normal distribution table or calculator, we can find that the corresponding p-value is approximately 0.074.
Therefore, sample of 167 items will be taken and the population standard deviation is 9.31 has the p-value for each sample mean is:
a. 0.001
b. 0.001
c. 0.074
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What is g(f(1)) using the table?
Answers
Answer:
?
Step-by-step explanation:
can you explain it a little better?
Calculate the surface area
Answers
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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Which equation descibes the pattern shown in the table?
Answers
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Answers
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
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In the given figure, ABCD is a rectangle, AO = 5 cm and AB = 6 cm then find the measures of BD and BC.
Answers
Answer:
Step-by-step explanation:
AO=AC=5cm
=> AC=10cm
BD=AC=10cm
Answer:
BD = 10 cm
AB = 6 cm
Step-by-step explanation:
I will give Brainliest, please help. I need this now :)
Answers
Answer:
the scale factor is 4 as from the table
A salesperson rent a car for a work trip. The rental car company charges the salesperson $25 each day and a flat fee of $100 for insurance.
If the salesperson is charged a total of $225 to rent the car for 2 days, which statement is true?
The equation 25% + 100 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
The equation 252 + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
The equation 100:1 + 25 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
O The equation 100.0 + 25
225 can be used to find, and the salesperson rents the car for exactly 5 days.
Answers
The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
Let the number of days used to rent the car be zIf the rental car company charges the salesperson $25 each day, the total charges for "z" days will be $25zIf a flat fee of $100 for insurance is added and the salesperson is charged a total of $225 for "z" days, hence the required equation that represents this statement is expressed as:
Rental charges for "z" days + $100 = total charge25z + 100 = 225The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
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Sally leaves her house and jogs along a straight road. After one hour she has gone 4 miles. Then, Sally slows to a brisk walk at a constant rate. After the first hour of walking in the same direction, Sally is 6.5 miles from her house. How many miles from her house will she be after two more hours of walking?
Answers
Answer:
I'm pretty sure its 11.5
Answer:
11.5 mi.
Step-by-step explanation:
First, you figure out how much miles Sally has gone by walking.
6.5-4=2.5 mi.
You use the distance formula: d(distance)=r(rate)xt(time)
2.5 mi.=Rx1 hr.
rate=2.5 mi/hr.
To figure out how many miles Sally will be from her house after two more hours of walking, you use the distance formula again.
d=2.5mi/hrx2 hr.
d=5.0 mi(2.5x2)
6.5mi+5.0mi=11.5 mi total
What is the next number of the sequence 0.99, 9.9, 99, 990, 9900 ____
Answers
Answer:
99000
Step-by-step explanation:
it can be seen that in the sequence every next value differs by a decimal place through moving the decimal or adding zeros towards the right. In other words, every term is multiplied by 10 to get the next comsecutive term. Therefore, if we put another zero in the end of 9900 or multiplu it by 10 we get 99000 which is our answer.
0.99, 9.9, 99, 990, 9900, 99000.
hope that helps...
Which of the following is NOT a linear factor of the polynomial function?
f (x) = x^3 – 5x^2 - 4x + 20
F. (x + 5)
G. (x - 2)
H. (x - 5)
J. (x + 2)
Answers
Answer:
Among the four choices, \((x + 5)\) is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let \(a\) denote some constant. A linear factor of the form \((x - a)\) is a factor of a polynomial \(f(x)\) if and only if \(f(a) = 0\) (that is: replacing all \(x\) in the polynomial \(f(x) \!\) with the constant \(a\!\) would give this polynomial a value of \(0\).)
For example, in the second linear factor \((x - 2)\), the value of the constant is \(a = 2\). Verify that the value of \(f(2)\) is indeed \(0\). (In other words, replacing all \(x\) in the polynomial \(f(x) \!\) with the constant \(2\) should give this polynomial a value of \(0\!\).)
\(\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}\).
Hence, \((x - 2)\) is indeed a linear factor of polynomial \(f(x)\).
Similarly, it could be verified that \((x - 5)\) and \((x + 2)\) are also linear factors of this polynomial function.
Rewrite the first linear factor \((x + 5)\) in the form \((x - a)\) for some constant \(a\): \((x + 5) = (x - (-5))\), where \(a = -5\).
Calculate the value of \(f(5)\).
\(\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}\).
\(f(5) \ne 0\) implies that \((x - (-5))\) (which is equivalent to \((x + 5)\)) isn't a linear factor of this polynomial function.