a graph of a linear equation passes through (-2,0) and (0,-6)1. Use 2 points to sketch the graph of the equation2. is 3x-y=-6 an equation for this graph? (Yes or no question)3. Explain your reason of how you know
Answers
1) So we can graph the point and join the points with a line so:
2) we can rewrite the equation in the form slope intercept so:
[tex]\begin{gathered} 3x-y=-6 \\ y=3x+6 \end{gathered}[/tex]So the answer is NO
3) because the intercept with the y axis is -6 no 6 so for that reason we know that is not the function
Related Questions
a blueprint for a house has a scale factor of 1 inch 3 ft. a wall in the blueprint is 5 in what is the length of the actual wall in feet
Answers
15 ft
Explanation
you can easily solve this by using a rule of three
Step 1
Let x represents the actual length of the wall in feet
is
[tex]1\text{ inc}\rightarrow3\text{ ft}[/tex]then
[tex]5\text{ in}\rightarrow x[/tex]as the proportion is the same
[tex]\begin{gathered} \frac{1}{3}=\frac{5}{x} \\ \text{cross multiply} \\ x\cdot1=5\cdot3 \\ x=15\text{ ft} \end{gathered}[/tex]so, the answer is 15 ft
I hope this helps you
what is the value of x in the equation 2.5 - 0.25x - -3
Answers
The given equation is expressed as
2.5 - 0.25x = -3
Subtracting 2.5 from both sides of the equation, we have
2.5 - 2.5 - 0.25x = -3 - 2.5
- 0.25x = - 5.5
Dividing both sides of the equation by - 0.25, we have
- 0.25x/- 0.25 = - 5.5/- 0.25
x = 22
Calculator B В What is the measure of D? 25 ft Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. © 45 ft D mD =
Answers
Given data:
The given right angle triangle.
The expression for tan(D) is,
[tex]\tan (D)=\frac{BC}{DC}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} \tan (D)=\frac{25\text{ ft}}{45\text{ ft}} \\ D=\tan ^{-1}(\frac{25}{45})^{} \\ =29.05^{\circ} \end{gathered}[/tex]Thus, the value of angle D is 29.05 degrees.
Point A is located at coordinates (-4,3). у. А 2 1 -3 -2 2. 3 $ X 1 2 3 What are the coordinates of each point? 1. Point B is the image of A after a rotation of 180° using (0,0) as center. 2. Point C is the image of A after a translation two units to the right, then a reflection using the c-axis. 3. Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.
Answers
1. The rotation of a point in 180 degrees is given by reflecting both of its coordinates. In this case the original point is (-4, 3), so the rotated point will be (4, -3).
2. When we reflect a point around the x-axis we need to invert the signal of the y-coordinate. When we make a translation to the right we need to add the number of units to the x-coordinate of the point, therefore.
Translation:
A' = (-4 + 2, 3) = (-2, 3)
Reflection x-axis:
C = (-2, -3)
3. When we reflect a point around the y-axis we invert the signal of x-coordinate. To perform a translation to the right we add the number of units to the x-coordinates, therefore:
Reflection y-axis:
A'' = (4, 3)
Translation:
D = (4 + 2, 3) = (6,3)
The probability is
(Round to four decimal places as needed.)
Points: 0 of 1
Save
Assume that when human resource managers are randomly selected, 43% say job applicants should follow up within
two weeks. If 7 human resource managers are randomly selected, find the probability that at least 2 of them say job
applicants should follow up within two weels.
Answers
Using the binomial distribution, it is found that there is a 0.7873= 78.73% probability that at least 2 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
P(X = x) = Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ
Cₙ,ₓ = n!/x!
The parameters are:
n is the number of trials.
x is the number of successes.
p is the probability of a success on a single trial.
In this problem:
43% say job applicants should follow up within two weeks. If 7 human resource managers are randomly selected, n = 8
The probability that at least 2 of them say job applicants should follow up within two weeks is P(X≥2), which is given by,
P(X≥2) = 1 - P(X < 2)
In which:
P(X<2)=P(X=0)+P(X=1)
Then,
P(X=x) = Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ
P(X=0) = C₇,₀.(0.43)°.(0.57)⁷ = 0.0195
P(X=1) = C₇,₁.(0.43)¹.(0.57)⁶ = 0.1032
P(X<2) = P(X=0)+P(X=1)
= 0.0195+0.1032
= 0.2127
P(X≥2) = 1-P(X<2)
= 1 - 0.2127
= 0.7873
0.7873 = 78.73% probability that at least 2 of them say job applicants should follow up within two weeks.
Hence we get the probability as 78.73%.
Learn more about Permutations and Combinations here:
brainly.com/question/25166697
#SPJ9
Which of the following numbers is irrational?Select all that apply.(A)8/9(B)pi(C)2.3(Recur)(D)1.5
Answers
Answer:
B) π
Definition
A number is said to be Irrational if it cannot be expressed as a terminating or repeating decimal.
[tex]\begin{gathered} \frac{8}{9}=0.8888888\cdots=0.\bar{8} \\ 2.\bar{3}=2.3333333\cdots \\ \pi=3.1415926535\cdots \end{gathered}[/tex]From the given options
• Option A when converted to a decimal number is a repeating decimal.
,• Option C is also a repeating decimal
,• Option D (1.5) is a Terminating decimal.
Therefore, the only number which is Irrational is π since it neither terminates nor repeats (or recur).
Problems 20 - 23. Analytically determine what type(s) of symmetry, if any, the graph of the equation would possess. Show your work.21) y^2 - xy = 6
Answers
Because of gthe graph I conclude that the graph is simmetric about the origin.
f(x)=(0.13x⁴+0.22x³)-0.88x²-0.25x-0.09for this polynomial use a graph and find the minimum and maximum values written as coordinates
Answers
The given function is:
[tex]f(x)=0.13x^4+0.22x^3_{}-0.88x^2-0.25x-0.09[/tex]The graph for the polynomial f(x) is shown below:
There were 24 participants in a recent study on personality traits. After being shown five images (1, 2, 3, 4, and 5), each participant selected the one that was most appealing to them. (a) The image each participant selected appears below. Complete the frequency distribution for the data.
Answers
The given images are 1, 2, 3, 4, 5
The total number of participants = 24
The frequency of each image is the number of times it appears in the distribution
Frequency of 1 = 6
Frequency of 2 = 5
Frequency of 3 = 4
Frequency of 4 = 3
Frequency of 5 = 6
The frequency distribution table is therefore shown below:
Rewrite x^2+9 in factored form
Answers
The factored form is, x =3i and x = -3i
Given:
The objective is to write x^2+9 in factored form.
The factored form can be written as,
[tex]\begin{gathered} x^2+9=0 \\ x^2=-9 \\ x=\sqrt[]{-9} \\ x=\pm3i \end{gathered}[/tex]Here, i stands for imaginary term due the square root of (-1).
Hence, the factored form is, x =3i and x = -3i.
Which relationships can be represented by the equation y=1/5x?
Answers
First, notice that 1/5 = 0.20. With this in mind, the examples that can be represented by the equation y = 1/5x are the following:
1.-Bananas are on sale for $0.20. Let x represent the number of bananas and y represent the total cost,in dollars
2.-For every 10 gallons of water, Jasmine adds 2 cups of Soap. Let x be the gallons of water and y the cups of soap.
Find the length of XY if W is between X and Y, WX = 38 and WY = 16.XY =
Answers
Answer
XY = 54 units
Explanation
We are told that W is in between X and Y. This means that
XY = XW + WY
WX = XW = 38
WY = 16
XY = ?
We just make the necessary substitutions
XY = XW + WY
XY = 38 + 16 = 54 units
Hope this Helps!!!
Write expression in terms of sine and cosine, and simplify so that no quotients appear in final expression.
Answers
Use the identity
[tex]1+\tan ^2x=\sec ^2x[/tex]Then the expression becomes
[tex]\frac{\sec^2x}{\sec x}=\sec x[/tex]Now, sec x is the reciprocal of cos x.
[tex]\frac{1+\tan^2x}{\sec x}=\frac{1}{\cos x}[/tex]Polygon ABCD with A (2,4), B (-4,-8), C (0,4), and D (12,-2), is dilated are the new coordinates? Is this a reduction or enlargement?
Answers
For this exercise it is important to know that, in Dilations:
1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.
2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:
[tex]0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}[/tex]And the scale factor is:
[tex]k=\frac{1}{2}[/tex]Since:
[tex]0<\frac{1}{2}<1[/tex]It is a reduction.
You can identify that the rule of this transformation is:
[tex]undefined[/tex]The Obama family is building a circular swimming pool. If the radius of the pool is 15 feet, What is its circumference? Use I = 3.14 to solve.
Answers
The formula for circumference is given by
C = pi *d where pi = 3.14 and d is the diameter
We can find the diameter from the radius
d = 2*r where r is the radius
C = pi * 2 *r
C = 3.14 * 2 * 15
C =94.2 ft
Simplify by finding the sum or difference of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (6w^2+24w+24)-(3w^2-26w+3) This simplifies to: AnswerThe degree of our simplified answer i
Answers
Start by distributing the negative sign
[tex]6w^2+24w+24-3w^2+26w-3[/tex]Then group terms that have the same literal parts
[tex]\begin{gathered} (6w^2-3w^2)+(24w+26w)+(24-3) \\ \text{The resulting operation simplifies to} \\ 3w^2+50w+21 \\ \text{the degree of the polynomial is 2 since its the highest exponent.} \end{gathered}[/tex]Selma and Didi both have parents that live far away. One weekend, both women decide to visit their parents. They each decide to leave for their trips at the same time.
Selma's distance from home is shown in the graph.
Unfortunately, Didi's route has a lot of traffic at the beginning of her trip. Didi's distance from home, in miles, is represented by the function f(x)=12(1.63)x, where x represents the hours she has been traveling.
How do the distances each woman is from home compare during their journeys?
Responses
After 3 hours, Selma is approximately 130 miles from home, and Didi is approximately 52 miles from home.
After 3 hours, Selma is approximately 130 miles from home, and Didi is approximately 52 miles from home.
After 2 hours, Selma is 91 miles from home, and Didi is approximately 20 miles from home.
After 2 hours, Selma is 91 miles from home, and Didi is approximately 20 miles from home.
After 2 hours, Didi is 91 miles from home, and Selma is approximately 20 miles from home.
After 2 hours, Didi is 91 miles from home, and Selma is approximately 20 miles from home.
After 3 hours, Didi is approximately 130 miles from home, and Selma is approximately 52 miles from home.
Answers
After 3 hours, Selma is approximately 130 miles from home and Didi is approximately 52 miles from home
The value of y is directly proportional to the value of x. If y = 3 whenx = 7, what is the value of x when y= 10.5? *Hint: Now you are looking for the "X". (show work)
Answers
we have that y=k*x, therefore we can say that k=y/x
[tex]k=\frac{3}{7}[/tex]so, if we have y= 10.5 we get that
[tex]x=\frac{y}{k}=\frac{10.5}{\frac{3}{7}}=24.5[/tex]x=24.5
In the scenarios you have explored so far, the angle measures were given, and you used trigonometric ratios to find missing side lengths. To determine the angle measures when only the side lengths are given, you can use inverse trigonometric functions. The input of each function is a number, which represents a ratio of two of the sides. The output of each function is an acute angle measure.Inverse sine: If sin A = z is given, then angle A can be determined by sin ¹2 = A.Inverse cosine: If cos A = x, is given, then angle A can be determined by cos ¹ = A.Inverse tangent: If tan A = z, is given, then angle A can be determined by tan ¹ = A.Let's explore this idea using the familiar 45°-45°-90° isosceles right triangle.
Answers
Given:-
A right angled triangle with side length 1.
To find the required angle value.
So now we use different trigonometric ratios such as,
[tex]sin,cos,tan[/tex]So we get,
[tex]sin^{-1}(\frac{1}{\sqrt{2}})=cos^{-1}(\frac{1}{\sqrt{2}})=tan^{-1}(\frac{1}{1})=45[/tex]So the required angle is 45 degree.
x2 - 4x + 4 = 0 following quadratic equations graphically
Answers
Since we have to solve it graphically, we need to plot the function:
Here, we can see that the point where the graph touches the y axis is when x = 2
The solution to the equation is x = 2
Choose the option with the proper number of sig figs
Answers
let's break down the expression to get the final result:
[tex]\begin{gathered} \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = }\frac{9}{4.5}\times\text{ }\frac{10^9}{10^1} \\ \frac{9}{4.5}\text{ = }\frac{9\text{ }\times\text{ 10}}{4.5\text{ }\times\text{ 10}}\text{ = }\frac{90}{45} \\ \frac{9}{4.5}\text{ = }2 \\ \\ \frac{10^9}{10^1}\colon\text{ when we divide exponents with same base, } \\ we\text{ take one of the base and combine the exponents by subtracting them:} \\ \frac{10^9}{10^1}=10^{9-1} \\ \frac{10^9}{10^1}=10^8 \end{gathered}[/tex][tex]\begin{gathered} \frac{9}{4.5}\times\text{ }\frac{10^9}{10^1}\text{ = 2 }\times10^8 \\ \\ \text{when dividing decimals, }the\text{ least number of }significant\text{ }figures\text{ in the problem}, \\ \text{ }\det ermines\text{ the significant figures in the answer} \\ 9\text{ = 1 significant, 4.5 = 2 significant} \\ \text{The least significant is 1} \\ \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = 2 }\times10^8 \end{gathered}[/tex]The function f is defined as follows for the domain given. f(x)= 1-3x domain = (-1, 0, 1, 2)(a)Write the range of f using set notation. (b)Then graph f.
Answers
Answer:
(a)Range: {-5, -2 ,1 ,4}
Explanation:
The function f is defined below:
[tex]f\mleft(x\mright)=1-3x[/tex]The domain of f(x) = {-1, 0, 1, 2}.
(a)To find the range of f(x), we evaluate f(x) for each value in the domain.
[tex]\begin{gathered} f\mleft(-1\mright)=1-3\left(-1\right)=1+3=4 \\ f\mleft(0\mright)=1-3(0)=1-0=1 \\ f\lparen1)=1-3(1)=1-3=-2 \\ f\mleft(2\mright)=1-3(2)=1-6=-5 \end{gathered}[/tex]Therefore, the range of f is:
[tex]\{-5,-2,1,4\}[/tex](b)Next, we graph f.
there are 4 sets of balls numbered 1 through 12 placed in a bowl. if 4 balls are randomly chosen without replacement, find the probability that the balls have the same number. express your answer as a fraction
Answers
The probability is 12/194580
Explanation:The balls numbered 1 through 12 are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
If 4 balls have the same number, then there are 12 types of this arrangement:
1, 1, 1, 1
2, 2, 2, 2
3, 3, 3, 3
and so on.
There is also 4 * 12 = 48 total number of balls.
We have a permutation:
[tex]\begin{gathered} 48C4=\frac{48!}{(48-4)!4!} \\ \\ =\frac{48!}{44!4!}=194580 \end{gathered}[/tex]Finally, we
[tex]\frac{12}{194580}[/tex]This is the required probability.
The seventh decile is the ___ percentile in terms of the data set.
Answers
The statement is given as
The seventh decile is the ___ percentile in terms of the data set.
ExplanationThe seventh decile is the 70-th percentile in terms of the data set.
AnswerHence the answer is 70th percentile in terms of data set.
Oliver and Robin have different stride lengths and want to compare them. Oliver uses a table to represent the distance he travels in feet related tothe number of strides he takes. Question 2 Using Robin's graph, how can you find the unit rate?
Answers
The grpah is plotted with the number of strides along the x axis and the distance travelled along the y axis.
So, the slope of the graph gives the distance travelled by Robin per stride or the stride length. The approximate value of slope of the graph is,
[tex]\text{Slope}=\frac{\Delta y}{\Delta x}=\frac{8-0}{3-0}=\frac{8}{3}=2.67[/tex]So, the stride length or the unit rate of Robin is approximately 2.67 feet.
Drag numbers in the box to make each comparison true
Answers
1) Let's find the results of each inequality/equality so that we write out the right choices.
2) Let's begin with the equation. We're going to resort to Algebra:
[tex]\begin{gathered} 12\times\frac{4}{x}=8 \\ 12\times4=8x \\ 48=8x \\ 8x=48 \\ \frac{8x}{8}=\frac{48}{8} \\ x=6 \\ 12\times\frac{4}{6}=8{\color{DarkBlue} } \end{gathered}[/tex]Based on that, we can tell that and filling in the gap with other whole numbers the following:
[tex]\begin{gathered} 12\times\frac{4}{8}<8 \\ 6<8 \\ 12\times\frac{4}{6}=8 \\ 12\times\frac{4}{3}>8 \\ 16>8 \end{gathered}[/tex]Note that we picked whole numbers and it is clear that the greater the denominator the lesser the value.
Write 16 2/3% a as a decimal and b as a reduced fraction
Answers
Given the following percentage:
[tex]16\frac{2}{3}[/tex]Convert into a decimal and into a reduced fraction
16 + 2/3 =
16 + 2/3 = 0.166666 percent or 0.16 as a repeating decimal
To convert the decimal into a fraction:
[tex]\frac{(0.16\times10^2)-0}{10^2-1}=\frac{16}{99}[/tex]Fraction already reduced no need to simplify it further so....
= 16 / 99
zero, depending on your answer.|A flashlight is projecting a triangle onto a wall, as shown below.20nThe original triangle and its projection are similar. What is the missing length n on the projection?C 19.230O13.328
Answers
If two triangles are similar, it means that the ratio of their corresponding sides is the same. By applying this to the given triangles, it means that
20/n = 16/24
By crossmultiplying, we have
n x 16 = 20 x 24
16n = 480
n = 480/16
n = 30
The second option is correct
10. What is 7/4 as a mixed number?
Answers
Solution:
Given;
What is 7/4 as a mixed number?
7/4 as a mixed number can be expressed as
[tex]1\frac{3}{4}[/tex]Hence, the answer is 1 3/4
Ted and his classmates started watering flowers at 11:36 andfinished watering all the flowers at 13:25. If they wateredflowers at a constant rate, at what time did they finish watering4/7 of the flowers? Give your answer in a 24-hour clock format,such as 19:00.Enter the answer
Answers
SOLUTION
The duration for watering the whole flower is
[tex]\begin{gathered} \text{ finishing time- starting time } \\ 13\colon25-11\colon36 \\ \end{gathered}[/tex]Which is
[tex]1\text{hours 49minutes or 109 minutes }[/tex]This means it takes 109minutes for watering the whole flowers.
The time taken for 4/7 of the flowers is
[tex]\begin{gathered} \frac{4}{7}0f\text{ 109} \\ \\ \frac{4}{7}\times109=\frac{436}{7}=62.29 \\ \\ \end{gathered}[/tex]Then it takes 62minutes 29seconds to wet 4/7 of the flowers
[tex]\begin{gathered} 62\text{minutes 29 seconds will be } \\ 1\text{hours 0.5minutes } \end{gathered}[/tex]The time they will finish watering 4/7 of the flowers will be
[tex]\begin{gathered} \text{starting time +Duration for 4/7 of the flowers } \\ 11\colon36+1;05 \\ 12\colon41 \end{gathered}[/tex]