What is the change in y direction? (Blue arrow)? What is he change in x direction ( green arrow)?
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Explanation:
The graph given is a straight line with a positive gradient. This means as x increases, y increases.
The direction of the change in y and the change in x is in the direction of the blue and green arrows respectively.
Answer: Change in y: up
Change in x: to the right
Related Questions
What is the slope of a line parallel to the line whose equation is 9x – 3y = -54.Fully reduce your answer.
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The slope of a line parallel to the line whose equation is 9x -3y = -54 has the same slope . To solve for the slope we can find y by using the following formula
[tex]\begin{gathered} y=mx+b \\ m=slope \\ b=y\text{ intercept} \\ y=mx+b \\ 9x-3y=-54 \\ 9x-9x-3y=-54-9x \\ -3y=-54-9x \\ \frac{-3y}{-3}=\frac{-54}{-3}+\frac{-9x}{-3} \\ y=18+3x \\ \end{gathered}[/tex]The slope of the line parallel to the line = 3
Find y given that x = -6: y = -6x - 3Select one:O a. 39O b. -9O c. 33Od. -3
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Answer:
c. 33
Explanation:
Given the equation:
[tex]y=-6x-3[/tex]When x=-6:
[tex]\begin{gathered} y=-6(-6)-3 \\ =36-3 \\ =33 \end{gathered}[/tex]The value of y when x=-6 is 33.
Option C is correct.
The dimensions of a right rectangular prism are 2 m, 1.89 m, and 3 m.What is the volume of the right rectangular prism? Use the formula V=lxwxh.A. 1.4175 m3B. 2.25 m²C. 4.2525 m3D. 5.64 m²
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The volume of the right rectangular prism= LWH
The volume of the right rectangular prism is
[tex]\begin{gathered} \frac{3}{4}m\times1.89m\times3m \\ =4.2525m^3 \end{gathered}[/tex]y=4x-7. find slope and Y- intercept
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m = 4
y - intercept = -7
Explanation:y = 4x - 7
equation of line: y =mx + b
where m = slope
b = y-intercept
comparing both equations:
mx = 4x
m = 4
b = -7
y - intercept = -7
Find the intervals where the following function is increasing decreasing or constant express your answer in intervalentation
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Explanation
The given function represents a constant function defined by
[tex]f(x)=2[/tex]The intervals where the function is constant is
[tex](-\infty,\infty)[/tex]Write the fraction in lowest terms. Use the method of dividing by a common factor.35/45A) 7/9B) 5/9C) 7/5D) 35/45
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Answer: We have to write the fraction in the lowest terms, by dividing it by the common factor:
[tex]\frac{35}{45}[/tex]The common factor for both numerator and the denominator is 5, therefore, after dividing by it, the new fraction becomes:
[tex]\frac{35}{45}=\frac{\frac{35}{5}}{\frac{45}{5}}=\frac{7}{9}[/tex]The answer, therefore, is Option(A).
find the exact length of a circular Arc if the radius is 2 ft, with a angle of π/2 radian.
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We get that
[tex]S=r\cdot\theta=2\cdot\frac{\pi}{2}=\pi[/tex]Simply the expression
4(11+7)➗(7-5)
A. 36
B. 40
C. 47
D. 5
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Answer:
36
Step-by-step explanation:
First you solve inside the parentheses.
4(11+7)/(7-5)=4(18)/(2)
Now simplify.
72/2
36
how do I construct the correct equation needed to solve for x with the options below
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The equation therefore can be represented as follows
16x + 4 = 110 + 3x + 11
A floor plan of Eva's new house has a scale of 1 in:12 feet. On the floor plan, Eva's bedroom is 3/4 in. by 7/8in.What is the actual area of Eva's bedroom?
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Question 134 of 190FINAL- MathematicsIf it takes 4.5 gallons of paint to paint 3 rooms, how many whole gallons of paint will you have to buy to paint 7 rooms?DO NOT
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ANSWER:
11 gallons
STEP-BY-STEP EXPLANATION:
We can calculate the amount of gallons to be able to whistle 7 rooms by means of the following proportion:
[tex]\frac{4.5}{3}=\frac{x}{7}[/tex]Let x be the number of gallons needed, we solve for x:
[tex]\begin{gathered} x=\frac{4.5}{3}\cdot7 \\ \\ x=10.5\approx11\text{ gallons} \end{gathered}[/tex]Since they must be whole gallons, it takes 11 gallons to paint 7 rooms.
Solve for x. Show steps.x + 4 = 2x - 510x + 12 = 8x + 4-6 - 29 = 5x - 7
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Part A
Given the equation
[tex]x+4=2x-5[/tex]To solve for x, we first collect like terms
[tex]\begin{gathered} x-2x=-5-4 \\ -x=-9 \\ \text{Divide both sides by -1} \\ x=9 \end{gathered}[/tex]Part B
Given the equation:
[tex]\begin{gathered} 10x+12=8x+4 \\ \end{gathered}[/tex]First, we bring all terms containing x to the left-hand side and the constants to the right-hand side.
[tex]\begin{gathered} 10x-8x=4-12 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \end{gathered}[/tex]Part C
Given the equation:
[tex]-6-29=5x-7[/tex]Collect like terms to obtain:
[tex]\begin{gathered} 5x=-6-29+7 \\ 5x=-28 \end{gathered}[/tex]Divide both sides by 5
[tex]x=-5\frac{3}{5}[/tex]Which values of a, b, and c correctly represent the answer in simplest form? anipa 42 O a=3, b= 6, C = 10 0 0 a = 3,6= 3, C= 5 a= 5, b= 3, C= 3 O a= 10,b=6, C= 3
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We can now compare the result of the left-hand side to that of the
right-hand side of the equation in the question
[tex]3\frac{3}{5}\text{ =a}\frac{b}{c}[/tex]It can be seen that a = 3
b= 3
c= 5
Find the unknown number in the proportion 6/7 = x/95 Round your answer to the nearest hundredth.
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The given proportion is
[tex]\frac{6}{7}=\frac{x}{95}[/tex]To solve this proportion, we just have to multiply each side by 95.
[tex]\begin{gathered} \frac{x}{95}\cdot95=\frac{6}{7}\cdot95 \\ x=\frac{570}{7}\approx81.43 \end{gathered}[/tex]Therefore, the unknown number is 81.43, approximately.A parachutist's speed during a free fall reaches 65 meters per second. What is this speed in feet per second? At this speed, how many feetwill the parachutist fall during 20 seconds of free fall? In your computations, assume that I meter is equal to 3.3 feet. Do not round youranswers.
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The speed of a parachutitst in free fall is 65m/s. In order to find this velocity in feet per second you use the following identities:
1 m = 100 cm
2.54 cm = 1 in
12 in = 1 ft
Each of the previous identity is used as a convertion factor. You proceed as follow:
[tex]65\frac{m}{s}\cdot\frac{100\operatorname{cm}}{1m}\cdot\frac{1in}{2.54\operatorname{cm}}\cdot\frac{1ft}{12in}=213.2\frac{ft}{s}[/tex]where you put as the denominator the quantity with the unit that it is necessay to cancel out. For instance, in the first factor (65m/s) you have meters in the numerator, in order to cancel meter, the next factor (100cm/1m) has to have a denominator with units in meter. Then you have a numerator with centimeters, and you use a factor that allows you to cancel centimeter, as the factor 1in/2.54cm makes.
To calculate the height traveled by the parachutist you use the following formula:
[tex]h=vt+\frac{1}{2}gt^2[/tex]v: speed of the parachutist = 213.2 ft/s
t: time = 20 s
g: gravitational acceleration = 32ft/s²
You replace the previous values into the formula for h, the height traveled:
[tex]\begin{gathered} h=(213.2\frac{ft}{s})(20s)+\frac{1}{2}(32\frac{ft}{s^2})(20)^2 \\ h=10664ft \end{gathered}[/tex]Hence, the parachutist falls 10664 ft
Acheetah ran 195 yards in 6 seconds. What was the cheetah's average speed in miles per hour? Express the answer rounded to the nearest mile per hour._ 195 yd ? mi 6 sec 1 hr The yard unit needs eliminated The second unit needs eliminated Conversion Factors: 1 mi = 1760 yd 1 min = 60 sec, 1 hr = 60 min 1mi 7 mi 195 yd 60 sec 60 sec 60 min 1 min 1 hr 6 sec 1760 yd 1 hr 195 x 60 x 60 ? mi 6x1760 1 hr
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The cheetah covered a distance of 195 yards in 6 seconds . The cheetah average speed in miles per hour can be computed below
Let us convert to the units we want to represent our final answer
1760 yards = 1 miles
195 yards = ?
cross multiply
distance in miles = 195/1760 miles
lets us convert the time
1 minutes = 60 seconds
6 seconds = 6/60 = 1/10 minutes
60 minutes = 1 hour
1/10 minutes = ? hour
cross multiply
[tex]\frac{\frac{1}{10}}{60}=\frac{1}{600}\text{ hours}[/tex]Therefore, the average speed will be
[tex]\begin{gathered} \text{speed =}\frac{dis\tan ce}{\text{time}} \\ \text{speed}=\frac{\frac{195}{1760}}{\frac{1}{600}}=\frac{195}{1760}\times\frac{600}{1}=\frac{117000}{1760}=66.4772727273\approx66\text{ miles per hr} \end{gathered}[/tex]In Livingston, the use of landlines has been declining at a rate of 20% every year. of there are 23,000 landlines this year, many will there be in 6 years?? if necessary, round your answer to the nearest whole number
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In 6 years there are
Apply N1= 230000
N = N1 - N1•20/100 - N1• (20/100)^2 - N1•(20/100/^3 - N1•(20/100)^4 - N1(20/100)^5 - N1•(20/100) ^6
Then replace 20/100= 1/5
N= 23000 - 23000 • ( 1/5 + 1/25 + 1/125/ + 1/625 + 1/3125 + 1/15625 )
N= 23000 - 5750 = 17250
Then answer is
In 6 years there will be 17250 landlines
Which is a possible location for point C so thatARST is similar to ACAB?6T.4.B54NW1ONx-65 -4 -3 -2 -1 0 1 2 3 4 5 6- 4 3 4 G 9SR0 (-2, 1)(-2, 0)(3,0)(3, 1)
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the triangle RST, we can measure the sides, and we get:
if we want the triangle ABC to be similar, has to be a right angle so the value of X has to be -2 or 3. let's see the triangles we have on each option:
So, triangles A and C have the same proportions that triangle RST, (half of each side)
so the correct option is between these two, now if we rotate the triangle RST, we get a similar triangle that A. (rotate until the side SR is vertical)
so the answer is: (-2,1)
Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 8 letters of the alphabet, with norepeats. The digits are taken from the 10 digits (0, 1, 2, ..., 9), with no repeats. How many serial numbers can be generated?
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The serial number of the product would look like XXX-### where XXX represents the letters and ### represents the number. The letter part of the serial number will be taken from the first 8 letters of the alphabet. To know how many different arrangements of letters can be done, we will be using permutation. The permutation equation is described as
[tex]P(n,r)=\frac{n!}{(n-r)!_{}}_{}[/tex]For the permutation of 3 letters, r = 3, for n = 8, the number of possible arrangements is
[tex]P=\frac{8!}{(8-3)!}=336[/tex]In a similar manner, we can pick 3 digits out of the 10 digits and arrange them in several manners using the permutation equation. For the digit part, we have r = 3 and n = 10. Computing for the number of possible arrangements for the digit part of the serial number, we have
[tex]P=\frac{10!}{(10-3)!}=720[/tex]Finally, to get the overall number of serial numbers that can be generated, let's just multiply the permutation for both letters and digits. We get
[tex]336\times720=241920[/tex]Therefore, there are 241920 serial numbers that can be generated.
To avoid calculating difficult probabilities by hand, use aA. stimulationOB. simulcastOC. simulationD. stimulusReset SelectionNextto estimate the probability.
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When probabilities are tedious, the method of of using hand is likely to produce errors. We can use simulation in this case. Thus, the correct option is
For the given equation, enter the value of B when x= - 1/5B/x =20
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Answer:
[tex]B=4[/tex]Step-by-step explanation:
To solve the following equation.
[tex]\begin{gathered} \frac{B}{x}=20 \\ \end{gathered}[/tex]Substitute x=-1/5, and use inverse operations to solve equations.
*Addition and subtraction are inverse operations, multiplication, and division too.
[tex]\begin{gathered} \frac{B}{\frac{1}{5}}=20 \\ 5B=20 \\ B=\frac{20}{5} \\ B=4 \end{gathered}[/tex]Lisa's Scrub-A-Dub Maid Service charges a initial fee of 20.00 plus 10.00 for every hour spent cleaning your home. Identify and state the starting charges and is this a growth or decay?
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Charges are= $20.00 + 10•N
Then answer is
Starting charges = $20
and
its a growth, because 10N is added
DAVIDPablo is studying the function f(x) shown in the graph. He claims that he can transform the function to include theordered pair (2, 2).86x)20-6-6Select the function that supports his claim.2US
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ANSWER
Function q(x) = f(x - 2) supports his claim
EXPLANATION
Function r(x) = f(x) - 2 would translate the graph 2 units down, so the vertex would be at (0,0)
Function s(x) = f(x) + 2 would translate the graph 2 units up, so the vertex would be at (0, 4) and the
a scientist have two solutions which she has labeled solution a and solution B each contain salt she knows that solution a is 70% salt and solution B is 95% so she wants to obtain 160 oz of a mixture that is 75% so how many ounces of each solution should she use
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Solution:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
then we have the system of the equation:
x + y = 160 EQUATION 1
0.70 x + 0.95 y = 0.75(160) = 120 EQUATION 2
Solving for y in equation 1, we obtain:
y = 160-x EQUATION 3
replacing the above on equation 2, we get:
0.70 x + 0.95(160-x) = 120
this is equivalent to:
0.70 x + 152 - 0.95x = 120
this is equivalent to
152-120 = 0.95 x -0.70 x
this is equivalent to:
32 = 0.25 x
solving for x, we get:
[tex]x\text{ = }\frac{32}{0.25}\text{ = 128 }[/tex]now, replacing the above into the equation 3, we obtain:
y = 160-x = 160 - 128 = 32
then, we can conclude that the correct answer is:
x = the number of ounces of Solution A = 128 ounces
y = the number of ounces of Solution B = 32 ounces.
amal went to PetSmart to get his hamster an exercise ball. There was a small ball with a 6 inch diameter and a 12 inch one. The volume of the large ball halfeight timesfour timestwice
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The volume of the large ball is eight times the volume of the small ball
Explanation:Given:
the diameter of the smaller ball = 6 inch
The diameter of the larger ball = 12 inch
To find
The volume of the larger ball in relation to the smaller one
A ball is spherical, we will be using the volume of a sphere:
[tex]Volume\text{ of a sphere = }\frac{4}{3}\pi r^3[/tex]For the smaller ball:
[tex]\begin{gathered} diameter\text{ = 2\lparen radius\rparen} \\ radius\text{ = diameter/2 = 6/2 = 3 in} \\ \\ Volume\text{ of the smaller ball = }\frac{4}{3}\pi\times3^3 \end{gathered}[/tex]For the larger ball:
[tex]\begin{gathered} diameter\text{ = 12 in} \\ radius\text{ = 12/2 = 6} \\ \\ Volume\text{ of the larger = }\frac{4}{3}\pi\times6^3 \end{gathered}[/tex][tex]\begin{gathered} The\text{ ratio of larger ball to smaller ball = }\frac{\frac{4}{3}\pi\times6^3}{\frac{4}{3}\pi\times3^3}\text{ = 216/27} \\ \\ The\text{ ratio of larger ball to smaller ball = 8} \\ \\ \frac{volume\text{ of larger ball}}{volume\text{ of smaller ball}}=\text{ 8} \end{gathered}[/tex]The volume of the large ball is eight times the volume of the small ball
can you do the check part too? so i can understand. thank you!
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12 is dividing on the left, then it will multiply on the right.
[tex]\begin{gathered} 9+t=(-3)\cdot12 \\ 9+t=-36 \end{gathered}[/tex]9 is adding on the left, then it will subtract on the right
t = -36 - 9
t = -45
To check the answer, replace the value found into the original equation, as follows:
[tex]\frac{9-45}{12}=\frac{-36}{12}=-3[/tex]Given f(x) = Vx+1, which graphs represents | 1(2)?yA.B.cC.D.Select one:O a. AObBОс. СO d. D.
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Given:-
[tex]\sqrt[3]{x+1}[/tex]To find:-
The graph of,
[tex]f^{-1}(x)[/tex]To find the required value, first we convert it.
[tex]y=\sqrt[3]{x+1}[/tex]By solving the above equation. we get,
[tex]x=y^3-1[/tex]Now we sketch the graph of,
[tex]x=y^3-1[/tex]By sketching. we get,
So this is the required graph.
So the correct option is A.
For each system of linearesuations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose thebest description of its solution. If the system has exactly one solution, give its solution.System ASystem BSystem C
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A system of equations is independent when it has exactly 1 solution.
A system of consistent equations is independent when it has an infinte number of solutionshen it has an i
Looking at system A, the lines of the two equations are parallel. This means that they will never intersect and this implies that there is no solution. They are inconsistent
Looking at system B, the lines of the two equations are coincide. This means that they are the same lines. Since there is no point of intersection, there is an infinite number of solutions hence, they are dependent. on. They e inconsis and dependent
Looking at system C, the lines of the two equations are coincide. This means that there is only one solution and it's at the point of intersection solution. They are consistent and independent. Looking at the point of intersection, the solution would be the x and y coordinates of this point. Hence, solution = (1, 2)
Tis implies that there is no solution
Which of the following graphs shows the solution for the inequality y+3<2/3(x-9)?
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Explanation
We are to select the best option that represents the graph of the inequality
[tex]y+3\leq-\frac{2}{3}(x-9)[/tex]From the above, we have the slope as -2/3
Also, we have the x-intercept as 9/2 or 4.5
Then we have the y-intercept as 3
Thus
the graph is
I need help with this bellwork
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We have the point U(-5,-2)
Translated 2 units right means add 2 to the x coordinate
Translated 2 units up means add 2 to the y coordinate
The new point is U'
U'=(-5+2,-2+2)=(-3,0)
U'=(-3,0)