Answers
Answer:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.
If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
Graph each of the inequalities in the system in a similar way. The solution of the system of inequalities is the intersection region of all the solutions in the system.
Example 1:
Solve the system of inequalities by graphing:
y≤x−2y>−3x+5
First, graph the inequality y≤x−2 . The related equation is y=x−2 .
Since the inequality is ≤ , not a strict one, the border line is solid.
Graph the straight line.
Consider a point that is not on the line - say, (0,0) - and substitute in the inequality y≤x−2 .
0≤0−20≤−2
This is false. So, the solution does not contain the point (0,0) . Shade the lower half of the line.
Similarly, draw a dashed line for the related equation of the second inequality y>−3x+5 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .
The solution of the system of inequalities is the intersection region of the solutions of the two inequalities.
Example 2:
Solve the system of inequalities by graphing:
2x+3y≥128x−4y>1x<4
Rewrite the first two inequalities with y alone on one side.
3y≥−2x+12y≥−23x+4−4y>−8x+1y<2x−14
Now, graph the inequality y≥−23x+4 . The related equation is y=−23x+4 .
Since the inequality is ≥ , not a strict one, the border line is solid.
Graph the straight line.
Consider a point that is not on the line - say, (0,0) - and substitute in the inequality.
0≥−23(0)+40≥4
This is false. So, the solution does not contain the point (0,0) . Shade upper half of the line.
Similarly, draw a dashed line of related equation of the second inequality y<2x−14 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .
Draw a dashed vertical line x=4 which is the related equation of the third inequality.
Here point (0,0) satisfies the inequality, so shade the half that contains the point.
The solution of the system of inequalities is the intersection region of the solutions of the three inequalities.
Step-by-step explanation:
I got it right
Related Questions
Does the point (3, 28) lie on the line y = 19 +3x
Answers
Answer:
Yes
Step-by-step explanation:
put point (3,28) in the above equation
28=19+3(3)
28=28
[tex]\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}[/tex]
Calculations ↓
An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :
x - coordinate : 3
y=19+3(3)
y - coordinate : 28
28 = 19 + 9
28 = 28 [tex]\Large\checkmark[/tex]
LHS = RHS
Hence the point (3, 28) does lie on the line y = 19 + 3x[tex]\footnotesize{\text{hope\:helpful}}[/tex]
solve for x: 6 < 4x + 8 < 14
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:6 < 4x + 8 < 14[/tex]
[tex]\qquad \tt \dashrightarrow \:6 - 8 < 4x + 8 - 8 < 14 - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: - 2 < 4x < 6[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 2}{4} < \dfrac{4x}{4} < \dfrac{6}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 1}{2} < {x}{} < \dfrac{3}{2} [/tex]
hope it helps ~
Tina and Rod are married, filing jointly. Their combined taxable income is $65,157. Every week, a total of $158 is withheld from their pay. Based on the table below, how much will Tina and Rod owe when their taxes are due? Show work.
Answers
Answer:
This is unsolvable without the graph. show me the graph and i can solve it
Step-by-step explanation:
Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above
Answers
Answer:
E) None of the above
Step-by-step explanation:
Given [tex]f(x)=\sqrt{x}[/tex] and [tex]g(x)=x+2[/tex], then [tex]f(g(x))=\sqrt{x+2}[/tex]. This shifts the graph of the parent function [tex]f(x)=\sqrt{x}[/tex] 2 units to the left. Thus, the domain of the function is [tex][-2,\infty)[/tex], making none of the above true.
The domain of f(g(x)) is all real numbers x such that x ≥ -2.
Hence, Option e is correct.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, To find the domain of f(g(x)), we need to first determine the domain of g(x).
Since, g(x) is a polynomial function,
And, we know that it is defined for all real numbers.
Therefore, the domain of g(x) is (-∞, ∞).
Next, we need to find the domain of f(g(x)), which means we need to determine which values of x make g(x) a valid input for f(x).
Since, f(x) is defined only for non-negative real numbers, we need to ensure that g(x) is a non-negative real number.
Therefore, we set the inequality g(x) ≥ 0 and solve for x:
x + 2 ≥ 0
x ≥ -2
So, The domain of f(g(x)) is all real numbers x such that x ≥ -2.
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Consider the following equation.
x + 5y = 10
Step 1 of 2: Determine the missing coordinate in the ordered pair (10, ?) so that it will satisfy the given equation.
Answers
Answer:
y = 0
Step-by-step explanation:
Plug 10 in for x, and solve for y.
10 + 5y = 10
5y = 0
y = 0
4) Look at this set of 5 numbers: 5 3 5 3 4
By how much would the mean increase if the number 8 replaced one of the 3's in the
set?
Answers
==========================================================
Explanation:
To compute the mean, we first add up the numbers
5+3+5+3+4 = 20
Then divide by 5 since there are 5 numbers in the set
20/5 = 4
The mean is 4.
---------------
Now replace one of the '3's with 8 and recompute the mean
5+8+5+3+4 = 25
25/5 = 5
The mean is now 5.
The old mean in the previous section was 4.
The mean has increased by 1 since 5-4 = 1.
Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.
Answer:
1
Step-by-step explanation:
Mean=Sum of terms/ No.of terms
→5+3+5+3+4/5
20/5=4
If we replace 3 as 8 in one of the place values, Then:5+3+5+8+4/5=25/5
→5
Increment= 5-4=1
THUS, 1 is increased.
THANKYOU
PLEASE MARK ME AS THE BRAINLIEST PLEASE BYE FOR NOW.
Given the g(x)=x2-6x-16 which statement is true
Answers
Answer:
The zeros are -2 and 8, because the factors of g are (x+2) and (x-8).
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answers
Answer:
3x+y=-2
Step-by-step explanation:
A parallel line has the same slope as y=-3x-6, so a slope of -e
This means that the coefficient of x has to be bigger than y, and since both x and y are on the left hand side, they both have to be positive.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answers
Step-by-step explanation:
take it again, it's so blur
Please help me fast!
Answers
Find the Inverse
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
9
+
2
9
which expressions are equivalent to 5 times 5 times 5 times 5 times 5 times 5? Select all the expressions that apply.
Answers
Answer:
5 to the power of 5. In other words, 3125
Answer:
5*5*5*5*5*5
[tex]5^6[/tex]
Step-by-step explanation:
If your answer choices show exponents, then any base 5 exponents multiplied that have exponents adding up to 6 will work too.
IF CORRECT ILL MARK BRAINLIEST!
USE THE NET TO FIND THE SURFACE AREA OF THE REGULAR PYRAMID
Answers
Answer:
275.63 mm^2
Step-by-step explanation:
The measurements of the pyramids are
Edge length: 10
Egde width: 8.66 (because 10x8.66/2 = 43.3)
Height: 9
To find the surface area, use this formula, and you will get 275.63:
A computer fan's speed rises as the computer heats up. Based on the table, what is MOST LIKELY the fan's speed at 7 minutes?
A) 0 RPM
B) 1,400 RPM
C) 2,100 RPM
D) 2,800 RPM
Answers
Answer:
2,800
Step-by-step explanation:
Because they are adding 700 each time.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
x = 14
y = 30
Step-by-step explanation:
x + 10 = 3x - 18
x = 3x - 18 - 10
x = 3x -28
x - 3x = -28
-2x = -28
x = 14
(3x - 18) + (6y - x - 10) = 180
3x - x -18 - 10 + 6y = 180
2x - 28 + 6y = 180
2x + 6y = 180 + 28
2(14) + 6y = 208
6y = 208 - 28
6y = 180
y = 30
I hope this helps!
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1
Answers
Answer:
⇒ A. 2 should be distributed as 2y + 12, y = 6Step-by-step explanation:
Here are the steps to solve this equation:
Given:
First step: 2(y+6)-4y
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC2(y+6)
2*y=2y
2*6=12
2y+12
Isolate the term of y from one side of the equations.
2y+12=4y
Subtract by 12 from both sides.
2y+12-12=4y-12
Solve.
2y=4y-12
Then, you subtract by 4y from both sides.
2y-4y=4y-12-4y
Solve.
2y-4y=-2y
-2y=-12
Divide by -2 from both sides.
[tex]\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}[/tex]
Solve.
Divide the numbers from left to right.
Solutions:
-12/-2=6
[tex]\Longrightarrow: \boxed{\sf{y=6}}[/tex]
Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".I hope this helps. Let me know if you have any questions.
What is the volume of the following rectangular prism?
Answers
Step-by-step explanation:
green = surface area
volume = 9/5 × 2/3
= 18/15
= 6/5 = 1.2 or 1 1/5
Joseph works 5 hours on Monday, 10 hours on Tuesday, 9.5 hours on Wednesday, 8.25 hours on
Thursday, 6 hours on Friday, and 7.5 hours on Saturday. He is paid $9.85 per hour and time and a
half for all hours over 40 per week. Find his gross earnings per week.
I
I
Answers
Answer:
459.9 or 460
Step-by-step explanation: add it all up and multiply and then add once more the half times the 6.25 hours of overtime
pls answer what you can and I will give brainliest.
1. A population variance is used to calculate the t statistic for a hypothesis test.
(True/False)
2. Holding everything else constant, increasing the sample size (n) decreases estimated standard error (SM) and increases the likelihood of a significant result.
(True/False)
3. With = .01, a two-tailed t test for a sample of n = 20 subjects would have critical t boundary values of t = ±2.861
(True/False)
4. A sample of n = 15 scores would produce a t statistic of df = 16.
(True/False)
5. Using the single sample t statistic formula (M - divided by SM) for a hypothesis test: First, calculate the obtained t statistic for: M = 12, = 6, with SM = 2.
Second, find the critical t boundary values for the critical region in the t Distribution Table (p. 537).
Now, describe the decision regarding the null hypothesis for a two-tailed test with =.05 and df=8: _________.
(Reject Null Hypothesis/Fail to reject Null Hypothesis)
6. An independent-measures t test design could be used to evaluate the difference in verbal skills between 3-year old girls and 3-year old boys.
(True/False)
7. The null hypothesis for the independent-measures t test states that there is no difference between the two population means.
(True/False)
8. The homogeneity of variance assumption requires that the two samples have equal variances.
(True/False)
9. One sample has n = 6 and SS = 20, and a second sample has n = 6 and SS = 30. The pooled variance for the two samples is 50/10 = 5.
(True/False)
10. An independent-measures study uses a separate sample to represent each of the treatment conditions or populations being compared.
(True/False)
11. The goal of an independent measures research study is to evaluate mean differences between two populations (or treatment conditions).
(True/False)
12. For the difference scores: 3, -8, 6, -4, -2, the value of MD = -1.
(True/False)
13. A researcher obtains a t statistic of t = 2.00 from a repeated-measures study using n = 17 participants. If effect size is measured using r2, then r2 = 4/20 = 0.20
(True/False)
14. The repeated-measures t test design is suited to situations in which there are relatively few subjects available for study
(True/False)
15. The repeated-measures t test design is helpful because it uses fewer subjects for two samples.
(True/False)
16. The researcher’s goal for a repeated-measures t test is to use a sample of difference scores to answer questions about the general population, and particularly to find out if there is any difference between the two treatment conditions for the general population.
(True/False)
17. Independent observations are an assumption for the repeated-measures t test design.
(True/False)
18.
Two assumptions of the t test are: ________.
Assumption 1: ________
Assumption 2: ________
THANKS <3
Answers
Answer:
I believe the top one is true! I'm sorry I couldn't answer them all :c
Step-by-step explanation:
A group of friends are canoeing along a river. They want to travel upstream 1.5 km, then travel back downstream back to their original starting point. The river has a current of 6km / h * r If the distance equation to find the time to travel upstream is time = and the equation to (velocitycurrenty distance travel downstream is time = ( velocity current) How fast should the canoe be traveling to complete the journey in 6 hours ? b. If the journey upstream ends up taking twice as long as the journey downstream, how fast did the canoe travel ?
Answers
Using the relation between velocity, distance and time, it is found that:
a) The canoe should be traveling at a rate of 37.5 km/h.b) The canoe traveled at a rate of 6.124 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Item a:
1.5 km in 6 hours, with a velocity of vc - 6, in which vc is the velocity of the canoe and 6 km/h is the velocity of the current, so:
[tex]vc - 6 = \frac{1.5}{6}[/tex]
vc - 36 = 1.5
vc = 37.5.
The canoe should be traveling at a rate of 37.5 km/h.
Item b:
Upstream, the velocity is given by vc - 6, as it is against the stream, hence:
[tex]vc - 6 = \frac{1.5}{2t}[/tex]
[tex]t(vc - 6) = \frac{1.5}{2}[/tex]
[tex]t = \frac{1.5}{2vc - 12}[/tex]
Downstream, we have that:
[tex]vc + 6 = \frac{1.5}{2(\frac{1.5}{2vc - 12})}[/tex]
[tex]vc + 6 = \frac{1.5}{vc - 6}[/tex]
[tex]vc^2 - 36 = 1.5[/tex]
[tex]vc = \sqrt{37.5}[/tex]
vc = 6.124.
The canoe traveled at a rate of 6.124 km/h.
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Answer:
dfgd
Step-by-step explanation:
sdfg
Giving brainlest pls awnser quick
Answers
Answer:
problem 8= 769.3
problem 16=A
problem 11= independent-x , dependent-y
problem 12= independent- s , dependent- v
problem 17= C
Help! 2a+2b=360
a) a = 60 degrees
b) a= 75 degrees
use algebra to solve for b
Answers
Answer:
2(60)+2b=360
120+2b=360
2b=360-120
2b/2=240/2
b=120
16. Jason leaves Detroit at 2: 00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at [tex]2\colon50\mathrm{PM}\text{.}[/tex]
(b) Draw the graph of the equation in part (a).
Answers
Answer:
at 2: 00 PM constant speed may 4:00 constant speed
Step-by-step explanation:
makatulong po ba
If a lost male child is found who is 145 cm tall, determine an interval of likely ages for the child.
Answers
Answer:
wrote in said they would not have children if they could make the choice again. is 166 cm tall really has a wrist circumference of 65 mm
Step-by-step explanation:
hope this helps!
8-10yrs
hope it helps...!!!
Determine f(2) where f(x) =X+1/4x-2
Answers
So 2 + 1/4(2) -2
The +2 and -2 cancel out
So multiply 1/4 and 2
Giving you 1/2
Evaluate 7a-5b when a=3 and b=4
Answers
There are 350 eighth graders at Wilson Middle School. In the class president election, 252 students voted for Luke, 56 students voted for Alice, and 42 students voted for Chris. What percent of eighth graders voted for Luke?
Answers
72%
hope it helps...!!!
Answer:
72%
Step-by-step explanation:
Step 1.
Do 252 divided by 350
252/350
Step 2.
Convert answer into percentage
252/350=.72
.72=72%
PLEASE HELP ME ON THIS QUSTION
The data shows the age of thirteen different dogs at a dog park.
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answers
Answer:
Given the following data shows the age of thirteen different dogs at a dog park:
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
The frequency table is as shown below;
Age | number of dogs
0 - 2 | 1
3 - 5 | 5
6 - 8 | 3
9 - 11 | 2
12 - 14 | 2
Step-by-step explanation:
To create a histogram of the given data, you would have to plot the ages of the dogs against the number of dogs.
Calculations and Parameters:Given the set of data: 3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
You would have to create a frequency table and this would contain the ages and number of the dogs as displayed below:
Age | number of dogs
0 - 2 | 1
3 - 5 | 5
6 - 8 | 3
9 - 11 | 2
12 - 14 | 2
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The number of chips of different colors in Kathy's bag is shown below:
9 blue chips
5 pink chips
6 white chips
Kathy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag.
Part A--What is the probability that Kathy takes out a white chip in both draws? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part B--Is this scenario an independent event or dependent event? Explain.
Part C--What is the probability that Kathy takes out a blue chip in the first draw, and then a pink chip in the second draw? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part D--Is this scenario an independent event or dependent event? Explain
Answers
What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.
Answers
Answer:
(1;1) and (0;4)
Step-by-step explanation:
1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then
[tex]x_0=\frac{-b}{2a}; \ = > \ x_0=1;[/tex]
[tex]y_0=3*1-6*1+4=1;[/tex]
it means, the vertex has coordinates (1;1).
2) if according to the condition x=0, then
f(0)=0-0+4=4;
it means the Y-intercept is 4.
a) Find the value of 2x + y when x = 4 and y = 3
Answers
Answer:
11
Step-by-step explanation:
x = 4
2x
= 2 * 4
= 8
y = 3
2x + y
= 8 + 3
= 11