Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
[tex]2x+y<10\\y=10-2x[/tex]
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
Does (3, –8) make the equation y = –x + –5 true?
Answer:
Yes.
Step-by-step explanation:
Substitute in the equation for x and y:
-8 = -3 + -5 = -8.
What is the value of n?
Answer:
85°
To get this,know that the total angle of triangle is 180°[(n-2)180] n=number of sides.Total angle on a straight line is 180°.
There are 3 angle you need to calculate.
Upper angle:180-133=47°
Right angle:180-142=38°
Left angle:180°-47°-38°=95°
n+95°=180°
n=180°-95°=85°
Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
A) (5x-3)(x+1)
B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]
C) it gets up really high
D) Plug values in of x to get y and plot!
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month? The prepaid phone plan will have a steeper line and lower y-intercept. The contracted phone plan will have the same steepness and a higher y-intercept. The prepaid phone plan will have a less steep line and the same y-intercept. The contracted phone plan will have a steeper line and same y-intercept.
Answer: A; The prepaid phone plan will have a steeper line and lower y-intercept.
"The prepaid phone plan, whose cost is $0.20 per minute, will means the usage increases as time increases means that this will have a steeper line and lower y-intercept since it has no monthly fee, Contracted phone plan, whose fee is still $0.02 would have a less steep line and a higher y-intercept because the plan requires monthly fee of $50."
Hope this helps
-Carrie
Please mark brainliest :)
A. The prepaid phone plan will have a steeper line and lower y-intercept.
What are given here ?Grace is comparing plans of cell phone.
A prepaid phone plan costs $0.20 per minute and has no monthly fee.
A contracted phone plan costs $50 per month and $0.20 per minute
What will be the type of graph ?Time increases as usage of the prepaid phone increases, which cost $0.20 per minute. So, the line will be steeper. There is no monthly plan in prepaid phone, so lower y-intercept seen in the graph.
The cost of contracted phone is $0.20 per minute, so the line is less steeper. Again, contracted phone has monthly plan of $50 per month, so the y intercept will be higher.
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Find measure of angle PRS pleaseee urgent!!
Answer:
142 degrees
Explanation:
First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.
Answer:
142
Step-by-step explanation:
Then plug it in
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
What is the slope of the line represented by the equation y-6 = 5(x - 2)?
Answer & Step-by-step explanation:
The equation for slope-intercept form is y=mx+b
In order to solve this problem, we can just solve the equation to find y.
y - 6 = 5(x - 2)
Distribute 5 to (x - 2)
y - 6 = 5x - 10
Add 6 to both sides of the equation.
y = 5x - 4
So, the slope of the line is 5.
The required slope of the line m = 5
What is the slope of the line represented by the equation y-6 = 5(x - 2)
What is line?
line, is curve showing the shortest distance between 2 points.
Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5
Thus, The required slope of the line m = 5
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I will give brainliest answer
Step-by-step explanation:
inner region
A=πr^2
A=π*6^2
A=π*36cm^2
A=113.09cm^2
shaded region(outer)
A=πr^2
A=π*9^2
A=π*81cm^2
A=254.46cm^2
Area of shaded region=254.46cm^2-113.09cm^2
=141.37cm^2
Mark brianliest if my answer suit your question
Radius of the outer circle = 9cm
Area of a circle = πr²
= π×9×9
= 254.34cm²
Radius of the inner circle = 6cm
Area of a circle = πr²
= π×6×6
=113.04cm²
Therefore, area of the shaded region = 254.34-113.04
=141.30cm²
Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answer:
It’s actually C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
Since angle B is equal to angle C
AC = AB
3x-15 = x+33
Subtract x from each side
3x-15 -x=x+33-x
2x-15 = 33
Add 15 to each side
2x-15+15 = 33+15
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
We want BC = x
BC = 24
Select the equation that is the inverse of the given function. f (x) = StartFraction x minus 3 Over 5 EndFraction f Superscript negative 1 Baseline (x) = 5 x + 15 f Superscript negative 1 Baseline (x) = 5 x + 3 f Superscript negative 1 Baseline (x) = 3 x minus 5 f Superscript negative 1 Baseline (x) = negative five-thirds x
Answer: the answer is B
Step-by-step explanation:
i just did it
Answer:
b
Step-by-step explanation:
on edge
The experimental probability of getting a 6 on a number cube is 7 over 40 . Which is true about the event’s experimental probability? The number 6 came up a total of 40 times. The number 6 came up 7 times out of a total of 40 trials. The number cube was rolled a total of 47 times. After 7 trials, the number 6 came up 40 times.
Answer:
The number 6 came up 7 times out of a total of 40 trials
Step-by-step explanation:
Correct me if i am wrong
Answer:B
Step-by-step explanation:
Because I said so, if you don’t believe me you are a looser
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
A:(-8/3,0)
B:(0,-8/3)
C:(4,0)
D:(0,4)
E:(-4,0)
Answer:
C
Step-by-step explanation:
x-intercept occurs when y=0.
2x -3y= 8
When y=0,
2x -3(0)= 8
2x= 8
x= 8 ÷2
x= 4
Thus the coordinates is (4,0).
I will give brainiest answer
Answer:
≈ 64.43 cm²
Step-by-step explanation:
Subtract the area of the circle from the area of the rectangle.
area of rectangle = 7 × 11 = 77 cm²
area of circle = πr² = π × 2² = 4π cm²
Thus
area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )
Answer:
The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.
Step-by-step explanation:
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches
Answer:
Volume of the box = [tex]2244inches^{3}[/tex]
Step-by-step explanation:
Given
Number of reams in one stack = 4
Number of stacks in the box = 3
Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively
To find
Volume of one ream = Length × Breadth × Height
= 8.5 × 11 × 2
= [tex]187 in^{3}[/tex]
Volume of all the four reams in one stack = 187 × 4
= [tex]748in^{3}[/tex]
Volume of all the three stacks in the box = 748 × 3
= [tex]2244in^{3}[/tex]
∴ Volume of the box = [tex]2244inches^{3}[/tex]
Answer:
The answer is 2244 in3. hope this helps☻♥.
Please help me with my Algebra What is the solution to the system of equations? 3x−y−z=82x+y−z=3x−y+z=6 (−3,−4,−13) (2,−1.5,−0.5) (3,3,−2) (3,−1,2)
Answer:
HI
Step-by-step explanation:
If two events. A and B, are independent then which of the following is always true about their probabilities?
1) P(A)=P(B)
2) P(A and B)=P(A) P(B)
3) P(A OR B)=P(A) P(B) - P(A and B)
4) P(A and B) = P(A) +P(B)
Answer:
P(A and B)= p(A) * P(B)
Step-by-step explanation:
The Formula for the probability of A and B (independent events) is
p(A and B) = p(A) * p(B).
Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)
Answer:
17.8
Step-by-step explanation:
First:
put the equation together
(2x+3) * (x+2)=91
Secondly:
condense
parenthisis can be dropped and normal problem solving can be used.
5x+2=91
subtract 2 from either side of the =
this will give you 5x=89
next divide 5 from each side because it is multiplying the x
x=17.8
IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:
Answer: The answer is Yes.
Step-by-step explanation:
Can not represent as a function. since some output have more than one input
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually
No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.
Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.
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Complete question:
The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?
Homework Complete
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
Answer:
∠F=56.5⁰
Step-by-step explanation:
It forms a right angled triangle.
The base of the triangle is given as 7.7 feet
The perpendicular of the triangle is given as 5.1 feet.
Find ∠E where
tan∠E=perpendicular/base
tan∠E=7.7/5.1
∠E=33.518
Find ∠F by substracting ∠G and ∠E from 180,
∠F=180-90-33.518
∠F=56.482
Round off to nearest tenth
∠F=56.5
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316
Step-by-step explanation:
most teachers say but off is thousandths be careful look what it’s asking for exactly
Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?
Answer:
314 ft²
Step-by-step explanation:
3.14(10)²
(3.14)(100)
314
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
A laptop that costs $250 is on sale with a 20% discount. What is the amount of discount? What’s the explanation to do this
Answer: $50
Step-by-step explanation:
250 x 0.20 = 50
$50 discount
or you pay 80%, so
250 x 0.80 = 200
$200 final cost
$250 original cost - $200 final cost = $50 discount
Answer: 50
Step-by-step explanation:
Discount = 250 x .20 = 50
What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!
Answer: 2/8, 4/8, 4/4, 8,8
Step-by-step explanation:
They all have the denominator of 8.
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation:
4x + 7y= 60
- 4x + 7y= -4
O A. (1,0)
O B. (4,7)
O C. (8,4)
OD. (2,4)
Answer:
C. (8, 4)
Step-by-step explanation:
I graphed it
Answer:
(8,4)
Step-by-step explanation:
4x + 7y= 60
- 4x + 7y= -4
Add the two equations together to eliminate x
4x + 7y= 60
- 4x + 7y= -4
-----------------------
14y = 56
Divide each side by 14
14y/14 = 56/14
y = 4
Now find x
4x +7y = 60
4x +7(4) = 60
4x+28 = 60
Subtract 28 from each side
4x = 60-28
4x= 32
Divide by 4
4x/4 = 32/4
x =8