Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 3x + 10 y is less than negative 3 over 4 times x minus 1 Part A: Clearly describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (8, 10) a solution to this system? Explain how you know
Answers
Answer:
See attached graph, and answers.
Step-by-step explanation:
The inequalities are given as;
i) y>3x+10
ii) y<-3/4x -1
Graphing the inequalities gives the following result
The solution area is that which is shaded and the lines are broken lines not complete
From the graph the solution is: { -2.9,1.2}
The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.
Related Questions
Find the slope of the line that passes through (6,1) and (9,8)
Answers
(8-1)/(9-6) = 7/3
The slope is 7/3
Answer:
2 1/3
Step-by-step explanation:
8-1=7
9-6=3
7/3= 2 1/3
Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much money did the girls earn in total at their bake sale? Write an equation and solve it to find the answer.
Answers
Answer: 1. Equation =3x = M , where x = money each received and M= total money received.
2.total money from bake sale=$96.57
Step-by-step explanation:
STEP 1
Let the total money receive from proceeds be = M
and let the amount of money each receive after the split = x
Since Jan and her two friends raised the money together, the total proceeds will be calculated using the equation
x+x+x= M
3 x = M ---- Equation
STEP 2--- Solving
if 3 x= M
and x =mount of money each receive after the split=$32.19
Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57
Answer:
The last one
Step-by-step explanation:
$96.57
A manufacturer tests a certain number of the headsets that are produced each day, with approximately 3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a % chance of finding a defective headset.
If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to .
Answers
Answer:
2.5% chance of finding a defective headset
970
Step-by-step explanation:
3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,
easy to find percent 273/280=0.975
multiply by 100
97.5 then get 100-97.5=2.5
2.5% chance of finding a defective headset
ok 1,000 units of empirical probability
so the good ones
1,000/100=1
10= 1 percent
10*97=970
970
Empirical probability is the probability based on past experience
Part A
The percentage chance of finding a defective headset is 2.5%Part B
The expected empirical probability is approximately 0.03The reason for arriving at the above values is as follows:
Part A
The known parameters are:The percentage of the daily headset produced the manufacturer found defective = 3%
The number of headset tested by the manufacturer = 280 units
The number of headsets found without defect = 273 headsets
Method:Using the formula for percentage, calculate the percentage defect
The percentage chance of finding a defect = [tex]\mathbf{\dfrac{Number \ of \ dfect }{Number \ of \ Headset} \times 100}[/tex]
Where;
dfect = defect
Solution:The percentage chance of finding a defect = [tex]\dfrac{280 - 273}{280} \times 100 = \mathbf{2.5 \%}[/tex]
The percentage chance of finding a defect = 2.5%
Part B
The known parameters;The theoretical model of the number of defective headset produced = The stated (description) percentage of defective headset produced = 3% defective
The given number of units tested, n(T) = 1,000 units
Method:Calculate expected number of defects and empirical probability using formula
Solution:The expected number of defects, n(D) ≈ 3% of 1,000 = (3/100) × 1,000 = 30
The expected number of defective headset found, n(D) ≈ 30
[tex]The \ 'expected' \ empirical \ probability = P(D) \approx \mathbf{\dfrac{n(D)}{n(T)}}[/tex]
Therefore;
[tex]\mathbf{'Expected' \ empirical \ probability} = P(D) \mathbf{\approx \dfrac{30}{1,000} }= 0.03[/tex]
The expected probability of finding a defect P(D) ≈ 0.03
Learn more about empirical probability here:
https://brainly.com/question/15412351
I ANSWERED A AND B. I ONLY NEED THE ANSWER TO C. PLEASE HELP :(
Answers
Answer:
1.5
Step-by-step explanation:
Please correct me if I'm wrong. :)
1.2x5= 6
12-6=6
Therefore it would be 1.2
Someone help plz right answer gets to be brainliest
Answers
2)E
3)B
4)G
If you have any questions let me know:)
Which quadrilateral has diagonals that are both congruent and perpendicular?
Answers
Answer:
Rhombu is the answer
Answeris rhombus
Which part is the y-intercept in this equation? y=3x+9
Answers
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Rachel signed up for a frequent-flier program. She receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?
Answers
Answer: 13800 frequent-flier miles
Step-by-step explanation:
From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.
The number of frequent-flier miles she will she have after 5 round-trips will be:
= 4300 + 1900(5)
= 4300 + 9500
= 13800 frequent-flier miles
y=1/3x+2 and on a graph
Answers
Using the slope:1/3 and y intercept:2
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
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r = 35
discount mark ups and mark downs! PLZ PKZ HELP DUE IN 10 MINS!!!!!
7. $40 game; 30% off; 5% tax
Answers
Answer:
where is the question????
if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)
Answers
Answer:
i think its -10
Step-by-step explanation:
hope im not wrong
4/5 divided by 3/7 :))
Answers
Answer:
1.86666666667
Step-by-step explanation:
Answer:
1 13/15
Step-by-step explanation:
If an plane can fly around the earth at the equator without stopping. It would have traveled about 24,900 miles. Find the radius of the earth.
Answers
Step-by-step explanation:
This equation gives circumference (24900 miles). Knowing this the formula to start off finding radius is
[tex]c=2\pi r[/tex]
we know c(circumference) and we know pi(3.1415926535...)
so move the numbers to isolate r(radius) to look something like this
[tex]\frac{c}{2\pi } =r[/tex]
input the known values then solve.
[tex]\frac{24900}{2\pi } =r[/tex]
[tex]\frac{12450}{\pi } =r[/tex]
[tex]3962.95808... =r[/tex]
(round this to whatever value you are looking for)
Hope This Helps :)
What is the value of the function f(x) = 7x when x = 0.75? *
Answers
Answer:it is -1
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
As per the question, we have
f(x)=7x
at x=0.75
f(0.75)=&(0.75)
f(0.75) = 7 x 75/100 (this is a fraction)
f(0.75)= 525/100 (this is a fraction)
f(0.75)=5.25
Hence, the value of f(x)=7x at x=0.75 is 5.25
Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
16.7 percent decrease.
Step-by-step explanation:
Difference in value = 150,000 - 180,000
= -30,000
As a percent this = (-30,000 / 180,000) * 100
= -0.1667 * 100
= -16.67
Answer:
15.5 repating or 18.4%
Step-by-step explanation:
SORRY
What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?
Answers
y=-2x+1
the line we are finding the equation for is PARALLEL to this line here so the slope is the same
for the line’s equation we will put it in point slope form. y-y1=m(x-x1)
y-2=-2(x+2) is the answer!
An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
To learn more about an equation of the line visit:
https://brainly.com/question/14200719.
#SPJ5
Solve for x in the parallelogram
Answers
See attachment for math work.
The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?
Answers
44%
I hope this helped!!!
Answer:
ummmmmmmmm 44?
Step-by-step explanation:
3-⁶x (3^4 ÷ 3⁰)²
simplify
Answers
Answer:
Step-by-step explanation:
– 634302
Mrs. Jawahir spends $9.45 on 5 greeting cards. Each card costs the SAME amount. How much did she pay for one greeting card?
Answers
Answer:
$1.89 for each Card.
Step-by-step explanation:
The answer is 1.89 because 9.45 divided by 5 is 1,89
Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?
Answers
Answer:
$475.17
Step-by-step explanation:
Step one:
given data
rate= 3.5% = 0.035
final amount A= $670
time= 10 years
Required
The principal invest P
Step two:
A= P(1+r)^t
substitute
[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]
divide by 1.41
[tex]P= 670/1.41\\\\P=475.17[/tex]
The invested principal is $475.17
Answer:
500
Step-by-step explanation:
its on delta math
Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(-8,-5) (-2, -5)
Answers
Answer:
I believe the answer is -6,0
HELPPP!!! ALGREBRA!!!
Answers
Answer:
a
Step-by-step explanation:
Hope his helps
Helppp!
Three sides of a triangle are 35 cm , 42 cm, and 70 cm . What is the ratio of the sides of the triangle?
A. 5:6
B. 70:84:140
C. 5:6:10
D. 7:6:42
Answers
Help PLz ignore three i need help on 4
Answers
Answer:
Step-by-step explanation:
Remark
The best way to find the slope is to take the two points that are marked.
(5,3) and (0,-1)
Formula
m = (y2 - y1)/(x2 - x1)
Givens
y2 = 3
y1 = -1
x2 = 5
x1 = 0
Solution
m = (3 - -1)/(5 - 0)
m = (3+1) / 5 = 4/5
the line parallel to the line in the graph would be the new with a slope equal to the given line.
The perpendicular to this line would have a slope of
m * m1 = -1
4/5 * m1 = - 1 Multiply by 5
4 * m = -5 Divide by 4
m = -5/4
A line perpendicular to the given line would have a slope of -5/4
PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14?
Answers
Answer
The third table has a gradient of 20, so third table is one of them.
The other one is the last case, For an hour, Fahim earning $1010 so that is the rate per hour.
Step-by-step explanation:
Which inequality is represented by this graph?
Answers
Answer:
The answer is D
Step-by-step explanation:
The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to
hope this helped :)
pls i really need this 20 points I will give brainliest
A rectangle is shown on the coordinate grid.
On a coordinate plane, side d has points (negative 4, 3) and (0, 5), side a has points (0, 5) and (3, negative 1), side b has points (3, negative 1) and (negative 1, negative 3), and side c has points (negative 1, negative 3) and (negative 4, 3).
Which equation represents the side that is parallel to side d?
y = 2 x + 5
y = negative 2 x + 5
y = one-half x minus five-halves
y = negative one-half x minus seven-halves
Answers
Answer:
B
Step-by-step explanation:
I hope this helps!
Answer:
The correct answer is B!
Step-by-step explanation:
Slopes of Parallel and Perpendicular Lines Pre-Test Answers:
1: B 8: B
2: A, C, G 9: 1
3: C 10: B
4: A Hope this helps!
5: B
6: C
7: B
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answers
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.