Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.y < -x - 1y < 1/5x + 7
Answers
SOLUTION
Given the question, the following are the solution steps to answer the question.
STEP 1: Write the given inequalities
[tex]\begin{gathered} y<-x-1 \\ y<\frac{1}{5}x+7 \end{gathered}[/tex]STEP 2: Plot the graph of both inequalities
For the first inequality
For the second inequality
STEP 3: Plot the two inequalities on the graph to get the solution set.
The coordinates of a point in the solution set can be given as:
[tex](-10,1)_{}[/tex]
Related Questions
find the lateral area, surface area, and volume of the following figure. leave answer in simplest radical form or in terms of pi. round to the nearest tenth. Solve for the lateral surface area
Answers
Given:
The dimensions of the rectangular prism :
length(l)= 5 in
width (w) = 2 in
height (h) = 3 in
The formula for the lateral surface area L.A of a rectangular prism is:
[tex]L.A\text{ = 2\lparen l + w\rparen h}[/tex]Substituting the given values into the formula:
[tex]\begin{gathered} L.A\text{ = 2}\times\text{ \lparen5 + 2\rparen }\times\text{ 3} \\ =\text{ 42 in}^2 \end{gathered}[/tex]Answer: 42 square inch
Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST?Question options:A) 6∕7B) 5∕4C) 5∕6D) 6∕5
Answers
To determine the scale factor from EDGF to QRST:
[tex]\begin{gathered} \text{EDGF = }35\text{ } \\ \text{QRST = 42} \end{gathered}[/tex]The Quadrilateral QRST is similar to quadrilateral EDGF with a scale factor:
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}[/tex]The scale factor =
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}=\frac{6}{5}[/tex]Therefore the scale factor from EDGF to QRST = 6/5
Hence the correct answer is Option D
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?A -4/3 B -3/4C 3/4D 4/3
Answers
The slope calculated with points M(1, 3) and N(5, 0) is:
[tex]undefined[/tex]Answer:
B
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = ) = M (1, 3 ) and (x₂, y₂ ) = N (5, 0 )
m = [tex]\frac{0-3}{5-1}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]
1. What theorem allows you to prove line f is parallel to line g? For what value of x is line f parallel to line g? I NEED FULL DETAIL
Answers
The value of x that will make the line f parallel to line g is 6.
The theorem that allows you to prove line f is parallel to line g is corresponding line theorem.
How to find angles when parallel lines is cut by transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The theorem that prove the line f is parallel to line g will make the two angles equal.
15x + 9 = 21x - 27
f and g will be parallel and cut by the transversal line h when
15x + 9 = 21x - 27
15x - 21x = -27 - 9
- 6x = -36
x = -36 / -6
x = 6
Therefore, corresponding angle theorem prove line f is parallel to line g and the value of x is 6 to make line f and g parallel.
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Which is the approximate percentage change in water constant after maple tree sap became maple syrup?
Answers
Looking at the graphs, the maple tree sap has 98% of water, while the maple syrup has 33% of water.
That means the amount of water decreased by:
[tex]98\%-33\%=65\%[/tex]Therefore maple tree sap has 65% more water than maple syrup.
Correct option: first one.
Pigeons once used to be welcome at Trafalgar Square and the public were encouraged to feed them. This gave a good opportunity to estimate the pigeon population in London. At one point 84 pigeons were caught and tagged. Two days later, 120 pigeons were caught in Trafalgar Square and it was found that 3 of the pigeons were tagged. Approximately how many pigeons were there in London?
Answers
A total of 201 pigeons are there in London as determined by set theory.
What is Set Theory?
The area of mathematical logic known as set theory examines sets, which are essentially collections of objects.Set theory is an area of mathematics that primarily deals with objects that are pertinent to mathematics as a whole, despite the fact that any form of an object can be gathered into a set.The pigeon caught in the first attempt=84
No. of them tagged=84
⇒Set A=84
Pigeon caught in second attempt =120
⇒Set B=120
No. of them found tagged=3
No. of Pigeons in London = Set A∪Set B-3
84+120-3=201
A total of 201 pigeons are there in London as determined by set theory.
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Zion has an 80:1 scale-drawing of the floor plan of his grandmother’s house. On the floor plan, the dimensions of his grandmother’s rectangular living room are 1 inches by 2 inches. 8721 What is the area of his grandmother’s real living room in square feet?
Answers
1) Gathering the data
80:1 scale
On the floor plan : width: 1 inch x 2 inches
2) Let's find the real area of the living room by setting a proportion:
Since on the fo
31.What is the surface area of the cylinder?
Answers
Hello there. To solve this question, we'll have to remember some properties about cylinders.
We want to determine the surface area of the following cylinder:
In this case, the surface area comprehends the bottom, the top and the lateral area of the cylinder.
For a cylinder with height h and radius R, it is easy to show that
By redrawing the cylinder as the following figures:
Notice the 2pi * R came from the measure of the circumference of the top and bottom circles.
The area of the circles are given as
[tex]\pi\cdot R^2[/tex]And the area of the rectangle is
[tex]2\pi Rh[/tex]So the surface area of this cylinder is given as
[tex]2\pi R^2+2\pi Rh[/tex]Plugging the values R = h = 1.5 m, we'll get
[tex]2\pi\cdot1.5\cdot(1.5+1.5)=9\pi\approx28.27\text{ m}^2[/tex]In this case, the answer is 9pi and it is contained in the 4th option.
Additional memory for your computer sells for $109.99 with a $10.00 mail-in rebate. What is the final price after the rebate if an envelope costs $0.35 and a 'forever' postage stamp costs $0.41?
Group of answer choices
$99.99
$10.76
$109.23
$100.75
Answers
Answer: D (100.75 $)
Step-by-step explanation: the price is initially $109.99, and a mail-in rebate is almost a coupon, getting you $10 dollars off, making it $99.99 But then with the extra expenses of the envelope and stamp, you add 76 cents, making it $100.75
a number m is no less than -1 or less than or equal to -5 1/3
Answers
Answer:
Step-by-step explanation:
y=5 1/3 can be expressed in infinite ways
PREMISES
y=5 1/3 expressed as a fraction
CALCULATIONS
The mixed number 5 1/3 can be written in various ways:
y=5 1/3
y=
(.25/.046875, .5/.09375, 1/.1875, 2/.375, 4/.75, 8/1.5, 16/3 as improper fractions or 5.3333 repeating as a decimal fraction]
Calculate (A) the average daily balance and (B) the finance charge. (Round your final answer to the nearest cent.)
30 Day Billing Cycle
4/20 Billing date previous balance $ 800
4/27 Payment 100
4/30 Charge 300
5/9 Payment 50
5/12 Cash advance 200
Answers
The average daily balance and the finance charge will be $958.33 and $9.58 respectively.
How to compute the finance?Average Daily Balance will be calculated thus:
7 * $800 = $5,600
3 * $700 = $2,100
9 * $1,000 = $9,000
3 * $950 = $2,850
8 * $1,150 = $9,200
Total = $28,750
Average Daily Balance = Total amount / Number of period
= $28,750/30
= $958.33
Finance Charge:
= $958.33 * 0.01
= $9.58
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Jamie earned 18 more points on her test than Paul earned. Their points add up to 60. How many points did each student earn?
Answers
Answer:
Paul earned 21 points and Jamie earned 39 points.
Step-by-step explanation:
So, you start off with 60-18=42. Now, you have how much they earned minus Jamie's bonus 18. So, now that they have earned the same amount, you divide 42/2=21. So, now you know how many points Paul earned, 21, and now you just have to add the points Jamie earned that Paul didn't back to their score. 21+18=39
how much money will be in a bank after three years if nine dollars is deposited adding interest rate of 5% compounded annually? Round to the nearest cent.
Answers
ANSWER
[tex]10.45[/tex]EXPLANATION
Given;
[tex]\begin{gathered} p=9 \\ I=5 \\ t=3 \end{gathered}[/tex]Recall, the compound interest formula;
[tex]A=P\cdot \left(1+\frac{r}{n}\right)^{nt}[/tex]Substituting the values into the formula;
[tex]\begin{gathered} A=P\cdot \left(1+\frac{r}{n}\right)^{nt} \\ =9\left(1+\frac{5\%\:}{12}\right)^{12\cdot\:3} \\ =9\left(1+\frac{0.05}{12}\right)^{12\cdot\:3} \\ =9(1+0.00416)^{36} \\ =9\times1.16147 \\ =10.45325 \\ \cong10.45 \end{gathered}[/tex]Therefore, the amount in the bank account after 3 years will be $10.45
Solve for x. 2x + 3 = 3 - (4x + 12)
Answers
For the equation, 2x + 3 = 3 - (4x + 12), the value for x is -2.
Linear Equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.
The given equation is 2x + 3 = 3 - (4x + 12)
We have :
2x + 3 = 3 - (4x + 12)
Opening the brackets as a 1st step,
2x +3 = 3 - 4x -12
Keeping all the variable terms on one side,
2x +4x = 3 - 12 - 3
Adding the variables and nonvariables, we get:
6x = -12
Now, Dividing both sides by 6,
[tex]x = \frac{-12}{6} = -2[/tex]
Hence, the value of x is -2.
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A) 104 units^2 B) 2184 units^2 C) 248 units^2 D) 250 units^2
Answers
First find the perimeter of the rectangle
P = 2(l+w) where l is the length and w is the width
P = 2( 5x-1+x)
Combine like terms
P = 2( 6x-1)
P = 12x -2
Find the perimeter of the triangle
P = s1 + s2 +s3 where s is the side length
P = 5x+12+ 6x+7
Combine like terms
P = 11x+19
We are told the perimeters are equal
12x-2 = 11x+19
Subtract 11x from each side
12x-2 -11x = 11x+19-11x
x-2 = 19
Add 2 to each side
x-2+2 = 19+2
x = 21
The side lengths of the rectangle are
x=21 and 5x-1 = 5*21 -1 = 105-1 = 104
We can find the area
A = l*w where l is the length and w is the width
A = 21 * 104
A = 2184 units^2
Answer:
B 2184 units^2
Solve the inequality />
Answers
d > 105
Explanations:The given inequality is:
[tex]\frac{d}{7}>\text{ 15}[/tex]Multiply both sides by 7:
[tex]7\text{ }\times\frac{d}{7}>\text{ 15}\times7[/tex][tex]d\text{ > }105[/tex]A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 13.6 inches, and standard deviation of 2.2 inches.
If 38 items are chosen at random, what is the probability that their mean length is greater than 13.7 inches?
(Round answer to four decimal places)
Answers
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
What is probability?
Probability is simply the possibility that something will happen. When one doesn't know how something will turn out, one can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
A Z-score is a metric that quantifies how closely a value relates to the mean of the set of values. Standard deviations from the mean are used to measure Z-score.
Given that mean of 13.6 inches, and standard deviation of 2.2 inches.
mean, m=13.6
standard deviation, s=2.2
mx=m=13.7
Sample size,n=38
sx=s/√n=2.2/√38=0.356
P(x<13.6)=P(x-m/s < 13.7-13.6/0.356)
P(Z< -0.2809)
=0.399
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
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Triangle A(1, 2), B(3, 2), C(2, 4) is rotated 90
degrees around the origin. What are the
coordinates of A'B'C'?
Answers
The coordinates of the transformed figure are: A ’(-1, -2), B ’(-3, -2), C ’(-2, 4)
When a shape is rotated, it must be rotated through a point, here itis rotated around the origin
The coordinates of the triangle is given as:
A(1, 2), B(3, 2), C(2, 4) is rotated 90 degree
The rule of 90 degrees clockwise rotation is:
x, y = -x, -y
So, we have:
A(1, 2) which becomes (-1, -2)
B(3, 2), which becomes (-3, -2)
C(2, 4) which becomes (-2, -4)
Hence, the coordinates of the transformed figure are:
A ’(-1, -2), B ’(-3, -2), C ’(-2, 4)
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GEOMETRY IAWhat is the coordinate of the midpoint of RP?
Answers
1) Examining the number line, we know that RP is a line segment. And the midpoint is located at half the segment RP.
2) Then on the number line we can write out, the following:
We can take the average of those points -8 and -1
[tex]\frac{-8+(-1)}{2}=\frac{-8-1}{2}=-\frac{9}{2}[/tex]
3) Hence, the midpoint of this line segment RP is -9/2 or -4.5
Write a verbal expression for each algebraic expression.
a. 6
b. – 12m
Answers
The verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
An Algebraic Expression can be defined as an expression that is made up of constants and variables linked with mathematical operators.
For Example : 2x+3y is an algebraic expression.
In the question ,
the algebraic expression are given as ,
Part(a)
6 ,
the verbal expression ,of the algebraic expression 6 is " number six " .
Part(b)
-12m
On Analyzing , we can say "12m" in simple language is "twelve times a number m ",
the sign "-" , means negative
Altogether , we can say that "-12m" means negative twelve times a number m .
Therefore , the verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
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need help for answer:10n=1/4+3/20n
Answers
Answer:
5/197
Step-by-step explanation:
Please look at the image below!
Answer: n=5/197
Step-by-step explanation:
23. Express the following ratios in the form 1:n
(a) 1/3: 1/5
Answers
Answer:
1 : 3/5
Step-by-step explanation:
1/3 : 1/5
3/3 : 3/5 (multiply both sides of the colon by 3)
1 : 3/5 (simplify)
9 1 point Jonah has 20 nickels and dimes. In total, he has $1.75. Use question 7 to find out how many dimes Jo Type your answer... Previous
Answers
Answer:
Jonah has 15 dimes.
Step by step explanation:
Since question 7, tells us that we have to use the following equations to solve the system:
Let x be the nickels
Let y be the dimes
[tex]\begin{gathered} x+y=20\text{ (1)} \\ .05x+.10y=1.75\text{ (2)} \end{gathered}[/tex]We can use the substitution method to solve the system, isolate y in equation (1), and then plug it into equation (2)
[tex]y=20-x\text{ (1)}[/tex][tex]\begin{gathered} .05x+.10(20-x)=1.75 \\ \end{gathered}[/tex]Now, solve for x.
[tex]\begin{gathered} .05x+2-.10x=1.75. \\ -.05x=1.75-2 \\ -.05x=-0.25 \\ x=\frac{-0.25}{-0.05} \\ x=5 \end{gathered}[/tex]That means Jonah has 5 Nickels. Now to solve for y(dimes), substitute x=5 into equation (1)
[tex]\begin{gathered} y=20-x \\ y=20-5 \\ y=15 \end{gathered}[/tex]Jonah has 15 dimes.
Solve the inequality. 4. 91 ≤ x + 265. x/4 < 8.46. 60 < 0.5x7. x - 2.3 < 6.6 8. x + 2.3 ≤ 5.7
Answers
4) The given inequality is
91 ≤ x + 26
We would solve for x by subtracting 26 from both sides of the inequality. We have
91 - 26 ≤ x + 26 - 26
65 ≤ x
By reversing the inequality, it becomes
x ≥ 65
A hacker is trying to guess someone’s password. The hacker knows (somehow) that the password is ) digits long, and that each digit could be a number between 0 and 4 assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try?
Answers
Step-by-step explanation:
easy the hacker got the password by hacking maybe he is bot so he gusss it but if he guss it he may got brainlist answer mark me ok so he got 2312
Rewrite loge u + 6 loge v using properties of logarithms.A. logeOB. loge5/► ³/8 3/8uOC. logeOD. loge (uv")Reset Selection
Answers
We ill have the following:
[tex]\begin{gathered} log_6u+6log_6v\Rightarrow log_6u+log_6v^6 \\ \\ =log_6(uv^6) \end{gathered}[/tex]Solve for x.×+8=-6 what's the answer
Answers
The equation is
[tex]x+8=-6[/tex]Since we have a "+8" in the left side, we can substract 8 in both sides to get rid of it, which will solve the equation:
[tex]\begin{gathered} x+8=-6 \\ x+8-8=-6-8 \\ x=-14 \end{gathered}[/tex]Find the area of the triangle belowunits given are cm, cm^2, cm^3
Answers
Answer:
[tex]A_T=150cm^2[/tex]Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:
[tex]A_T=\frac{1}{2}(b\times h)[/tex]Therefore in the information given we have the following:
[tex]\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}[/tex]Therefore the Area of this triangle is as follows:
[tex]\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}[/tex]Note! Units are centimeter-squared
hey, I would like to know how to this problem
Answers
Given:
Graph is given.
Insecting point of two lines is (1,2.5)
[tex]\text{Solution : (1,2.5)}[/tex]what is 18 x 12657=? hhhhhhhhhhhheeeeeellllllppppppppppppppp
Answers
Answer:
227826
i used a calculator
18 x 12,657= 227,826
Please comment if you have further questions to this problem.
