Answers
y = x
y = -x
We then have to evaluate points that belong to the shaded region:
For (0, 1) we have:
1> = 0
1> = - 0
We observe that both equalities are fulfilled, therefore, we have that the inequalities are:
y> = x
y> = - x
Answer:
y> = x
y> = - x
option D
Related Questions
Find 3 consecutive odd numbers where the product of the smaller two numbers is 46 less than the square of the largest number.
Answers
___________________________________________________
Explanation:
___________________________________________________
Let the "3 consecutive odd numbers" be represented by:
___________________________________________________
"x" ;
___________________________________________________
"x + 2 " ;
___________________________________________________
"x + 4 " ;
___________________________________________________
→ Solve for "x" ; and then solve for "(x + 2)" and "(x + 4)" .
___________________________________________________
The product of the smaller two numbers, is "46 less than" (the square of) the largest number:
___________________________________________________
→ " x* (x + 2) = (x + 4)² − 46 " ;
___________________________________________________
Note the "distributive property" of multiplication:
___________________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab − ac .
___________________________________________________
Start with simplifying the "left-hand side" of the equation:
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" x(x + 2)" = (x * x) + (x * 2 ) = (x² + 2x) ;
___________________________________________________
Then simplify the "right-hand side" of the equation:
___________________________________________________
" (x + 4)² − 46 " ;
___________________________________________________
→ (x + 4)² = (x + 4) (x + 4) ;
Note: " (a + b)(c + d) = ac + ad + bc + bd " .
→ (x + 4)² = (x + 4) (x + 4) = (x *x) + (x *4) + (4 *x) + (4 * 4) ;
= x² + 4x + 4x + 16 ;
= x² + 8x + 16;
→ Bring down the " − 46 " ;
___________________________________________________
→ x² + 8x + 16 − 46 ;
= x² + 8x + 16 − 46 ;
= x² + 8x − 30 ;
____________________________________________________
Now, rewrite the entire equation:
____________________________________________________
→ x² + 2x = x² + 8x − 30 ;
Subtract "x² " & "2x" from EACH SIDE of the equation:
→ x² + 2x − x² − 2x = x² + 8x − 30 − x² − 2x ;
to get:
→ 0 = 6x − 30 ;
→ 6x − 30 = 0 ;
Add "30" to each side of the equation:
→ 6x − 30 + 30 = 0 + 30 ;
→ 6x = 30 ;
Divide each side of the equation by "6" ;
to isolate "x" on each side of the equation; & to solve for "x" ;
→ 6x / 6 = 30 / 6 ;
to get;
→ x = 5 ;
→ "(x + 2)" = "(5 + 2)" = 7 ;
→ "(x + 4)" = "(5 + 4)" = 9 ;
______________________________________________________
Answer: The numbers are: " 5, 7, and 9 " .
______________________________________________________
HELP!!! - The lunch special at a diner is a bowl of soup with either a salad or a sandwich. The diner offers chicken noodle, potato, or lentil soup as part of the special. Which statement best describes how this tree diagram represents the number of different ways the lunch special can be ordered?
A: The diagram is flawed because it should show there are four different ways the special can be ordered.
B: The diagram is flawed because it should show there are five different ways the special can be ordered.
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
D: The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.
Answers
The correct answer is C) The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Answer:
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Step-by-step explanation:
someone help me, please :)
Answers
g(x)=x^2-5
(f . g)(x)=?
(f . g)(x) = f(x) . g(x) = (4x+1).(x^2-5)=(4x).(x^2)+(4x).(-5)+(1).(x^2)+(1).(-5)
(f . g)(x) = 4x^(1+2)-20x+x^2-5
(f . g)(x)=4x^3+x^2-20x-5
Answer: Option A. 4x^3+x^2-20x-5
Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.
Answers
0-(-2)
Here, m = ------------- = 1/4
8 - 0
y-k = m(x-h) becomes y+2 = (1/4)(x), or y = (1/4)x - 2
Then the desired equation is y = (1/4)x - 2 (slope-intercept form)
The equation of the straight line whose x - intercept = 8 and
y - intercept = - 2 is y = x/4 - 2.
What is the slope intercept form of a straight line?
The slope - intercept form of a straight line is -
y = mx + c
Given is the equation of the line whose x-intercept is 8 and y-intercept is -2.
The given intercepts are -
x - intercept = 8
y - intercept = - 2
Then, the coordinates of the points through which the line passes are -
(0, -2) and (8, 0)
The slope of this line will be -
m = 0 - (- 2)/8 - 0
m = 2/8
m = 1/4
So the equation of the straight line will be -
y = x/4 - 2
Therefore, the equation of the straight line whose x - intercept = 8 and
y - intercept = - 2 is y = x/4 - 2.
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How much money must be deposited today to become $1300 in 20 years at 7.5% compounded continuously?
Answers
A = Pe^(rt)
Here A = $1300, r = 0.075 and t = 20 yrs. Thus,
1300 = P*e^(0.075*20), or 1300 = P (4.482).
$1300
Solving for P: P = ----------------- = $290.07 (answer)
4.482
Given the two expressions shown below:
A. \sqrt{3} +\sqrt{2}
B. \sqrt{3} +\sqrt{6}
Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
Answers
Answer: Both are irrational.
Ross and 5 of his friends are going kayaking. They rented 6 kayaks for 420. then they brought food for all 6 people , which costs 144. if all 6 people shared the cost 144. if all 6 people shared the cost of the trip equally, how much did each person pay?
A. 70
B.76
C.88
D.94
please help me
Answers
adding $420 + $144 = 564
then divide 564 and 6 to get 94.
Answer:
its $95
Step-by-step explanation:
i got it right
One maid can clean the house in 3 hours. Another maid can do the job in 6 hours. How long will it take them to do the job working together?
Answers
The number of hours if they worked the job together will be 2 hours.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
One maid can clean the house in 3 hours. Another maid can do the job in 6 hours.
We know that work and time are inversely proportional to each other.
Let T be the total time taken. Then the equation will be
1/T = 1/3 + 1/6
1/T = (2 + 1) / 6
1/T = 3 / 6
T = 6 / 3
T = 2
The number of hours if they worked the job together will be 2 hours.
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How do I do this ??
Answers
-4x^2 *-7 = +28x^2
So since you can’t add them together the answer is the second one
A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square yards. find the width of the lawn that surrounds the garden.
Answers
A = (40 + 2x) * (35 + 2x) - (40) * (35)
Where,
x: width of the lawn
Substituting the value of the area we have:
316 = (40 + 2x) * (35 + 2x) - (40) * (35)
Rewriting:
316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
Rewriting we have:
4x ^ 2 + 150x - 316 = 0
Solving the polynomial we have:
x1 = - 79/2
x2 = 2
Taking the positive root we have that the grass width des:
x = 2 yards
Answer:
The width of the lawn that surrounds the garden is:
x = 2 yards
The width of the lawn surrounding the garden is 2 yards.
Let's denote the width of the lawn as "w" yards.
The dimensions of the garden are 40 yards by 35 yards. Including the lawn, the dimensions become:
Length: 40 + 2w yards
Width: 35 + 2w yards
The area of the rectangle including the garden and the lawn is:
(40 + 2w) × (35 + 2w) square yards
The area of the garden itself is:
40 × 35 = 1400 square yards
The area of the lawn alone is:
Total area - Area of the garden = 316 square yards
Therefore:
(40 + 2w) × (35 + 2w) - 1400 = 316
Expand the left side of the equation:
= (40 + 2w)(35 + 2w)
= 40 × 35 + 40 × 2w + 35 × 2w + 2w × 2w
= 1400 + 80w + 70w + 4w²
= 1400 + 150w + 4w²
Set up the equation:
= 1400 + 150w + 4w² - 1400 = 316
= 150w + 4w² = 316
Rearranging the equation:
4w² + 150w - 316 = 0
Solve this quadratic equation using the quadratic formula:
w = (-b ± √(b² - 4ac)) / 2a
Here, a = 4, b = 150, and c = -316
Calculate the discriminant:
= b² - 4ac
= 150² - 4 × 4 × (-316)
= 22500 + 5056
= 27556
√27556 ≈ 166
Therefore:
w = (-150 ± 166) / 8
This gives two potential solutions:
w = (16 / 8) = 2
w = (-316 / 8) (not valid as width cannot be negative)
I WILL MARK BRAINIEST 25 POINTS Find the area of trapezoid BCDE.
A) 12 5/8 in2
B) 13 7/8 in2
C) 16 1/8 in2
D) 18 5/6 in2
Answers
13.875 in a fraction is B. 13 7/8 in^2
Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. six are jelly-filled, 6 are lemon-filled, and 12 are custard-filled. you randomly select one donut, eat it, and select another donut. find the probability of selecting two custard-filled donuts in a row.
Answers
= 540/552
= 90/92
= 45/46 (Final Answer)
The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Step 1: 88π = 1/3 πr² (8)
Step 2: 88π = 8/3 πr²
Step 3: 8/3 (88) = r²
Step 4: 234.7 = r²
Step 5: 15.3 =r
What is Fatima's error?
- In step 4, Fatima did not find the correct value of 8/3 (88).
- In step 2, Fatima should not have multiplied 1/3 and 8.
- In step 3, Fatima did not multiply 88 by the reciprocal of 8/3
- In step 1, Fatima did not substitute the correct value for the height in the formula.
Answers
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5
get the square root
r=√33
Thus the mistake that Fatima made was:
In step 3, Fatima did not multiply 88 by the reciprocal of 8/3
Answer:
step 3
Step-by-step explanation:
took test
Find the quotient. 6^8/6^6
Answers
To find this, first you divide 6 (numerator) by 6 (denominator) to get 1. Then you subratct the power of 6, from the power of 8, to get 2. Thus getting a final answer of 1^2.
I hope this helps!
Because 8 - 6 = 2
Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, he needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in.
Which estimate best approximates the volume of a basketball?
5×10^1 in³5×10^2 in³
5×10^3 in³
5×10^4 in³
Answers
The volume of a sphere is given by
[tex]V= \frac{4}{3} \pi r^3[/tex]
Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.
Thus, the volume of the basketball is given by
[tex]V= \frac{4}{3} \pi(5)^3 \\ \\ = \frac{4\times125}{3} \pi=523.6\ in^3[/tex]
Therefore, The best approximate of the volume of the basketball is [tex]5\times10^2\ in^3[/tex]
LAST TIME I POST THIS QUESTION
Solve the triangle: α = 58°, a = 9, b = 15.
Answers
What will it cost to tile a rectangular floor measuring 231 feet by by 37 feet if the tile costs $ 14 per square foot?
Answers
area of rectangular floor=231*37-----> 8547 ft²
if the tile costs $ 14 per ---------------> 1 ft²
x----------------------------------> 8547 ft²
x=8547*14-----> x=$119658
the answer is
$119658
The total cost to tile a rectangular floor measuring 231 feet by 37 feet, with tile costing $14 per square foot, will be $119,658.
Explanation:To find the cost of tiling a rectangular floor, first, calculate the area of the floor which is the length times the width. In this case, the rectangle is 231 feet by 37 feet so its area is 231 x 37 = 8,547 square feet.
With the tile costing $14 per square foot, the total cost will be the area of the floor times the cost per square foot. This can be calculated by multiplying 8,547 square feet x $14 per square foot = $119,658.
Therefore, the total cost to tile the rectangular floor will be $119,658.
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A museum opened at 8:00am.In the first hour 350 people purchased admission tickets.In the second hour 20% more people purchased admission tickets than in the first hour.Each admission ticket cost 17.50. What was the total amount of money paid for all the tickets purchased in the first two hours?
Answers
Ticket sold in the second hours:
320+(320×20)/100=384
Money for the second hour: 384×17.5=6720
Total money: 6125+6720=12845
Hope this helped.
In the second hour, there were 20% more people:
20% of 350 = 0.2 x 350 = 70
Number of people = 350 + 70 = 420
Amount collected at the second hour = 420 x $17.50 = $7350
Total = $6125 + $7350 = $13475
Answer: $13475
shawna and amanda are selling pies for a school fundraiser. customers can buy cherry pies and pumpkin pies. shawna sold 1 cherry pie and 3 pumpkin pies for a total of $55. amanda sold 3 cherry pies and 3 pumpkin pies for a total of $69. what is the cost of each one cherry pie and one pumpkin pie?
PLEASE SHOW WORK
Answers
Shawna: c + 3p = 55
Amanda: 3c + 3p = 69
We want to find the cost of c + p. To do this, the easiest way is to divide the second equation by 3:
(3c + 3p)/3 = 69/3
c + p = 23
Therefore, 1 cherry pie & 1 pumpkin pie cost $23.
Damien bowled 5 games, His scores were:
82, 83, 65, 84, 76.
What is Damien's mean bowling score?
Please hurry! On a time limit!
Answers
To find the mean we need to add up all the values and divide it by the amount of games he played.
82 + 83 + 65 + 84 + 76 = 390
390/5
Mean = 78
To find Damien's mean bowling score, we add up his scores and divide by the number of games played. The mean bowling score is 78.
Explanation:To calculate Damien's mean bowling score, we need to find the sum of all his scores and divide it by the total number of games played. Damien's scores are 82, 83, 65, 84, and 76.
Adding these scores together we get: 82 + 83 + 65 + 84 + 76 = 390.
Then, divide the sum by the total number of games played: 390 ÷ 5 = 78.
Therefore, Damien's mean bowling score is 78.
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The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5%. assume that a sample size of 40 people was surveyed from the population an infinite number of times. 95% of the sample mean occurs between % and %. nextreset
Answers
Sample size, N = 40
Standard deviation, SD = 3.5% = 0.035
Confidence = 95%
At 95%, Z = 1.96
Range of true mean, x_bar = p +/- Z*Sqrt [p(1-p)/N] = 0.57+/- 1.96*Sqrt[0.57(1-0.57)/40] = 0.57+/- 0.153
Therefore,
x_bar ranges between 0.417 and 0.723 or 41.7% and 72.3%
What are the zeros of f(x) = x2 + 3x – 10?
A. x = –5 and x = 2
B. x = 5 and x = 2
C. x = –5 and x = –2
D. x = 5 and x = –2
Answers
Factor f(x)
f(x) = (x + 5)(x - 2)
Step Two
The zeros occur when either (x + 5) = 0 or (x - 2) = 0
x + 5 = 0
x = -5
x - 2 =0
x = 2
Step 3
Record the zeros
(-5,0) or (2,0) <<<<<< answer.
A scatter plot has a correlation coefficient of -0.159. What does this suggest about the relationship between the two variables?
Answers
the value of r is closer to 0 than it is to -1, so the data is very weakly linear associated. The scatter plot points are too spread out for one single line to be close to them all. A different curve (such as a parabola) may be a better fit.
The fact that r is negative suggests that there is negative association. What this means is that as x goes up, y goes down. As you move from left to right, you go downhill. The regression line will have a negative slope.
In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square with a side length of 4.80 inches. Which statement is true?
Answers
the options of the question in the attached figure
we know that
area of a square=b²
b is the length side of a square
Area=24 in²
24=b²-----------> b=√24 in-----> b=2√6 in-----> b=4.90 in
if Kevin cuts a square with a side length of 4.80 inches
so
4.80 < 4.90
therefore
the answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required
Answer:
The side length of the square Kevin cuts is slightly less than the length the instructor required
Can I get brainliest?
What is the y-value of sin(x) when x = -90°?
Answers
You can use the unit circle to find this value, if you wish.
sin(-90) = -1
I have milk that contains 1 percent fat and milk that contains 4 percent fat. a customer wants a double latte made with 1/3 of a pint of 2 percent milk. how much of each type of milk should i use ?
Answers
Let x be the amount of 1% milk used. 1% = 1/100 = 0.01; this gives us 0.01x to represent this.
We know that we will use the 4% milk to make up the rest of the 1/3 pint; this gives us 0.04(1/3-x).
Together, they will make 1/3 pint of 2% milk, or 0.02(1/3)
This gives us the equation
0.01x+0.04(1/3-x) = 0.02(1/3)
Multiplying, we have
0.01x+0.04/3-0.04x = 0.02/3
We can multiply everything by 3 to eliminate the fractions:
0.01x*3 + 0.04 - 0.04x*3 = 0.02
0.03x + 0.04 - 0.12x = 0.02
Combining like terms, we have
-0.09x + 0.04 = 0.02
Subtract 0.04 from both sides:
-0.09x + 0.04 - 0.04 = 0.02 - 0.04
-0.09x = -0.02
Divide both sides by -0.09:
-0.09x/-0.09 = -0.02/-0.09
This gives us x = 2/9, so we will use 2/9 of a pint of the 1% milk.
1/3 - 2/9 = 3/9 - 2/9 = 1/9; we will use 1/9 of a pint of the 4% milk.
The double lathe milk with 2 percent fat concentration, is made by
considering the concentration and amount of each constituent.
The amount of each type of milk to be used in the [tex]\dfrac{1}{3}[/tex] pint of double lathe
are;
[tex]\dfrac{2}{9}[/tex] pint of the 1 percent fat milk and [tex]\dfrac{1}{9}[/tex] pint of the 4 percent fat milk.Reasons:
Let x represent the amount of the milk that contains 1 percent fat in the
volume of the 2 percent fat milk.
Therefore, we have;
The amount of the 4 percent fat milk to be used = [tex]\dfrac{1}{3} - x[/tex]
[tex]Amount \ of \ fat = \dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{2}{100} \times \dfrac{1}{3} = \dfrac{2}{300}[/tex]
[tex]\dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{4 - 9 \cdot x}{300} = \dfrac{2}{300}[/tex]
Therefore;
4 - 9·x = 2
4 - 2 = 9·x
[tex]x = \dfrac{2}{9}[/tex]
The amount of the 1 percent fat milk to be used for the double lathe, x = [tex]\dfrac{2}{9}[/tex]
of a pint.
The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{3} - x[/tex]
Therefore;
The mount of the 4 percent fat milk = [tex]\dfrac{1}{3} - \dfrac{2}{9} =\dfrac{1}{9}[/tex]
The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{9}[/tex]
pint.
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Eliminate the parameter.
x = one divided by two t, y = 3t^3 - 1
Answer choices:
y = three divided by eight t^3 - 1
y = 24x^3 - 1
y = 6x^3 - 1
y = 24x - 1
Answers
y = 24x³ - 1
Explanation:
We have:
x = [tex] \frac{1}{2} t[/tex]
This means that:
t = 2x ...............> I
We are also given that:
y = 3t³ - 1 .............> II
Substitute with I in II to eliminate the t as follows:
y = 3t³ - 1
y = 3*(2x)³ - 1
y = 3*8x³ - 1
y = 24x³ - 1
Hope this helps :)
x = 1/2t; t = 2x
Substitute the t in the equation:
y = 3t^3 - 1
y = 3(2x)^3 - 1
y = 3(8x^3) - 1
y = 24x^3 - 1
The answer is y = 24x^3 - 1
Hope this helps! Goodluck
In which situation would a savings account be the best investment to earn interest?
saving for retirement in 20 years
saving to buy a new car in three years
saving to buy a new house in seven years
saving to easily access the money when needed
Answers
Saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest
What is Investment?Investment is traditionally defined as the commitment of resources to achieve later benefits
An investment can be regarded as asset or item that is been gotten so as to generate income or appreciation.
It should be noted that appreciation serves as increase in the value of an asset over time.
To earn interest, it will be best to use savings account so that there could be easy access to the money when needed.
Hence, saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest
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A jar contains nickels and pennies there are 56 coins in the jar in all the total value of he coins is $1.52 how many pennies are in the jar
Answers
24*5=1.20
56-24=32
1.20+.32=1.52
how many real solutions does y = (-x + 4)^2 have?
Answers
1.y = -1
2.y = 4/3 = 1.333
Comment
There are a couple of ways of doing this to show there there is just one solution. The most easily done way is to graph the quadratic. I have done that for you.
Notice that the quadratic touches the x axis, it does not cut it in two places or no places. When a quadratic just touches the x axis, it has only one solution.
Method 2
The quadratic is shown in the vertex form. If there was a number outside he bracket showing squares then you would get
y = (-x + 4)^2 + 4 (drawn in blue)
y = (-x + 4)^2 - 6 (drawn in green)
These two examples show what the vertex form would look like if the axis was cut in 2 places or no places and there would be no solution for the first one and 2 places for the second one.