shade the region in the xy plane that is described by the inequalities 3x-y-7<0 and x+5y+3>=0
Answers
For line 3x-y-7 <0, let's disregard < first and change it to =, such that 3x-y-7=0. Rearranging, y=3x-7. If you plot this equation, that would be the blue line in the equation. To know which of side of the line is the solution, you substitute a random point into the equality. For example, let's use point (5,20).
3x-y-7<0
3(5)-20-7<0
-12<0, this is true. Therefore, all the space to the left of the blue line is a solution (blue region).
We do the same for the other equation (orange line). Let's use the same point (5,20) to test.
x+5y+3≥0
5+5(20)+3≥0
108≥0, this is true, Therefore, everything above the orange line is a solution (orange region).
The overlapped area of the two shaded regions is presented as green in the picture. This is the exact solution of this system of linear equations.
Related Questions
Is 7040 yards more than or less then 4 miles
Answers
✏ 7040 = 4 miles
So 7040 yards is equal to 4 miles.
Hope that helps! -UF aka Nadia
Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam
Answers
she used 3/4 pound for 1/2 cup
so multiply 3/4 pounds for 1 cup
3/4 x 2 = 1 1/2 pounds
Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars
Answers
Answer:
The answer is $3(0.50+1.00)
Step-by-step explanation:
Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:
[tex]3*0.50[/tex]
And 3 pounds of apples at $1.00 per pound which can be expressed as:
[tex]3*1.00[/tex]
As Robert bought the apples and bananas, you can add both expressions:
[tex]3*0.50 + 3*1.00[/tex]
This expression can be factorized as:
[tex]3(0.50+1.00)[/tex]
or
[tex]3(1.50)[/tex]
Both expressions will give you the same result, which is $4.50.
A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?
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alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound
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Solve the equation
-3x+1+10x=x+4
Answers
7x + 1 = x + 4
7x - x = 4 - 1
6x = 3
x = 3/6...which reduces to 1/2
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60
Answers
You solve it with these steps:
1) divide by 3:
(x + 5) ^2 = 60 /3
(x + 5)^2 = 20
2) extract square root
(x + 5) = +/- √20
3) subtract 5
x = - 5 +/- √20
Solutions: x = - 5 - √20 and x = - 5 + √20
f(x) = 7x − 13. Find f−1(x).
Answers
to find the inverse of a function flip switch all x and y and solve for y, then replace y with f inverse
f(x)=7x-13
y=7x-13
switch
x=7y-13
solve for y
x+13=7y
(x+13)/7=y
f inverse=(x+13)/7
quantity of x plus 13 over 7
Evaluate ab for a = 2 3/4 and b = 4/5
Answers
If carpeting is sold at $4.50 per yard, what would 5 1/2 yards cost?
Answers
the answer is $24.75
A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.
2ft by 4ft
Answers
Area of a circle = π*r²
Looking at the rectangle, the diameter for the circle is 2 ft. Since we need the radius though, divide the diameter by 2 to get the radius.
r = 1
A = π * 1²
A = π * 1
A = π
But since it's a semicircle, you need to divide that area by 2.
3.14/2 = 1.57
The area of the semi-circle is 1.57.
Area of a rectangle = lw
l = 2
w = 4
A = 2 * 4
A = 8
The area of the rectangle is 8.
Now add those together to get the area of the entire figure.
1.57 + 8 = 9.57
The figure is about 9.57 square feet.
The approximate area of the window is 9.57 ft²
The figure is a composite shape. Therefore, the area can be described as follows:
Area of the composite shape:area = area of semi circle + rectanglearea of a rectangle = lw = 4 × 2 = 8 ft²
area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²
Therefore,
area of the window = 8 + 1.57 = 9.57 ft²
learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?
Answers
sorry
2- 62 people?
3- I think it would be $33.60, or about $34
4- around $2430
5- not sure
6- not sure
I'm sorry if I wasn't very helpful, but I hope the ones I did understand are right!
Evaluate ƒ(x) when x = -10
16
No solution
-7
-24
Answers
There is no solution, because nobody defined f(x). There isn't enough information to solve the problem.
If it was f(x) = x + 26, the answer would be 16.
So the answer is no solution.
Hope this helps! :)
Answer:
NO SOLUTION Answer B
A number is multiplied by 2, and then the product is added to 9. The result is 49.
Answers
Hope the explanation helped!
ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2
A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.
Answers
Answer this question, me and my partner have no idea what to do I'm very confused
Answers
With a box and whisker plot, 25% of the data goes from the leftmost point to the beginning of the box. The next 25% goes from the beginning of the box to the median, which is represented by the line in the box. The third 25% goes from the median to the end of the box, and the last 25% goes from the end of the box to the end of the line.
The middle 50% is the data within the box.
Evaluate for C=3 and d=-5
(3c^2-3d)^2-1000
Answers
The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
Answers
----------------------------------------------------
consistent = system has at least one solution
independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other
Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes.
Translate the sentence into an inequality.
The product of y and 8 is greater than or equal to 21.
Answers
8y > = 21 <== ur inequality
Ron paid $799.99 per laptop for three laptops and a flat rate fee for antivirus installation for a total bill of $2,529.57 at Gigahertz Computers. Jerry paid $777.16 per laptop for three laptops plus a per laptop antivirus installation fee for a total bill of $2,481.42 at TechZone Computers. What is the difference in the amounts they paid for the antivirus installation charges?
Answers
Final answer:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.
Explanation:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.
Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.
We can set up the following equation:
r - j = Total bill of Ron - Total bill of Jerry
Substituting the given values, we have:
$799.99 - j = $2529.57 - $2481.42
$799.99 - j = $48.15
Now, we can solve for 'j'.
j = $799.99 - $48.15
j = $751.84
Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.
How to find the y intercept when the slope is a fraction
Answers
help What is the length of the unknown leg in the right triangle?
Answers
a = square root 9
a = 3
answer
3 ft
C being the hypotenuse.
a = a
b = 8 ft
c = √73 ft
a^2 + 8^2 = √73^2
a^2 + 64 = 73
a^2 = 9
a = 3
The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?
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A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20 base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. draw a graph to represent it
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24l /
23.75l /
23.50l /
23.25l/
20l--------------------
300, 301, 302, 303, 304, 306
can't really draw on here but hopefully you get The idea
The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y = 0.25x- 50; x > 300
How to draw the graph?When the number of minutes is not more than 300 minutes, the charge is:
y = 20; x <=300
When it is above 300, the function is:
y = 20 + 5 + (x - 300) * 0.25
Open the bracket
y = 20 + 5 + 0.25x - 75
Evaluate the sum
y = 0.25x- 50
So, the piecewise function is:
y = 20; x <=300
y = 0.25x- 50; x > 300
See attachment for the graph
Read more about piecewise functions at:
https://brainly.com/question/11546494
what is 9 hours from now
Answers
Simplify negative 6 over 3 divided by 2 over negative 9.
Answers
To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.
Explanation:To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:
-6/3 × -9/2
Next, we multiply the numerators and the denominators:
(-6 × -9) / (3 × 2)
Simplifying further, we get: 54 / 6
Finally, we divide 54 by 6 to get the simplified answer: 9
can a vertical line be written in slope intercept form
Answers
I have attached my explanation in green for you below.
I have also attached an example above.
HURRY!!!What is the sum of the measures of the interior angles of a 12-gon?
1. 1620
2. 1800
3. 1980
4. 2160
Answers
sum = 180*(n-2)
in this case n=10,
so the answer will be 180 * 10 = 1800
:)
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answers
answer
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x ............commutative property
Answer:
2 + 9x, beacuse (17x - 8x) + 2 = 9x+2
Step-by-step explanation:
Combine like Terms: 17x - 8x + 2=
9x+2
A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure
Answers
7+7=14
Hope this helps, please mark brainliest I am trying to move up a rank.
Answer:
the correct answer is B.
(Brainliest would also help)
;)