Answers
Answer:
y ≥ x - 2, and x + 2y < 4 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of 1 of these given lines,
[tex]y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1[/tex]
From this we can formulate the equation of 1 line;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2[/tex]
Now consider the y - intercept and slope of the remaining line;
[tex]y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }[/tex]
This creates a line with the equation as such;
[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4[/tex]
From this we see that the solution of the system is such;
Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C
Related Questions
Find the next three numbers in the sequence: 6,7,9, 12, 16, ....
Answers
Answer:
21,27,34 i think
Step-by-step explanation:
4) Grant had an account balance of $550 in her checking account. Over the next month, he deposits $25, pays his annual credit card fee of $100.00, and makes ATM withdrawals of $200.00 and $80.00 from an ATM that charges a $2.50 fee per transaction. What is his account balance at the end of the month?
Enter your answer as a number, for example: 260
Answers
Answer:
190
Step-by-step explanation:
550 + 25 = 575
575 - 100 = 475
475 - 202.5 = 272.5
272.5 - 82.5 = 190
The account balance at the end of the month would be; 190 dollar.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have given that Grant had an account balance of $550 in her checking account.
Then he deposits $25,
550 + 25 = 575
So he pays his annual credit card fee of $100.00,
575 - 100 = 475
Then he makes ATM withdrawals of $200.00
475 - 202.5 = 272.5
Then $80.00 from an ATM that charges a $2.50 fee per transaction.
272.5 - 82.5 = 190
Therefore, the account balance at the end of the month would be; 190 dollar.
Learn more about account here;
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Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Answers
Divide the pages read by the portion read:
60/ 3/4 = 60 x 4/3 = 240/3 = 80
The book has 80 pages.
Answer:
80 pages in the book
Step-by-step explanation:
60/3=20
20*4=80
80 pages
A number, x, rounded to 2 significant figures is 1300
Write down the error interval for x.
Answers
Answer:
[tex][1250,1350)[/tex].
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e., [tex]1250\leq x\leq 1300[/tex] ...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e., [tex]1300\leq x<1350[/tex] ...(2)
On combining (1) and (2), we get
[tex]1250\leq x < 1350[/tex]
1350 is not included in the error interval for x.
Interval notation is [tex][1250,1350)[/tex].
Therefore, the error interval for x is [tex][1250,1350)[/tex].
What percent is equivalent to 1/25
O 4%
O 5%
O 20%
O 25%
Answers
Answer:
4%
Step-by-step explanation:
1/25 = 0.04 = 4%
Enter an algebraic expression to model the given context. Give your answer in simplest form.
The principal amount P originally deposited in a bank account plus 0.6% interest
The algebraic expression is .
Answers
Answer:
p=0.006=1.006
Step-by-step explanation:
Google....
Is 0.11 * 10-6 in scientific notation? If not, explain.
The number is in scientific notation.
No, it is not in scientific notation. The number is not written as a product of 2 factor
No, it is not in scientific notation. The first factor is not less than 10.
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Answers
Answer:
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Step-by-step explanation:
Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.
Answer:
last option
Step-by-step explanation:
In scientific notation the number being multiplied by the power of 10 has to be in between 1 and 10, and since 0.11 doesn't satisfy this the answer is it is not in scientific notation because the first factor is not greater than or equal to 1.
The car my mom drives told her that she only has 5% of her gas tank before she runs out. If I know her tank holds 20 gallons of gas, how many gallons of gas does she have?
Answers
Answer:
1 gallon
Step-by-step explanation:
Step by step explanation
The graph of y=54x+1 is shown below. The coordinate (0,y) is a solution of the equation. Given the x-value of 0, what is the value of the y-coordinate for the coordinate (0,y)?
Answers
Answer: y =1
Step-by-step explanation:
Evaluating the equation for x = 0:
y = 54 (0) + 1
y =1
The y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The missing figure is attached to the picture.
Calculataing the equation for x = 0:
y = 54 (0) + 1
y = 1
Thus, the y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
Learn more about the linear equation here:
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Paige rolls a number cube sixty-four times. The number 4 comes up fourteen times. The number 3 comes up six times. Rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4? %
Answers
Answer:
do you still need an answer
50 points. Please quick.
Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition.
Answers
Answer:
Condition A.
A rectangle with four right angles
There can be many quadrilaterals satisfying this condition.
Condition B.
A square with one side measuring 5 inches
There can be only one quadrilateral satisfying this condition.
Condition C.
A rhombus with one angle measuring 43°
There can be many quadrilaterals satisfying this condition.
Condition D.
A parallelogram with one angle measuring 32°
There can be many quadrilaterals satisfying this condition.
Condition E.
A parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches.
There can be only one quadrilateral satisfying this condition.
Condition F.
A rectangle with adjacent sides measuring 4 inches and 3 inches.
There can be only one quadrilateral satisfying this condition
Step-by-step explanation:
Answer:
No Triangles: A, C
One Triangle: D, F
Many Triangles: B, E
Step-by-step explanation:
Did it on Edmentum and got it right.
What is the next term of the following sequence?
20, 10, 5, 21/2, ...
Answers
Answer:
1 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
10 ÷ 20 = 5 ÷ 10 = 2 [tex]\frac{1}{2}[/tex] ÷ 5 = [tex]\frac{1}{2}[/tex]
Thus to obtain the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]
2 [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{1}{4}[/tex]
Two standard six-sided dice are tossed. What is the probability of getting a 3 and a 5
P(3 and 5)
a)1/24
b)1/36
c)1/3
d)1/12
Answers
Answer:
1/36
Step-by-step explanation:
Getting a 3 is 1/6
Getting a 5 is 1/6
Multiply those and get 1/36
Kevin made 12 5/6 bags of popcorn for a movie night with some friends. Together they ate 7 1/6 bags of it. How much popcorn was left?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
5 ⁴/6
Step-by-step explanation:
12⅚ - 7⅙ = 5 ⁴/6
12 - 7 = 5
⅚. -. ⅙ = ⁴/6
HOPE THIS HELPS! (:
4/6 is a fraction, it just looks funky
What is the constant of proportionality in the equation y = 2.5x?
Answers
Answer:
2.5
Step-by-step explanation:
The standard equation representing quantities in proportion is
y = kx ← k is the constant of proportionality
y = 2.5x ← is in standard form
with k = 2.5
Answer:
2.5
Step-by-step explanation:
Y = 2.5x
then you would have put in with x
so i got x =2.5
4(2x-3)+8(x-4)=2(2x+6) help plzzz
Answers
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
Answer:
[tex]x=\dfrac{14}{3}[/tex]
Step-by-step explanation:
[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]
Expand parentheses:
[tex]8x-12+8x-32=4x+12[/tex]
Combine similar terms:
[tex]16x-44=4x+12[/tex]
Subtract 4x and add 44 to both sides:
[tex]12x=56[/tex]
Divide both sides by 12:
[tex]x=\dfrac{14}{3}[/tex]
Hope this helps!
Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.
Answers
Answer:
19
Step-by-step explanation:
To write an equation for the first situation, you need to determine which factors can be changed. The bus will not change since you can have multiple people in one. The ticket to the museum is per person. This will change depending on how many people there are.
450 + 15.75x
For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person. Set the equation equal to $40 per person and solve.
450 + 15.75x = 40x
450 = 24.25x
x = 18.56
Round up to 19 since you can't 0.56 of a person.
Alex drew a shape that belongs to both the category of rhombuses and the category of rectangles.
Part A
Alex said the most specific name for the shape is a quadrilateral. Is Alex correct? Explain why or why not.
Part B
Name one additional category of polygons that Alex's shape belongs to. Justify your answer.
Answers
Answer:
yes because they have equal sides
It can also be called a polygon because they have congruent sides.
Which is the solution to the inequality?
x < 1 / 2
X>
7
12
O X <1
12
XS1
12
3 1/2
Answers
I believe that would be ur answer! I hope i helped out
Two boys, starting at the same point, walk-in opposite directions for x meters, turn right and walk another y meters, and turn right and walk another x meters. What is the distance between them?
Answers
Answer:
2y meters
Step-by-step explanation:
The first x meters are cancelled with the last x meters because after turning right two times they walk in the opposite direction that each of them started to walk.
The y meters each of them walk are also in the opposite direction, so given that each of them walked y meters, the distance between them is 2y meters.
What is the exact value of sinF?
Answers
Answer:
Option 2
Step-by-step explanation:
To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!
HELP ME HELP ME HELP ME
Answers
Answer:
C
Step-by-step explanation:
work shown below
24+4(3+1)
answer plz
Answers
Answer:
40
Step-by-step explanation:
follow the BEDMAS
24+4(3+1)
=24+4(4)
=24+16
=40
Answer:
40
Step-by-step explanation:
24+4(3+1) Order of operations(Bedmas)
24+4(3+1)
24 + 12 + 4. Left to right
36 + 4
40
pls help I'm too lazy
20 points
Answers
Answer:
2/5
Step-by-step explanation:
multiples of 2 = 2,4
probability of getting multiples of 2 is 2
total probability is 5
so probability of getting multiples of 2 is..... 2/5
hope it helps
all the best
Answer:
2/5
Step-by-step explanation:
What is the solution to the system of linear equations?
5
-4
f(x)
(3.0)
(-3.3)
(02)
(3, 1)
1
5
2.
3
4
5
х
432
g(x)
2-
-3
Answers
Answer:
The solution to the system of linear equation is (0,2)
The solution to the system of linear equation is (2.-3).
What are simultaneous linear equations?Simultaneous linear equations can be defined as the two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now, we have
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the solution of the given simultaneous equations are x = 2 and y = -3.
Learn more about simultaneous equations here:
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Which equation represents a line which is parallel to y = 0?
A. y = 6
B. x = -5
C. y = x
D. y = x - 1
Answers
Answer:
A. y = 6
Step-by-step explanation:
Y= 0 is equation of x - axis
equation of any straight line which is parallel to x-axis and at distance of a from it is given y = c.
Therefore, from the given option only option A y =6 is in form of y = a and hence is the correct answer.
_______________________________________
Also we know that for two lines to be parallel , their slope should be equal.
slope of line y = mx + c is m
slope of y = 0 here m = 0, hence slope is 0
out of the given option
only for y - 6 slope is 0 and hence it is the correct answer.
___________________________________
Are the events of drawing a rook from the bag of white
pieces and then drawing the king from the bag of
black pieces dependent or independent events? Find
the probability of this compound event.
Answers
Answer:
Independent events, 1/16
Step-by-step explanation:
What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.
Which means that they are independent events.
And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.
Charlie's puppy, Coby, weighs 8 pounds. How many ounces does Coby weigh?
Answers
Answer:
128 oz
Step-by-step explanation:
recall that 1 lb is 16 oz
hence 8 lbs = 8 x 16 = 128 oz
solve 5x^2-4x-2=0 by completing the square
Answers
Answer:
Hello
Here's the answer:
2x^2 + 5x + 2 = 0\\ 2x^2+4x+x+2=0\\ 2x(x+2)+1(x+2)=0\\ (2x+1)(x+2)=0\\ x=-\frac{1}{2} \vee x=-2
x^2-4x+1=0\\ x^2-4x+4-3=0\\ (x-2)^2=3\\ x-2 =\sqrt3 \vee x-2=-\sqrt3\\ x=2+\sqrt3 \vee x=2-\sqrt3
Step-by-step explanation:
Simplify the expression.
[tex]\frac{6}{1+\sqrt{3} }[/tex]
Answers
Answer:
Step-by-step explanation:
Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.
Conjugate of the denominator 1 + √3 is 1 - √3
[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]
