Select the correct answer.
The graph below represents the following system of inequalities.
y> - 2
y > 21 + 2
Which point (x,y) satisfies the given system of inequalities?
OA (-1,-6)
OB. (1,-6)
OC. (-3,-1)
Answers
The answer is C: (-3,-1)
To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you
Here is proof the answer is C :
y > x - 2
(lets plug in point C)
-1 > -3 - 2
solve
-1 > -5 ?
Yes this statement is true- onto the next inequalitity!
y > 2x + 2
-1 > 2(-3) + 2
solve
-1 > -6 + 2
-1 > -4 ?
Yes, this inequality is true too!
Know we know answer c (-3,-1) is the right answer!
The point (x,y) satisfies the given system of inequalities is C. (-3,-1).
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Given that The graph below represents the following system of inequalities.
y> - 2
y > 21 + 2
So, y > x - 2
Lets plug in point C;
-1 > -3 - 2
solve;
-1 > -5 ?
Yes this statement is true- onto the next inequalitity.
y > 2x + 2
-1 > 2(-3) + 2
solve;
-1 > -6 + 2
-1 > -4 ?
Yes, this inequality is true too!
Therefore, the point (x,y) satisfies the given system of inequalities is C. (-3,-1).
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Related Questions
What is the value of the expression 10^3 – 30 divided by 2 x 5 ?
A 0
B) 27
C) 100
D) 925
Answers
(9x +10) (15x-2) solve for x
Answers
Answer:
x=2
Step-by-step explanation:
15x-9x = 6x
10+2 = 12
6x=12
x=2
Answer: x=2
Step-by-step explanation:
9x+10 = 15x-2
-9x -9x
____________
10 = 6x-2
+2 +2
__________
12=6x
Divide
x=2
2
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
OA 1
OB 6
ос 2
OD. 15
Reset
Next
Answers
Answer:
C=2
Step-by-step explanation:
Which point lies on the y-axis?
Answers
Answer:
(0,2)
Step-by-step explanation:
what 1/4 in index form?
Answers
Answer:
Step-by-step explanation:
4^-1
Use the fact that 1 inch = 2.54 centimeters to convert 10 yards to centimeters. Round to the nearest tenth
Answers
From unit conversion, it was found that 10 yards = 914.4 cm.
Unit ConversionThe unit of a length is essential information. There are different units for the length. In the International System Units (SI), the standard unit for length is the meter (m). Nonetheless, there are others units, for example: inches (in) and yard (yd).
1 in = 2.54 cm
1 yd = 36 in
The question asks the conversion 10 yards to centimeters. Therefore, you should know the relation between the units for solving this question.
First, you will convert 10 yards to inches. Thus,
1 yd -------- 36 in
10 yd ------- x in
x=36*10
x=360 in
After that, you should find the value in centimeters .
1 in -------- 2.54 cm
360 in --------- x cm
x=360*2.54
x= 914.4 cm
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Simplify: x - 12 +5 - 4x
Answers
Answer:
-3x -7
Step-by-step explanation:
Add the numbers:
x-12+ 5-4x
x-7 -4x
Combine like terms:
x-7 -4x
-3x -7
Solution:
-3x -7
Someone pls show there work give extra points
Answers
Answer: C/pi=d
Step-by-step explanation: You could think of it like a one or two step equation. For example: 12=3x solve for x. You would do 12/3=4. Same thing here, C=pi*d= C/pi.
40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
[tex]40,\:10,\:\frac{5}{2},\:\frac{5}{8}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=\frac{1}{4}[/tex]
Thus, the given sequence is a geometric sequence.
As the first element of the sequence is
[tex]a_1=40[/tex]
Therefore, the nth term is calculated as
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
[tex]a_n=40\left(\frac{1}{4}\right)^{n-1}[/tex]
Put n = 5 to find the next term
[tex]a_5=40\left(\frac{1}{4}\right)^{5-1}[/tex]
[tex]a_5=40\cdot \frac{1}{4^4}[/tex]
[tex]a_5=\frac{40}{4^4}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^8}[/tex]
[tex]a_5=\frac{5}{2^5}[/tex]
[tex]a_5=\frac{5}{32}[/tex]
now, Put n = 6 to find the 6th term
[tex]a_6=40\left(\frac{1}{4}\right)^{6-1}[/tex]
[tex]a_6=40\cdot \frac{1}{4^5}[/tex]
[tex]a_6=\frac{40}{4^5}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^{10}}[/tex]
[tex]a_6=\frac{5}{2^7}[/tex]
[tex]a_6=\frac{5}{128}[/tex]
Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
[tex]a_5=\frac{5}{32}[/tex][tex]a_6=\frac{5}{128}[/tex]What restriction should be applied to y = tanx for y = arctanx to be defined?
Answers
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
Answer: c. restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
Edge :)
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answers
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
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Does the MVT apply? Explain why or why not.
y=x^2/4x + 4 ;
[-6, -2]
Answers
Hello!
[tex]\large\boxed{\text{Yes, it does.}}[/tex]
In order to use the MVT, the function must be continuous over the given interval.
[tex]y = \frac{x^{2} }{4x}+4[/tex]
Simplifies to:
[tex]y = \frac{x}{4} + 4[/tex]
This is a linear equation that is continuous on the interval (-∞, ∞), which means that it would also be continuous on the interval [-6, -2]. The MVT would apply to this function.
please help me I don't understand what to do
Answers
Answer:
55 OZ
Step-by-step explanation:
Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.
Answers
A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following expressions can be used to
6(0.35)
6(0.65)
6-6 (0.35)
6- 6 (0.65)
Answers
Answer: B.
Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.
it is 35% smaller which is another way of saying the pretzel is 65% of its original size. to find the new size we multiply it by .65 so the answer is B
3(1)+2(_)=6
plz help on filling in the blank
Answers
Answer:
x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
(3)(1)+2x=6
Step 1: Simplify both sides of the equation.
(3)(1)+2x=6
3+2x=6
2x+3=6
Step 2: Subtract 3 from both sides.
2x+3−3=6−3
2x=3
Step 3: Divide both sides by 2.
2x/2 3/2
x = 3/2
Hope this helps :)
Milena is trying to determine an expression to represent the amount of punch she needs to make for her party.
Her expression is 3g + 20. Match the value of g with the correct substituted expressions.
g = 15
g=10
g=38
g=20
3(10)+20
3(20)+20
3(38)+20
3(15)+20
Answers
Answer:
g=15 3(15)+20, g=10 3(10)+20, g=38 3(38), g=20 3(20)+20
Step-by-step explanation:
theres your answer!
eh hi btw-
Four positive whole numbers add up to 93
One of the numbers is a multiple of 19
The other three numbers are equal.
Write the four numbers in ascending order.
Answers
Answer:
Let the numbers be a, b, c, d
[tex] { \tt{a + b + c + d = 93}}[/tex]
Let a be the multiple of 19, a = 57
And b = c = d
[tex]{ \tt{57+ 3b= 93}} \\ { \tt{3b = 36}} \\ { \tt{b = 12}}[/tex]
[tex]{ \tt{a = 57}} \\ { \tt{b = c = d = 12}} \\ \\ { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{57}}}[/tex]
Answer:
12, 12, 12, 57
Step-by-step explanation:
Given:
Four positive whole numbers add up to 93.One of the numbers is a multiple of 19.The other three numbers are equal.If one of the four numbers is a multiple of 19 and the other three numbers are equal, then the sum of the other three numbers will be a multiple of 3.
Multiples of 19:
19, 38, 57, 76, 95, ...
Subtract each multiple of 19 (that is less than 93) from 93:
⇒ 93 - 19 = 74 → not divisible by 3
⇒ 93 - 38 = 55 → not divisible by 3
⇒ 93 - 57 = 36 → divisible by 3
⇒ 93 - 76 = 17 → not divisible by 3
The only result that is a multiple of 3 is 36.
Therefore, the multiple of 19 is 57.
To find the other three numbers, simply divide the result of the total less the found multiple of 19 by 3:
⇒ (93 - 57) ÷ 3 = 36 ÷ 3 = 12
Therefore, the four numbers in ascending order are:
12, 12, 12, 57
A bakery sells 6 rolls for $1.50. If this relationship is graphed with the number of rolls on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per roll?
Answers
Answer:0.25
Step-by-step explanation: 1.50÷6
The slope of the graph in dollars per roll is 0.25.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line.
Given that, the bakery sells 6 rolls for $1.50.
The slope of the line in dollars per roll is given by:
(total cost)/(total roll)
= 1.50/6
= 0.25
Hence, the slope of the graph in dollars per roll is 0.25.
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Jose is going to watch a movie in his collection. He has 7 action movies, 12 comedies, and 2 dramas.
He will randomly select one movie. What is the probability that the movie he selects is not an action movie?
Write your answer as a fraction in simplest form.
Answers
Answer:
14/21 or 2/3
Step-by-step explanation:
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answers
Answer:
length is 13.6m
width is 2.72m
A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked. In 3 cartons (12 eggs each carton) 2 eggs are cracked.
Answers
Answer:
The quality standard is violated.
Step-by-step explanation:
In 3 cartons of eggs no more than 2% are crack.
Let's find out how many eggs are in the 3 cartons.
(3)(12) = 36
There are 36 eggs in all 3 cartons. To find how many are supposedly cracked we need to multiply 36 by the decimal for of 2%.
To change a percent to decimal form we move the decimal of the percent twice to the left. So 2% turns in to .02.
Now, multiply:
(36)(.02) = 0.72
Not even 1 egg in all 3 batches should be cracked.
Therefore, the quality standard has been violated.
In order for the quality standard to be upheld there would have to be 100 eggs and only 2 of them be cracked.
I hope this helps!!
- Kay :)
HElP HeLp HeLp PLEAse
Answers
Answer:
c. 35 miles per hour
pls help me on this
Answers
Answer:
Each box will have $14
Step-by-step explanation:
The problem divides the total bill into 5 boxes so divide the total bill ($70) by 5.
Can someone please help this is due at 9
Answers
Answer:
70
Step-by-step explanation:
We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70
During a basketball game, Kevin made a total of 14 shots. Each basketball shot is worth either 2 points or 3 points. Kevin scored a total of 34 points. Let a represent the number of 2 point shots and let y represent the number of 3 point shots.
Answers
Answer:
following is the answer for your question this can be done in the manner
Quinn discovered a recipe for chocolate chip cookies that require 3/4 cups Brown sugar for every 2 cups of flour. How much Brown sugar will she need if she uses 6 1/2 cups of flour?
Answers
Answer:
Quinn will need 2 3/4 cups of brown sugar for 6 1/2 cups of flour
Step-by-step explanation:
If you change 3/4 into decimal form you get .75. You then multiply .75 by 3, because 2*3=6, to get 2.25 or 2 1/4. Then add the 1/2, or 2/4, to 2 1/4. You get 2 3/4
i Ready Understand Absolute Value - Inst Compare the two numbers. -6 or -7
Answers
-7 is less than -6 and -6 is greater than -7.
The absolute value of -7 is greater than the absolute value of -6 and the absolute value of -6 is less than the absolute value of -7.
How many laps can Jayden complete in 18 minutes
Answers
What is 4h - 11 = h+ 16
Answers
4h - 11 = h + 16
subtract h from both side and add 11 to both
3h = 27
divide both sides by three
h= 9