Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?
GRAPH A:
https://cdn.ple.platoweb.com/EdAssets/569ffaae985e4d30af1d47501f6a3071?ts=635295994038270000
GRAPH B:
https://cdn.ple.platoweb.com/EdAssets/a0685f1258de4321b8ad526cba13ea68?ts=635295994033270000
GRAPH C:
https://cdn.ple.platoweb.com/EdAssets/7a8269a9613f472e9fd34597d3a0185c?ts=635295994031070000
GRAPH D:
https://cdn.ple.platoweb.com/EdAssets/9886daa9d6944ccd91d245f0d522c20a?ts=635295994027500000
Answers
The doubly-shaded area is the solution set. The dashed line is not included.
Answer:
Graph B is the answer.
Step-by-step explanation:
We know that both functions are inequalities, however,
The second one (red on the graph) has 'less or equal sign, ≤' meaning that, the line of the function is included as shown on graph B with a continuous line.
The first one has a 'greater than, >' meaning that the line of the function is not included, therefore the line is a dotted line, as shown on graph B.
The shaded area must be between the two inequalities because that where the X's can be met.
Therefore, the answer is graph B.
Related Questions
Simplify by using fractional exponents.[tex] \sqrt[3]{ x^{2} } [/tex]
Answers
[tex] \sqrt[3]{ x^{2} } [/tex]
Converting radical sign to fractional exponent:
[tex] ( x^{2} )^{ \frac{1}{3} } [/tex]
Simplifying the expression, we get:
[tex] \sqrt[3]{ x^{2} } = x^{ \frac{2}{3} } [/tex]
Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
Answers
directrix y=-2
focus (2,6)
y=1/(2(6-(-2)) * (x-2)²+(6+(-2))/2
or y=(x-2)²/16+2
Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)
Question 2(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "some number to the power of 5?"
5x
x5
5x
x + 5
Question 3(Multiple Choice Worth 3 points)
(06.02)
Translate the algebraic expression shown below into a verbal expression.
Fraction with variable x in numerator and 10 in the denominator.
The sum of ten and some number
The quotient of some number and ten
The product of some number and ten
The difference of ten and some number
Question 4(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "eight less than some number?"
8 − b
b − 8
Fraction 8 over b
Fraction b over 8
Question 5(Multiple Choice Worth 4 points)
(06.02)
Which verbal expression best describes the algebraic expression 4x ÷ 6?
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Question 6(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "seven more than the product of three and some number?"
7 + 3 + x
3 + 10 ÷ x
3x + 7
3 + 7x
Answers
2. x5
3. The quotient of some number and ten
4. b − 8
5. The quotient of four times some number and six
6. 3x + 7
1. x and -4 are multiplied by 12
2 raided to this 5th power is an exponent
3 quotient means division
4 less than means subtraction
5 division means quotient, list numerator first then the denominator
6 product of is multiplication and more is an addition.
I am just going to answer the first one
1. 12(x - 4)
On a map, 2 inches represents 60 miles. What part of an inch represents 12 miles? Please show how you get you answer.
A. 1/10in.
B. 1/5in.
C. 2/5in.
D. 1/2in.
Answers
if 2 inches are 60 miles then 12 miles is a fifth of 2 inches.
Help! Halfway there. Two square pyramids have the same volume. For the first pyramid, the side length of the base is 16 in and the height is 28. On the 2nd pyramid the height is 112. What is the side length of the base of the 2nd pyramid?,
Answers
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Pyramid 1.
h = 28 m
s = 29.1204 m
a = 16 m
e = 30.1993 m
r = 8 m
V = 2389.33 m³
L = 931.854 m2
B = 256 m²
A = 1187.85 m²
Pyramid 2
h = 112 m
s = 112.071 m
a = 7.99999 m
e = 112.143 m
r = 3.999995 m
V = 2389.33 m³
L = 1793.14 m²
B = 63.9999 m²
A = 1857.14 m²
the function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?
the graph of g(x) is shifted vertically...
2 units to the left of the graph of f(x)...
Answers
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 2 ^ x
g (x) = f (x) + k
if k = 2
then,
the graph of g (x) is shifted vertically 2 units up
Answer:
the graph of g (x) is shifted vertically 2 units up
Answer:
Its shifted verticlly 2 and to the left 2.
Step-by-step explanation:
Its verticlly because when it says 2^x its going up if it said -2^x it would go down.
It goes left because it is 2^x=? so if you put it on the other side its negative which makes it to the left.
PLEASE PLEASE PLEASE PLEASE HELP ME!
suppose ruth ann has 3 routes she can travel between the school to the library and 5 routes from the library to her home. how many routes are there from ruth anns school to her home with a stop at the library.
a. 9
b. 60
c. 15
d. 25
Answers
There are 3 routes between school and the library.
There are 5 routes from the library to her home.
Therefore, there are 3 x 5 = 15 total routes
What is the first step in solving 12 (9+5) - 6 (3)?
Answers
10 POINTS + BRAINLIEST ANSWER
The scatterplot below shows the distances and times spent traveling for 22 trips by a driver. What is the time, in hours, of the trip represented by the data point farthest from the line of best fit (not shown)
A. 4
B. 6
C. 8
D. 10
Answers
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3 kid's meal for his little brother. Charlie has $28. How much can he spend on each sandwich if they are all the same price? Choose two answers: one for the inequality that models this situation and one for the correct answer.
Answers
5x - 3 ≤ 28
Answer:
5x - 3 ≤ 28
5x ≤ 31
x ≤ 31/5 or 6.2 ($6.20)
The inequality 5x + 3 ≤ 28 represents the situation and each sandwich cost is $5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
Let x be the cost of each sandwich.
5 sandwich costs = 5x
$3 kid's meal for his little brother.
Total cost = 5x + 3
5x + 3 = 28
5x = 25
x = $5
The inequality:
5x + 3 ≤ 28
Thus, the inequality 5x + 3 ≤ 28 represents the situation and each sandwich cost is $5.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.
7b + 3, -4b + 5 and -3+2
A.) 10b + 2
B.) 10
C.) 0
D.) b - 8
Please explain.
Answers
Selection B properly describes the sum.
Answer:
Terms containing b are added; terms not containing b are added. The sum of the b terms is 0, because 7-4-3 = 0. That leaves only the constant 3+5+2=10.
Selection B properly describes the sum.
Step-by-step explanation:
Which equation is true for the value b = 2? 2b + 24 = 30 3b − 2 = 4 b + 4 = 8 2b − 3 = 0
Answers
Hope this helps.
Answer:
3(b – 2) = 24
Step-by-step explanation:
Factor. 25m^100 - 121n^16
Answers
a^2 - b^2 = (a + b)(a - b)
In your question all 4 factors must be perfect squares in order to use this property.
25 = 5*5
m^100 = m^50 * m^50
121 = 11 * 11
n^16 = n^8 * n*8
All four parts are perfect squares as required.
a = 5m^50
b = 11n^8
a^2 - b^2 = (5m^50 - 11n^8)(5m^50 + 11n^8)
What is the measure of ∠XBC?
1. m∠XBC = m∠BAC + m∠BCA
2. 3p – 6 = p + 4 + 84
3. 3p – 6 = p + 88
4. 2p – 6 = 88
5. 2p = 94
m∠XBC =
Answers
m∠ABC=180-[(p+4)+84]--------> 180-[p+88]=92-p
m∠ABC=(92-p)° equation 1
and
m∠ABC+(3p-6)=180----------m∠ABC=180+6-3p
m∠ABC=186-3p equation 2
(1)=(2)
(92-p)=186-3p-----------> 186-92=-p+3p--------------> 2p=94
p=47°
therefore
m∠XBC=(3p-6)°---------->(3*47-6)=135°
the answer is
m∠XBC=135°
The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
m∠XBC=(3p-6)°m∠BAC=(p+4)°m∠BCA=84°,then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
Find the amount paid for the loan.
$2400 at 10.5% for 5 years
Answers
Final answer:
$3,919.24
Explanation:
To calculate the total amount paid for a loan of $2,400 at an interest rate of 10.5% over 5 years, we will assume the interest compounds annually for simplicity. The formula to find the future value of a loan including interest is P(1 + r)^n, where P is the principal amount ($2,400), r is the annual interest rate (10.5% or 0.105), and n is the number of years (5).
Plugging the numbers into the formula gives us $2,400(1 + 0.105)^5. Calculating this gives us approximately $3,919.24. Therefore, the total amount paid for the loan over 5 years would be $3,919.24.
To find the amount paid on a $2400 loan at 10.5% interest for 5 years, calculate the simple interest and add it to the principal. The total interest is $1260, bringing the total repayment amount to $3660 over 5 years.
To find the amount paid for the loan of $2400 at 10.5% interest for 5 years, one would typically use the formula for the compound interest or an installment payment plan depending on whether the loan is paid off in a lump sum at the end of the term or through regular payments over the term. However, you have not specified the method of repayment (lump sum or installments), so let's consider a simple interest scenario which is often used for short-term loans.
The simple interest can be calculated as:
I = PRT
Where:
I = Interest
P = Principal amount ($2400)
R = Annual interest rate (10.5% or 0.105 in decimal)
T = Time in years (5)
Using the formula:
I = $2400 × 0.105 × 5 = $1260
Therefore, the total interest paid over 5 years is $1260. To find the total amount paid for the loan, add the interest to the principal:
Total Amount Paid = Principal + Interest
Total Amount Paid = $2400 + $1260 = $3660
The borrower would have to pay a total of $3660 after 5 years.
Compare the fraction by using the symbol < , <, or =. a. 4⁄9 _____ 5⁄9 b. 4⁄5 _____ 8⁄10 c. 7⁄12 _____ 7⁄15 d. 3⁄4 _____ 6⁄7
Answers
B. 4/5 = 8/10
C. 7/12 > 7/15
D. 3/4 < 6/7
Final answer:
To compare fractions, evaluate if they are equal or if one is greater by comparing the numerators and denominators.
a. 4/9 < 5/9
b. 4/5 = 8/10
c.7/12 > 7/15
d.3⁄4 < 6⁄7
Explanation:
In fractions, to compare two fractions, check if the fractions are equal, or if one is greater than the other by comparing the numerators and denominators.
a. 4/9 vs. 5/9: 4/9 < 5/9 since 5 is greater than 4.
b. 4/5 vs. 8/10: 4/5 = 8/10 since they are both equivalent fractions.
c. 7/12 vs. 7/15: 7/12 > 7/15 since 12 is greater than 15.
d. 3/4 vs. 6/7: 3⁄4 < 6⁄7 because converting to decimals, 3⁄4 is 0.75 and 6⁄7 is approximately 0.857, making 6⁄7 larger.
Panel 1 is the answer choice
Panel 2 is the question
Answers
A = (0,s)
B = (r,0)
Add up the x coordinates to get 0+r = r. Then cut that in half to get r/2
Similarly, do the same for the y coordinates: s+0 = s ---> s/2
So the location of point D is (r/2, s/2)
Answer: Choice C
Mr. sam's swimming pool is in the shape of a parallelogram, as shown. what is the area of his swimming pool? 189 ft² 234 ft² 279 ft² 585 ft² parallelogram a b c d with side a d parallel to side b c and side a b is parallel to side d
c. point e is on side a
b. a e is 5 feet. dc is 26 feet. a dotted segment d e runs from point d to the opposite side a b and is perpendicular to side a
b. d e is 9 feet.
Answers
Answer: 234
Answer:234
You are paying 11% interest on a credit card balance of $2,000. Which of the following best estimates the interest you are paying each month?
a) $11.00
b) $13.33
c) $15.33
d) $18.33
Will fan and medal,
Answers
$220/12 (months in a year)=$18.33
d) $18.33
MATH hw help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
leon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add to make a mixture that is 10% lemon juice? can someone show me how to solve this using the table or bucket method? thanks
Answers
.. (4)*(14%) + (x)*(8%) = (4 +x)*(10%) . . . . . liters and % are in each "bucket"
.. 56 +8x = 40 +10x . . . . . multiply by 100, eliminate parentheses
.. 16 = 2x . . . . . . . . . . . . . . add -40-8x, then divide by 2
.. 8 = x
8 liters of 8% lemonade should be added to make the mixture 10% lemon juice.
What is the rule for the reflection?
Will mark brainliest!
Answers
Answer:
Option C is correct.
[tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
Step-by-step explanation:
From the given figure:
Coordinate of Triangle ABC are:
A(-2, 1), B(-3, 4) and C(-4, 1)
And
Coordinate of Triangle A'B'C' are:
A'(1, -2), B'(4, -3) and C'(1, -4)
The rule of reflection across the line:
[tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
then;
Apply the given rule of reflection on coordinate of triangle ABC
[tex]A(-2, 1) \rightarrow (1, -2) =A'[/tex]
[tex]B(-3, 4) \rightarrow (4, -3) =B'[/tex]
[tex]C(-4, 1) \rightarrow (1, -4) =C'[/tex]
Therefore, the rule of reflection used here is [tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
Helppp!!! Will fan and Medal!!!
suppose n is an integer. select all statements below that are true:
n^2 + n is always an even integer
n^2 + n is always an even integer when n is even
n^2 + n is always an even integer when n is odd
n^2 + n is never an even integer when n is odd
n^2 + n is never an even integer
n^2 + n is sometimes an even integer
Answers
When n = 0 then 0^2 + 0 = 0. n = 1 we have 1^2 + 1 = 2. And when n = 2 we have 2^2 + 2 = 6. When n= 3 we have 3^2 + 3 = 12. When n = 4 we have 4^2 + 4 = 20. When n = 5 we have 5^2 + 5 = 30. When n = 6 = 6^2 + 6 = 42. And finally when n = 7 we have 7^2 + 7 = 56. So at n = 1, 2, ...7, ... Our values are = 2, 6, 12, 20, 30, 42, and 56. It is obvious that n is always an even number. Hence n^2 + n is always an even integer for all positive integers.
When n = -1 we have (-1)^2 - 1 = 0 when n = -2 we have (-2)^2 -2 = 2. When n = -3 we have (-3)^2 - 3 = 6. When n = -4 we have (-4)^2 - 4 = 16 - 4 =12. When n =-5 we have (-5)^2 -5 = 20. When n = -6 we have (-6)^2 - 6 = 30. When n = (-7)^2 - 7 = 42. Hence n^2 + n is always even for all integers
simplify: 27k^5m^8/(4k^3)(9m^2)
Answers
Write a pair of integers whose sum gives
(a) a negative integer (b) zero
(c) an integer smaller than both the integers. (d) an
integer smaller than only one of the integers.
(e) an integer greater than both the integers,
Answers
Answer:
The pairs below satisfy the five questions. A) -2 & 1. -2 + 1 = -1 B) -2 & 2. -2 + 2 = 0 C) -1 & - 2. -1+ -2 = -3 D) -3 & 1. -3 + 1 = -2 E) 1 & 2. 1 + 2 = 3.
Step-by-step explanation:
hope this helps have an amazing day
Write an equation in slope intercept form for the line that passes through (-2,3) and is parellel to the line whose equation 3x+2y=6
Answers
On this exercise is given the equation of a line and a point, and is asked to find the equation of a line in slope-intercept form that is parallel to the given one, and that passes through the given point.
3x+2y=6 Subtract 3x in both sides
2y=-3x+6 Divide by two in both sides to isolate y
y=-3/2x+3
The slope of the given line is -3/2, which means that the slope of a line parallel to this one, have to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the slope-intercept form y=mx+b, where letter m represents the slope.
y=mx+b Substitute the values of the given point and slope
3=(-3/2)-2+b Combine like terms
3=3+b Subtract 3 in both sides
0=b
The equation in slope intercept form for the line that passes through the point (-2,3) and is parallel to the line whose equation is 3x+2y=6 is y=-3/2x or y=-3/2x+0.
Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?
Answers
These problems are best done by rounding to easy numbers, then picking the closest value. Below I gave an example of how to round them and then picked the best answer.
1) 12 + 12 + 10 = 34 So 33.68 is the closest.
2) 94 - 6 = 88 So 87.42 is the closest.
3) 28 x 2 = 56 So 53.62 is the closest.
4) 60 / 100 = 0.6 So 0.641 is the closest.
5) 100 x 30 = 3000 So 355.12 is not reasonable.
A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)
Answers
_____
The change in x for the offered points is -6, -2, 16, 20, so the slope of 1/2 will make the change in y be -3, -1, 8, 10. When added to 5, these values are 2, 4, 13, 15. Only 13 matches the second coordinate of the given answer, so only (9, 13) will be a point on the line.
Answer:
Option C is correct.
Another point is, (9, 13)
Step-by-step explanation:
Point slope form states the equation of a straight line in the form [tex]y-y_1=m(x-x_1)[/tex]; ......[1]
where
m is the slope of the line and
[tex](x_1, y_1)[/tex] are the coordinates of a given point on the line.
As per the given condition we have;
[tex](x_1, y_1)[/tex] = (-7, 5)
Slope(m) = 1/2
then; substitute these in [1] we have;
[tex]y -5 = \frac{1}{2}(x-(-7))[/tex]
or
[tex]y -5 = \frac{1}{2}(x+7)[/tex]
Using distributive property; [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
[tex]y-5= \frac{1}{2}x+\frac{7}{2}[/tex]
Add 5 on both sides we get;
[tex]y=\frac{1}{2}x+\frac{7}{2} + 5[/tex]
Simplify:
[tex]y= \frac{1}{2}x+\frac{17}{2}[/tex]
Only option which satisfy the above line equation is (9, 13).
Check:
put x = 9 and y = 13
[tex]13= \frac{1}{2}(9)+\frac{17}{2}[/tex]
[tex]13=\frac{9}{2}+\frac{17}{2} =\frac{26}{2} = 13[/tex] True.
Therefore, the another point that the line passes through is, (9, 13)
If f(x)=2x-4 and g(x)=x^2 , what is f(g(x)) ?
Answers
A club has members from three grades. It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade. What is the ratio of the club's seventh graders to eighth graders?
Answers
Answer:
the correct answer is 4/5!
have a great day!
Which equations are true for x = –2 and x = 2? Check all that apply.
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answers
equation 4
Answer:
x2 – 4 = 0
4x2 = 16
Step-by-step explanation: