For which system of inequalities is (-3, 1) a solution?x + y < -22x – 3y <-9x + y = -2O 2x – 3y <-9x + y<-2• 2x – 3y <-9x + y < -22x – 3y <-9
Answers
Answer:
\(\begin{gathered} x+y\leq-2 \\ 2x-3y\leq-9 \end{gathered}\)Explanation;
Given the solution of the system of inequalities to be (-3, 1), let's go ahead and substitute x = -3 and y = 1 into each of the given system of inequalities to determine the correct one.
Let's pick the 1st one;
\(\begin{gathered} x+y<-2 \\ 2x-3y<-9 \\ put\text{ x = -3 and y = 1 for the 1st inequality} \\ -3+1<-2 \\ -2<-2 \\ \end{gathered}\)Since -2 is not less than -2 so the 1st system of inequalities is not the correct one.
Looking at the bottom left one, we can see that x + y < -2 is part of the inequalities which had been solved already, so the bottom left system of inequalities is also incorrect.
Let's pick the bottom right one;
\(\begin{gathered} x+y\leq-2 \\ 2x-3y\leq-9 \\ \text{put x = -3 and y = 1 in the 1st one} \\ -3+1\leq-2 \\ -2\leq-2 \\ do\text{ same for the 2nd one} \\ 2(-3)-3(1)\leq-9 \\ -6-3\leq-9 \\ -9\leq-9 \end{gathered}\)The above system of inequality is the correct one since -2 is equal to -2 and -9 is equal to -9.
Related Questions
Answer and explain please, I'll give points to whoever can.
Answers
Answer:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y.
Step-by-step explanation:
The slope indicates the rate of change in y per unit change in x.
The y-intercept indicates the y-value when the x-value is 0.
The correct option is A. Both the slopes and the y intercepts are same.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
First we will find the equation of the graph of f(x) in slope intercept form.
The line passes through (0, 3) and (1, 1).
So the y intercept is 3, since the line touches the y axis at that point.
Slope = (1 - 3) / (1 - 0) = -2
Equation of the line in slope intercept form is,
f(x) = -2x + 3
The function g(x) = -2x + 3.
Both functions are same.
Hence both slopes and y intercepts are same.
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awnser this for 5 points do you use this app.bc ur lazy and don't want to think
Answers
Answer:
No but when I don't understand something it helps
Step-by-step explanation:
and I'm not lazy either
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?
Answers
Answer:
111.6
Step-by-step explanation:
92.8+28.7=121.5
121.5-9.9=111.6
Find the volume of the prism
1: 29 cubic cm
2: 819 cubic cm
3: 208 cubic cm
Answers
Answer:
819 cm³
Step-by-step explanation:
Volume of a cuboid = l*b*h
Help ASAP I need this done
Answers
Answer:
I need to see the full equation in order to try and help
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
I A. 12
B. 10
I C. 7
m D. 4
E. 15
I F. 2.
Answers
Nine more than the quotient of a number and 5 is -22
Answers
Answer:
number is -155
Step-by-step explanation:
let the number equal 'x'
quotient means divide
nine more means plus 9
quotient of a number and 5 means x divided by 5
9+ x/5 = -22
now to solve for x
x/5 = -31
x = -155
a company loses 5400 as the result of a manufacturing defect. The 8 owners must share the loss equally. which expression shows the change in profit for each ownera -5400+8b -5400-8c -5400×8d -5400÷8
Answers
Total loss= $5400
Number of owners= 8
so the change of profit of each owner is equal to the total loss (-5400) divided by the number of owners (8)
d -5400÷8
Determine the equation of the graph and select the correct answer below.
Answers
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range.
f(x) =x^2 +12x+6
What is the vertex?
What are the x-intercepts?
What is the y-intercept?
what is the axis of symmetry?
Identify the function's domain
Identify the function's range.
Answers
The Vertex is : (-6, -30)
The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)
The Y-intercept is : (0, 6)
The Axis of symmetry is : x = -6
The functions Domain: is All real numbers
The Range is : All real numbers greater than or equal to -30.
To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.
To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)
In this case, a = 1, b = 12, and c = 6.
Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.
To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)
So, the vertex is (-6, -30).
To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)
Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.
Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).
The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)
Thus, the y-intercept is (0, 6).
The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.
The domain of the function is all real numbers since there are no restrictions on the possible input values of x.
To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.
Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).
As a result, the range of the function is all real numbers greater than or equal to -30.
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Help quick please!! I don’t know if it’s D or C??
Answers
Answer:
I think the answer is B
Step-by-step explanation:
1.2 * 10^6 is 1,200,000
1.38 * 10^7 is 13,800,000
you just have to divide 13,800,000 by the numbers until you get to 1,200,000. So, 13,800,000 / 11.5 is 1,200,000
Hope this helps! Have an amazing day :)
Answer:
11.5
Step-by-step explanation:
we will need to divide both of them
1.38 × 10^7 ÷ 1.2 × 10^6
1.38÷1.2 × 10^7-6
= 1.15 × 10¹
= 11.5
f(x) = x2
g(x) = (x – 6)
We can think of g as a translated (shifted) version of f.
Answers
To get function g , shift f right by 6 units.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
Right by 6 units
Step-by-step explanation:
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.
y = x² + 2x+2
a. D: all real numbers
R: (≤2)
b. D: all real numbers
R: (≤1)
C. D: (x21)
R: (≥2)
d. D: all real numbers
R: (21)
Answers
Answer: d. D: all real numbers R: y≥1
Step-by-step explanation:
y=x²+2x+2
y=x²+2x+1+1
y=(x²+2x+1)+1
y=(x+1)²+1
D:
all real numbers
x∈(-∞,∞)
R:
(x+1)²≥0
(x+1)²+1≥0+1
(x+1)²+1≥1
y≥1
y∈[1,∞)
the square root of 50
Answers
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Determine the equation of the circle graphed below.
Answers
The equation for the circle graphed in the coordinate axis is:
(x - 5)^2 + (y - 6)^2 = 16
How to determine the equation for the circle?Remember that the equation for a circle whose center is at (a, b) and has a radius R is.
(x - a)^2 + (y - b)^2 = R^2
On the graph, we can see that the center of the circle is at (5, 6), and the radius of the circle is R = 4 units. Then the equation for the circle in the graph is:
(x - 5)^2 + (y - 6)^2 = 4^2
(x - 5)^2 + (y - 6)^2 = 16
That is the equation we wanted to find.
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What is the greatest common factor of 8,16,40
Answers
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answers
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
Can someone help me please?
ASAP
Answers
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
HELP ME NOW BDJSJAHJAHA
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the price of fruit acid 1.65 for 11 ounces. Fruit B costs 2 cents more per ounce. What is the cost of 16 ounces of fruit B?
Answers
Answer: 2.72 i guess
How do you determine the vertex from the vertex from of a quadratic equation
Answers
Answer:
it it the highest or lowest point of a parabola
11) the difference between the product of 4 and a
number and the square of the number
Answers
Answer:
\(= 4x-x^2\\\\\)
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
\(= 4 * x\\\\= 4x\)
The the square of the number is given as;
\(= x^2\\\)
Taking the difference of both expressions above;
\(= 4x-x^2\\\\\)
Factor out the common term:
\(= x(4-x)\\\\\)
Hence the difference between the product of 4 and a number and the square of the number is \(= 4x-x^2\\\\\)
3(x+4)=7x-18 brainliest
Answers
Answer:
x=15/2
give brainliest please
Answer:
3(x+4)=7x-8
3x+12=7x-8
7x-3x=8+12
4x=20
x=20/4
x=5
Tim has 4 bins of cars. Each bin has 10 cars. How many cars are there in his bin? Skip counting problem.
Answers
Answer:
40
Step-by-step explanation:
by my calculations let four bins of cars=4x
10 cars =4*10
40
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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How do you if your figuring out the measure of the angle of the degree of an angle? Would you just assume that you will alwasy figgure out the degree?
Answers
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
Answers
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Quick 2 mins tell due 500÷30+200 decimal answer needed
Answers
\(500/30+200=16.\bar{6}+200=216.\bar{6}\)
For the given linear function, what are the slope and y-intercept?
Answers
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right