What is the solution to the system of linear equations graphed below?
A. (0,3)
B. (0,-2)
C. (-2,-2 1/2)
D. (-2 1/2, -2)
Answers
The solution to the system of linear equations graphed is (-2.5, -2). So, the correct answer is option D.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The ordered pair that is a solution to both equations is the system's solution. We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found.
In the given graph, the intersection point is (-2.5, -2).
Therefore, option D is the correct answer.
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Related Questions
Find the zeros of the function. F(x)= cube root of x
Answers
Which statement best describes the graph of x3 − 3x2 − x + 3?
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 2, and 3.
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 2, and 3.
It starts up on the left and goes down on the right and intersects the x-axis at x = −1, 1, and 3.
Answers
It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3.
Which statement best describes the graph?
We want to describe the graph of:
[tex]y = x^3 - 3x^2 - x + 3[/tex]
We can see that the y-intercept is y = 3, and the x-intercepts can be seen in the graph below, these are at: x = -1, x = 1 and x = 3.
We also can see that it is cubic, so it starts down.
Then the correct option is the second one:
"It starts down on the left and goes up on the right and intersects the x-axis at x = −1, 1, and 3."
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When constructing inscribed polygons how can you be sure the figure inscribed is a regular polygon
Answers
The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?
Answers
4x-8 , this is your profit function
= 9x -2 - (5x + 6)
= 9x - 5x -2 - 6
= 4x - 8
Point B is between A and C. If AB = 6 cm and BC = 11 cm, what is AC?
Answers
Three times the greater of two consecutive odd integers is five less than four times the smaller. find the two numbers.
Answers
Given,
3(x + 2) = 4x -5
3x + 6 = 4x - 5
x = 11
Hence, the consecutive odd integers are 11 and 13.
How many terms are in the polynomial abcd + e - h 2? two three five six
Answers
Answer:
The number of terms in the polynomial are:
Three.
Step-by-step explanation:
We are given a polynomial expression in terms of variable a,b,c,d , e and h as:
[tex]abcd+e-h^2[/tex]
We know that in any algebraic expression the number of terms are the number of unlike expressions that are separated by a minus or plus i.e. addition sign.
Hence here by looking at our polynomial expression we see that there are three terms in the expression :
1) [tex]abcd[/tex]
2) [tex]e[/tex]
3) [tex]h^2[/tex]
Which of the following is unnecessary when multiplying these polynomials?
(2x^3+2x^2-3x)(9x^2-4x+5)
A)use of the distributive property
B)use of the multiplication property of exponents
C)combine like terms
D)find the GCF
Answers
_____________________________________________________________
If the diagonals of a quadrilateral do not bisect each other then the quadrilateral could be a
Answers
The diagonals of a quadrilateral do not bisect each other then the quadrilateral could be a scalene trapezoid
What is a trapezoid?
The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
For a scalene trapezoid ,
The four sides are of unequal length
The angles of the scalene trapezoid are not equal
The shortest distance between two parallel sides is known as the altitude
The sides of the scalene trapezoid does not bisect each other
Hence , the diagonal is a scalene trapezoid
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A job is shared by 4 workers, w, x, y, and z. worker w does 1/4 of the total hours. worker x does 1/3 of the total hours. worker y does 1/6 of the total hours. what fraction represents the remaining hours allocated to person z?
Answers
answer is : 1/4 hrs was allocated to worker z
Solve the quadratic equation -x^2=4
Answers
[tex](-x)(-x) = 4[/tex]
[tex]x^2 = 4[/tex]
[tex]x = 2[/tex]
So, 2 is the answer.
Simplify (−34.67)0. I'm not really understanding how to do this so please someone help me.
Answers
If it's -34.67^0 = then it's equal to -1 becomes anything to the power of 0 is 1.
But in this case it's a -1 because the base is negative.
If the measure of angle is 38 what is the measure of its complement
Answers
What is the equation of the blue graph?
Answers
since the blue graph is 2 lines to the left of the red graph, that would mean it moved -2
so the equation needs to include -2
the correct answer is C
if H(x)=4x-8 and j(x) = -x solve h{j(3)}
Answers
-------------------------------------
j(x) = -x
j(3) = -3 ... replace every x with 3
h(x) = 4x - 8
h(j(3)) = 4*( j(3) ) - 8 ... replace every x with j(3)
h(j(3)) = 4*(-3) - 8 ... replace the j(3) on the right side with -3
h(j(3)) = -12 - 8
h(j(3)) = -20
For the following geometric sequence, find the recursive formula.
{-80, 20, -5, ...}
Answers
[tex]x_n=x_{n-1}* \frac{-1}{4} , x_1=-80[/tex]
or
[tex]x_n=-80*(\frac{-1}{4})^{n-1} [/tex]
Answer:
[tex]x_{n+1}=-\frac{x_{n}}{4}[/tex]
Step-by-step explanation:
We can get geometric sequence dividing each term by -4
So we will have:
[tex]x_{n+1}=\frac{x_{n}}{-4}=-\frac{x_{n}}{4}[/tex]
We can prove it putting the first value in this recursive equation:
x₁=-80
n = 1
[tex]x_{2}=-\frac{x_{1}}{4}=-\frac{-80}{4}=20[/tex]
If x₂ = 20, the next value will be:
[tex]x_{3}=-\frac{x_{2}}{4}=-\frac{20}{4}=-5[/tex]
I hope it helps you!
Subtract 11a2+42a-6 from 14a2-24a+7
Answers
14a^2 - 24a + 7 - 11a^2 - 42a + 6 =
3a^2 -66a + 13 <==
The values of subtraction of 11a²+42a-6 from 14a²-24a+7 is
3a² - 66a + 1.
What is Expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
We have to Subtract 11a²+42a-6 from 14a²-24a+7.
So, the subtraction is as follows
= 14a²-24a+7 - ( 11a²+42a-6)
= 14a²-24a+7 - 11a² - 42a + 6
= 14a²- 11a² -24a - 42a + 7- 6
= 3a² - 66a + 1
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Noa drove from the Dead Sea up to Jerusalem, and her altitude increased at a constant rate of 740 meters per hour. When she arrived in Jerusalem after 1.5 hours of driving, her altitude was 710 meters above sea level.
Let A(t) denote Noa's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).
Answers
A(t)=740t+a₀
where a₀ is initial height or the height she started at
we want to find her initial height
after 1.5 hours, she was 710 meters above sea levl
alright
A(1.5)=740(1.5)+a₀=710
740(1.5)+a₀=710
1110+a₀=710
minus 1110 both sides
a₀=-400
so she stared at -400 meters below sea level
and the equation would be (or function)
A(t)=740t-400
She stared at -400 meters below sea level and the equation is A(t)=740t-400
Functions and valuesFunctions are written in terms of variables
From the given question;
Let a₀ is the initial height or the height she started at
Required
Initial height
After 1.5 hours, she was 710 meters above sea level
Substitute the given time into the function
A(1.5)=740(1.5)+a₀=710
740(1.5)+a₀=710
1110+a₀=710
a₀=-400
This shows that she stared at -400 meters below sea level and the equation is A(t)=740t-400
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On an up hill hike Ted climbs at 3 mph. Going back down, he runs at 5 mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike?
Answers
Distance traveled = (average)Speed*Time.
i) when Ted Climbs up:
let D be the distance, T the time it takes Ted to climb, S_u=3mph is the speed as Ted climbs up.
then: D=3T
ii) when Ted goes down:
D is the distance, T-40 the time it takes Ted go down, S_d=5mph is the speed as Ted climbs up.
then: D=5(T-40)
equalizing the equations in i and ii:
(D=) 3T=5(T-40)
3T=5T-200
200=2T
T=100 (minutes)
the total length of the hike is T+T-40=100+100-40=160 (minutes)
Answer: 160 minutes
Answer: He hiked 10 miles.
Step-by-step explanation:
3mi/hr x 1 2/3 hr = 5 miles. 5 mi/hr x 1 hr = 5 miles.
Rewrite each of the following linear equation in equivalent y=mx+b
what's the slope and the y-intercept
HELP ME PLZZ
Answers
2y-3x=10 add 3x to both sides
2y=3x+10 divide both sides by 2
y=1.5x+5, since y=mx+b, m=slope and b=y-intercept
slope=1.5 and the y-intercept is, technically the point, (0, 5)
how are the rules of signs for multiplication and division related
Answers
The product/quotient of unlike signs are always negative.
ie.
+*+=+ and -*-=+
+/-=- and -/+=-
(02.06 LC)
The figure below shows parallel lines cut by a transversal:
Which statement is true about ∠1 and ∠2?
A. ∠1 and ∠2 are complementary because they are a pair of corresponding angles.
B. ∠1 and ∠2 are congruent because they are pair of corresponding angles
C.∠1 and ∠2 are complementary because they are a pair of alternate interior angles.
D.∠1 and ∠2 are congruent because they are pair of alternate interior angles.
Answers
25 characters
which figure has both line of symmetry and rotational symmetry
Answers
Answer:
A line of symmetry is when you can put a line through a shape and you can fold it and it is identical on both sides, and rotational is when you can rotate it and at some point it is in the same spot as it was before, so yes, you are right. the octogon.
Step-by-step explanation:
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
Answers
But given your multiple choice...
1) Shape 1 and 2 isn't congruent so false.
2) Shape 1 and 2 don't share the same coordinates because of a prior translation so false.
3) Shape 1 and 2 isn't congruent so false.
4) Shape 1 could be translated onto shape 2, but it still would not be congruent, so true.
Therefore the 4th one is true.
What is the solution to the system of equations graphed below?
a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2)
Answers
Match the following items by evaluating the expression for x=-3.
x^-3 1/9,-3,-1/3,9,1
x^-1 -1/3,1,9,1/9,-3
x^0 -3,9,-1/3,1/9,1
x^1 1/9,-3,-1/3,1,9
x^2 -3,1,9,1/9,-1/3
Answers
could have been -3^-2=1/(-3^2)=1/9
-3^-1=1/(-3^1)=-1/3
-3^0=1
-3^1=-3
-3^2=9
Answer:
The values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].
Step-by-step explanation:
We need to find the value of each expression at x=-3.
The given expression is
[tex]x^{-3}[/tex]
It can be written as
[tex]x^{-3}=\frac{1}{x^3}[/tex] [tex][\because x^{-n}=\frac{1}{x^n}][/tex]
Substitute x=-3 in the above expression.
[tex]x^{-3}=\frac{1}{(-3)^3}\Rightarrow -\frac{1}{27}[/tex]
Similarly,
[tex]x^{-1}=\frac{1}{x}\Rightarrow -\frac{1}{3}[/tex]
[tex]x^{0}=1[/tex] [tex][\because x^{0}=1][/tex]
[tex]x^{1}=(-3)^1=-3[/tex]
[tex]x^{2}=(-3)^2=9[/tex]
Therefore the values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].
in a batch of 280 water purifiers 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. A. 4.3% b. 5.6% c. 95.7% d. 71.8%
Answers
the answer would be 4.3 percent
five friends go out to lunch and they decide to split the bill evenly the bill comes out to 57.25 how much does each person owe?
Answers
Assume that y varies inversely with x. If y=12 when x=5, find y when x=3
Answers
Since when y = 12 x = 5, then c = 12*5 = 60
So xy = 60
Now when x = 3, y = 60/3 = 20
When y varies inversely with x, they follow the rule y = k/x. If y=12 when x=5, the constant 'k' is found to be 60. Using this constant, when x=3, y is found to be 20.
Explanation:In mathematics, when we say that y varies inversely with x, it means that as x increases, y decreases proportionally, and vice-versa. Y and x follow the rule y = k/x, where k is a constant number.
Given that y = 12 when x = 5, we can find the constant by multiplying x and y together, so: k = x * y = 12 * 5 = 60.
Now that we have our constant, we can find y when x = 3 by rearranging the formula to y = k / x which gives us: y = 60 / 3 = 20. So, when x is 3, y is 20.
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Carly and janiya put some money into their money boxes every week. the amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:carlyy = 60x + 40janiyay = 50x + 80after how many weeks will carly and janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340
Answers
janiya : y = 50x + 80
60x + 40 = 50x + 80
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 <=== so at 4 weeks, they will have the same amount of money <==
The money they have is : y = 60(4) + 40.....y = $ 280 <=
so ur answer is : 4 weeks, $ 280