Haven't seen this question before
Select the type of equations
A.) Consistent
B.) Equivalent
C.) Inconsistent
Answers
Equivalent means that there are infintely many soultions
InConsistent means that they do not intersect
since it has one intersection point it is a consistent system
Answer:
A). Consistent.
Step-by-step explanation:
We have been given a graph of a system of equations. We are asked to determine the type of the given system.
Upon looking at our given graph, we can see that both lines intersect exactly at one place, so it will have exactly one solution.
We know that a system of equations exactly with one solution is known as consistent system.
Therefore, option A is the correct choice.
Related Questions
Two cars leave the origin; one goes north at 45 mph and the other goes south at 30 mph. after how many hours will they be 400 miles apart?
Answers
400 = 75x
5.333 = x
Lets test
45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.
Determine the dimensions of the rectangle that requires a minimum amount of fence.
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Study the Proof: Give the reasons for the missing reason. List the number and then state the reason
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1. Given
2. Segment Addition Postulate
3. Add BC on the both sides
you learn from your science teacher that the water expands when you freeze it. the next time you freeze your water bottle,you will leave room for the water to expand so that the bottle dose not crack.
what kinda reasoning did you use
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What are the new coordinates of the point (-3, 7) after it has been rotated 90° counterclockwise about the origin?
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From a point level with and 1000ft away from the base of the washington monument, the angle of elevation to the top of the momument is 29 degrees. find the height of the monument
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which polygon does NOT belong with the other three?
A. parallelogram
B. rectangle
C. rhombus
D. Pentagon
Answers
Answer:
The polygon that does NOT belong with the other three is a pentagon.
Step-by-step explanation:
A polygon is a 2 D shape formed with straight lines. Like - triangles, quadrilaterals, pentagons, hexagons etc.
Here in the given choices, parallelogram , rectangle and rhombus all are four sided polygons and has parallel sides.
Only pentagon has 5 sides with no parallel sides.
Hence, the polygon that does NOT belong with the other three is a pentagon.
After selling a dozen copies of the daily newspaper a newsstand had fewer than 75 copies left how many copies did the newsstand have at the beginning of the day
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20 points!!!! What number needs to be added to both sides of the equation in order to complete the square?
x²+16x=18
( x² + 16 +_____= 18+______
Answers
(x^2 + 16 + 8^2 = 18 + 8^2
What are the domain and range of the function
Answers
Answer:
The domain is the all possible value of x which give the real value of y whereas Range is the all possible value of y after putting the values of x.
For example: We have function: f(x) = x²
Here Domain = All Real Numbers = (-∞, ∞) {∵ For every value of x f(x) give real value)
and, Range = All positive real number = (0, ∞) {∵ f(x) is giving only positive value no matter what the value of x is}
If k= am + 3mx, Express the value of m in terms of a, k and x?
Answers
factorise m
k= m(a+3x)
divide by a+3x
Factorise m
k= m (a+3x)
Divide by a + 3x
One mile is 5280 feet. there are 3600 seconds in one hour. how many feet per second, rounded to the nearest hundredth, does a car travel when it is traveling at 60 miles per hours
Answers
A particular investment account offers an interest rate of 8% each year. An investor puts $3,500 into the account. For tax purposes, he wants to determine the number of years, t, for which the account will have less than $6,000. Write an inequality to represent this situation, and use it to determine the number of years for which the account will have less than $6,000.
Answers
Final answer:
The compound interest inequality for the investment account is 3500(1 + 0.08)^t < 6000. Solving this, we find that the account will have less than $6,000 for approximately 6 years.
Explanation:
To solve this problem, we will use the formula for compound interest which is [tex]A = P(1 + r)^t,[/tex] where:
A is the future value of the investment/loan, including interestP is the principal investment amount ($3,500 in this case)r is the annual interest rate (decimal)t is the number of years the money is invested or borrowed forWe are trying to find the number of years, t, when the account will have less than $6,000, at an annual interest rate of 8%, i.e., r = 0.08.
The inequality will be:
[tex]3500(1 + 0.08)^t < 6000[/tex]
To solve for t, we first divide both sides by 3,500:
[tex](1 + 0.08)^t[/tex]< ≈ 1.7143
Now, take the natural logarithm of both sides:
[tex]ln((1 + 0.08)^t) < ln( 1.7143)[/tex]
t · ln(1.08) < ln(≈ 1.7143)
Divide both sides by ln(1.08) to isolate t and calculate:
t < ≈ ln(≈ 1.7143) / ln(1.08) < ≈ 6.6
Therefore, the investment account will have less than $6,000 for approximately 6 years.
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?
Answers
x1 = 7
and y1 = 0
the points are (7,0)
Answer: equation of a linear function in point-slope form
Step-by-step explanation:
Given : The equation of a linear function in point-slope form passing through point [tex](x_1,y_1)[/tex] is
[tex]y -y_1 = m(x -x_1)[/tex]
The equation written by Harold correctly
[tex]y = 3(x - 7)[/tex]
It can be written as:[tex]y-0 = 3(x - 7)[/tex]
When we compare to the equation of a linear function in point-slope form, we get [tex]y_1=0,\ x_1=7[/tex]
Hence, the point used by Harold = [tex](x_1,y_1)=(7,0)[/tex]
81 1/4 is equal to 2. True or False
Answers
81 1/4 is much greater than 2.
How do you find what a variable means?
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Which lines or segments are parallel? Justify your answer.
Answers
Explanation:
Angles on equivalent sides of parallel lines created by a traversal are equal.
The traversal PQ creates equal angles at P and Q on equivalent sides of line segments PQ and QT.
(a + b)2 = 1a^2 + 2ab + 1b^2
(a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3
How are binomial expansions related to Pascal’s triangle?
Answers
where n=0, 1, 2, 3, ...
For example
[tex]\displaystyle{ (a+b)^0=1[/tex]
[tex]\displaystyle{(a+b)^1=1a+1b[/tex]
[tex]\displaystyle{(a+b)^2=1a^2+2ab+1b^2[/tex]
[tex]\displaystyle{ (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3[/tex]
...
...
Consider the Pascal's triangle, as shown in the picture, where the very first row is denoted by row 0, the second by row 1, the third by row 2 and so on...
We notice that the coefficients of the expansion of [tex](a+b)^n[/tex], are the entries in the [tex]n^{th}[/tex] row of Pascal's triangle.
Answer:
The coefficients of the terms come from rows of the triangle.
If the exponent is n, look at the entries in row n.
Lesson 1: identify pairs of lines and angles draw two lines intersected by a transversal. label corresponding angles ∠1 and ∠2. label alternate interior angles ∠3 and ∠4. label alternate exterior angles ∠5 and ∠6. label consecutive interior angles ∠7 and ∠8. label vertical angles ∠9 and ∠10. answers
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What is the probability that a point chosen at random on the grid will lie in the unshaded region?
a. 5/8
b. 2/5
c. 3/8
d. 3/5?
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One theme from "The Yellow Wallpaper" is that women played a lesser role in marriage during the 19th century. Which line from the passage best supports this theme?
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Answer: Answer is A for apex ; ` And I know John would think it absurd. But I MUST say what I feel and think in some way - it is such a relief! ´
Step-by-step explanation:
What is the domain of the function on the graph
Answers
Answer:
The correct option is all real numbers greater than or equal to -3.
Step-by-step explanation:
The concept of domain of a function refers to all the points in the x axis for which the function is defined. In the graph as you can see the function starts in x = -3 (includes that point) and growths towards positive values of x, to +∞. So its domain is [-3, ∞) or {R, x≥ -3} in other words "all real numbers greater than or equal to -3."
[tex] \sqrt{ \frac{3}{16} } [/tex]
Rational or irrational?
Answers
When you have a non-exact root (irrational number)
[tex] \sqrt{ \frac{3}{16} } \to \frac{ \sqrt{3} }{ \sqrt{16} } \to \boxed{\boxed{\frac{ \sqrt{3} }{4} }}\Longleftarrow(irrational\:number)\end{array}}\qquad\quad\checkmark[/tex]
On average, a shooter can hit his target one time in four. if he fires 4 shots in a row, what is the probability that he will hit his target?
Answers
The length of the boston marathon is 138,435 ft. each stride, or step, by a particular runner is 3ft. long. does the number of strides the runner takes fit evenly into the length of the race? explain.
Answers
Yes 138,435 can be divided by 3 it equals to 46,145
f f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (F/g)(x)
Answers
What is the simplified form of the left side of the following equation?
2x-4+5x=8
Select the correct answer below.
A.2x+1
B.3x-4
C.5x-2
D.7x-4
Answers
Answer:
D. 7x -4
Step-by-step explanation:
You want the simplified form of the expression 2x-4+5x.
Like termsAn expression is simplified by eliminating parentheses and combining like terms. Here, there are no parentheses, but there are like terms: 2x and 5x. Combining them gives ...
2x -4 +5x
= (2 +5)x -4
= 7x -4 . . . . . . . . . matches choice D
Write the identity of the missing nucleus for the following nuclear decay reaction: 232 90Th→228 88Ra+?
Answers
The missing nucleus in the nuclear decay reaction of Thorium-232 into Radium-228 is an alpha particle, or Helium-4.
Explanation:The question pertains to a nuclear decay reaction where Thorium-232 decays into Radium-228 and a missing nucleus. The missing nucleus can be determined by subtracting the atomic mass and atomic number of the daughter nucleus (Radium-228 with atomic number 88) from the parent nucleus (Thorium-232 with atomic number 90). This yields an alpha particle (He), which has an atomic mass of 4 and atomic number of 2. Here's how it works:
232 90Th (parent nucleus) → 228 88Ra (daughter nucleus) + 4 2He (missing nucleus).
Thus, the missing nucleus is an alpha particle (Helium-4).
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The cost of a ticket to ride a roller coaster at the fair is $2. there are n people in a group who want to go on the ride. write an expression that describes the total amount of money the group will need to ride this roller coaster.
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n(2)
The triangles are similar
What is the value of x?
Enter your answer in the box.
x=
The triangles are similar
What is the value of x?
Enter your answer in the box.
x=
What is AE ?
Enter your answer in the box.
Hunter designs two flags for his adventure club.
What is the length of the base, x, of the larger flag?
Enter your answer, as a decimal, in the box.
A man throws a basketball from 30 in. above the ground. The basketball bounces off the floor and a boy catches it. The distance the ball traveled from the man to the floor is 45 in., and the distance the ball traveled from the floor to the boy is 40 in. The angles formed from by the basketball's path are congruent.
What is the distance, x, from the floor that the boy caught the ball?
Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.
Answers
The value of x is AB/3, which is equal to KD/3.
Explanation:In the given scenario, we have two similar triangles, HKD and KFD. Since they are similar, their corresponding sides are proportional. In triangle HKD, the width KD is equal to x, and in triangle KFD, the base KF is equal to 3x (proportional to AB). Therefore, the value of x is AB/3, which is equal to KD/3.
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Answer: x=16
Step-by-step explanation:
In the processes of the dilation each number displayed in the first triangle is multiplied by four in order for the second figure to be created. Therefore you would also multiple 4 x 4 in order to get 16.