The true option about the system of linear equation is that the system can only be independent and consistent.
How to illustrate the equation?It should be noted that the system is consistent as it can illustrate more than a solution.
Also, it can't be independent and dependent at the same time as depicted in some of the option given.
In this case, true option about the system is that the system can only be independent and consistent.
The complete question is:
Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
The system can be either inconsistent or consistent.
The system can be either independent or dependent.
The system can only be independent and consistent.
The system can only be dependent and inconsistent.
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please help! due very soon!
Answer:
{x | x = -6, -1, 0, 3}
(first option listed)
Step-by-step explanation:
The domain of a function is all possible x-values for that function
So, we can see (from the x-value portion of our table) that the possible x-values are:
-6 , -1, 0, and 3
We write domain and range in lowest - highest number value order, so we write our domain as such:
{x | x = -6, -1, 0, 3}
{range is all possible y-values, and this would include -7 , 1, 9, and -2}
hope this helps!!
Find two functions defined
implicity by this equation:
(x − 5)² − 3(y + 2)² = 4
Answer:
[tex] \frac{dy}{dy} = \frac{x - 5}{3y + 6} [/tex]
help me please ! due soon!
Answer:
Step-by-step explanation:
Comment
An x intercept occurs when y = 0. So the table shows three of them.
Answer
There are 3 x values when y = 0. They are
x = - 1x = 2x = 3Answer: A. [tex](-1, 0)[/tex]
Step-by-step explanation:
The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.
According to the table and this knowledge, one x-intercept of this continuous function is [tex](-1, 0)[/tex].
I hope this helps! Pls mark brainliest!! :)
Please answer BOTH the questions xoxo <3
Answer:
First Image: Choice B
Second Image: Choice B
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
First Image:
In our equation, y = 0.1x + 1,
we see that the y-intercept of the line is 1 and the slope is 0.1
We can simple plug in the x values to test if the table is true:
x = -1
y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9
This proves choices A and C are INCORRECT
The next point is at x = 10
y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2
Making choice D INCORRECT
Hence, you've selected the correct choice (B)!
Second Image:
In our equation, y = 3x + 2,
we see that the y-intercept of the line is 2 and the slope is 3
Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2
Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2
6 = 3(4/3) + 2 → 6 = 4 + 2. → 6 = 6
3 = 3(1/3) + 2 → → 3 = 1 + 2. → 3 = 3
20 = 3(6) + 2 → 20 = 18 + 2. → 20 = 20
Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2
Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2
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The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
Answer:
Both legs would be 20
Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.
I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.
Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23
Answer:
- 1
Step-by-step explanation:
note there is a common difference of 6 between consecutive terms , that is
23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6
by subtracting 6 from the previous term we get
23 - 6 = 17
17 - 6 = 11
11 - 6 = 5
5 - 6 = - 1
the first negative number in the sequence is - 1
A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.
help pls
Answer:
The answers are=
(38, 0)time in seconds(19, 1768.9)Heightin metersThe x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The graph of the parabolic path is shown in the picture.
From the graph:
The x-coordinate of the vertex is (38, 0)
The x-coordinate represents time in seconds
The y-coordinate of the vertex is (19, 1768.9)
The y-coordinate represents the height in meters
Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
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The function y = f(a) is graphed below. What is the average rate of change of the
function f(a) on the interval -8 < < 8?
Answer: -35/16
Step-by-step explanation:
[tex]f(8)=-5\\\\f(-8)=30\\\\\frac{f(8)-f(-8)}{8-(-8)}=\frac{-5-30}{16}=\boxed{-\frac{35}{16}}[/tex]
A recipe that makes 18 chocolate chip cookies calls for 2.5 cups of flour. How many cookies can you make if you have 3.75 cups of flour (and enough of the other ingredients)?
Answer:
27
Step-by-step explanation:
3.75/2.5x18=27
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65
The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
59.32 - 59.1 = 0.22
2.4 - 1.5 = 0.9
0.22 / 0.9 = 0.25
Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
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On Monday, the water was shut off 3 times for ¼ hours, 2/3 hours, and 1-3/4 hours, respectively. What was the total number of hours the water was off?
Answer:
2-2/3 hours
Step-by-step explanation:
1/4 + 2/3 + 1-3/4 = 1/4 + 2/3 + 7/4. Use common is 12, so we get 3+8+21/12 = 32/12. Simplify equal 8/3 or 2-2/3 hours!
Write 1 3/5 as an improper fraction?
13. Find the values of x and y in the diagram below.
א
9
13
7
y
3
10
17
Answer:
x = 2
y = 4
Step-by-step explanation:
Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.
Add the 3 on its lower left to get 10.
so, 3 - x = 1. x = 2
17 - y = 13. y = 4
maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4
The maximum value of the objective function is 31.787
How to maximize the function?The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
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The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The function g is related to one of the parent functions g(x) = |x − 1| + 5.
Then the parent function f(x) will be
f(x) = |x|
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).
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On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?
g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
[tex]g(x) = \sqrt[3]{x + 2}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]More can be learned about translation concepts at https://brainly.com/question/4521517
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Answer:
The answer is B. On EDGE.2022
Step-by-step explanation:
Just did it
In the standard Normal distribution, 43% of observations lie below which z-score?
Find the z-table here.
–1.08
–0.18
0.18
1.08
Picture posted below
The answer is -0.18
when you convert 43% to decimal, it is 0.43
And the z-score of 0.43 is closest to -0.18
Hope it helps!
What is an undefined term in geometry?
OA. A sentence that asserts a fact
OB. A term that has no formal definition, but is used to define other
terms
OC. A clause preceded by "if" in a conditional statement
OD. A statement in which the hypothesis and conclusion are switched
An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms
How to define the term?In geometry, there are four undefined terms.
These terms are:
PointLinePlaneSet.The above items do not have a specific or formal definition. However, they are used to define other terms in geometry
This is the reason they are referred to as undefined terms.
Hence, an undefined term in geometry is (b)
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I need help with number 10 and I'm not sure if a or b is correct either.
Answer:
:)
Step-by-step explanation:
You don't need help. You got all the answers correct. :))))) Nice!
Given: angle 2 and angle 4 are vertical. Prove angle 2 congruent to angle 4
Need help quick!
The diagram shows that ∠2 and ∠4 are the vertical angles.
What are vertical angles?Vertical angles are the angles that are opposite of each other when two lines cross.
The statements are:
1. < 2 & < 4 are vert. angles
2. Lines M & N intersect at P
3. < 2 & < 3 are a linear pair
4. m < 2 + m < 3 = 180
5. <3 and < 4 are a linear pair
6. m < 3 + m <4 =180
7. m < 2 + m < 3 = m < 3 + m < 4
8. m < 2 = m < 4
9. < 2 =~ <4
Here are the reasons:
1. Given
2. Def of vertical angles.
3. Def of. Linear pair
4. Angle addition postulate
5. Def of a linear pair
6. Angle addition postulate
7. Substitution property
8. Subtraction property
9. Def of =~ angles.
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Answer: View the picture below!
Step-by-step explanation: Just did the assignment!
Find the radius of a circle with area 345 square centimetres
30 pts need in like 10 mins!!
Please say the answer like-
… divided by … = ……
Or
… times … = …..
Answer:
5.9
Step-by-step explanation:
It's because area is 345
Formula , A=πr2Find the √ of 34518.6=3.14×f2fR = 5.9Simplify completely!!!
Answer:
h^24
Step-by-step explanation:
hope that helpssndbfbsb
Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.
Among all the three ordered pairs no one lies on the graph of the function f(x)=[tex]-25^{x} +1[/tex].
Given The value of a function f(x)=[tex]-25^{x} +1[/tex]
If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.
Taking first ordered pair :(1,625)
value of x is 1 and value of y is 625.
we have to put in the function so
625=-[tex]25^{1}+1[/tex]
625 is not equal to -24 so it does not satisfy.
Taking second ordered pair :(0,-25)
-25=-25 raise to power 0 +1
-25 is not equal to 1 so it does not satisfy.
Taking third ordered pair: (-1,-1)
-1=-1/25+1
-1 is not equal to 24/25 so it does not satisfy.
Hence among all the ordered pairs none will lie on line of the given function.
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Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?
From Khan Academy Pre Algebra
Please Evaluate This Question:
answer is this in decimal form if this is what ur looking for 4.21900462…
hope it helps....
Answer:
17.8
Step-by-step explanation:
What is the coefficient in this expression?
2/5
O
2/5
Op
05
02
Answer:
2/5 is the coefficient.
Coefficient generally refers to the numerical value in an expression.
And the expression here is 2/5.
So, 2/5 makes up the coefficient.
Can someone please help me with this!!
Answer: -7
Step-by-step explanation:
[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]
If x=0,what is the value of (8x)^0
[tex] {8x}^{0} \\( {8 \times 0})^{0} \\ {0}^{0} \\ it \: is \: undefined[/tex]
PLEASE GIVE BRAINLIEST
Which graph represents y=12+2x
14. What is the measure of ZABC in the image shown? OE A B 10x - 10 100 - 2x 2x + 10 C 14. What is the measure of ZABC in the image shown ? OE A B 10x - 10 100 - 2x 2x + 10 C
Answer: 110 degrees
Step-by-step explanation:
By the exterior angle theorem.
[tex]10x-10=100-2x+2x+10\\\\10x-10=110\\\\\therefore \angle ABC=110^{\circ}[/tex]
