Answer:
a
Step-by-step explanation:
I think it's A so I said A
Answer:
the correct answer is C
Step-by-step explanation:
find the value of x.
Answer:
[tex]\boxed{\text{\sf \Large 3}}[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180°
[tex]180-(24x+3+25x)[/tex]
[tex]-49x+177[/tex]
Angles on a straight line add up to 180°
[tex]-49x+177+150=180[/tex]
[tex]x=3[/tex]
Diego's age `d` is 5 more than 2 times his sister's age `s`. This situation is represented by the equation `d=2s+5`. If we know Diego's age, which equation will help us find his sister's age?
Answer: [tex]s=\dfrac{(d-5)}{2}[/tex].
Step-by-step explanation:
Given: d denotes Diego's age while s denotes his sister's age.
The situation is represented by the equation d=2s+5.
To find his sister's age we can write the above equation as [tex]s=\dfrac{(d-5)}{2}[/tex] [we first subtract 5 from both sides and then divide both sides by 2]
Hence, the required equation: [tex]s=\dfrac{(d-5)}{2}[/tex].
What is the slope of the line through (-12, 1) and (-1, 1)?
Answer:
The equation is y = 1. Therefore, the slope is undefined.
Which systems of linear equations have no solution?
x + y + z = 1,100
x - 2y - z = -500
2x + 3y + 2z = 2,600
x + y + z = 1,500
x - y -z = -500
2x + y + z = 2,000
x + y + z = 1,400
X-2y - Z = -500
2x + 2y + 2z = 2,700
x + y + z = 1,400
-0.5x - 0.5y - 0.5z = -900
2x + 3y + 2z = 3,000
x + y + z = 1,900
x - y - 2z = -2,000
2x + 2y + z = 1,100
x + y + z = 2,400
2x - 2y + 2z = 700
x + 3y + z = 2,400
Answer:
Step-by-step explanation:
The systems of linear equations that have no solution are:
a)
x + y + z = 1,100
x - 2y - z = -500
2x + 3y + 2z = 2,600
b)
x + y + z = 2,400
2x - 2y + 2z = 700
x + 3y + z = 2,400
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To determine which systems of linear equations have no solution, we need to check whether the system is inconsistent, i.e., there are no values of x, y, and z that satisfy all the equations simultaneously.
One way to check this is to use row reduction to put the system into row echelon form or reduced row echelon form and see if we obtain any contradictory equations.
Another way is to use determinants, but we'll use row reduction here.
a)
| 1 1 1 | 1,100 |
| 1 -2 -1 | -500 |
| 2 3 2 | 2,600 |
R2 = R2 - R1 and R3 = R3 - 2R1:
| 1 1 1 | 1,100 |
| 0 -3 -2 | -1,600 |
| 0 1 -1 | -1,800 |
R2 = -1/3 R2 and R3 = R3 + R2:
| 1 1 1 | 1,100 |
| 0 1/3 2/3 | 533.33|
| 0 0 1/3 | -933.33|
Now, we can solve for z in the last equation:
z = -2800
Substituting into the second equation gives:
y = 2666.67
But substituting into the first equation gives:
x = -566.67
So, this system has no solution.
b)
| 1 1 1 | 1,500 |
| 1 -1 -1 | -500 |
| 2 1 1 | 2,000 |
R2 = R2 - R1 and R3 = R3 - 2R1:
| 1 1 1 | 1,500 |
| 0 -2 -2 | -2,000 |
| 0 -1 -1 | -1,000 |
R2 = -1/2 R2 and R3 = R3 - 1/2 R2:
| 1 1 1 | 1,500 |
| 0 1 1 | 1,000 |
| 0 0 -1 | -500 |
Now, we can solve for z in the last equation:
z = 500
Substituting into the second equation gives:
y = 500
But substituting into the first equation gives:
x = 500
So, this system has a unique solution.
c)
| 1 1 1 | 1,400 |
| 1 -2 -1 | -500 |
| 2 2 2 | 2,700 |
R2 = R2 - R1 and R3 = R3 - 2R1:
| 1 1 1 | 1,400 |
| 0 -3 -2 | -900 |
| 0 0 0 | 0 |
The last row of the augmented matrix corresponds to the equation 0x + 0y + 0z = 0, which is always true.
Therefore, this equation is not contradictory and doesn't add any new information to the system.
We can eliminate it and rewrite the system as:
| 1 1 1 | 1,400 |
| 0 -3 -2 | -900 |
R2 = -1/3 R2:
| 1 1 1 | 1,400 |
| 0 1 2/3 | 300 |
R1 = R1 - R2:
| 1 0 1/3 | 1,100 |
| 0 1 2/3 | 300 |
Now, we can solve for z in the first equation:
z = 3,300
Substituting into the second equation gives:
y = -1,200
But substituting into the first equation gives:
x = -2,200
So, this system has a unique solution.
d)
| 1 1 1 | 1,400 |
|-0.5 -0.5 -0.5 | -900 |
| 2 3 2 | 3,000 |
R2 = 2R1 + R2 and R3 = -4R1 + R3:
| 1 1 1 | 1,400 |
| 0 1/2 1/2 | -100 |
| 0 -1 -2 | -3,600 |
R3 = -2R2 + R3:
| 1 1 1 | 1,400 |
| 0 1/2 1/2 | -100 |
| 0 0 -3 | -3,400 |
Now, we can solve for z in the last equation:
z = 1,133.33
Substituting into the second equation gives:
y = -1,066.67
But substituting into the first equation gives:
x = 2,333.33
So, this system has a unique solution.
e)
| 1 1 1 | 1,900 |
| 1 -1 -2 | -2,000 |
| 2 2 1 | 1,100 |
R2 = R2 - R1 and R3 = R3 - 2R1:
| 1 1 1 | 1,900 |
| 0 -2 -3 | -3,900 |
| 0 0 -3 | -4,100 |
Now, we can solve for z in the last equation:
z = 1,366.67
Substituting into the second equation gives:
y = -1,033.33
But substituting into the first equation gives:
x = 1,667
So, this system has a unique solution.
f)
| 1 1 1 | 2,400 |
| 2 -2 2 | 700 |
| 1 3 1 | 2,400 |
R2 = R2 - 2R1 and R3 = R3 - R1:
| 1 1 1 | 2,400 |
| 0 -4 0 | -1,100 |
| 0 2 0 | 1,000 |
R2 = -1/4 R2 and R3 = 1/2 R3:
| 1 1 1 | 2,400 |
| 0 1 0 | 275 |
| 0 1 0 | 500 |
R3 = R3 - R2:
| 1 1 1 | 2,400 |
| 0 1 0 | 275 |
| 0 0 0 | 225 |
The last equation shows that 0x + 0y + 0z = 225, which is impossible. Therefore, this system has no solution.
Thus,
The systems of linear equations that have no solution are:
a)
x + y + z = 1,100
x - 2y - z = -500
2x + 3y + 2z = 2,600
b)
x + y + z = 2,400
2x - 2y + 2z = 700
x + 3y + z = 2,400
Learn more about solutions of equations here:
https://brainly.com/question/545403
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3a-7=4b+1 solve for b
Answer:
b = [tex]\frac{3a-8}{4}[/tex]
Step-by-step explanation:
Given
3a - 7 = 4b + 1 ( subtract 1 from both sides )
3a - 8 = 4b ( divide both sides by 4 )
[tex]\frac{3a-8}{4}[/tex] = b
How many solutions does 7(x - 2) + 5 = 3 (2x - 1) + 1 have?
Answer:
one, x = 7
Step-by-step explanation:
7(x - 2) + 5 = 3 (2x - 1) + 1
reduce:
7x - 14 + 5 = 6x - 3 + 1
x = 7
Daniel has a bag with 9 shoes in it. 4 of the shoes are sport shoes. What is the relative frequency probability that a randomly selected shoe will be a sport shoes?
The cost of a movie tickets for a group of friends is $24. They buy 3 snacks. The cost of each snack is the same. The group spends $43.50 total for tickets and snacks. How much does each snack cost?
Answer:
6.50 is the answer to this
6.50 Step-by-step explanation:
question in pic! answer asap! will give brainliest!
Answer:
I believe the answer is x + 3
Step-by-step explanation:
[tex]{ \large{ \sf{w = \dfrac {\cancel{(x + 5)}(x + 3)}{ \cancel{x + 5}} }}}[/tex]
width = ( x + 3 ) Answer. Option. ( B )−24 = −0.6k can you slove this answer
Answer:
-24 = -0.6k
k=-24/-0.6
k=40
Let me know if this helps!
anyone got an answer for this math question?
Answer:
So you have a scale
you multiply: 8×(3/4)
And your x= 6
If someone wants to help me
Answer:
x=8
Step-by-step explanation:
how are graphs that have a>1 different from graphs with 0
Slide curve together,if it look like a happy face
Happy = positive/a>1
Slide curve together, if it look like a sad face
Sad = negative/a<1
How many times will the lines intersect?
2x-4y=3
7y-5x=8
Answer:
What line
Step-by-step explanation:
Please take a picture of the line
A ball has a diameter of 8 inches. What is its surface area? (Use 3.14 for pie.) WILL give brainest wh ok answer correct and fast.
Is 20 mm equal to 2 cm
Answer:Yes
Step-by-step explanation:
What is the slope of the equation y - 3 = -4(x - 5)?
O-4
O-3
O 20
O 23
Answer0-4
Step-by-step explanation:
FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
This is your answer ☺️☺️
Alright have posted it now.
The graph shows a quadratic function, f(x), and a cubic function, g(x).
Select all values that are approximate solutions to the equation f(x) = g(x).
x=2
x=1
x=0.6
x=-0.3
x=-0.6
x=-1.4
Answer:
B,c,d
Step-by-step explanation:
0.6 and -0.6.
What is Function?In mathematics, a function is a relationship between two values, x and y, from different sets—A and B. It connects inputs and outcomes.
Given a graph of a quadratic and a cubic equation. Sometimes you may figure out the answer by simply reading the presented problem. In order to determine the solution to the given problem, we must look at any (or any) point on the provided graph. Typically, we start by looking at the graph's x- or y-intercepts. Let's look at the following graph's y-intercept, where we can clearly understand what it looks like. We can tell that the graph's y-intercept is at -1 by looking at it. A position on the y-axis where the value of x is 0 is known as the y-intercept. Let's now examine the provided functions.
F(x) = a(x + 0.5) (x + 1.5)
g(x) = b(x+1)³
Where after putting the value at x = 0, b is 1 and a is 2.667.
Putting option in both equations only value which satisfying function F(x) = g(x) is 0.6, -0.6.
Therefore, values that are approximate solutions to the equation f(x) = g(x) are 0.6 and -0.6.
Learn more about Function here:
https://brainly.com/question/21145944
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Solve for n.
39 = n − –12
n =
Answer:
Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27
Hope this helps!
You have a recipe that calls for 2 parts of milk for every 5 parts of flour You use 8 cups of milk How much flour do you need?
Answer:
20
Step-by-step explanation:
If 5x+3y=12 and 4x-5y=17, what is the value of y?
Answer:
y = -1
(and x = 3)
Step-by-step explanation:
5x + 3y = 12
4x - 5y = 17
First, we'll solve for x in terms of y
5x = 12 - 3y
x = 12/5 - 3/5y
x = 2.4 - 0.6y
Then substitute that mess into the next equation:
4(2.4 - 0.6y) - 5y = 17
and solve for a numerical value of y
9.6 - 2.4y - 5y = 17
-7.4y = 7.4
y = -1
To finish and check, we can use that to solve for x:
x = 2.4 - 0.6(-1)
x = 2.4 + 0.6
x = 3
And check both values in the original equations.
5x + 3y = 12
4x - 5y = 17
5(3) + 3(-1) = 15 - 3 = 12
4(3) - 5(-1) = 12 +5 = 17
LMK if you have questions.
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).???????????????????????????????
Answer: its false
Step-by-step explanation:
What is the best first step in solving -4x+ 10?
Add
5
to both sides.
O
Subtract į from both sides.
Multiply both sides by -4 and reverse the inequality symbol.
Divide both sides by 10 and reverse the inequality symbol.
What is the answer please help me out please 37 big tall fat points
Answer:
Step-by-step explanation:
The first step is usually to isolate the x term. You have -4x - ⅖ on the lefthand side of the equation. You want to remove the -⅖ so the -4x is alone.
Add ⅖ to both sides:
-4x > ⅖ + 5/10
please help, no need to show work, tysmmmm!!
Answer:
translation
Step-by-step explanation:
Evaluate:
log 64
1/16
Answer:
64
Step-by-step explanation:
Evaluate log64 1/16. Write an equation in logarithmic form. log64 1/16 = x. Convert the equation to exponential form 1/16 = 64
Let's say you have 13 marbles in a bag. Seven marbles are big, 6 are small. What is the probability of pulling out one big marble, replacing it, then pulling out a small marble?
Answer:
7/26
Step-by-step explanation:
First, find the probability of pulling out a big marble.
Since there are 7 big marbles, and 26 in total, the probability is 7/26
Now, find the probability of pulling out a small marble after the replacement.
There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13
To find the probability of both of these happening, multiply the probabilities by each other:
(7/26) x (3/13)
= 7/26
So, the probability is 7/26
Given the function f(x) = 3x + 6 and g(x), which function has a greater slope?
Answer:
If both g(x) and f(x) are the same equation, then they will have the same slopes.
Answer: C
Step-by-step explanation:
you're welcome
(-1 + 5i) + (-2 - 3i)
Answer:
-3 + 2 i
Step-by-step explanation: