Answer:
A. Slope = 5/2 , y-intercept = -10
Step-by-step explanation:
To find the y-intercept, it is always at the point on the y-axis where x=0. In the graph, the function crosses over -10 at x=0. So the y=intercept would be -10.
The slope "equation" is rise/run, aka y / x. In this case, an easy way to find it is by taking the y-intercept and seeing how far it is away from the origin. It is 10 away from the origin. Since this graph is heading right and upwards, it is increasing, resulting in the slope being positive. To find the "x" portion, from the origin, find when the graph crosses the x-intercept (the point where the line crosses through the x-axis). In this case, it will be 4.
Now that we know our y value and x value, put them into the slope formula.
Slope = rise/run --> 10/4 ---> 5/2
which of the following equations has exactly one solution?
A. 3x+5-x-2x=1
B. 8-2(x+1)=6x+6
C. 5x+3+x=3(2x+1)
D. 4(x-4)= 2x+2(x-4)
A. 3x+5-x-2x=1 has only one solution.
To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.
A. 3x + 5 - x - 2x = 1
Simplifying, we get:
0 = -6x - 4
6x = -4
x = -2/3
This equation is consistent and has exactly one solution, x = -2/3.
B. 8 - 2(x + 1) = 6x + 6
Simplifying, we get:
6 - 2x = 6x + 6
-8x = 0
x = 0
This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
C. 5x + 3 + x = 3(2x + 1)
Simplifying, we get:
6x + 3 = 6x + 3
0 = 0
This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
D. 4(x - 4) = 2x + 2(x - 4)
Simplifying, we get:
4x - 16 = 4x - 8
-16 = -8
This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.
Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.
Learn more about linear equations:
https://brainly.com/question/2030026
A. 3x+5-x-2x=1 has only one solution.
To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.
A. 3x + 5 - x - 2x = 1
Simplifying, we get:
0 = -6x - 4
6x = -4
x = -2/3
This equation is consistent and has exactly one solution, x = -2/3.
B. 8 - 2(x + 1) = 6x + 6
Simplifying, we get:
6 - 2x = 6x + 6
-8x = 0
x = 0
This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
C. 5x + 3 + x = 3(2x + 1)
Simplifying, we get:
6x + 3 = 6x + 3
0 = 0
This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
D. 4(x - 4) = 2x + 2(x - 4)
Simplifying, we get:
4x - 16 = 4x - 8
-16 = -8
This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.
Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.
Learn more about linear equations:
https://brainly.com/question/2030026
find the probability of drawing a black face card on the first draw, replacing it, and drawing a red card on the second draw. please show work.
Answer:
Half the cards in the deck are black. Your chance of drawing one is 1/2.
Step-by-step explanation:
Four cards in the deck are jacks. Your chance of drawing one is 4/52, which is 1/13.
The chance of you doing so on two draws, with replacement, is 1/2*1/13, or 1/26.
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M (−1, −4). Determine the image coordinates of L′ if the preimage is reflected across y = −2.
L′(−3, 6)
L′(−1, 6)
L′(−1, 2)
L′(1, 2)
Answer:
The answer is L'(-1, -2)
Step-by-step explanation:
If you have any questions ask me please! :)
PLSSS LOOK AT IMAGE, I NEED HELP
Answer: 33.3%
Step-by-step explanation:
Since you want numbers less than 3, that would mean you want the sides with #1 and #2. And since there are six sides on the dice, you would put the number of sides you wish over the total number of sides. This would be 2/6 which could be simplified to 1/3 and if you want a decimal answer divide 1/3 to get a repeating decimal then move two decimal places to the right to make it 33.3% (This is rounded to the nearest tenth decimal place)
Write the equivalent percent for each fraction.
7/2
4/1,000
10/25
3/8
Please help
Answer:
[tex]\frac{7}{2}[/tex] = 350%
[tex]\frac{4}{1000}[/tex] = 0.4%
[tex]\frac{10}{25}[/tex] = 40%
[tex]\frac{3}{8}[/tex] = 37.5%
How to change a fraction into a percentage?
To change a fraction to a percentage, you can divide the numerator by the denominator then multiply the result by 100. Alternatively, you can multiply the numerator by 100 first then divide the result by the denominator of the fraction.
Hope this helps :)
Pls brainliest...
Solve and show each step
Answer: C
Step-by-step explanation:
Let's check each one:
A-
The graph is linear, but it says non-linear
B- Lets take point 4, 10
Y=-x+18
-4+18=14
So, y[tex]\neq[/tex]-x+18
C- Let's take point 4,10
Y=-2x+18
-8+18=10
y does =-2x+18
D- wrong since C is right
Answer:
The correct answer is C.
Step-by-step explanation:
First off, identify the y-intercept. In this case, the y-intercept, or b, is 18. Now that we got the y-intercept, we have to identify if the slope is going up or down. In this particular case, the slope is going down, so the slope is negative. Slope is always delta y over delta x, rise over run in how they teach this in schools, so we have to find two points in particular. I chose (0, 18) and (2, 14) since they're the easiest to find out. We do 18 minus 14, which gives us 4. We then do 0 minus 2, giving us negative 2. 4 over negative 2 is negative 2, which is our slope. We try to match this with one of our answers, and C gives us an exact replica. C is the correct answer.