Answer:
y=mx+b is the slop formula find the two points on the line or use desmos
Step-by-step explanation:
One solution means that x will only equal one number.
Many solutions means that no matter what number you replace x with, the equation will still be true.
No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.
One solution: x - 2 = 12
Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:
x - 2 (+2) = 12 (+2)
x = 12 + 2
x = 14
Many solution: x + 3 = 3 + x
Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:
If x = 1:
1 + 3 = 3 + 1
4 = 4
If x = 2:
2 + 3 = 3 + 2
5 = 5
etc.
No solution: x - 1 = x + 5
Check: No matter what number you plug in for x, both sides of the equation will not match. Check:
If x = 1:
1 - 1 = 1 + 5
0 ≠ 6
If x = 2:
1 - 2 = 2 + 5
-1 ≠ 7
etc.
~
Answer:
Step-by-step explanation:
<u>Goal</u>
- Find the equation of the line.
<u>Given</u>
- Coordinate points which are (4,3) and (6,2).
<u>Step</u><u> </u><u>1</u>
- Find the slope by using slope formula or rise over run.
Substitute the coordinate points in
<u>Step</u><u> </u><u>2</u>
- Rewrite the equation in slope-intercept form by substituting m = -0.5
Substitute m = -0.5
<u>Step</u><u> </u><u>3</u>
- Find the value of b by substituting any given coordinate points in the equation.
<em>Substituting</em><em> </em><em>both</em><em> </em><em>coordinate</em><em> </em><em>points</em><em> </em><em>still</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>answer</em><em>.</em><em> </em>
<u>Step</u><u> </u><u>3.</u><u>1</u>
- Substitute (4,3) in the equation.
<u>Step</u><u> </u><u>3</u><u>.</u><u>2</u>
- Substitute (6,2) in the equation.
<u>Step</u><u> </u><u>4</u>
- Rewrite the equation again by substituting the value of b.
Substitute b = 5 in the equation.
Hence, the equation is y = -0.5x + 5
Hey there!
1^4 + 3(10 - 2)^2
1^4
= 1 * 1 * 1 * 1
= 1 * 1
= 1
1 + 3(10 - 2)^2
= 1 + 3(8)^2
= 1 + 3(8^2)
= 1 + 3(8 * 8)
= 1 + 3(64)
= 1 + 64 + 64 + 64
= 1 + 128 + 64
= 1 + 192
= 193
Therefore, your answer is: 193
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
X^2-4x-17 is the same as 1x^2 + (-4)x + (-17)
It is in the form y = ax^2 + bx + c where
a = 1
b = -4
c = -17
To find the value of h, we use this formula
h = -b/(2a)
h = -(-4)/(2*(1))
h = 4/2
h = 2
Plug this back into the original function to find k
k = x^2-4x-17
k = (2)^2-4(2)-17
k = 4-8-17
k = -4-17
k = -21
So we know that a = 1, h = 2 and k = -21 making
y = a(x-h)^2 + k
turn into
y = 1(x-2)^2 - 21
which is now in vertex form. The vertex is (h,k) = (2,-21)
