The answer to whether an equation can be true or false is; Yes
<h3>Equations</h3>
Yes an equation can be true or false. This is because for example if we have the equation;
3x + 5 < 12
For this equation to hold true, only certain values of x can be possible which we will call as possible solutions. Whereas any values outside of the possible range of x will make the equation to be false.
Read more on equations at; brainly.com/question/2972832
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
Answer:
n=1
Step-by-step explanation:
distribute
-6 times -8n is =48n
-6 times 6 =-36
8 times -4 = -32
8 times n =8n
rewrite equation
48n-36+-32+8n=-12
48n+8n-36-32=-12
56n-68=-12
add 68 on both sides
=56
56n=56
n= 1
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Answer:
Step-by-step explanation:
The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as;
M(X,Y) = {(x1+x2)/2, (y1+y2)/2}
Given the points A(h, k) and B(h,j)
x1 = h, y1 = k, x2 = h, y2 = j
Substitute into the formula;
M(X,Y) = {(x1+x2)/2, (y1+y2)/2}
M(X,Y) = {(h+h/2, (k+j)/2}
M(X,Y) = {(2h)/2, (k+j)/2}
M(X,Y) = {h, k+j/2}
hence the coordinates of point M is {h, k+j/2}
