Answer:
Step-by-step explanation:
I used x instead of ()
The initial function is:
● x = 1
The function after the changes is
● (1/2)x + 7
The function was shifted 15 unit to the left
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Y=2x or y=x+2 If you plug in the ordered pairs for both, they fit.
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
Answer:
11,12
Step-by-step explanation:
when calculated, the square root is 11.7473401245, which is between the two integers, 11 and 12!
Hope this helps!
