Answer:
She will score 40 points in 30 minutes.
Step-by-step explanation:
30 minutes divided by 6 minutes is 5, times 8 points is 40 points.
Answer:
![\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%265%5C%5C1%261%261%5C%5C4%266%265%5Cend%7Barray%7D%5Cright%5D%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx1%5C%5Cx2%5C%5Cx3%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C6%5C%5C7%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Let's find the answer.
Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.
Equations:
Eq. 1 : x1 + 2x2 + 5x3 = 5
Eq. 2 : x1 + x2 + x3 = 6
E1. 3 : 4x1 + 6x2 + 5x3 = 7
Coefficients for x1 ; x2 ; x3
From eq. 1 : 1 ; 2 ; 5
From eq. 2 : 1 ; 1 ; 1
From eq. 3 : 4 ; 6 ; 5
So matrix A is:
![\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%265%5C%5C1%261%261%5C%5C4%266%265%5Cend%7Barray%7D%5Cright%5D)
And the vector of vriables (X) is:
![\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx1%5C%5Cx2%5C%5Cx3%5Cend%7Barray%7D%5Cright%5D)
Now we can find the resulting vector (B) using the 'resulting values' from each equation:
![\left[\begin{array}{ccc}5\\6\\7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C6%5C%5C7%5Cend%7Barray%7D%5Cright%5D)
In conclusion, AX=B is:
Отвечать:
440 км
Пошаговое объяснение:
Учитывая, что :
Пройденное расстояние за 27/7 часов = 220 км
Расстояние, которое необходимо преодолеть за 54/7 часов, составит x
Следовательно, мы можем настроить перекрестное умножение:
27/7 = 220
54/7 = х
Крест умножить
27/7 х = 220 * 54/7
27x / 7 = 11880/7
3.8571428x = 1697.1428
х = 1697,1428 / 3,8571428
х = 439,99999
x = 440 км
Таким образом, за 54/7 часов будет преодолено расстояние 440 км.
Answer:
45x
Step-by-step explanation:
Just expand and coolect to get 9x5=45 and add x
Answer:
y= -2x + 11
Step-by-step explanation:
standard form for lines is y=mx+b
m is the slope and b is the y intercept
we already know that m is -2, so we just need to figure out the intercept.
the point given is (7,-3)
points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y
-3 = -2 (7) + b
-3 = -14 + b
11 = b
so the equation is y=-2x+11
