Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
$1.25f + $0.75f
Step-by-step explanation:
The cost of one bagel is $1.25 and cream cheese costs $0.75 per person. The total amount Jack and Jenn will spend on breakfast depends on the number of friends that eat breakfast.
to get the total amount spent on breakfast, multiply the cost of bagel by the number of friends and the cost of cream cheese by the number of friends. Add these numbers
The total amount spent on food = $1.25f + $0.75f
Using the linear equation, T = 20x + 31, the total number of computers at the end of 2005 is: C. 191.
<h3>How to Use a Linear Equation?</h3>
A linear equation is expressed as y = mx + b, where x is a function of y, m is the rate of change and b is the y-intercept or starting value.
In the scenario stated, we are given the linear equation for total number of laptop computers at the school after 1997 as, T = 20x + 31.
Rate of change = 20
y-intercept/starting value = 31
x = 2005 - 1997 = 8
To find the total number of laptop computers at Grove High School at the end of 2005 (T), substitute x = 8 into the equation, T = 20x + 31.
T = 20(8) + 31
T = 160 + 31
T = 191 computers.
Thus, total number of computers at the end of 2005 is: C. 191.
Learn more about linear equation on:
brainly.com/question/15602982
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The answer itss b= 41.5 units
Answer:
the Prime Factors of 12 are: 2, 2, 3.
Step-by-step explanation:
Therefore 12 = 2 X 2 X 3.
