Answer:
c) 4
Step-by-step explanation:
<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>
<u><em /></u>
To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
Answer:
-31
Step-by-step explanation:
g(x) = -3x - 1
g(10) = -3(10) - 1
g(10) = -30 - 1
g(10) = -31
Answer:
x = 0.6623
y = 8
Image is attached for refernce of my solution
Step-by-step explanation:
In Δ DEF
By applying pythagoras theoram,
DE = 
=
∴ DE = 8
In Δ ABC
BC = y = 12 sin 30° = 6
AC =
+ DE + x =
+ 8 + x = 12 cos 30°
⇒ 9.73 + x = 10.39
<h3>⇒ x = 0.6623</h3>
It would take 3 pieces to make 2 1/3 because 2 and 1/3 is more than just 2 alone which would take another piece to get it to 2 1/3