Answer:
x = -7 1/2
y = - 5/2
z = 11
Step-by-step explanation:
x— 3y+z= 6 (1)
2x — бу – 2 = -2 (2) <=> 2x - 6y = -2 + 2 = 0 <=> (2x - 6y)/2 = 0 <=> x - 3y = 0 (4)
—x+y+ 2 = 7 (3) <=> -x + y = 7 - 2 <=> x - y = -5 (5)
Subtract (5) from (4), we have:
(x - 3y) - (x - y ) = 0 - (-5)
<=> x - 3y - x + y = 5
<=> -2y = 5
<=> y = - 5/2
Replace y with (4), we have x = 3 × (-5/2) = -15/2 (or -7 1/2)
Replace x with -15/2 and y with -5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11
Answer:
5, 7, 11, 19, 35
Step-by-step explanation:
Using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7
a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11
a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19
a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35
Thus the first 5 terms are
5, 7, 11, 19, 35
Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...
... D) {15, 3, 0}
_____
Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."
... f(x) = (x -4)x +3
Then the evaluation looks like (for x=-2) ...
... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15
This is sufficient to identify D as the answer of choice.
Answer:-9
Step-by-step explanation:
71-62=9
62-53=9
53-44=9
It is negative because the numbers are decreasing
We know that
points are
x intercept
A (4,0)
y intercept
B (0,11)
step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4
with m and the point B (0,11)
y-y1=m*(x-x1)
y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11
the answer is
<span>the formula of the function is
</span>y=-(11/4)x+11
see the attached figure