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Answer:
Step-by-step explanation:
Let the number of computers sold by Joe be represented by variable X
If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X
Total number of computers sold by both Jonathan and Joe = 78
Hence, X+5X =78
= 6X = 78
Divide both sides by 6 to solve for X;
X = 78/6
X = 13
And 5X = (5* 13) = 65
Therefore, Jonathan sold 65 computers while Joe sold 13
Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)
Answer:
The vertex form parabola y = 2( x+4)² -37
Step-by-step explanation:
<u>Step(i):-</u>
Given parabola equation j(x) = 2x² + 8x -5
Let y = 2x² + 8x -5
⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5
By using (a + b)² = a² +2ab +b²
y = 2(x+4)²- 32 -5
y = 2 ( x-(-4))² -37
<u><em>Step(ii):-</em></u>
The vertex form parabola y = a( x-h)² +k
The vertex form parabola y = 2(x+4)² -37
The 20th term is -106
15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60
-60 + -46
-106
You're just subtracting by 6.
