Answer: x = 3
Step-by-step explanation:
2(7x - 6) = 30
14x - 12 = 30
+ 12 +12
14x = 42
/14 /14
x = 3
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
y=4
Step-by-step explanation:
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⠀
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Answer:
• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5
→ <u>for</u><u> </u><u>|</u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>|</u><u> </u><u>></u><u> </u><u>6</u><u>:</u>
→ <u>for</u><u> </u><u>|</u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>|</u><u> </u><u>></u><u> </u><u>-</u><u>4</u><u>:</u>
Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
