Answer:
Arithmetic sequence
for
Step-by-step explanation:
We are given that a sequence
We have to identify the sequence as arithmetic or geometric and write an explicit formula .
When the difference of consecutive terms is constant then the sequence is an arithmetic.
Hence, the sequence is an arithmetic.
for
IT'S meep 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y).................
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)....
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5......
Answer:
second option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
∠ 1 and 33° form a straight angle and are supplementary, thus
∠ 1 = 180° - 33° = 147°
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The third angle in the triangle on the left is
180° - (33 + 47)° = 180° - 80° = 100°, thus
∠ 2 = 180° - 100° = 80°
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∠ 2 and the angle in the triangle form a straight angle and are supplementary,
angle = 180° - 80° = 100°
The third angle in the triangle on the right is
180° - (100 + 48)° = 180° - 148° = 32°, thus
∠ 3 = 180° - 32° = 148° ( straight angle )
Thus
∠ 1 = 147°, ∠ 2 = 80°, ∠ 3 = 148°
Hey there!
3(q + 34)= 2
First distribute:
3(q) + 3(34)
3(q) = 3q
3(34) = 102
New equation: 3q + 102 = 2
Subtract by 102 on each of your sides:
3q + 102 - 102 = 2 - 102
Cancel out: 102 - 102 because it gives us 0
Keep: 2 - 102 because it helps us solve for our q
2 - 102 = - 100
New equation: 3q = -100
Divide both sides by 3
3q/3 = -100/3
Cancel out: -3q/3 because it gives us 1
Keep: -100/3 because it gives us the answer for q
Answer: q = -100/3 ✅
Good luck on your assignment and enjoy your day!
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