Given sequence:
.
We need to find first four terms of the sequence.
We already given first term -3.
Let us find second term .
Plugging n=2.
Now taking n=3.
.
Now, n=4.
.
We got terms -3, 2, 7 and 12.
<h3>Therefore, correct option is B) –3, 2, 7, 12.</h3>
8x+16y = 39 and 40x+8y = 42 are the system of equations that represents in inches the relationship between the length of a blue tile and the length of a white tile.
<u>Step-by-step explanation</u>:
Let 'x' be the inches of a blue tile.
Let 'y' be the inches of a white tile.
8x+16y = 39 -------(1)
40x+8y = 42 -------(2)
Multiply eqn(2) by 2 and subtract it from eqn(1)
8x+16y = 39
(-) <u>80x+16y = 84</u>
<u>-72x = -45 </u>
⇒ x = -45/-72
⇒ x = 5/8
∴ Blue tile is 5/8 inches.
substitute x=5/8 in eqn(1)
⇒ 8(5/8) + 16y = 39
⇒ 16y = 39-5
⇒ y =34/16
⇒ y = 17/8
∴ White tile is 17/8 inches.
Answer:
a =
x =
Step-by-step explanation:
Let's solve for a.
8x−5x+4−x=ax+8
Step 1: Flip the equation.
ax+8=2x+4
Step 2: Add -8 to both sides.
ax+8+−8=2x+4+−8
ax=2x−4
Step 3: Divide both sides by x.
Let's solve for x.
8x−5x+4−x=ax+8
Step 1: Add -ax to both sides.
2x+4+−ax=ax+8+−ax
−ax+2x+4=8
Step 2: Add -4 to both sides.
−ax+2x+4+−4=8+−4
−ax+2x=4
Step 3: Factor out variable x.
x(−a+2)=4
Step 4: Divide both sides by -a+2.
Hope this helps!
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