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lesya692 [45]
3 years ago
10

2(2t+4)=34(24−8t) solve for t

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0
2(2t + 4) = 34(24 − 8t)
4t + 8 = 816 - 272t
4t + 272t = 816 - 8
276t = 808
t = 808/276
= 2.93 (to three significant figures)

The value of t is 2.93.
galben [10]3 years ago
4 0

Answer:

t=\frac{202}{69}

Step-by-step explanation:

2(2t+4)=34(24-8t)

Solve the equation for t

Distribute the number inside the parenthesis

2(2t+4)=34(24-8t)

4t+8=816-272t

Add 272t on both sides

276t+8=816

Subtract 8 on both sides

276t=808

Divide both sides by 276

t=\frac{202}{69}

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Determine the intercepts of the line. y=−2x−21
yuradex [85]
Hi there!

Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.

y = - 2x - 21 \\ y = 0 \\ \\ - 2x - 21 = 0
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Divide both sides by -2.

x = \frac{21}{2} = 10 \frac{1}{2}
Therefore, the x-intercept is the point (10 1/2; 0).

--------------------------------------
Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.

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4 0
3 years ago
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3 years ago
What is the value of A when we rewrite (1/8)^x + (1/8)^x-2 as A x (1/8)^x
givi [52]

Answer:

-63

Step-by-step explanation:

Given the expression:

(1/8)^x + (1/8)^{x-2}

Using the law of indices, this can be written as:

(\frac{1}{8})^x-(\frac{1}{8} )^x * (\frac{1}{8})^{-2}\\(\frac{1}{8})^x (1-(\frac{1}{8})^{-2})\\(\frac{1}{8})^x(1-8^2)\\(\frac{1}{8})^x(-63)\\-63(\frac{1}{8})^x\\

This shows that the value of A is -63

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3 years ago
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