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bixtya [17]
2 years ago
15

Solve. 10x^2 - 6 = 9x

Mathematics
1 answer:
grin007 [14]2 years ago
7 0

Answer:

B

Step-by-step explanation:

use quadratic formula:  (-b ±√b²-4ac) ÷ 2a

a = 10,  b = -9,  c = -6

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Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt
polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt

=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k

The first integral is trivial since (\tan t)'=\sec^2t.

The second can be done by substituting u=t^2-1:

u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C

The third can be found by integrating by parts:

u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t

\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8

\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C

8 0
3 years ago
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h
algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0
2 years ago
Today everything at a store is on sale The store offers a 20% discount The regular price of a tshirt is 18$ what is the discount
kirill [66]
The discounted price is $14.40. Hope this helped.
6 0
3 years ago
Subtract. –5.8 – (–8.4) A. –14.2 B. –2.6 C. 2.6 D. 14.2
svp [43]
-5.8 - (-8.4)

When we multiply two negatives they become a positive. In this situation, where there is no other number, you can assume there's basically a 1 in that place. 

-5.8 - 1(-8.4) would be just as correct. (If this helps visually clarify anything.)

So we take that -1 and multiply it by that -8.4. Multiplying 1 against anything leaves it the same, so we just need to change the sign. Two negatives make a positive. 

-5.8 + 8.4

Now we add these together.

This gives us our final answer of 2.6
6 0
3 years ago
Read 2 more answers
Simplify each expression using Product to a Power Property a. (9a)^2 b. ( 3x)^2
antiseptic1488 [7]
\begin{gathered} a)81a^2 \\ b)9x^2 \end{gathered}

1) Let's simplify those expressions making use of exponents rules:

(9a)^2=81a^2

Note that the exponent outside the parenthesis is 'distributed' over each term inside.

2) Similarly for the second expression we can state that:

(3x)^2=9x^2

8 0
1 year ago
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