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natta225 [31]
3 years ago
6

Solve the following system by graphing and identify the point of intersection 5x+3y=-15 , 2x-y=-6

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

matway hel you 1+1+212FE

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Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is alread
BARSIC [14]

Answer:

The word per indicates the slope (m) of a linear function, y=mx +b.Using d for x and p for y , the equation representing Ashely's reading is p = 10d. Carly begins on page  40 which represents b, the y intercept of a linear function which indicates an initial amount.  So the equation representing Carly's reading is p=8d + 40.

3 0
3 years ago
Read 2 more answers
PRECAL <br><br>Find the compliment of 0.25<br><br>Find the supplement of 7π/8
balandron [24]
The unit of measurement is not specified, so for the sake of this problem, we'll assume it's radians (If you need it in degrees, I'll be happy to edit).

Find the compliment of 0.25:

Complementary angles add up to 90 degrees. In radians, this would be π/2. If you're unsure how I got this, check degrees to radian conversions.

The compliment of 0.25 would be \dfrac{\pi}{2} - \dfrac{1}{4} (1/4=0.25)

\dfrac{\pi}{2} - \dfrac{1}{4}

= \dfrac{\pi}{2} - \dfrac{1}{4} = \dfrac{2\pi-1}{4}

(This is the simplified form in case you're homework needs it in this form)

That's the compliment. In decimal (rounded to the nearest hundredth), this would be 1.32 radians.

Find the supplement of 7π/8:

Supplementary angles add up to 180 degrees. In radians, this would be π.

The supplement would be the following:

\pi- \dfrac{7\pi}{8}

=\dfrac{8\pi}{8}-\dfrac{7\pi}{8}=\dfrac{\pi}{8}

Thus, the supplement is π/8 radians. If any of this struck you as confusing, comment and I'd be happy to clarify.
8 0
4 years ago
Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}

Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}

To obtain the required form, extract a factor in both the numerator and denominator:

\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)

3 0
4 years ago
Please help this is due today.
jok3333 [9.3K]
Ummmm I’m not sureeeeeeeee
3 0
3 years ago
Sally buys a bracelet for $60 and pays 7% sales tax. What is the total amount Sally pays, including tax, for the bracelet?
Vladimir79 [104]

Answer:

$64.2

Step-by-step explanation:

After 7% tax, she pays 100+7 = 107% of the cost

107/100 × 60

64.2

5 0
3 years ago
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