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musickatia [10]
3 years ago
14

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.​

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

work shown and pictured

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Simplify 6^7/6^5 in index form
Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } ⇔ a^{(m-n)} , then

\frac{6^{7} }{6^{5} }

= 6^{(7-5)}

= 6²

6 0
3 years ago
Read 2 more answers
H(x) = -2x+5<br> g(x) = 2x² + x<br> Find (h+g)(1)
Westkost [7]

Are you evaluating functions for this? If so, here you go:

Given the functions to simplify (h + g)(1), the answer you seek would be 6 I believe.

Hope this helps!

4 0
2 years ago
What kind of problem is this?
strojnjashka [21]
4x - 7 < 17
    + 7   + 7
     4x < 24
      4      4
       x < 6

Solution Set: (6, ∞) and {x|x < 6}
8 0
3 years ago
Can anyone check this if it’s right.
Romashka [77]

Yes this is the right answer

6 0
3 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0
3 years ago
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