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maw [93]
3 years ago
15

If sin pheta < 0 and tan pheta < 0 then:​

Mathematics
1 answer:
maria [59]3 years ago
5 0

sin(θ) < 0 is another way to say sin(θ) is negative.

tan(θ) < 0 is another way to say tan(θ) is negative.

let's recall that, on the III Quadrant sine and cosine are both negative, and thus the tangent is positive, recall tan(θ)=sin(θ)/cos(θ).

on the IV Quadrant however, sine is negative and cosine is positive, thus tangent is negative.

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Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.
Tema [17]

We are given the functions:

f(x) = 4 x – 5                       ---> 1

g(x) = 3 x + 7                       ---> 2

 

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

 

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

5 0
3 years ago
Eduardo has 24$ saved . if he saves 8$ each week how much money will he in 5 weeks .
lyudmila [28]

Answer:

is you are not adding in the 24 then 40 if you are adding in the 24 then 64

Step-by-step explanation:

8 0
3 years ago
(4 + 7w2)
ivanzaharov [21]
Answer: 18w^2 - 6w + 4

Explanation:

(4 + 7w^2) - (6w - 11w^2)
= 4 + 7w^2 - 6w + 11w^2
= 18w^2 - 6w + 4
5 0
3 years ago
H(x)=1/8x^3-x^2<br><br> Over which interval does h have a positive average rate of change?
lara31 [8.8K]

Answer:

(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}

Step-by-step explanation:

h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \  respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x

For positive rate of change h'(x)>0

\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\

6 0
3 years ago
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
guapka [62]

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

5 0
3 years ago
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