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Darya [45]
3 years ago
6

Inequality word problem 7 less than -2 times a number X is greater than or equal to 41

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
Less than means minus so 7 less than means -7

-2 times a number x means -2 times x or -2x

is greater than or equal to means <u>></u>

41=41


so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96 
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-144 is -1 x 2a x 3b what is the sum of a+b?
BigorU [14]
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Answer:
This question is tricky because it could have multiple answers: for example is a,b= 6,4 then a+b= 10, but if a,b=24+1=25. So, the answer is that the sum of a+b varies depending on which 2 factors of 24 a and b are equal to. Does this make sense?
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3 years ago
Write the following as a single sine or cosine function of an angle
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Step-by-step explanation:

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8 0
3 years ago
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Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
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Solve the system by substitution.<br> y = -7x. y = -5x + 10​
ohaa [14]

Answer: (-5,35)

Step-by-step explanation:

-7x=-5x+10

Get x on one side by adding 5x

-2x=10

Simplify by dividing by -2

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Y=-7(-5)

Simplify

Y=35

5 0
3 years ago
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