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2 years ago

18 Graph the solution set for the inequality 4x – 3y > 9

Mathematics

1 answer:

Naddik [55]2 years ago

4 0

Answer:

I think it's (-13,0)

Step-by-step explanation:

4x - 3y > 9

3y - 9 =x

y=-13

(-13,0)

Plz forgive me if i did that wrong I did try lol

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How do I verify this identity? I know you should write sin2a as sin(a+a).

Kisachek [45]

SOLUTION

Given the question in the image, the following are the solution steps to verify the identity

STEP 1: Write the given identity

$\sin 2\alpha=2\sin \alpha\cos \alpha$

STEP 2: Verify the identity

$\begin{gathered} \sin 2\alpha=2\sin \alpha\cos \alpha \\ \text{Consider the left hand side of the above trigonometry identity.} \\ \text{That is, }\sin 2\alpha\text{.} \\ \text{ Rewrite }\sin 2\alpha\text{ as }\sin (\alpha+a) \\ \text{ It is known that }\sin (a+b)=\sin (a)\cos b+\cos (a)\sin (b) \\ U\sin g\text{ this statement above, we have;} \\ \sin (\alpha+a)=\sin a\cos \alpha+\cos a\sin \alpha \\ \text{It is known that }xy+yx=xy+xy=2\times xy=2xy \\ U\sin g\text{ this statement above, we have;} \\ \sin a\cos \alpha+\cos a\sin \alpha=\sin a\cos \alpha+\sin \alpha\cos \alpha=2\times\sin \alpha\cos \alpha=2\sin \alpha\cos \alpha \\ \text{Hence, }\sin 2\alpha=2\sin \alpha\cos \alpha \end{gathered}$

The verification of the identity is as seen above.

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7 months ago

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing the boxes at twice the r

Daniel [21]

Answer:

A - 4.5<t<24

Step-by-step explanation:

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2 years ago

Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx

Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

$x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49$

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

$x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7$

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2 years ago

A jacket usually sells for $69.00. If the jacket is 30% off, and sales tax is 8%, what is the total price of the jacket, includi

Ivan

$52.16
30% of 69 is 20.7.
69-20.7= $43.30
8% of 43.3 is 3.864.
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round down due to the 4.
$52.16

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3 years ago

Work out the mean for the data set below: 6, 4

aliina [53]

Answer:

Step-by-step explanation:

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3 years ago