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3 years ago

What is the solution of 3a + 6 < 21

Mathematics

1 answer:

svlad2 [7]3 years ago

8 0

Answer:

a<5

Step-by-step explanation:

Let's solve your inequality step-by-step.

3a+6<21

Step 1: Subtract 6 from both sides.

3a+6−6<21−6

3a<15

Step 2: Divide both sides by 3.

a<5

Answer:

a<5

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Brut [27]

Answer:

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Step-by-step explanation:

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3 years ago

For a recent year, 38 more Democrats than Republicans represented a country. If the total number of representatives of the count

Fantom [35]

Second question isn't well formatted

Answer:

Number of republicans = 207

Number of democrats = 245

Step-by-step explanation:

Let :

Number of republicans = x

Number of democrats = x + 38

Total number of representatives from the two parties = 452

Tge number of representatives from each party can be calculated thus ;

Number of democrats + number of republicans = total number of representatives

(x + 38) + x = 452

x + 38 + x = 452

2x = 452 - 38

2x = 414

x = 414 / 2

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3 years ago

14 field goal attempts 12 goals made to what is the success rate

Illusion [34]

Answer:

86%

Step-by-step explanation:

Divide the number of goals made (12) by the number of attempts (14).

12/14 = .857. Round to the nearest hundredth and convert the decimal to a percent.

5 0

3 years ago

Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra

Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

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2 years ago

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8090 [49]

Domain = Set of all real numbers, which is choice B
Range = Choice C) $y \le 3$

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.

The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore $y \le 3$ where y is a real number

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3 years ago