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ella [17]
4 years ago
13

Which system of inequalities is shown in the graph?

Mathematics
2 answers:
aliina [53]4 years ago
6 0

Answer:

C

Step-by-step explanation:

artcher [175]4 years ago
5 0

Answer:

D

Step-by-step explanation:

The linear inequality has the same properties of its equation as slope intercept does. This means y\leq mx+b where m is the slope and b is the y-intercept. The y-intercept here is 1 and it has a positive slope of 1. Then test a point to determine in the shaded region to determine the sign.

(0,0) --->0\leq 1(0)+1 --->0\leq 1  is true so (0,0) is in the shaded portion. This means C or D are options.

The quadratic inequality has the same properties as a quadratic equation. Since we have only two options now, let's test the point (1,0) in each.

(1,0)

y\geq x^{2} -3x\\0\geq (1)^2-3(1)\\0\geq 1-3\\0\geq -2\\true

D is the solution



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Can a regular polygon have an interior angles of 169?​
baherus [9]

Answer:

No.

Step-by-step explanation:

If it is a regular polygon then the sum of its exterior angles add up to 360 degrees. The number of sides in such a polygon  = 360 / exterior angle.

Here each exterior angle = 180-169 = 11 degrees,

Now 11 is not a factor of 360 and if we try to find the number of sides we don't get a whole number, so the answer is NO.

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What is the median?
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If a factory can produce 850 teddy bears in 2 days, how many teddy bears will it produce in 3 days?
spayn [35]

Answer:

Step-by-step explanation:

I believe if you multiply 850×2= 1700.

Multiply 850×3..

That would equal to 2550.

8 0
3 years ago
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Vladimir [108]
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Solve 2 sin 20 - tan 20 = 0 for 0 in [0°, 360°). <br><br> Any help would be really appreciated!
andre [41]

Answer:

Step-by-step explanation:

If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"

Never use 0 as a substitute for θ! 0 is a constant with a specific value.

Since the argument of the trig functions is an expression, you should put parentheses around it:  sin(2A).

:::::

I used several trigonometric identities for this question:

Double-angle formula for sine: sin(2θ) = 2sinθcosθ

Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)

Quotient identity: tanθ = sinθ/cosθ 

Reciprocal identity: secθ = 1/cosθ

Pythagorean identity: 1+tan²θ = sec²θ

2sin(2θ) - tan(2θ) = 0

2sin(2θ) = tan(2θ)

2·2sinθcosθ = 2tanθ/(1-tan²θ)

2sinθcosθ = tanθ/(1-tan²θ)

2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))

2(1-tan²θ) = 1/cos²θ

2(1-tan²θ) = sec²θ

2-2tan²θ) = 1+tan²θ

1 = 3tan²θ

tan²θ = ⅓

tanθ = ±1/√3

θ = 30°, 330°

3 0
3 years ago
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