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2 years ago

2. Consider the following graph of a quadratic function.

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

Domain is all real numbers.

Range is -3 to infinity that is y >= -3 (that is y -3)

Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4

Decreasing from x <-4 (that is -infinity to -4) that is to left of -4

This has a minima at x= -4 with y= -3. We can write as (-4, -3)

Maxima is not there as it is going to infinity

Step-by-step explanation:

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Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Trava [24]

Answer:

Step-by-step explanation:

We are given:

$\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}$

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

$o=\sqrt{13^2-12^2}=\sqrt{25}=5$

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

$\displaystyle \csc(\theta)=\frac{13}{5}$

Since θ is in QIII, cosecant must be negative:

$\displaystyle \csc(\theta)=-\frac{13}{5}$

Our answer is A.

7 0

2 years ago

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Marsha Green makes $9.19 per hour. Find her social security tax at the rate of 7.65% for a 40-hour work week.

ira [324]

Answer:

$28.12

Step-by-step explanation:

$9.19 x 40 = $367.60 x 7.65% = $28.12

5 0

3 years ago

PLZ ANSWER ASAP!!!

ruslelena [56]

One because if you look at the graph you go to 3 and there is only one.

4 0

2 years ago

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Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.

forsale [732]

X - 3 < 9 or x + 5 ≥ 10
+ 3 + 3 - 5 - 5
x < 12 or x ≥ 5

Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)

8 0

2 years ago

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Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mix

irga5000 [103]

3y = 2x + 6
x + y = 7

y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x

x + y = 7
3 + y = 7
y = 7 - 3
y = 4

Solution is (3,4)

6 0

2 years ago

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