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3 years ago

Which of the following is the graph of y ≤-1/2x-3

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

5 0

I think First one!!!!!!!

Novosadov [1.4K]3 years ago

4 0

Answer:

i would say the first one

Step-by-step explanation:

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The local museum had 20,000 visitors in 1990. The number of visitors has decreased by 3% each year since 1990. Enter a function

Volgvan

Answer:

m(x) = 20000(0.97)^x

Step-by-step explanation:

Given that :

Initial population, population in 1990, P = 20,000

Rate, r = 3% = 0.03

Number of visitors to the museum x years after 1990

Since population decreases, Decay formula

m(x) = Initial population * (1 - r)^x

m(x) = 20000(1 - 0.03)^x

m(x) = 20000(0.97)^x

8 0

3 years ago

The help desk is keeping track of the number of minutes the average caller spends on hold.

Lunna [17]

Answer: week 4 to week 6

7 0

3 years ago

Can someone plz help me with #4-8, I don't understand that much I already finished #1-3

professor190 [17]

4. y=-2x-2
5. y=2x-1
6. y=2x-4
7. y=-x
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4 0

3 years ago

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f + g)(x).

Nitella [24]

Answer:

B: 5x + 3

Step-by-step explanation:

(f+g) (x) = f(x) + g(x) = (2x -6 ) + (3x + 9) = 5x + 3

3 0

4 years ago

Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give

neonofarm [45]

Answer:

Equation of tangent:

$y = xe^{x}$

At point (1,0):

y = 2.713

Step-by-step explanation:

The equation of tangent line to the function can be calculated by taking the first derivative.

We have,

$y = xe^{x}-e^{x}\\\frac{dy}{dx}=\frac{d}{dx}[ xe^{x} ]-\frac{d}{dx} [e^{x}]\\$

Applying Product Rule:

d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)

Therefore,

$\frac{dy}{dx}=\frac{d}{dx}(x) . e^{x}+x .\frac{d}{dx}(e^{x})- \frac{d}{dx}(e^{x})\\\\\frac{dy}{dx}=(1)(e^{x})+(x)(e^{x})-e^{x}\\ \frac{dy}{dx}=xe^{x}\\\\$

The above equation is the equation of tangent line.

The point given is (1,0):

So,

$\frac{dy}{dx} = (1)e^{1}\\ \frac{dy}{dx} = e\\\frac{dy}{dx} = 2.713$

3 0

3 years ago