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9966 [12]
3 years ago
5

Plss view the image :((((((((((

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

f(x) = -8

Step-by-step explanation:

f(x) = x² + 2x – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = 4 + (-4) – 8

f(x) = 4 – 4 – 8

f(x) = 0 – 8

f(x) = -8

I hope this helps

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How to find maximum and minimum values of a parabola
Arturiano [62]

Answer:

Step-by-step explanation:

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

4 0
2 years ago
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount tha
Lisa [10]
Answer:

Step-by-step explanation:
Interest formula -
I = P × R × T
I = 3,280 × 0.3% × 9
What I basically did there wws multiply the amount of money, the simple interest, and the time.
Turn 0.3% into a decimal by dividing by a 100 which should give you 0.003

I = 3,280 × 0.003 × 9

Put that into a calculator, you get $88.56

Now, that's just the interest amount. Now you add it back to 3,280 to get the *total* amount.

3,280 + 88.56 = 3,368.56

Cathy ends us paying $3,368.56

Hope what I said made sense.
5 0
2 years ago
A point located at (4, 7) is translated up 5 units. What are the coordinates of the image?
Fantom [35]
Can u make a graaph showing this
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3 years ago
Please answer my question
Brrunno [24]

ANSWER:

It is letter B. because plus the 7 and 2= 9 and we cant see a whole number so it dosent have 1 so I am very sure about my answer

3 0
3 years ago
The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

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or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

____________

(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

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5 0
3 years ago
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