I need help with finding slopes from two points thank you

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

i do believe the answer is 6/7

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Spencer plants a 7-inch tomato plant in his garden. The plant grows by about 15% per week for several months. Which formula repr

Mnenie [13.5K]

Answer:

$h(t) = 7(1.15)^{t}$

Step-by-step explanation:

The equation for the plant's height after t weeks has the following format:

$h(t) = h(0)(1+r)^{t}$

In which h(0) is the initial height and r is the rate it increases per week, as a decimal.

Spencer plants a 7-inch tomato plant in his garden.

This means that $h(0) = 7$

The plant grows by about 15% per week for several months.

This means that $r = 0.15$ . So

$h(t) = h(0)(1+r)^{t}$

$h(t) = 7(1+0.15)^{t}$

$h(t) = 7(1.15)^{t}$

4 0

3 years ago

g is a trigonometric function of the form g(x) = a sin(bx + c) + d. Below is the graph g(x). The function intersects its midline

GalinKa [24]

Answer:

$g(x)=4sin(2x+\frac{\pi}{2})+3$

Step-by-step explanation:

Because the function intersects its midline at $(\frac{3\pi}{4},3)$ , then the midline is $d=3$ .

Additionally, the amplitude is just the positive distance between the maximum/minimum and the midline, so the amplitude is $a=7-3=4$ .

Also, given that period is $\frac{2\pi}{b}$ and the fact that the period is $\pi-0=\pi$ from our given maximum, we have the equation $\frac{2\pi}{b}=\pi$ where $b=2$ .

Lastly, to find $c$ , we know that the phase shift, $-\frac{c}{b}$ , is $-\frac{\pi}{4}$ (or $\frac{\pi}{4}$ to the left) since $\pi-\frac{3\pi}{4}=-\frac{\pi}{4}$ . Therefore, we have the equation $-\frac{c}{2}=-\frac{\pi}{4}$ where $c=\frac{\pi}{2}$ .