If f(x) = 2x + 1, find f(1).

1+1 PLEASE PLEASE PLEASE LPEASE PLEASAE PLEASE

arlik [135]

Answer:

2

Step-by-step explanation:

1+1=2 so the answer is 2

5 0

2 years ago

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Claire jogs around an oval track and is able to complete one lap in 5 minutes. If she jogs at the same pace for 42 minutes, how

Maslowich

I would say about 8 whole laps

7 0

3 years ago

She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or

kap26 [50]

Answer: x = 40 and y = 40

Step-by-step explanation:

We can write the equation for the area as: x*y = 1600

We can write the equation for the perimeter as: 2x + 2y = 160

An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos

Graph both: y = 1600/x

and

y = 80 - x

Turns out you get x = 40 and y = 40

8 0

2 years ago

Find cos(2*ABC) 100POINTS

juin [17]

Answer:

$-\dfrac{7}{25}$

Step-by-step explanation:

Trigonometric Identities

$\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B$

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

$\cos(\angle ABC)=\dfrac{3}{5}$

$\sin(\angle ABC)=\dfrac{4}{5}$

Therefore, using the trig identities and ratios:

$\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}$

7 0

2 years ago

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Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ....

Alekssandra [29.7K]

Answer:

b(n) = -11 + (n-1)*8

Step-by-step explanation:

Let n be the sequence number, with n=1 the first number b(1) -11

The sequence changes by +8 each step.

b(1) -11 + 8 = -3

b(2) -3 + 8 = 5

b(3) 5 + 8 = 13

b(4) 13

b(1) = -11

b(2) = -3. or b(1) + 1*8

b(3) = 5, or b(1) + 2*8

b(4) = 13, or b(1) + 3*8

We note that each step adds a multiple of 8 to the initial value of -11. This can be stated as (n-1)*8

The formula for this sequence would be b(n) = b(1) + (n-1)*8

b(n) = -11 + (n-1)*8

Check: Does n=3 return the value of 5?

b(n) = -11 + (n-1)*8

b(3) = -11 + ((3)-1)*8

b(3) = -11 + (2)*8

b(3) = -11 + 16

b(3) = 5 YES

5 0

2 years ago