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2 years ago

If f(x)=x+3 and g(x)=2x^2 find (f+g)(x) and (f+g)(3)

Mathematics

1 answer:

Levart [38]2 years ago

8 0

Answer:

Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have to do the operations with the functions, but I also have to ...

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2. Mourette is a member of her high school golf team. She hits a golf ball

Llana [10]

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

h = 60 (6.1) − 4.9 (6.1)²

h = 183.7 meters

7 0

3 years ago

1) The minimum thickness of Saturns A ring is one-tenth kilometer. Write this decimal using a negative exponent.

yulyashka [42]

Answer:

1) $10^{-1}$

2) $2^{-2}$

3) $12^{-2}$

Step-by-step explanation:

Using negative exponent rule:

1) one -tenth of kilometer =.1 = $\frac{1}{10}=10^{-1}$

Using negative exponent rule:

2) $\frac{1}{4} =\frac{1}{2^{2} }=2^{-2}$

Using negative exponent rule:

3) $\frac{1}{144} =\frac{1}{12^{2} }= 12^{-2}$

5 0

2 years ago

What is the value of y when -5=y-7/9

Archy [21]

Answer:

-4 2/9

Step-by-step explanation:

7/9 + (-5) = -4 2/9

Hope this helps

-Amelia

8 0

3 years ago

Triangle and polygon practice, help please!! Even just with one of them!

deff fn [24]

Step-by-step explanation:

For question no. 3

Since we are aware that measure of the sum of all the three interior angles of a triangle is 180°.

$135 \degree + 25\degree +( 2x + 2)\degree = 180 \degree \\ \\ \therefore \: 2x\degree = 180 \degree - 152 \degree \\ \\ \therefore \: 2x\degree = 28 \degree \\ \\ \therefore \: x\degree = \frac{28 \degree}{2} \\ \\ \therefore \: x = 14$

8 0

2 years ago

Alexis exercises 75 minutes a day. She does weight training, which burns an average of 7.5 calories per minute. Write a polynomi

Natali [406]

7.5 multipled by 75 is 562.5 cal. per day

7 0

2 years ago

If f(x)=x+3 and g(x)=2x^2 find (f+g)(x) and (f+g)(3)​

If f(x)=x+3 and g(x)=2x^2 find (f+g)(x) and (f+g)(3)