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3 years ago

Suppose f(x) = 6x^2 + 2x − 7 and g(x) = 4x − 3. Find each of the following functions.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

Step-by-step explanation:

(f+g)(x) ➡ f(x) + g(x) ➡ 6x^2 + 2x -7 + 4x - 3 =6x^2 + 6x - 10

(f-g)(x) ➡ f(x) - g(x) ➡ 6x^2 + 2x - 7 -4x + 3 = 6x^2 -2x -4

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Max built a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the ground is 21 . What is the length of

natali 33 [55]

Answer:

41.68 or 42 (rounded)

Step-by-step explanation:

Presuming you are working on right triangles, you can use the Soh Cah Toa theorems.

Because angle A = 21 and side a = 16 you can use Toa or $A=\frac{a}{x}$

$21=\frac{16}{x}$

Plugged into a calculator, you get 41.68 and some change.

If this is NOT a right triangle question, please let me know so that I can revise my answer.

6 0

3 years ago

Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a star

n200080 [17]

Answer:

x=25/16

Step-by-step explanation:

Approximate Roots of Functions:

We are required to find the root of

$\displaystyle 5^{-x}+7=\ 2x+4$

Let's construct a function

$\displaystyle f(x)=\ 5^{-x}+7-2x-4$

Reducing:

$\displaystyle f(x)= 5^{-x}-2x+3$

The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)

$\displaystyle f(1.5)=5^{-1.5}-2(1.5)+3\ =0.089$

We'll move up on x=1.52

$\displaystyle f(1.52)=5^{-1.52}-2(1.52)+3=\ 0.046$

We are closer to the solution, let's try some more up

$\displaystyle f(1.54)=5^{-1.54}-2(1.54)+3=\ 0.0038$

This value x=1.54 is close enough to the solution of the original equation

From the options given, $\frac{25}{16}$ is the closest to our solution

$\boxed{Answer:\ x=25/16}$

8 0

4 years ago

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

frez [133]

Answer:

Radius = $\sqrt{42}$

Step-by-step explanation:

3 0

3 years ago

Your answer What is the greatest common factor of 12 and 24? Your answer 6

anastassius [24]

Answer:

yes it is 6

Step-by-step explanation:

Both are even numbers and caan be divided by 6 win 24 is divided by two I equals 12.

8 0

3 years ago

The family size bottle of sunscreen holds 12121212 fluid ounces (fl oz)(\text{fl oz})(fl oz)(, start text, f, l, space, o, z, en

Musya8 [376]

Answer:

The regular bottle holds 9 fl oz less

Step-by-step explanation:

Given

Family Size = 12 fl oz

Required

Determine the size held less by the regular bottle

From the question, we have that the regular bottle holds 75% less;

$Regular\ Size = 75\% * Family\ Size$

Substitute 12 fl oz for Family Size

$Regular\ Size =75\% * 12\ fl\ oz$

Convert percentage to fraction

$Regular\ Size = \frac{75}{100} * 12\ fl \oz$

$Regular\ Size = \frac{75 * 12\ fl\ oz}{100}$

$Regular\ Size = \frac{900\ fl\ oz}{100}$

$Regular\ Size = 9\ fl\ oz$

Hence, the regular bottle holds 9 fl oz less

5 0

3 years ago