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3 years ago

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

Answer:

x^3 - x^2 - 6x

Step-by-step explanation:

First, add f +g

x^2 + 1 + 5 -x (combine like terms)

x^2 - x +6

Next, multiply the new equation by x

x(x^2 - x + 6) Use distributive property

= x^3 - x^2 + 6x

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If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .8

hichkok12 [17]

Answer:

About 384.3 feet

Step-by-step explanation:

The formula for that is given by,

$S= \sqrt{30 \times d \times f \times n}$

Where,

S is the speed of the car

d is the distance of skid

f is the drag factor for the road surface

n is breaking efficiency as percentage

Putting the values we get,

$S^2= 30 \times d \times f \times n$

$d= \frac{S^2}{30 \times f \times n}$

$d = \frac{70^2}{30 \times 0.50 \times 0.85} = 384.3$ feet

So the length of skid marks would be 384.3 feet.

8 0

3 years ago

PLEASE HELP DUE SOON! IM SO CONFUSED!!!

pochemuha

The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement they are asking for us to determine the value of the unknown variable h. We are given one angle along with two sides.

Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown. We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).

Trigonometric functions

$sin(\theta) = \frac{opposite}{hypotenuse}$

$cos(\theta) = \frac{adjacent}{hypotenuse}$

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$sin(\theta) = \frac{opposite}{hypotenuse}$

$sin(36) = \frac{h}{15.6\ cm}$

We know have an expression which contains everything that we need to determine the value of the unknown. To help isolate h we need to multiply both sides by 15.6 cm which will isolate h. After that we need to simplify the expression so we can get the value of h.

Multiply both sides by 15.6 cm

$sin(36) * 15.6\ cm = \frac{h}{15.6\ cm} * 15.6\ cm$

$sin(36) * 15.6\ cm = h$

Simplify the expression

$0.5878 * 15.6\ cm = h$

$9.169 = h$

After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm. We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.

8 0

2 years ago

Performance Matters

spayn [35]

Answer:

the 1st, 2nd and 6th statements are true.

and probably the 3rd statement is true.

I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.

but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.

if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.

Step-by-step explanation:

g = number of general tickets sold

s = number of student tickets sold

so, in total

g + s = 234

tickets were sold.

and the revenue was

7g + 5s = $1,268

out of these 2 basic equating we get

g = 234 - s

and then

7(234 - s) + 5s = 1,268

1,638 - 7s + 5s = 1,268

-2s = -370

s = 185

g = 234 - s = 234 - 185 = 49

so, we know

185 student tickets were sold for 5×185 = $925

49 general tickets were sold for 7×49 = $343

7 0

1 year ago

Which one is equivalent

allsm [11]

Answer:sin240

Step-by-step explanation:

sin300=-(√3)/2

Sin240=-(√3)/2

So sin300 is equivalent to sin240

7 0

3 years ago

Would 3.24 be an integer?

alexgriva [62]

That’s a irrational number

8 0

3 years ago