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shepuryov [24]
2 years ago
6

I need help please.

Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

0.167, 0.164, 0.16

Step-by-step explanation:

In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.

You might be interested in
1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a
ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

1.

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

2.

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

3.

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

4.

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0
3 years ago
Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2
SVETLANKA909090 [29]

Answer:

slope = - \frac{\sqrt{3} }{3}

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y \frac{dy}{dx} = 0

2y \frac{dy}{dx} = - 2x

\frac{dy}{dx} = - \frac{2x}{2y} = - \frac{x}{y}

\frac{dy}{dx} is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2\sqrt{3} ⇒ y = ± 2\sqrt{3}

using x = - 2, y = - 2\sqrt{3}, then

\frac{dy}{dx} = - \frac{1}{\sqrt{3} } = - \frac{\sqrt{3} }{3}


3 0
3 years ago
Solve whether the equation have 1 solution no solution or infinity solution
babymother [125]
Steps to solving equations:
Simplify/combine the like terms
Isolate the variable (Get the variable on one side
Solve for the variable

-2y - 7 + 5y = 13 - 2y Simplify/Combine terms
3y -7 = 13 - 2y Isolate variable by adding 2y to both sides
5y - 7 = 13 Add 7 to both sides to get y alone on one side
5y = 20 Divide by 5 on both sides to solve for y
y = 4
You can check your answer by replacing y with 4 in the original equation.
5 0
2 years ago
Read 2 more answers
Which statements about the number properties are true? Choose all answers that are correct. A. The associative property applies
IrinaK [193]
The statements about the number properties are true are the below: A. The associative property applies to multiplication. C. The associative property applies to addition. D. The commutative property applies to multiplication. The commutative cannot be apply to subtraction because of the changing the request of 6-2-1 to 2-6-1 is not a similar thing. <span>
</span>
6 0
3 years ago
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p
marusya05 [52]

Answer:

33.33%

Step-by-step explanation:

We need to calculate the <u>unit selling price and cost of each cosmetics.</u>

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

5 0
3 years ago
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