3) If g(x)= 3y - 2x+8, find g(y+10) in simplest form.

Answer:

Step-by-step explanation:

8n^2-2n+4

[tex]3x+15y=45[/tex]

[tex]x+5y=15[/tex]     ↦ Divide the whole equation by 3.

[tex]5y=15-x[/tex]     ↦ Move the x to another side.

[tex]y=\frac{15-x}{5}[/tex]     ↦ Move 5 to divide 15-x

[tex]y=\frac{15}{5}-\frac{x}{5}[/tex]     ↦ Separate

[tex]y=3-\frac{x}{5}[/tex]     ↦ Divide 15 by 5 as we get 3.

[tex]y=-\frac{x}{5}+3[/tex]      ↦ Arrange in the form of y = mx + b or the slope-intercept form.

That's the answer.

Answer:

C: 6.25 (a+c)

Step-by-step explanation:

Since the price for all ages is $6.25

Both children and adult (c,a) would be multiplied by the price to get the total money earned

Answer:

22m

Step-by-step explanation:

You're welcome, just trust me it's right.

Answer:

(_11)×15 please help help me me my question solve please

Answer:

Step-by-step explanation:

A is correct for first question

If the function h(t) = tan(5t +4 )  using chain rule  we found values h'(1)=  6.02 and h"(1) = -27.24

Chain rule for differentiation states that the differentiation of the composition of two functions f, g

(fоg)' = f'(g(x))* g'(x)  , where '  represents first derivative  with respect to independent variable x .

For three functions : x, y, t

(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)

Given h(x) = tan(5t+4)

Let  f(t) = tan t and g(t) = 5t+4

f'(t) = sec² t and g'(t) = 5

Then h(t) = fоg(t)

Using chain rule of differentiation:

h'(t) = (fоg(t))' = f'(g(t))* g'(t) = sec²(5t+4) *(5) = 5 sec²(5t+4)

let x(t) = 5t², y(t) = sec(t), z(t) = 5t+4

x'(t) = 10t , y'(t) = sect tan t  , z'(t) =5

(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)

h"(t) =(x(y(z(t))))'= 10 sec(5x+4) * sec(5t+4)tan(5t+4)*5

h"(t) = 50sec²(5t+4)tan(5t+4)

The value of h'(t)  at t =1

h'(1 ) = 5 sec²(5(1)+4)= 5 sec²(9) =6.02

h"(1) = 50sec²(5(1)+4)tan(5(1)+4) = 50sec²(9)tan(9) = -27.24

Therefore, the values h'(1 ) = 6.02 and  h"(1)  = -27.24

Also. Learn more about differentiation rules from the link below:

https://brainly.com/question/14406735

#SPJ1

It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.

A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l

It should be noted that the Z value will be computed thus:

Z = X - U / SD

Z = 541.6 - 516 / 20

Z = 1.28.

This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours

Learn more about standard deviation on:

https://brainly.com/question/13512104

#SPJ1

The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?

Answer:

so y intercept is 24

Step-by-step explanation:

Using y = mx + b

m = -8

y = -8

x = 4

then -8 = -8(4) + b

-8 = -32 + b

b = 32 - 8 = 24

The only decimal that contains a digit that represents ten times the value of the digit to its' right is; 33.458

From the question, we want to find the digit that represents ten times the value of the digit to its' right.

Now, when it comes to decimals, there is the whole number part which is the left side of the decimal while there is a fraction part which is the right side of the decimal.

Now, the decimal values given are;

36.295

33.458

37.889

Let us analyze each of them;

1) 36.295 = 30 + 6 + 2/10 + 9/100 + 5/1000

We can see that there is no number that is ten times the number to it's immediate right.

2) 33.458 = 30 + 3 + 4/10 + 5/100 + 8/1000

We can see that 30 is ten times the number to it's immediate right which is 3.

3) 37.889 = 30 + 7 + 8/10 + 8/100 + 9/1000

We can see that there is no number that is ten times the number to it's immediate right.

Read more about Decimals at; https://brainly.com/question/1827193

#SPJ1

Answer:

A.

Step-by-step explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

GH: (-5,-2) (0,6)

[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

Same slope and different y-intercept means the lines a parallel

Answer: The third option

Step-by-step explanation: You have to look for a pattern, as the x value increases by 1, the y value decreases by 8, every single time.

Answer:

9c + 12

Step-by-step explanation:

Answer:

9c+12

Step-by-step explanation:

Step-by-step explanation:

-7/12 -2.1, 4, 5, 8

I couldn't read it well but I think this is what you meant.

Answer:

6 liters of gasoline

Step-by-step explanation:

Since, 1 km = 0.6214 miles

Therefore, 100 km = 0.6214 × 100 = 62.14 miles

∵ For 431.8 miles of driving Joshua required amount of gasoline = 10.4 gallons

∴ For 1 mile of driving gasoline required = [tex]\frac{10.4}{431.8}[/tex] gallons

∴ Gasoline required to drive 62.14 miles = [tex]\frac{10.4}{431.8}\times 62.14[/tex] gallons

                                                                   = 1.4967

                                                                   ≈ 1.5 gallons

∵ 1 gallon of gasoline = 3.8 liters

∴ 1.5 gallons of gasoline = 3.8×1.5

                                        = 5.7

                                        ≈ 6 liters

The number of liters of fuel should be 6 liters.

Since distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol).

So,

Since, 1 km = 0.6214 miles

Now

100 km = 0.6214 × 100 = 62.14 miles

The number of liters should be

[tex]= 10.4 \div 431.8 \times 62.14 \times 3.8[/tex]

= 6 liters

learn more about distance here: https://brainly.com/question/24768116

Answer:

try to find the c's in the o's how many are there?

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answer:

2x+8x-3x= 7x

Step-by-step explanation:

simply just sum the number

Answer:

5(15+r)= however many minutes 5*r is

or (5*15)+(r*15)

Step-by-step explanation:

Answer: A.

Step-by-step explanation: Brainliest plz

The line starts from 1. It ends at 3.5. 3.5-1 is 2.5.

Answer:

shut dafaq up

Step-by-step explanation:

Answer:

-2 or -2/1

Step-by-step explanation:

Take these two points and just do rise over run.

Answer:

B

Step-by-step explanation:

Answer:

All rational numbers or all numbers

Step-by-step explanation:

The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.

Domain is the x-values that a function has, while range is the y-values.

Since the domain and range are infinite, it is all real numbers.

Hope this helps!

Edit: forgot the image

I zoomed out 2 million units out so you get what im saying kinda

Answer:

x(3 – 4)

Step-by-step explanation:

x^3y

/x^4y

get rid of y

x^3/x^4

subtract exponents

x(3 – 4)

Brainliest please ask me if you have more questions.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete but a possibility is that the given parameters are points  on a straight line.

I'll answer base on that assumption.

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

To solve for y, we have that:

[tex]RT = RS + ST[/tex]

This gives:

[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]

Collect Like Terms

[tex]13y - 6y - 2y = 21 +2+7[/tex]

[tex]5y = 30[/tex]

Divide both sides by 5

[tex]y = 6[/tex]

To get the measure of each line. Substitute 6 for y in

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]

[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]

[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]