For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?

Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

Learn more about prime factor here: https://brainly.com/question/18187355

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Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Answer:

2 cups

Step-by-step explanation:

Answer: l,j,k

Step-by-step explanation:

At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

The given polynomial expression:

y = 2x³ + x² - 7x - 6

The zeros of a polynomial equation are the values of x at which the given function equals zero.

The first zero of the given function is at x = 2;

f(2) = 2(2)³  + (2)²  - 7(2)  - 6

     = 16   +  4  - 14  - 6

     = 20   -    20  =  0

The second zero of the given function is at x = -1;

f(-1)  = 2(-1)³  + (-1)²   - 7(-1)   -   6

      = -2    +   1   +   7   -  6

      = - 8  +  8 =  0

The third zero of the given function is at x = -1.5;

f(-1.5)  = 2(-1.5)³   +  (-1.5)²   -  7(-1.5)   -  6

          = - 6.75    +  2.25   + 10.5    -  6

          = - 12.75  + 12.75  = 0

The zeros of the given function include;

----(-1.5)-------(-1)------------------------------(2)--------

Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

To learn more about zeros of a function, please visit: https://brainly.com/question/12316127

Answer:

12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo

Answer:

80 ft

Step-by-step explanation:

width = w

length = w+10

Perimeter of a rectangle

P = 2(l+w)

300 = 2(w+10+w)

300 = 2(2w+10)

Divide by 2

300/2 = 2/2(2w+10)

150 = 2w+10

Subtract 10

150-10 = 2w+10-10

140 = 2w

Divide by 2

140/2 = 2w/2

70 = w

l = w+10

l = 70+10

w = 80

Answer:

2

Step-by-step explanation:

slope = rise/run

rise = difference in y

run = difference in x

slope = (8 - 2)/(3 - 0)

slope = 6/3

slope = 2

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20

Answer:

7π + 7π + 196 ( could also be 14π + 196)

Step-by-step explanation:

14 is the length of the square. However it is also the diameter of the circle.

If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.

After finding 7π for one half a circle you do the same for the other and also get 7π

After finding the 2 half circles find the square which is 14 x 14 = 196

196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π

Answer:

8

Step-by-step explanation:

I do not know the details of the work but if it's a simple "Solve for x" question, you're not quite right.

1/2x+3=7

1/2x= 4

x= 8

Answer:

- 5i

Step-by-step explanation:

sqrt(-100) / -sqrt(4)

We know that  sqrt(a) / sqrt(b) = sqrt(a/b)

- sqrt(-100/4)

- sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

- sqrt(25) sqrt(-1)

We know sqrt(-1) = i

Taking the principle value of sqrt(25)

- 5i

Answer:

23x + 12y + -4xy^2

Step-by-step explanation:

So lets first expand

3y (-4 x(5x - 3y + y^2)

let's ignore 3y for now

Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.

note: Capital X = Multiplying symbol

___________________________________

-4 X 5x, -4 X - 3y, -4 X y^2

= -20x + 12y + -4xy^2

now we bring back the 3x

3x - -20x + 12y + -4xy^2

so now we simplify, by finding like terms

= 23x + 12y + -4xy^2

Answer:

99/280

Step-by-step explanation:

24.75/70

Multiply the top and bottom by 100

2475/7000

Divide the top and bottom by 25

99/280

Answer: $[tex]\frac{9.9}{28}[/tex]

Step-by-step explanation:

[tex]\frac{24.75}{70}[/tex] is the fraction.

First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.

{[tex]\frac{24.75 * 100}{70 * 100}[/tex]} = [tex]\frac{2475}{7000}[/tex]

Now, since it is not in its lowest form we need to simplify it.

For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.

After simplifying, the final answer is [tex]\frac{99}{280}[/tex].

However we need to put back the decimal places.

Final answer is  $[tex]\frac{9.9}{28}[/tex]

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

Answer:

6.768

Step-by-step explanation:

(4,23)(1.6)=6.768

Answer:

see your answer in pic

mark me brainlist

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

1) You shulduse the formula x^2-y^2= (x-y)(x+y)

That obvious, that 9.9 is considered as x, and 0.1 as y

2) So  9.9²- 0.1²​= (9.9-0.1) * (9.9+0.1)=9.8*10=98

Answer:

No

Step-by-step explanation:

In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not).  It would not go through (0.0), but would go through (2, 0)

Answer:

mean

Step-by-step explanation:

The mean is the center of a normal distribution

Answer:

62

Step-by-step explanation:

add 24 to the smaller number to get the greater one

Answer:

62

Step-by-step explanation:

let, the greater number be 'x' and smaller number be 'y'

x-y=24 i.e. x-38=24

or, X=24+38

X= 62

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

Answer:

apples = 160

oranges = 100

Step-by-step explanation:

Let apples be x and oranges be y

so

x = 60+y

now he have

y = x + 20

y-20 = x

(60+y)/2 = y-20

60+y = 2y-40

60+y-2y = -40

or, 60-y = -40

or, 60+40 = y

or, y = 100

so, y = 100

now, x = 60+100

so, x = 160

Answer:

100 oranges

160 apples

Step-by-step explanation:

Initially let x = oranges, so apples = x + 60

He sells 1/2 the apples which is (x + 60)/2, then there are 20 more oranges than apples so x (the oranges) will = the remaining apples (x + 60)/2 plus 20 OR

x = (x + 60)/2 + 20 multiply each term by 2 to get rid of the denominator

2x = (x + 60) + 40

2x - x = 60 + 40

x = 60 + 40 = 100 oranges AND

x + 60 or 160 apples

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!