Which graph represents a nonlinear function?​

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

8 and one thirds

Step-by-step explanation:

5 times 5 is equal to 25 and 25 divided by 3 is 8.3333

Answer:

$8.33

Step-by-step explanation:

So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.

I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33

Answer:

[tex]50[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] blank (for convenience)

[tex]20\%x=10[/tex]

[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)

[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)

[tex]x=50[/tex]

∴ Blank = 50

Hope this helps :)

Answer:

D= 3N-5

0.10D+0.05N=5.80

Step-by-step explanation:

So, Let D represents the number of dimes

N represents the number of nickels.

For the given statement "The number of dimes is 5 less than 3 times the N"

So, we could set up equation as

D=3N-5

Now, for the statement "The value of collection is $5.80"

So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)

0.10D+0.05N=5.80

Answer:

14

Step-by-step explanation:

21 times 2 = 42

42 divided by 3 = 14

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

Answer: y+3

Step-by-step explanation: I'm taking the test rn

Answer:

y + 3

Step-by-step explanation:

I took the test and got it right.

Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.

Answer: The fraction of the windows remaining  for Kendra to wash=4/15

Step-by-step explanation:

Step 1

The fraction of windows washed on Monday = 2/5

The fraction of windows washed on Tuesday= 1/3

Fraction remaining to be washed = Total windows - Fraction already washed

Step 255

Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15

The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the

Fraction remaining to be washed = 1- Fraction already washed

= 1- 11/15 = 15/15-11/15= 4/15

Answer:

Step-by-step explanation:

Step-by-step explanation:

-33 + -20 is -53. and I don't how

Answer:

y-4=3(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

Answer:

yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

Answer:

y =  3x - 1

Step-by-step explanation:

Answer:

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Step-by-step explanation:

Given

∠1 = 70°

To determine

We need to determine angle ∠5

From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.

As angle ∠5 is the corresponding angle of angle ∠1 = 70°.

Therefore,

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Answer: number 1

Step-by-step explanation:

Answer:

Multiply -14.1 by -7.33.103.353     ?

Step-by-step explanation:

Sorry I'm not very good at math hope this helps..

Answer:

Step-by-step explanation:

jordan traveled 255 miles out of 340 miles

340 miles.........................100 %

255 miles..........................   ?

255*100=2500/340=73%

See attachment for math work and answer.

Answer:

blank 1-2x+y1=86

Blank 2- x+y=48

Step-by-step explanation:

Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%

Answer:

2(4)-5=3

we know that C is going to be multiplied by 2 and the value of C=4

so 2*4 = 2(4)

2(4)-5

2*4=8

8-5=3

So, the answer is 3