Match the Exponential functions to the Y intercept.

Answer:

Step-by-step explanation:

Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.

1.)3 x 2 + 3 x 8 = 24

Now that you got the steps down, ima do the rest in my head

2.) 2

3.) -10

4.) -50

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = ab + ac

                                    a(b - c) = ab - ac

1) 3(2 + 8) = 3*2 + 3*8

                = 6 + 24

                = 30

2) (-3 + 4)2 = -3*2 + 4*2

                 = -6 + 8

                = 2

3) -5(4 - 2) = -5*4 - (-5)*2

                 = - 20 + 10

                = -10

4)(12 +13)(-2) = 12*(-2) + 13 *(-2)

                    = -24 - 26

                    = -50

Answer:

b+3

Step-by-step explanation:

Largura : b+2

Área: b² +5b +6

Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.

A partir dos zeros da equação da área é possível encontrar o polinômio da altura:

[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]

Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.

A prova pode ser feita pela multiplicação dos polinômios:

[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]

Answer: 10.2

Step-by-step explanation:

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

Answer:

89

Step-by-step explanation:

8 is divisible by 4

And 9 is divisible by 3

Answer & Step-by-step explanation:

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.

Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = ([tex]\frac{120 * $20.52}[/tex])/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

Answer:

Step-by-step explanation:

18/30 becuase 30 have a cat and 18 have both.

18/30 = 6/15

I'm always happy to help :)

Answer:

A: -4

B: 5

C: -2

Step-by-step explanation:

The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.

-4x²+5x-2

Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.

A: -4

B: 5

C: -2

Answer:

32 servings

Step-by-step explanation:

Take the amount of honey and divide by the size of a serving

8 ÷ (1/4)

Copy dot flip

8 * 4/1

32

There are 32 servings

Answer:

32 servings

Step-by-step explanation:

Answer:

B, D, E and G lies on X axis

Answer: C

Step-by-step explanation:

Make them both equal to 0

Answer:

answer is c

Step-by-step explanation:

Answer;

Option B is correct.

The function increases at a constant multiplicative rate.

Step-by-step Explanation:

Complete Question

A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?

x | f(x)

0 | 2

1 | 3

2 | 4.5

3 | 6.75

a) The function increases at a constant additive rate.

b) The function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

d) As each x value increases by 1, the y values increase by 1.

Solution

The function provided is

f(x) = 2(3/2)ˣ

We will take as h of the options one at a time to investigate which one is true.

a) The function increases at a constant additive rate.

A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,

f(1) - f(0) = f(2) - f(1) = f(3) - f(2)

Inserting the values

3 - 2 = 4 5 - 3 = 6.75 - 4.5

1 ≠ 1.5 ≠ 2.25

Hence, this statement isn't true.

b) The function increases at a constant multiplicative rate.

For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,

f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)

Inserting the values

(3/2) = (4.5/3) = (6 75/4.5)

1.5 = 1.5 = 1.5

The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

For this to be true, f(0) = 0.

But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.

d) As each x value increases by 1, the y values increase by 1.

We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.

Hope this Helps!!!

Answer:

B

Step-by-step explanation:

Answer:

Go to me. Click on your profile picture then click on your profile picture again to change it

[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]

Answer:

X/Y = 4/8= 1/2

Step-by-step explanation:

This is the answer of this question

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

Answer:

x = 8

Step-by-step explanation:

Add 16 to both sides of the equation.

x = −8 + 16

Add − 8 and  16

 x = 8

Answer: 3y+6

Step-by-step explanation:

The slope of the given line is -3/4.

Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.

Use the given point and the point-slope formula to get the equation of the particular line:

y - (-1) = 4/3 * (x - 0)

y + 1 = 4x/3

y = 4x/3 - 1

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

Answer:

B.

Step-by-step explanation:

They all are alternating interior angles so they'll be congruent.

Answer:

B. Alternating interior angles are congruent

Step-by-step explanation:

The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.

Answer:

-2

Step-by-step explanation:

x-value of the vertex is -2.

The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

Given

[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)

The vertex formula helps to find the vertex coordinates of a parabola.

The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]

The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

By comparing vertex form of parabola in equation 1

a = 1, h = -2 , k = -1

Hence, x-value of the vertex is -2

Learn more about vertex form of parabola here

https://brainly.com/question/20333425

#SPJ2

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

Step-by-step explanation:

The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.

Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.

What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.

Doing this 125 times, we obtain the number of trials we desire.

For each trial, we get for each child, C:

C1: X + (X or Y)

C2: X + (X or Y)

C3: X + (X or Y)

C4: X + (X or Y)

C5: X + (X or Y)

Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

Answer:  5 Hz

The frequency is the inverse of period... Them:

[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]