Exponential function: f(x) = 5 ∗ [tex]3^{x}[/tex]
1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?

Logarithmic function: g(x) = log3 + 2
1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?

Answer:

Step-by-step explanation:

Factor g(x)

(x+4)(x+4)

(x+4)^2

So f(x) needs to be shifted left by 4 units.

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  [tex]ax^2 + bx + c[/tex]

However, we want g(x) to be in this order:  [tex](ax + c)^{2}[/tex]

The first thing we have to do is to factor it out:

[tex]g(x)=x^{2}+8x+16[/tex]

[tex]g(x) = (x + 4)(x + 4)[/tex]

[tex]g(x) = (x+4)^{2}[/tex]

Step 2:  Now we can see which way we need to move it

The original form is:  [tex]f(x) = (ax - b)^{2}[/tex]

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer:

A = 708 mm^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]

Answer:

10+p

Step-by-step explanation:

that's pretty much it

Answer:

[tex]\displaystyle (4,-5.25)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point A(3, -8)

Point B(5, -2.5)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

25x-25y

Step-by-step explanation:

The distributive property tells us how to solve expressions in the form of a(b + c).

So, a*b and a*c would be the answer.

25*x and 25*y

Good luck on your assignment. :)

Answer:

=25x−25y

Step-by-step explanation

Answer:

$245

Step-by-step explanation:

Step-by-step explanation:

Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.

35*2=x / 3*2+1/2

Multiply 35 and 2 to get 70.

70=x / 3*2+1/2

Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.

70=x*2/3*2+1

Multiply 3 and 2 to get 6.

70=x*2/6+1

Add 6 and 1 to get 7.

70=x*2/7

Swap sides so that all variable terms are on the left-hand side.

x*2/7=70

Multiply both sides by 7.

x*2=70*7

Multiply 70 and 7 to get 490.

x*2=490

Divide both sides by 2.

x=490/2

Divide 490 by 2 to get 245.

x=245

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

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Answer:

$15.21

Step-by-step explanation:

Answer:

15.21

Step-by-step explanation:

20−4.79

Subtract 4.79 from 20 to get 15.21.

15.21

Answer:

So we have two angles and the included side congruent to corresponding parts of the other triangle.

This is called angle-side-angle or ASA

Correct choice is

Preimage is CP = 12, image is CP' = 3

Scale factor is:

This is a 4 times reduction

Correct option is D:

Answer:

B, and D or 2, and 4

Step-by-step explanation:

b=2 d=4

The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

The dimensions of his room are 7 feet by 12 feet by 8 feet. Hence:

The surface area of the wall = area of the four walls and ceiling = (7 * 8) + (12 * 7) + (7 * 8) + (12 * 7) + (8 * 12) = 376 ft²

The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²

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Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.

Answer:

the base area is 20,000

2 x 20,000 = 40,000

Answer:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Step-by-step explanation:

Given

[tex]3\sqrt{6x^2[/tex]

Required

Express as a radical

Split

[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]

[tex]\sqrt{x^2} = x[/tex]

So:

[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]

This gives:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Answer:

No

Step-by-step explanation:

Answer:12.56 square units

Step-by-step explanation:

C=2ttr

Answer:

$2.95

Step-by-step explanation:

$14.30 - $2.50 = $11.80

$11.80/4 = $2.95 for a chicken sandwhich

Answer:

Step-by-step explanation:

radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²]  = 3

The required radius of the circle is

center is (2,3)
point on the circle is (5,3).

Radius of the circle is the distance between the center to the circumference.

Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]

Radius = [tex]\sqrt{4}[/tex]
Radius = 2

Thus, the required radius is 2 .

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Answer:

yes

Step-by-step explanation:

answer:

2x^3-3x^2+9x+2

step-by-step explanation:

i added 4x and 5x to get 9x

good luck :)

hopefully, this helps

have a great day !!

Answer:

the slope is 2/3 bcoz u do 2-0/3-0

Answer:

Step-by-step explanation:

volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³

10 gal × 3,785 cm³/gal = 37,850 cm³

37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones

Buy 5 packages (250 cones).

8 gal × 3,785 cm³/gal = 30,280 cm³

30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones

250 - 165 = 85 cones left over

a). Number of packs of cups to be purchased = 5 packs

b). Number of cups remaining if 80% lemonade is sold = 85 cups

          [tex]V=\frac{1}{3}\pi r^2h[/tex]

          Here, r = radius of the cone

                    h = Height of the cone

Given in the question,

a). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]

                                        = 184.307 cm³

    Covert the gallons into cubic cm,

   ∵ 1 gallon = 3785 cm³

   ∴ 10 gallons = 37850 cm³

   ∵ 184.307 cm³ volume represents the number of cones = 1

   ∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups

   ∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups

                                                                      = 205.36 cups

                                                                      ≈ 205 cups

     Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]

                                                                                         = 5 packs

b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]

                                                                                                        = 8 gallons

    Volume of 8 gallons lemonade in cm³ = 8 × 3785

                                                                     = 30280 cm³

    Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups

                                                                     = 164.29 cups

                                                                     ≈ 164 cups

    Number of cups purchased = 250

    And the number of cups remaining = 250 - 164

                                                                 = 86 cups

    Therefore, number of cups remaining are 86 cups.

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Answer:

hi

Step-by-step explanation: