Explain how the graph of f(x) is obtained

Answer:

$6300

Step-by-step explanation:

A = P(1 + rt)

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   t = Time Period involved in months or years

P = $4500

t = 5 years

r = 8% = .08

A = P(1 + rt)

A = 4500 ( 1 + (.08*5))

A = 4500 ( 1 + .4)

A = 4500 (1.4)

A = $6300

Susan will pay $6300 for the furniture

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The equation I used is the same as what you were given:

I = Prt

A = I + P   Re-write as I = A - P

So you plug in A - P for I:

A - P = Prt      Add P to each side

A - P + P = Prt + P

A = Prt + P     Pull P out

A = P(rt + 1)   Re-arrange

A = P(1 + rt)

Same equation!

Answer:

54 + 42 = 6(9 + 7)

Step-by-step explanation:

Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.

Answer:

its the last one

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

A ratio of 3:4 means that for every 3 boys there are 4 girls and vice versa.

12 girls / 4 girls = 3

3 boys * 3 = 9 boys

There are 9 boys in the class.

9 boys + 12 girls = 21 total students

The density of a substance is the mass per unit volume. The mass of the metal bar is 3.95 kg.

The density of a substance is the mass per unit volume.

It can be given as,

[tex]\rho=\dfrac{m}{v}[/tex]

Here, [tex]m[/tex] is the mass of the substance and [tex]v[/tex] is the volume of hte substance.

Given information

A metal bar has the D of 7.9 g/mL .

Volume of the bar is 500 mili liter.

Suppose the mass of the metal bar is [tex]m[/tex] grams. Thus put the values in the above formula as,

[tex]\rho=\dfrac{m}{v}\\7.9=\dfrac{m}{500}\\[/tex]

Solve for m,

[tex]m=500\times7.9\\m=3950[/tex]

Thus the mass of the metal bar is 3950 grams. Convert it into the kg as divide by 1000. Thus,

[tex]m=\dfrac{3950}{1000}\\m=3.950[/tex]

Hence the mass of the metal bar is 3.95 kg.

Learn more about the density of the substance here;

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Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225

Simple answer.

You will have to replace a, with the given numbers.

For the 1st one)

70-25² since a=25. 70-625=-55

2nd)

70-1²=70-1=69

3d)

70-10²=70-100=-30

Hope this helped.

Answer:

We substitute

12 = -x - 2

14 = -x or -x = 14

so the answer is -14!

I am in honors high school algebra and I am 11. Trust me bro.

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

You are able to put 18.18 in a fraction.

Hope this helped, Have an AMAZING day/night!

Answer:

-7

Step-by-step explanation:

6r+3=4r-11

distributive property

6r-4r=-11-3

2r=-14

r=-7

Answer:

(5,100)

Step-by-step explanation:

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.*  (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level            x

1             0.411

2            0.278

3            0.221

4            0.080

5            0.010

Calculating the mean ([tex]\bar{x}[/tex])

[tex]\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2[/tex]

∴Mean = 0.2

level            x         [tex]x- \bar{x}[/tex]         [tex](x - \bar{x})^2[/tex]  

1             0.411         0.211         0.0445  

2            0.278       0.078        0.0608

3            0.221        0.021         0.000441    

4            0.080        -0.12         0.0144

5            0.010         -0.19         0.0361

                                              [tex]\sum(x - \bar{x})^2 = 0.1562[/tex]

[tex]variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391[/tex]

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox.  category 2 (B)

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700

Answer:

1

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a - b + c

a = 4

b = 2

c = -1

Step 2: Solve

Answer:

what do I need to do to answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

What is the correct answer to 9 + 3?

12

Answer: A

Step-by-step explanation:

The sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].

To find the sum of [tex](8.7 \times 10^9)[/tex] and [tex](4.58 \times 10^9)[/tex] and express it in scientific notation.

we need to add the coefficients and keep the same exponent.

[tex]8.7 \times 10^9 + 4.58 \times 10^9[/tex]

[tex]= (8.7+4.58)\times 10^9[/tex]

[tex]= 13.28 \times 10^9[/tex]

Therefore, the sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].

To learn more on Number system click:

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Complete question:

Find the sum. Express the answer in scientific notation.

(8.7 x 10⁹)+(4.58 x 10⁹)

1.328x10⁸

1.328 x 10¹⁰

13.28 x 10⁹

13.28 x 10¹⁸

Answer:

15 if b is supposed to the side length, √15 if b is the base which is a square.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

Answer:

30

Step-by-step explanation:

RST=RSV-TSV

2x+8=11x+10-101

2x-11x=10-8-101

-9x=-99

x=99/9

x=11

--->RST=2(11)+8

RST=30

Answer:

Class width

Step-by-step explanation:

Class width is the difference between two consecutive lower limits (or two consecutive lower class boundaries) in a frequency distribution.

Answer:

ok639010 is the answer of the day when I am in the toilet

Rewrite 1 1/5 as 6/5

Now you have 12 / 6/5

When dividing by a fraction, flip the fraction over and multiply:

12 / 6/5 = (12 x 5) /6 = 60/6 = 10

The answer is 10

Answer:

8

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

if 1 is 50 then the measure of 2 would be 100

Answer:

The measure of angle 2 is

Step-by-step explanation:

angle 1 is 50 degrees and it creates a linear pair (adds up to 180) with the angle right under it.

so we can say that 50+x=180  (x represents angle 2)

subtract x from both sides ,  50-50+x=180-50

x= 130

Answer:No Solution

Step-by-step explanation:

Consistent dependent like 0=0 or x=x

Answer:

A. [tex]C(x,y) = (3,-1)[/tex], [tex]r = 2[/tex], x-Intercepts: [tex]x = 3\pm\sqrt{3}[/tex], y-Intercepts: none.

Step-by-step explanation:

Let [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] be the general equation of the circle, we must transform the expression into standard form to determine its center, radius and intercepts. The procedure is shown below:

1)  [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] Given.

2) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) +6= 0[/tex] Commutative and associative properties.

3) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) + 6 + 3 + 1 = 3 + 1[/tex] Compatibility with addition.

4) [tex](x^{2}-6\cdot x +9)+(y^{2}+2\cdot y +1) = 4[/tex] Definition of addition/Commutative and associative properties.

5) [tex](x-3)^{2} + (y+1)^{2} = 4[/tex] Perfect square trinomial/Result.

The equation of the circle centered in (h, k) in standard form is defined as:

[tex](x -h)^{2} + (y-k)^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinate of the center of the circle, dimensionless.

[tex]r[/tex] - Radius of the circle, dimensionless.

By direct comparison we find that circle is centered in [tex]C(x, y) = (3, -1)[/tex] and has a radius of 2.

Finally, we obtain the intercepts of the given function:

x-Intercepts ([tex]y = 0[/tex])

[tex](x-3)^{2} + (0+1)^{2} = 4[/tex]

[tex]x^{2}-6\cdot x +9+1 = 4[/tex]

[tex]x^{2}-6\cdot x +6=0[/tex]

Roots are found analitically by Quadratic Formula:

[tex]x = 3\pm\sqrt{3}[/tex]

y-Intercepts ([tex]x=0[/tex])

[tex](0-3)^{2}+(y+1)^{2} = 4[/tex]

[tex]9+y^{2}+2\cdot y +1 = 4[/tex]

[tex]y^{2}+2\cdot y +6 = 0[/tex]

Roots are found analitically by Quadratic Formula:

[tex]y = -1\pm i\,\sqrt{5}[/tex]

In a nutshell, there are no y-Intercepts.

We include a graphic including circle, center and x-Intercepts.

Finally, we came to the conclusion that correct answer is A.

Answer:

10

I hope this helps!

Answer:

hope the pics below helps!!

Plz mark brainliest :DD

The groomer charges is an illustration of a piece-wise function, where different functions are used to handle different inputs.

The piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

Let:

[tex]x \to[/tex] weight of dog

[tex]y \to[/tex] charges

Dogs that weigh 15 pounds or under

This means that: [tex]x \le 15[/tex]

And the charges is [tex]y = 35[/tex]

Dogs that weigh between 15 and 40 pounds

This means that: [tex]15 < x \le 40[/tex]

And the charges is [tex]y = 40[/tex]

Dogs that weigh over 40 pounds

This means that: [tex]x > 40[/tex]

And the charges is [tex]y = 40 + (x - 40) \times 2[/tex]

Simplify

[tex]y = 40 + 2x - 80[/tex]

Collect like terms

[tex]y = 2x +40- 80[/tex]

[tex]y = 2x - 40[/tex]

So, the piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

See attachment for the graph of the piece-wise function

Read more about piece-wise functions at:

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