Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.

f(x) = 1.5x - 0.5x

f(x) = 1.5x^2 + 1.5x

f(x) = 1.5x^2 - 0.5v

f(x) = 0.5x^2 + 0.5x

Answer:

y = -17x + 10

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -8-9/0-(-1)

m= -17/1

m=-17

then use point slope formula (y-y1) =m(x-x1)

(y-9) = -17(x-(-1))

simplify

y-9 = -17x + 1

turn into slope intercept form

y = -17x + 10

Answer:

All you have to do is multiply 14 by 8.

14 x 8 = 112

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

Answer:

Hello! answer: radius is 6

Step-by-step explanation:

It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!

Answer:

hahah 0x

Step-by-step explanation:

Answer:

Part A

The system of equations are;

x = y/18

x + 1/6 = y/13

Part B

13/30 hours

Step-by-step explanation:

The path on which Anita is riding = The path on which Brad is riding

The point at which Anita starts riding = The start of the park

The rate at which Anita is riding = 18 miles per hour

The time at which Bras began = 10 minutes ahead of Anita

The rate at which Brad is riding = 13 miles per hour

Part A

Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;

The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;

x = y/18

For Brad, we have;

10 minutes = 1/6 of an hour

The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;

x' = y/13

The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour

x' = x + 1/6

∴ x + 1/6 = y/13

Part B

Therefore, to travel the same 'y' mile as Anita , we have;

x + 1/6 = y/13

y = 13 × (x + 1/6) = 13·x + 13/6

y = 13·x + 13/6

For Anita, we had; x = y/18

∴ y = x × 18 = 18·x

Equating both y-values gives;

y = y

∴ 13·x + 13/6 = 18·x

18·x - 13·x = 5·x = 13/6

x = 13/(5 × 6) = 13/30 hours

The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

Answer:

The first one is the second option

The second one is the 2 and 4 options

Step-by-step explanation:

It’s right on ed

Answers:

B. (f(x) = |42.67 – x|)

B and D (42.6668 mm and 42.673 mm)

the next slide-

The parent function has a slope of 1 or -1 from any point to the vertex. In the problem, we are given the points

(–2, 3) and (–1, 0)

The slope between the two points is

m = 0 - 3 / (-1 - (-2))

m = 3

The slope is greater than 1. Therefore, the graph has been dilated by a scale factor other than 1.

Answer: 3902.4633

Step-by-step explanation: 3902.46 from deltamath

Answer:

x = 6

Step-by-step explanation:

using the Pythagorean theorem:

(4 + x)² = 8² + x²

16 + 8x + x² = 64 + x²

subtract x² and 16 from each side of the equation:

8x = 48

divide both sides by 8:

x = 6

Answer:

X = -7

Step-by-step explanation:

Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

[tex]\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ[/tex]

Answer:

y=2x-5

Step-by-step explanation:

i took algebra

Answer:

The answer should be 18: 3 x 3 x 2

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

Answer: See the image below for the filled out table.

The other root is x = -2

===========================================================

Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

Answer: a) no. The p value of the appropriate test is greater than 0.05

Step-by-step explanation:

The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Sample size n = 400 teachers

Sample mean X = 12.5 hours

Standard deviation S = 6.5 hours

Population mean u = 13 hours

Null hypothesis H0: u = 13

Alternativ hypothesis u <13

T-test:

[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]

t = -1.5385

Now degree freedom df = n -1  = 400 - 1

df = 399,  α = 0.05

P-value = p[1+t<-1.5385]

P-value = 0.0624

∴ P-value is greater than α because of this the null hypothesis failed.

Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Answer:

The answer is D

Step-by-step explanation:

when you are dividing two numbers with an exponent you want to subtract the exponents.

7-4 =3

Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

Answer:

$400

Step-by-step explanation:

Answer:

Point of intersection is - (x, y) = (1, 2)

Step-by-step explanation:

Given - y=3x-1 y=2x

To find - For each pair of equations draw the lines for each the point of intersection represents the sol.

Proof -

Given that, the two lines are

y = 3x - 1            .........(1)

y = 2x                 .........(2)

For the intersection point, Compare the two equations (1) and (2)

By comparing, we get

3x - 1 = 2x

⇒3x - 2x - 1 = 0

⇒x - 1 = 0

⇒x = 1

Now,

Put the value of x in equation (1), we get

y = 3(1) - 1

   = 3  - 1

   = 2

⇒y = 2

∴ we get

Point of intersection is - (x, y) = (1, 2)

The graph is as follows :

Answer:

'

Step-by-step explanation:

'

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

Answer:

you just put the point on the spot where x=2 and y=2

the red dot is the answer

Step-by-step explanation:

Answer:

[tex]x = \frac{d - b}{a - c} [/tex]

Answer:

-8/19

Step-by-step explanation:

-11/19 + 3/19

Since the denominators are the same, we add the numerators

(-11+3) /19

-8/19