Find the 22nd term of the sequence described by the
explicit formula:
f(n) = 8 + 3(n - 1)

Step-by-step explanation:

9x² - 36x + 16

= (Ax - B)² = A²x² - 2ABx + B².

By Comparing Coefficients, we have:

A² = 9,

2AB = 36,

B² = 16.

It is obvious that A = 3 and B = 4.

However 2AB = 2(3)(4) = 24 which is not equal to 36.

Hence 9x² - 36x + 16 is not a perfect square trinomial.

Answer:

False

Step-by-step explanation:

The polynomial cannot be factored.

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Given

[tex]y = -7x-6[/tex]

Required

Determine the initial value

The initial value of any equation is the point where

[tex]x = 0[/tex]

Substitute 0 for x in [tex]y = -7x-6[/tex]

[tex]y = -7 * 0 - 6[/tex]

[tex]y=0-6[/tex]

[tex]y = -6[/tex]

Hence, the initia; value is -6

Answer:

the answer is -6 ( and or c )

Step-by-step explanation:

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

Answer:

473 rounded to the nearest hundredth, would be 400.

Answer:

Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.

Answer:

5191.4

Step-by-step explanation:

976/0.188

=5191.4

Answer:oof

Step-by-step explanation:

Answer:

The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B

Step-by-step explanation:

The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]

The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]

∵ The function represents exponential decay with 5%

→ By using the second rule above

∴ y = a [tex](1-r)^{x}[/tex]

∵ The rate of decrease is 5%

∴ r = 5%

→ Change it to decimal by dividing it by 100

∵ 5% = 5 ÷ 100 = 0.05

∴ r = 0.05

→ Substitute it in the equation

∵ y = a [tex](1-0.05)^{x}[/tex]

∴ y = a [tex](0.95)^{x}[/tex]

→ Look at the answer to find which equation is written in this form

∴ y = 50 [tex](0.95)^{x}[/tex]

∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]

Answer:

13.75

Step-by-step explanation:

Answer:AlF3

Step-by-step explanation:

Answer:

its 53. i just took the test

Step-by-step explanation:

Answer:

as a decimal 0.3 and the percent is 30%

Answer:

in decimal :0.3 and in percent:3/10/total*100%

Step-by-step explanation:

in decimal: 3/10

=0.3

in percent= 3/10/total*100%

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

Mei descends faster

Mei's height decreases 5ft every second

Victor's height decreases 3.33 ft every second

Step-by-step explanation:

Given

Mel

[tex](x_1,y_1) = (2,50)[/tex]

[tex](x_2,y_2) = (5,35)[/tex]

Victor

[tex](x_1,y_1) = (1,60)[/tex]

[tex](x_2,y_2) = (4,50)[/tex]

Required

Who descend faster?

To do this, we simply calculate the slope/rate of both individuals

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Mei:

[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (2,50)[/tex]

[tex](x_2,y_2) = (5,35)[/tex]

[tex]m_1 = \frac{35 -50}{5 - 2}[/tex]

[tex]m_1 = \frac{-15}{3}[/tex]

[tex]m_1 = -5[/tex]

Mei descends at 5ft per second

For Victor:

[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (1,60)[/tex]

[tex](x_2,y_2) = (4,50)[/tex]

[tex]m_2 = \frac{50-60}{4 - 1}[/tex]

[tex]m_2 = \frac{-10}{3}[/tex]

[tex]m_2 = -3.33[/tex]

Victor descends at 3.33ft per second

By comparison:

Mei descends faster

Answer:

Mel: -5, 5

Victor: -10/3, 10,3

Edge 2021

Answer:

The equation which determined the rule for the function is:

Thus, option B is true.

Step-by-step explanation:

We know the slope-intercept form of line function is

y = mx+b

where m is the slope and b is the y-intercept

Given the table

x     -2       -1        0       1       2

y      -4       -1        2      5       8

Finding the slope between the points (-2, -4) and (-1, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]

[tex]m=3[/tex]

Thus, the slope of the function = m = 3

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

It is clear,

at x=0, y = 2

Thus, the y-intercept 'b' = 2

now substituting m = 3 and b =2 in the slope-intercept form

y = mx+b

y = 3x + 2

Therefore, the equation which determined the rule for the function is:

Thus, option B is true.

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Answer:

29

Step-by-step explanation:

a=23

b= 52

multiply eq. i with 2 then subtract from eq. ii

Answer:

the answer is -29 and -110

Answer:

for the first one its C,D and E

but for the second one i dont

know so sorry

Step-by-step explanation:

Answer: a. 2x + 3y = 1560

b. y = -2x/3 + 520

c. f(x) = -2x/3 + 520

Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget

Answer:

the answer is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Jmfsxbbihswyvbn

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

[tex]m \propto\ r^3[/tex]

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

[tex]m = kr^3[/tex]

Given

r=3,m=216

Putting the values

[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]

The equation will now become

[tex]m = 8r^3[/tex]

Putting r = 5

[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]

Hence,

The value of m is 1000 for r=5

Answer:

o,1

Step-by-step explanation:

Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.