determine whether the square of the following numbers are odd or even. i) 2826 ii)7779 iii)30018 iv)8204​

Answer:

First term is [tex]\frac{3}{2}[/tex].

Common difference: -1

Step-by-step explanation:

Given the sequence:

[tex]\frac{3}{2} , \frac{1}{2} , -\frac{1}{2}, -\frac{3}{2}, ...[/tex]

we notice that one term is generated from the previous one by subtracting from it "1". That means that the common difference for this sequence is "-1", and its first term is [tex]\frac{3}{2}[/tex].

Answer:

Step-by-step explanation:

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x) add g(x) to f(x)

That's

We have the final answer as

Hope this helps you

Answer:

[tex]\Large \boxed{(f + g)(x) = 4x - 2}[/tex]

Step-by-step explanation:

We have two functions.

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x), we have to find the sum of f(x) and g(x).

(f+g)(x) = f(x) + g(x)

(f + g)(x) = 7x - 4 + -3x + 2

Combining like terms.

(f+g)(x) = 7x - 3x - 4 + 2

(f + g)(x) = 4x - 2

Hey there! I'm happy to help!

QUESTION 100

Here, we are looking for the number of permutations. A permutation is the number of possible arrangements you can make from a given set of things (order matters). If you have 6 kids standing in alphabetical order in line, that is one permutation. If you do reverse alphabetical order, that is a different permutation.

We are asked to find the number of permutations using the given format:

[tex]_{n}P_{r}\\[/tex]

This is simply a representation of what we want to find. The P means we are looking for the number of permutations. The n is the total number of objects in the set (for example, if there were 26 kids we could choose from to make this 6 person line, n would be 26). The r is the number of things chosen from the set (in our line example, the r would be six because we are choosing 6 kids).

The formula for finding the number of permutations is [tex]\frac{n!}{(n-r)!}[/tex]. The ! is factorial, it means you multiply that number by every integer counting backwards towards 1. 6! is 6×5×4×3×2×1. There is an option to do this on your calculator, though.

Let's solve this problem.

[tex]_{5}P_{4}=\frac{5!}{(5-4)!}= \frac{120}{1} =120[/tex]

This means that there are 120 permutations.

QUESTION 101

Now we have a C. This is similar to permutations but with combinations order does not matter. With our line example, having the same six kids in alphabetical order is a different permutation than having it in backwards alphabetical order. With combinations, if you have those specific six kids, it is just one combination; the order does not matter.

The formula for combinations is [tex]\frac {n!}{r!(n-r)!}[/tex]. Let's plug in our numbers and solve for this.

[tex]_{8}C_{2}=\frac{8!}{2!(8-2)!} =\frac{8!}{2!(6!)}=\frac{40320}{1440} =28[/tex]

QUESTION 102

Quick note: 0! is equal to 1. I don't really know why but there's probably proof somewhere.

[tex]_{7}C_{0}=\frac{7!}{0!(7-0)!} =\frac{7!}{7!} =1[/tex]

And I believe you already have Question 103 figured out.

4!=4×3×2×1=24

Have a wonderful day! :D

Answer:

  yes

Step-by-step explanation:

Every polynomial has "all real numbers" in its domain. 5 is a real number, so is in the domain of f(x).

Answer:

) 3.3

2) 1.7

3) 8.8

4) -8.55

5) 3.22

6) 7.48

Step-by-step explanation:

Answer: a piecewise function is a function that is defined on a sequence of intervals.

Step-by-step explanation:

A piecewise function is a function that is "different" at different intervals.

The function may behave linearly between x = 0 and x = 10, and after that point, the function may be constant for a while, then change again.

This type of functions can be written as:

f(x) = g(x) if x1 ≤ x ≤ x2

f(x) = h(x) if x2 ≤ x ≤ x3

f(x) = k(x) if x3 ≤ x ≤ x4

and so on, where g(x), h(x) and k(x) are different functions, and those functions only act on the givenintervals: (x1, x2), (x2, x3) and (x3, x4)

Step-by-step explanation:

Hey, there!!

You can get your answer simply, just remember the two point formula,

Given, the points are (0,2),(8,8).

We have, Formula for two points is,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

Put all values here,

[tex](y - 2) = \frac{8 - 2}{8 - 0} (x - 0)[/tex]

[tex](y - 2) = \frac{6}{8} (x -0)[/tex]

[tex](y - 2) = \frac{3}{4} (x - 0)[/tex]

multiply (y-4) by 4 and (x-0) by 3.

[tex](4y - 8) = 3x[/tex]

Bringing 4y and -8 on same side of 3x.

[tex]0 = 3x - 4y + 8[/tex]

[tex]or \: 3x - 4y + 8 = 0[/tex]

Therefore, 3x-4y+8=0..... is the required equation.

Hope it helps..

Answer:

B The graph of g(x) is the graph of f(x) shifted to the right 6 unit

Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

[tex]f(x) =10^{x}[/tex]

[tex]g(x)=f(x-6)=10^{(x-6)}[/tex]

f(x)  shift right 6 units to get f(x-6)

Given that

g(x) = f(x-6)

Therefore graph of g(x) is the graph of f(x) shifted to the right 6 units

Hence, Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Learn more about Function here

https://brainly.com/question/12431044

#SPJ2

Answer:

2(x-5)

Step-by-step explanation:

the number will be ''x''

difference between the number (x) and 5 =

                 x-5

twice the difference is =

            2(x-5)

Answer:

5(3x)-7y^2.

5(3×3)-7(2×2).

45-28=17.

Answer:

B

Step-by-step explanation:

Answer:

6 1/4 cup of soda for one cup of pineapple

Step-by-step explanation:

2/ 5 of pineapple for every 2 1/2 cups of soda

1 cup of pine apple         ??

(2 1/2)/(2/5)

5/2 ÷2/5    ( when divide fraction,change ÷ to × and flip the fraction (reciprocal)

5/2×5/2=25/4   or  6 1/4

Answer:

the second one

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

Distance can be explained as the way to measure how far a thing or something is apart from each other numerically, it shows how close or far apart between two point

From the question, we are given two point

Point1= 12 feet

Point 2= 4 feet

Then Distance between the two point= 12feet-4feet

= 8feet

Hence the distance= 8 feet

Answer:

144

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

4[tex]\sqrt{2}[/tex] × 6[tex]\sqrt{18}[/tex]

= 4 × 6 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{18}[/tex]

= 24 × [tex]\sqrt{36}[/tex]

= 24 × 6

= 144

Answer:

25

Step-by-step explanation:

97-72= 25

Hope this helped!

Answer:

25

Step-by-step explanation:

97-72= 25

Answer:

100/250*100= 40%

Step-by-step explanation:

40%

2 1/2m = 250 cm

250cm .............100%

100cm ..................x%

x = 100cmx100%/250 cm

= 10000%/250

= 40%

Answer:

8x+2y+2

Step-by-step explanation:

First, write it out as it's given:

3y+2+3x-y+5x

Then, combine the x-terms first:

3y+2-y+8x

Next, combine the y-terms:

2+2y+8x

Answer:

Step-by-step explanation:

a = 1 m 60 cm = 1.6 m

b = 1 m 80 cm = 1.8 m

c = 2 m

perimeter = a + b + c = 1.6 + 1.8 + 2 = 5.4 m = 5 m 40 cm

★ AnsWer :

➨ 540 cm

★ Step by step Explaination :

Let triangle be ABC,

1m = 100 cm

[tex]\begin{lgathered}\bullet\:\:\textsf{AB = 1m 60cm = \textbf{160 cm}}\\\bullet\:\:\textsf{BC = 1m 80cm = \textbf{180 cm}}\\\bullet\:\:\textsf{CA = 2m = \textbf{200 cm}}\end{lgathered}[/tex]

[tex]\setlength{\unitlength}{1.5cm}\begin{picture}(6,8)\linethickness{0.5mm}\qbezier(1,.5)(2,1)(4,2)\qbezier(4,2)(2,3)(2,3)\qbezier(2,3)(2,3)(1,0.5)\put(.7, .3){$C$}\put(4.05, 1.9){$B$}\put(1.7, 2.95){$A$}\put(3.2, 2.5){\sf{160 cm}}\put(0.7,1.7){\sf{200 cm}}\put(2.7, 1.05){\sf{180 cm}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

[tex]\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}[/tex]

[tex]\begin{lgathered}\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}}=Sum\:of\:all\:sides\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = AB + BC + CA\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = 160 + 180 + 200\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Perimeter_{{\tiny\triangle ABC}} = 540 \:cm}}\end{lgathered}[/tex]

[tex]\therefore\:\underline{\textsf{Perimeter of triangle ABC is \textbf{540 cm}}}.[/tex]

Answer:

x = 80.4

Step-by-step explanation:

Step 1: Realize you have to use tangent to solve

[tex]tan()=\frac{o}{a}[/tex]

Step 2: Use tangent to solve

o = x

a = 300

[tex]tan()=\frac{o}{a} \\tan(15)=\frac{x}{300}\\x = 300tan(15)\\x = 80.4[/tex]

Therefore x is equal to 80.4 rounded to the nearest tenth

Answer:

Step-by-step explanation:

[tex]Opposite = x\\Adjacent = 300\\\alpha =15\\Using \: SOHCAHTOA\\\\Tan \alpha = \frac{Opposite}{Adjacent} \\\\Tan 15 =\frac{x}{300} \\\\2-\sqrt{3} = \frac{x}{300}\\\\ 2-\sqrt{3} \times 300=x\\\\80.384=x\\\\x = 80.4[/tex]

Answer:

B

Step-by-step explanation:

34-12=22

34+(-12)=22

+x- = -

+x+ = +

-×-= +

In 1 minute, bison runs 3520 feet

In 60 minutes, the bison would run

3520*60 feet

211200 feet per hour.

These are equivalent to;

40 miles per hour since 1 mile is equivalent to 5280 feet.

The bison is faster by 10 miles per hour

Answer:

Your value expression is 10

Step-by-step explanation:

We know that [tex]1\frac{1}{2}=\frac{3}{2}=1.5[/tex]

The value experssion:

Giving: [tex]\frac{9.5-3(1\frac{1}{2}) }{0.5}[/tex]

Change [tex]1\frac{1}{2}[/tex] into a whole number:  [tex]\frac{9.5-3(1.5)}{0.5}[/tex]

Multiply 3 into 1.5: [tex]\frac{9.5-4.5}{0.5}[/tex]

Divide: [tex]\frac{5}{0.5}[/tex]

Your answer equals: 10

Answer:

2.15 seconds

Step-by-step explanation:

Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function

f(t)= -16t² + 32t + 5.2 where t is in seconds.

Note that the value of the height at the point the ball is released from the hand is 0 feet.

To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;

f(t)= -16t² + 32t + 5.2

-16t² + 32t + 5.2 = 0

Multiply through by 10

-160t² + 320t + 52 = 0

Dividing through by -4

40t² - 80t - 13 = 0

t = 80±√80²-4(40)(-13)/2(40)

t = 80±√6400+2080/80

t = 80±√8480/80

t = 80±92.09/80

t = 80+92.09/80

t = 172.09/80

t = 2.15 secs

Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.

Answer:

m=5/6

Step-by-step explanation:

arrange all the "m's" at the left side and the numbers at the right side doing that we get

m-m+m=1-2/3+1/2

m=5/6

Answer:

-4x+26

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{8 {x}^{3} - {x}^{2} - 4x + 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(8 {x}^{3} - 3 {x}^{2} + x) + (2 {x}^{2} - 5x + 4)}[/tex]

When there is a ( + ) in front of an expression in parentheses , no need to change the sign of each term. That means , The expression remains the same. Also , remove the unnecessary parentheses

⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + x + 2 {x}^{2} - 5x + 4}[/tex]

Collect like terms

⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + 2 {x}^{2} - 5x + x + 4}[/tex]

⇒[tex] \sf{8 {x}^{3} - {x}^{2} - 4x + 4}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\frac{1}{6}\\[/tex]

Step-by-step explanation:

To find the probability, divide the number of desired outcomes by the total:

This will be 3/18, since there are 3 convertibles and there are 18 total cars

Simplify 3/18

= [tex]\frac{1}{6}[/tex]

Answer:

opens UP and has a minimum value.

Step-by-step explanation:

The given quadratic function opens UP (the branches of the associated parabola open up) because the coefficient that accompanies the leading term (leading coefficient) is positive.

Since the graph is a parabola with arms pointing up, the graph should have a minimum located at the vertex of the parabola.

Answer:

B.  all real numbers

Step-by-step explanation:

The domain is the values for the input

The values that x takes for this function is all real values

The Answer Is:

All Real Numbers