Given that[Image Displayed] What is the value of f(x) when x = 2?

a.
2.5
c.
1
b.
2
d.
0.5

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

The arithmetic sequence using a Recursive Formula is defined as

aₙ = a₍ₙ₋₁₎+2

A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.

Given that, Arithmetic Sequence defined by a Recursive Formula:

aₙ = -8 + 2(n - 1)......(i)

The explicit formula of an AP is

aₙ = a₁ + (n-1)d

Comparing the equations, we get,

a₁ = -8 and d = 2

Now, the recursive formula of an AP is

aₙ = a₍ₙ₋₁₎ +d

Put d = 2,

aₙ = a₍ₙ₋₁₎ +2

Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2

For more references on the Recursive Formula, click;

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Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

Answer:

A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P

Step-by-step explanation:

A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.

The symbol is q arrows going both ways (⇔) p

Hope this helps!!

Answer:

A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP

Step-by-step explanation:

Answer:

18 numbers

Step-by-step explanation:

These are all the two digit numbers with at least one 7.

17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97

Answer:

0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.

Answer:

3.3 Pound

Step-by-step explanation:

in this problem we have to convert kilogram value to its equivalent pound value.

we know

1 KG = 2.205 Pound

since we have to find value of 1.5 kg

we multiply both LHS and RHS by 1.5

1 * 1.5 KG = 2.205 * 1.5 Pound

=> 1.5 KG = 3.307 Pound.

Since , in option value is rounded to 1 decimal place,

hence correct choice is 3.3 Pound

Answer: D. (x+5)/(x-3)

Step-by-step explanation:

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex]

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it [tex]x\in {R-3}[/tex]

Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]

[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.

Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]

Hence, Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex] is for option D.

Answer:

OPTION D IS NOT CORRECT.

i took the test & selected D and it was wrong.

THE CORRECT ANSWER IS C.

Step-by-step explanation:

Answer:

22.4 litres

Step-by-step explanation:

Reaction:

2Mg (s) + O2 (g) → 2 MgO (s)

From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2

STP conditions mean:

Using the equation of state for ideal gases:

PV = nRT

where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:

V = nRT/P

V = 1*0.082*273.15/1

V = 22.4 litres

Answer:

2) [tex]\frac{1}{4} c[/tex]

3/4 of the cyclists did not finish, thus 1/4 did.

3) [tex]59-t[/tex]

56 people were on the bus.  3 people got on(56+3=59).  Then t people got off(-t)

4) [tex]\frac{G}{30}[/tex]

Out of 30 people, g of the are girls

5) [tex]\frac{16}{c}[/tex]

Out of c people, 16 are boys

Hope it helps <3

Answer:

x² + x - 20

Step-by-step explanation:

Step 1: Expand using FOIL

x² + 5x - 4x - 20

Step 2: Combine like terms

x² + x - 20

[tex](x-4)(x+5)=x^2+x-20[/tex]

Hope this helps.

Answer:10

Step-by-step explanation:subtract 10, divide by 2, then do sqrt of 100

Answer:

177.8cm

tell me if it's right :)

Step-by-step explanation:

Answer:

y^12/5

Step-by-step explanation:

(9x^(5)y^(16))/(45x^(5)y^(4))

y^12/5

Answer:

$25

Step-by-step explanation:

95+30= 125

125/5= 25

You gave us the speed and the frequency, and you need the wavelength.

You were also nice enough to remind us that (fqy)x(lng) = speed.

So . . . F x W = 343 m/s

Divide each side by F :

W = (343 m/s) / F

W = (343 m/s) / (240 / s)

W = (343/240) m

W = 1.429 meters

Answer: a

Step-by-step explanation:

if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.

The y- values as the negative x- values get closer to zero is they decrease the correct option is B.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The function= y = 10/x^2

Now,

As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.

For example, if we substitute x = -2 into y = 10/x^2, we get:

y = 10/(-2)^2 = 10/4 = 2.5

If we substitute x = -10 into y = 10/x^2, we get:

y = 10/(-10)^2 = 10/100 = 0.1

Therefore, by the graphed function the answer will be they decrease.

Learn more about finding the graphed function here:

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Answer:

This is true

Step-by-step explanation:

because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function

Answer:

x = 4

Step-by-step explanation:

We would like to find the value of x such that:

2x + 1 = (8x + 5) + 20

Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.

Now, we simply solve for x:

2x + 1 = 8x + 5 + 20

2x + 1 = 8x + 25

6x = 24

x = 4

The answer is thus 4.

~ an aesthetics lover

Answer:

x = -4.

Step-by-step explanation:

The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.

2x + 1 = 8x + 5 + 20

2x - 8x = 25 - 1

-6x = 24

x = -4

Hope this helps!

Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.

Step-by-step explanation:

Here you must remember the relation:

Speed = distance/time.

So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.

We know that:

Sa = Sb + 12mph.

and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:

Sa*T = 141mi

Sb*t = 105mi

we can take the quotient of those two and get:

(Sa/Sb) = 141/105.

now we can replace Sa by Sa = Sb + 12mph.

(Sb + 12mph)/(Sb) = 141/105.

Sb + 12mph = (141/105)*Sb

Sb*(141/105 - 1) = 12mph

Sb = 12mph/(141/105 - 1) = 35mph.

and we know that:

Sa = Sb + 12mph = 35mph + 12mph = 47mph.

Answer:

Step-by-step explanation:

You can ask me ıf you don't understand :)

Answer:

Option 1.

Step-by-step explanation:

Note: In second inequality "<x" is missing after 5.

Consider the given inequalities are

[tex]y-x>-4[/tex]

[tex]2y-5<x[/tex]

If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).

Substitute x=2 and y=3 in the above inequalities and that should be true.

[tex]3-2>-4\Rightarrow 1>-4[/tex] True

[tex]2(3)-5<2\Rightarrow 1<2[/tex] True

Therefore, the correct option is 1.

Answer:

Hey there!

Given Equation

4a-5=3

Add 5 on both sides

4a=8

Divide by 4 on both sides

a=2

Hope this helps :)

Answer:

Step by step explanation

4a - 5 = 3

Add 5 on both sides:

4a - 5 +5 = 3 + 5

Simplify

4a = 8

divide both sides by 4

4a/4 = 8/4

Simplify

a = 2

Hope this helps...

Good luck on your assignment..

Answer:

The measure of the angle will be 25°

Step-by-step explanation:

when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.

Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).

The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°.  we will get 310. The angles will be 310/2 = 155°.  Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.  

Answer:

25 degrees

Step-by-step explanation:

justt trust me

Answer:

you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.

Answer:

.52

Step-by-step explanation:

its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52

Answer:

.74

Step-by-step explanation:

On edge

Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

The correct option is D

D) the height of the rock 3.2 seconds after it is propelled

Question:

The question is incomplete as it doesn't say what to find. I know that whole question which is given below

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?

A) the height of the rock 3.2 seconds before it reaches the ground

B) the time it takes the rock to reach the ground, or 3.2 seconds

C) the time it takes the rock to reach a height of 3.2 meters

D) the height of the rock 3.2 seconds after it is propelled

Solution:

h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.

Answer:

see below

Step-by-step explanation:

mROP= 125°

mSOQ= mROP= 125°

mROQ=mPOS= 180°-125°= 55°

Sum of measures of all arcs in the circle= 2π

mRP= mQS=2π*125/360=25/36π

mQR=mPS=2π*55/360=11/36π

mPRQ= half circle= 2π/2= π

mRPQ= 2π-mQR= 2π- 11/36π= 61/36π

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.