X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0

Answer:

a.The value of the van decreases by 20% each year since its purchase.

b.The value of the van decreases by 80% each year since its purchase.

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Step-by-step explanation:

From the above question, we are given the Exponential function

V(t)=10,000(0.8)^t

Verifying the given options:

a.The value of the van decreases by 20% each year since its purchase.

Option a is correct , this is because, the Exponential function above is and Exponential Decrease.

The formula is given as:

V(t) = 10000(1 - r) ^t

Where r = Decreasing rate

Comparing

= 1 - r = 0.8

= 1 - 0.8 = r

r = 0.2

Converting to percentage

= 0.2 × 100 = 20%

Option a is correct

b.The value of the van decreases by 80% each year since its purchase.

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option b is correct

c.The value of the van decreases by $2,000 each year since its purchase.

Option C is incorrect

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Option d is correct because

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option d is correct

e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Option e is incorrect

From the options given in the question, the correct statements are,

Options a, b, and d.

Answer:

34

Step-by-step explanation:

Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction), we solve what's in the parentheses first, so the expression looks like: 12 x 2 +10.

Then since there aren't any exponents, we solve the multiplication problem in the expression: 24 + 10.

Which just leaves addition, which gives us our answer: 34

Hope this helps!

Answer:

54.23

Step-by-step explanation:

i just divided in calculator

Answer:take numbers first, the Lcm is 24

Consider x, the highest power is 2

y, the highest power is 3

and z has 2 as its highest power.

:. The lcm is 24 x^2y^3z^2

Step-by-step explanation:

Answer:

this is me with another account, adding another anser just to mark you brainliest lol

Step-by-step explanation:

Answer:

$170

Step-by-step explanation:

every year she got $170 interested

Answer:

[tex]125a^{3}b^{2}[/tex]

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

lol can I pls get brainliest

Answer:

3(2+x)=0

Step-by-step explanation:

Here are some vocab words:

Product: Multiplication

Sum: Addition

"A number": x

3(2+x)=0

Answer:

All you do is replace the variable with the numbers given to replace them.

So your new equation is 10-4(2) this was given to you C=10 , D=2

Okay, let's solve it 10-4(2)

4*2 equals 8 so now it's 10-8

10-8

Answer:

yes it is a linear function

Step-by-step explanation:

Don't trust me but trust me-

Answer:

it's 70°

Step-by-step explanation:

well first by vertical angles we know that

[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)

and given we know that

[tex]\angle EAF = \angle EAD = 4x+6[/tex]

solving for x

we know that

[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]

and now for [tex]\angle EAF[/tex]

[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]

Answer:

The cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

Step-by-step explanation:

Let the cost of an order of large fries be [tex]\$ x[/tex].

Then, the cost of a hamburger is [tex]\$ x+\$1.15[/tex].

Bill bought two hamburgers and an order of large fries for a total of [tex]\$ 8.60[/tex].

So, [tex]2(x+1.15)+x=8.60[/tex]

[tex]\Rightarrow 2x+2.30+x=8.60[/tex]

[tex]\Rightarrow 3x=8.60-2.30[/tex]

[tex]\Rightarrow 3x=6.30[/tex]

[tex]\Rightarrow x=\frac{6.30}{3}[/tex]

[tex]\Rightarrow x=2.10[/tex]

So, the cost of an order of large fries is [tex]\$ 2.10[/tex].

And, the cost of a hamburger is [tex]\$2.10+\$1.15=\$3.25[/tex].

Hence, the cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].

Answer:

[tex]\frac{29}{110}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 63 placed after the decimal point

let x = 0.2636363.... ( multiply both sides by 10 and 1000 )

10x = 2.6363... → (1)

1000x = 263.6363.... → (2)

Subtracting (1) from (2) eliminates the repeating value, that is

990x = 261 ( divide both sides by 990 )

x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form

The number n = 0.263 as a fraction is A = 263/999

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n = 0.263

Now , the Let x = 0.263636363 repeating

Multiply both sides by 1000 to move the decimal point to the right:

1000x = 263.636363 repeating

Subtract x from both sides:

999x = 263

Divide both sides by 999:

x = 263/999

Hence , 0.263636363 repeating is equivalent to the fraction 263/999

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Answer: 3/16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

X(4x+x^2)

Step-by-step explanation:

First the LCM is x

Now just distribute

Answer:

|3+2|=5

Step-by-step explanation:

2x+1=5

2x+=-5

x=2

x=-3

a= -3, b=2

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Answer:

4x + 6y ...y cube

like y square y cube y3

Answer:

4x + 6y^3

Step-by-step explanation:

2x + x +x + 2y x 3y x y

4x + 6y^3

Answer:

(1,9)

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.

The solutions of the system are x = 0 and y = 2

I hope this helped, please mark me brainliest!

Step-by-step explanation:

y = 2x + 2 and y = 6x + 2

=> 2x + 2 = 6x + 2

=> 2x = 6x

=> 4x = 0, x = 0.

Therefore y = 2(0) + 2 = 2.

The point of intersection is (0, 2).

Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)

Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

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Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

Answer:

y-6=-2(x-6)

y-6=-2x+12

y= -2x+6

6 is the line crossing on the y axis (B from y=mx+b)

and -2/1 is slope so 2 below and 1 right HOPE THIS HELPED

Step-by-step explanation: (IDC ABOUT THE THINGY HERE :D)

Answer:

0.75 per bagel

Step-by-step explanation:

$3.00 divided by 4 bagels is 0.75 cents for a bagel

Answer: it would be 24.8ft

Answer:  p=122

Step-by-step explanation:

Answer:

P = 112⁰

see in the picture, MNPQ is a parallelogram

=> M = P

<=> 6x - 2 = 4x + 36

<=> 2x = 38

<=> x = 19

with x = 19 => P = 4.19 + 36 = 112⁰