The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?
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C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

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Answer:

a

Step-by-step explanation:

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

Answer:

Rise over Run

Step-by-step explanation:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

nice :) good for u, wish i could just say that straight up lol

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

2.007;2.07;2.09;2.714;2.741

Step-by-step explanation:

2.007 is the least and 2.741 is the greatest

Answer: 2.007, 2.07, 2.09, 2.714, 2.741

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

Answer:

C) 11.4

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

Equation: 5b + 7 = 3

Step-by-step explanation:

Unknown number = b

5 times of number = 5b

Sum of 5b and 7 = 5b + 7

Equation;

5b + 7 = 3

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer: y+7= 3(x-5) C

Step-by-step explanation:

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

add them together

Answer:

The answer is [tex]4.5^7[/tex]

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

Answer:

3rd one

Step-by-step explanation:

The range of a function is the set of output values the function can take

The graph that represents the range [tex]-4 \le y \le 3[/tex] is graph (b)

The range of the function is given as:

[tex]-4 \le y \le 3[/tex]

The above inequality can be rewritten as:

[tex][-4,3][/tex]

This means that,

The graph that represents this range is graph (b)

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Answer:

100,000 ÷ 1.25

100,000/1.25

80,000/1

80,000

The unit cost of the piece of land is 80,000 per hectare

Step-by-step explanation:

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

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Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

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Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

Answer:

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2