To get the 10% discount, a shopper must spend more than $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount

Answer:

gg

Step-by-step explanation:

An exponential function is represented as: [tex]\mathbf{f(x) = ab^x}[/tex]

The value of f(1) is 3.95

f(-2) = 1 means that:

[tex]\mathbf{ab^{-2} = 1}[/tex]

f(7) = 63 means that:

[tex]\mathbf{ab^{7} = 63}[/tex]

Divide both equations

[tex]\mathbf{\frac{ab^7}{ab^{-2}} = \frac{63}{1}}[/tex]

Apply law of indices

[tex]\mathbf{b^9 = 63}[/tex]

Take 9th root of both sides

[tex]\mathbf{b =1.58}[/tex]

Make a, the subject in [tex]\mathbf{ab^{-2} = 1}[/tex]

[tex]\mathbf{a = \frac{1}{b^{-2}}}[/tex]

[tex]\mathbf{a = b^2}[/tex]

Substitute [tex]\mathbf{b =1.58}[/tex]

[tex]\mathbf{a = 1.58^2}[/tex]

[tex]\mathbf{a = 2.50}[/tex]

So, we have:

[tex]\mathbf{f(x) = ab^x}[/tex]

[tex]\mathbf{f(x) = 2.50 \times 1.58^x}[/tex]

Substitute 1 for x

[tex]\mathbf{f(1) = 2.50 \times 1.58^1}[/tex]

[tex]\mathbf{f(1) = 3.95}[/tex]

Hence, the value of f(1) is 3.95

Read more about exponential functions at:

https://brainly.com/question/3127939

Hey there!

5x - 50 + 2x + 80 - x = 180

COMBINE the LIKE TERMS

= 6x + 30 = 180

SUBTRACT 30 to BOTH SIDES

6x + 30 - 30 = 180 - 30

CANCEL out: -30 - 30 because that gives you 0

KEEP: 180 - 30 because it helps solve for the x-value

6x = 180 - 30

180 - 30 = 150

NEW EQUATION: 6x = 150

DIVIDE 6 to BOTH SIDES

6x/6 P 150/6

CANCEL out: 150/6 because that gives you the result of the x-value

x = 150/6

SIMPLIFY IT!

x = 25

Therefore, your answer is: x = 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

12.2

the answer is 12.2

using the check method

you will know I am correct

Answer:

a=54 b=57 AB=246. This is the best answer ever!!!

Answer:

it's c

Step-by-step explanation:

c is the answer becuse its showing u that ob is perpenlicular to Ac

Answer:

2 in each car. Simple.

Step-by-step explanation:

Answer: it’s two cause 20 divided by 10 is 2.

The sum of the two numbers = -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Let x represent the first negative number

Let y represent the second negative number

x   +  y   =   -12.6

To make the above equation to be true, assume a value f x that is negative but greater than -12.6

Let x = -8.6

Substitute x = -8.6 into the equation x + y = -12.6

-8.6  +  y   =  -12.6

Add 8.6 to both sides of the equation

-8.6  +  8.6  +  y   =  -12.6  +  8.6

y   =  -4

As a proof:

-8.6  -  4   =   -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Learn more here: https://brainly.com/question/2326415

Answer:

x=3

Step-by-step explanation:

Answer:

338.64

Step-by-step explanation:

Multiply 408 by .83 and get 338.64.

Step-by-step explanation:

please mark me as brainlest

Answer: sqrt 91

Step-by-step explanation:

We can substitute in y here as 30, so that 60+102=2x^2

182=2x^2

In the order of operations, it states that exponents comes before multiplication

91=x^2

So x will be the square root of 91

2+2x3+6=18

That happens nobody answers your question for a period of time, and so it is taken down and you get the points back

Answer:

The answer is 14

Step-by-step explanation:

Also it shows that when no one answers a question of yours.

Answer:

Step-by-step explanation:

Answer:

14 red crayons

Step-by-step explanation:

since we already know the ratios of the crayons we are going to use ratio and proportion to solve our question B:R is 32:28 and they are directly proportional meaning we can scale the quantities by multiplying.32:28 and 16:R , r is the unknown quantity ,then we cross multiply  the 2 ratios to get 32R= 448, then we divide by32 both sides so we can remain with the value of R which is 14

Answer: 16lbs

Step-by-step explanation: CCC=Chocolate Chip Cookie; WCC=White Chocolate Cookie.

Set up a table showing the pricing ($/lb) and pounds (lbs) for both cookies. The total value of the WCC is $23.8 ($5.95/lb x 4 lbs). The value of the CCC is 6.95x, where x is the lbs CCC.

CCC WCC

6.95 5.95 $/lb

x 4 lbs

6.95x 23.8 $ Total value [$/lb * lbs]

We want x lbs of CCC cookies such that the total value of cookies divided by the total number of lbs is equal to $6.75/lb. That can be written as:

(6.95x + 5.95*4)/(x+4) = 6.75 [Total value of cookies divided by total weight equals $6.75]

(6.95x + 23.8)/(x+4) = 6.75

6.95x + 23.8 =6.75x + 27

0.2x = 3.2

x = 16 lbs

We need 16 lbs of CCC added to the 4 lbs of WCC for a total weight of 20 lbs and a price of $6.75/lb.

Answer:

5 packages of water and 3 packages of cheese sticks

Step-by-step explanation:

the least common multiple of 6 and 10 is 30

Answer:

F(x)=IxI

Step-by-step explanation:

Answer:

X= 15, m∠78°

Step-by-step explanation:

Since the angles are vertically opposite

Therefore their measurements are equal

Therefore (2x + 48 ) = (5x + 3 )

So,

[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]

[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]

They both equal 78°

Answer:

2x - 20 + 7 = x - 1

2x - 13 = x-1

2x = x+12

x = 12

Answer:

Read explanation

Step-by-step explanation:

First you put a point on (0,5).  Then you perform rise/run which is the slope.  The slope is 2.  So from (0,5) you go up 2 and to the right one and make another point.  You then use a ruler and draw a line connecting them and put arrows at the end.  

Answer:

110/5=2

2,5.5=15

2+15=17

Step-by-step explanation:

Answer:

Where is your attachment ?

Answer:

c

Step-by-step explanation: