Order these from biggest to smallest output.

Answer:

a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8

Step-by-step explanation:

The given exponential functions are;

2ˣ, 3·2ˣ, and  [tex]2^{3 \cdot x}[/tex]

Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]

From the table for investigating the dilations of exponential function, we have;

a = f(0) = 2⁰ = 1

b = h(0) = 3·2⁰ = 3 × 1 = 3

c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1

d = f(1) = 2¹ = 2

e = h(1) = 3·2¹ = 3 × 2 = 6

f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.

Answer:

64x³+4

-------------

2x-1

Step-by-step explanation:

I hope this helps. :)

Answer:

Answer:

Tens

PART B: 18

PART C: 24

Step-by-step explanation:

Answer:

8f + 2t = $135 - - (1)

6f + 4t = $110 - - (2)

$16

Step-by-step explanation:

Given that:

f = dog food

t = dog treat

8f + 2t = $135 - - (1)

6f + 4t = $110 - - (2)

From (1)

4f + t = 67.5

t = 67.5 - 4f

Put t = 67.5 - 4f in (2)

6f + 4(67.5 - 4f)= 110

6f + 270 - 16f = 110

-10f = 110 - 270

-10f = - 160

f = 16

One bag of dog food = $16

Answer:

l

Step-by-step explanation:

...sorry by any chance if the answer is wrong

10.5 X 2 = 21

2/3 = 0.666666667

Answer:

Step-by-step explanation:

The equation of any line parallel to the y axis is y = y₀

where y₀ is the y-coordinate of any point from the line

(and the y-intercept of the line)

Answer:

Its D

Step-by-step explanation:

Espero que tengas un gran día amigo

Answer:

b = -1

Step-by-step explanation:

-8b + 4 + 20b = -6b - 14

12b + 4 = -6b - 14

18b + 4 = -14

18b = -18

b = -1

Answer:

The function intercepts the x and y axis in the same spot, namely (0,0)

Answer: C) 10cm

Step-by-step explanation:

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

Answer:

26

Step-by-step explanation:

1 batch is 1/4 cups of cranberries.

This means that we have to find the number of groups of 1/4 in  6 1/2 cups to find the number of batches.

(The decimal forms of these numbers are 6.5 and 0.25)

6.5/0.25=26

There are 26 batches

Answer:

m-3.2

Step-by-step explanation:

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Step-by-step explanation:

T

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

The second question:

Consider the division expression [tex]7\frac{1}{2} / 2[/tex]. Select all multiplication equations that correspond to this division expression.

[tex]2 * ? = 7\frac{1}{2}[/tex]     [tex]7\frac{1}{2} * ?= 2[/tex]     [tex]? * 2 = 7\frac{1}{2}[/tex]

[tex]2* 7\frac{1}{2} = ?[/tex]    [tex]? * 7\frac{1}{2} = 2[/tex]

Answer:

1. See Explanation

2. [tex]2 * ? = 7\frac{1}{2}[/tex]     and     [tex]? * 2 = 7\frac{1}{2}[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex]Students = 60[/tex]

[tex]Group = Equal\ Sized[/tex]

Required

Interpret [tex]\frac{60}{5}[/tex] in 2 ways

Interpretation 1: Number of groups if there are 5 students in each

Interpretation 2: Number of students in each group if there are 5 groups

Solving the quotient

[tex]Quotient = \frac{60}{5}[/tex]

[tex]Quotient = 12[/tex]

For Interpretation 1:

The quotient means: 12 groups

For Interpretation 2:

The quotient means: 12 students

Solving (b):

Given

[tex]7\frac{1}{2} / 2[/tex]

Required

Select all equivalent multiplication equations

Let ? be the quotient of t [tex]7\frac{1}{2} / 2[/tex]

So, we have:

[tex]7\frac{1}{2}/2 = ?[/tex]

Multiply through by 2

[tex]2 * 7\frac{1}{2}/2 = ? * 2[/tex]

[tex]7\frac{1}{2} = ? * 2[/tex]

Rewrite as:

[tex]? * 2 = 7\frac{1}{2}[/tex]  --- This is 1 equivalent expression

Apply commutative law of addition:

[tex]2 * ? = 7\frac{1}{2}[/tex]  --- This is another equivalent expression

Answer:

It decreased by $14,840 and the current value is $197,160

Answer:

20

Step-by-step explanation:

Given :

Length = l

Width = w

Area of square = 45

Let side of square = x

Area of square = x²

45 = x²

√45 = x

l of rectangle = x + 5 = √45 + 5

w of rectangle = x -5 = √45 -5

Area of rectangle= l * w

Area = (√45 + 5) * (√45 - 5)

Area = 45 - 5√45 + 5√45 -25

Area = 45 -25

Area of rectangle = 20

Answer:

two plus two equals 4

2 +2 = 4

Answer:

4

Step-by-step explanation:

when you do 2+2 you get 4

Answer: See explanation

Step-by-step explanation:

m∠A and m∠O are alternate interior angles so they're congruent.

m∠A = m∠O

m∠A = 65°

AM and SO are congruent sides

AM = SO

AM = 86

m∠S and m∠M are alternate interior angles so they're congruent.

m∠S = m∠M

m∠S = 60°

ON and NA are congruent sides.

ON = NA

ON = 75

m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°

m∡SNO + m∠S + m∠O = 180°

m∡SNO + 60 + 65 = 180

m∡SNO + 125 = 180

Subtract both sides by 125

m∡SNO = 55°

Hope that helped!

Answer:  B) -$75.00

========================================================

Explanation:

Draw a vertical number line. Plot 40 on this line. Then move down 85 units to arrive at 40-85 = -45. The negative indicates that you're in debt.

Then move down another 30 due to the overdraft fee and we have -45-30 = -75 as the bank balance.

-------------------

Put another way:

Start at $40. If you spend $40, then your balance is $0. You need to spend another $45 to get all of the groceries (since the grocery bill is 40+45 = 85 dollars). That's where the -45 comes from, to indicate you're 45 dollars in debt. This is before the overdraft fee kicks in. Adding on that fee gets a total debt of 45+30 = 75 dollars. So that's why the final balance is -75 dollars.

Answer:

-16

Step-by-step explanation:

The equation for a slope is rise/run. You know from the question that the slope is -4/5 in its simplest form. However, the run in its original form is 20.

So if the run is 5 in its simplest form, but 20 in its original form, then this means the slope must have been simplified by dividing both the original rise and the original run by 4, because 20/4 = 5.

That also means we can find out the original rise by doing the inverse of what we did above. We can multiply the rise in its simplest form by 4 to get the original. That gives us -16 (because -4*4 = -16).

Answer:

Step-by-step explanation:

j+28.6=43

-28.6    -28.6

_________________

j=14.4

Hope this helps :>

Answer:

i) 15x+10

ii) 15x+6

iii) 15x+15

iv) 15x+75

v)15x^2+x

Step-by-step explanation:

you have to substitute the number outside the brackets to all the variables inside by multiplying.

(^) means power.

Answer:

1 hour and 30 minuets

Step-by-step explanation:

Answer:

-41

Step-by-step explanation:

Answer:

I think it would be A

Step-by-step explanation:

Answer:

15+4.50x,    12.50+5x

Step-by-step explanation: