An algebra I student solved the following inequality.if their work is correct draw a smiley face.if not, circle the error and explain your reasoning

Answer:

Points

Step-by-step explanation:

Answer:

[tex]g(x) = {3}^{x - 2} - 7[/tex]

Step-by-step explanation:

As we can see, the graph of transformation of f(x) is translated to the right and down.

then, g(x) = f(x - a) - b, where a & b > 0.

from the options, there are 4 translated function of f(x).

but on the second option

[tex] {3}^{x + 7} - 2 = {3}^{x - ( - 7)} - 2[/tex]

a < 0, then it's not the answer we need, same as third option that makes only first and fourth left.

from the picture, horizontal asymptote of f(x) is y = 0.

on g(x) horizontal asymptote is y = -b, where -10 < -b < -5.

and from the options that are left, we can see only fourth option that satisfies what we need.

Answer:

x=45/75

Step-by-step explanation:

(1+2/3)/x= 2+7/9

5/3x=25/9

5*9= 3x*25

45=75x

x= 45/75 orx=0.6

Answer:

Step-by-step explanation:

Answer:

$150,000

Step-by-step explanation:

The first step is to calculate the total number of units

= 2 +1 +2

= 5

If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows

= 30,000 × 5

= 150,000

Hence the promoter spends $150,000 on advertising

Answer: ok the answer is 42

Step-by-step explanation: so q = 17 right? and 25 = Y

so i think you add then you get 42...right? i might not get the right answer

but what letter is this i don't know this symbol or lettter: π

Answer:

12-14i

Step-by-step explanation:

[tex](-1-3i)(3+5i)\\\\=-1(3)-1(5i)-3i(3)-3i(5i)\\\\=-3-5i-9i-15i^2\\\\= -3-14i-15i^2\\\\[/tex]

here we know that i^2=-1

[tex]=-3-14i-15(-1)\\\\=-3-14i+15\\\\=12-14i[/tex]

Complete question :

Victor left his house riding his bike at a speed of 18 km/h. When Victor was 1/2 km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?

Answer:

0.083333 or 5 minutes

Step-by-step explanation:

Victor's speed = 18 km/hr

Alex's speed = 24 km/hr

Alex left after Victor has moved a distance of 1/2 km

Time Alex will catch up with Victor :

Let time = x

distance at which Victor = Alex

(18 * x) + 0.5 = (24 * x)

18x + 0.5 = 24x

18x - 24x = - 0.5

-6x = - 0.5

x = 0.5 / 6

x = 0.0833333 hour

x = 0.0833333 *60 = 5 minutes

Answer:

5 min

Step-by-step explanation:

Answer:

B,D,E for sure

Step-by-step explanation:

Not A because a parabola looks different. Not sure about C.

Answer:

Step-by-step explanation:

Answer:

27f + 59

Step-by-step explanation:

Answer:

Slope m = 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept] y = 4x - 1

Step 2: Break Function

Identify Parts.

Slope m = 4

y-intercept b = -1

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

Answer:

Step-by-step explanation:

3rd one

Answer: 6.5%

Step-by-step explanation:

In 6 years the interest earned is:

= 2,780 - 2,000

= $780

The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:

= 780/6

= $130

Simple interest rate = Interest payment/ Deposit

= 130/2,000

= 6.5%

Answer:

0.4

Step-by-step explanation:

The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 1/3 ÷ 3/4.

Here the operation is division.

So 1/3 of something is divided in to 3/4 parts.

Let a total amount of something be 1/3 units.

Suppose you have to divide it into 3/4 parts.

Then this expression can be used.

Let the total amount of apple pie left is 1/3 part of the total.

You have to divide t into 3/4 parts.

Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.

Learn more about expressions here :

https://brainly.com/question/13015660

#SPJ3

Answer:

Angle A = 15

Angle B: 105

Step-by-step explanation:

Angle A and 75° add up to 90°

75 + x = 90

x = 90 - 75

x = 15

Angle B and 75° add up to 180°

75 + x = 180

x = 180 - 75

x = 105

Answer:

3(a)+2(o)=14

3(a)+2(o)=34

3(4)+2(1)=14

3(8)+2(5)=34

Step-by-step explanation:

4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.

Answer:

-3

Step-by-step explanation:

the slope is 2 so add 2 to -5 (because its only one number lower than 0) and you get your answer

Answer:

x is 5

ST is 45

Step-by-step explanation:

In the given figure

∵ m is the bisector of the segment SU

→ That means m intersects SU at the midpoint of SU

∵ m ∩ SU at point T

∴ T is the midpoint of SU

→ The midpoint of a segment divides it into two equal parts

∵ The point T divides SU to ST and TU

∴ ST = TU

∵ ST = 9x

∵ TU = 4x + 25

→ Equate them

∴ 9x = 4x + 25

→ Subtract 4x from both sides

∵ 9x - 4x = 4x - 4x + 25

∴ 5x = 25

→ Divide both sides by 5

∴ x = 5

→ Substitute the value of x in ST

∵ ST = 9(5) = 45

∴ ST is 45

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years

Answer:

y=85x

Step-by-step explanation:

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

Answer:

40 miles is her goal.

Step-by-step explanation:

The problem says that 24 miles is 60% of her goal for that month.

You cab make a proportion with x being the goal for the whole month.

24/x = 6/10

You cross multiply and get:

6x = 24 x 10

6x = 240

x = 40

40 miles is the answer.

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:

= 3 × 2 = 6

The 3rd side is 6 more than the 2nd side. The 3rd side will be:

= 6 + 6 = 12

The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:

= 3 + 6 + 12

= 21

The sides are:

1st side = 3

2nd side = 6

3rd side = 12.

Answer:

197

Step-by-step explanation:

Given that :

Weight of crate = 80kg

Greatest weight container can load = 25000 kg

Weight of other shipments on container = 9200kg

Greateat Number of 80kg crates = c

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

9200 + (80 * c) ≤ 25000

9200 + 80c ≤ 25000

80c ≤ 25000 - 9200

80c ≤ 15800

c ≤ 15800 / 80

c ≤ 197.5

Hence, maximum number of 80kg crate is 197

The inequality which can be used to determine c will be "[tex]9200 + 80c \leq 25000[/tex]". A complete solution is below.

Given values are:

Crates' weight,

Greatest weight container,

Other shipments' weight

Let,

Now,

As we know the formula,

→ [tex]Other \ shipments' \ weight + (Crates' \ weight\times Number \ of \ crates) \leq Greatest \ weight \ container[/tex]By substituting the values, we get

→   [tex]9200 + (80\times c) \leq 25000[/tex]

→          [tex]9200 + 80c \leq 25000[/tex]

Thus the above response is right.

Learn more:

https://brainly.com/question/22154354

Answer:

A is not a ratio

Step-by-step explanation:

Answer:

A. - (1,2)

Step-by-step explanation:

We can represent the ratio as a fraction (like in C.), by using the preposition "to" just like in D, and by using a ":" sing just like in number B. So that leaves us with only one option which is A.

An

$52

Step bro

suck it

Answer:

52$

Step-by-step explanation:

Divide for the unit price of 1 book.

You get $52