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2 years ago

I need help with finding the limit for problem #1. I've already solved 2-4 I just don't get the first one.

Mathematics

1 answer:

emmainna [20.7K]2 years ago

7 0

Answer: 9

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Look at the graph of f(x). Locate x = 3 on the graph and move to the left of that location. If you get closer and closer to x = 3 from the left side, then you approach y = 3

Do the same for g(x) as well. If you approach x = 3 from the left, then you approach y = 3. It does not matter there is a discontinuity here as we're only worried about approaching x = 3 from the left and not actually getting to that specific x value.

We multiply those y values to get 3*3 = 9 as the answer

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A paper company needs to ship paper to a large printing business. The paper will be

Tcecarenko [31]

Answer:

10 small boxes and 12 large boxes

Step-by-step explanation:

Let x = number of large boxes

Let y = number of small boxes

We are told that;

volume of each small box = 6 cubic feet

volume of each large box = 22 cubic feet.

Total volume = 324 ft³

Thus;

6x + 22y = 324 - - - (eq 1)

We are told that 22 boxes of paper were shipped.

Thus; x + y = 22 - - - (eq 2)

Making x the subject in eq 2 gives;

x = 22 - y

Put 22 - y for x in eq 1;

6(22 - y) + 22y = 324

132 - 6y + 22y = 324

16y = 324 - 132

16y = 192

y = 192/16

y = 12

So, x = 22 - 12 = 10

6 0

2 years ago

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to

kotykmax [81]

3 number of days are given form different activities of sales and purchase.

Day 2:

Earnings : $16

Spendings : $7.

Day 3:

Earnings : $22

Spendings : $12.

Please note: We always add the Earnings and Subtract the Spendings.

Therefore, the expression can be used to model the situation for these 2 days as

First day earning - First day spendings + Second day earning - Second day spendings

16-7 + 22 -12.

In order to write the expression as adding the additive inverse, we need to factor out minus from second group by making expression into two groups.

We will write two positive numbers in first group and two negative numbers in second group.

(16+22) + (-7-12).

Factoring out minus sign from second group, we get

(16+22) - (7+12)

This expression in additive inverse form now.

7 0

2 years ago

Read 2 more answers

What is the opposite of 1/8 not 1/4

marta [7]

The answer is 8 by itself i think

3 0

2 years ago

Read 2 more answers

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

1 year ago

Solve: -18 = -3x + 6

Stella [2.4K]

Let's start by moving all like terms to their own sides:

-18 = -3x + 6

3x = 6 + 18

3x = 24

x = 8

8 0

2 years ago

Read 2 more answers