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Match the symbol to the meaning f(x) \rightarrow -\infty Answer 1 x \rightarrow a^- Answer 2 x \rightarrow -\infty Answer 3 x \r

Helen [10]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the key terms

$\begin{gathered} f(x)\Rightarrow o\text{utput} \\ \rightarrow\Rightarrow approaches \\ a\Rightarrow a \\ \infty\Rightarrow\text{ infinity} \\ -\infty\Rightarrow\text{negative infinity} \end{gathered}$

STEP 2: Match the symbol to the meaning

Hence, the correct meaning matching will be:

$\begin{gathered} f(x)\rightarrow-\infty\Rightarrow\text{the output approaches negative infinity} \\ x\rightarrow a^-_{}\Rightarrow x\text{ approaches a from the }left \\ x\rightarrow-\infty\Rightarrow x\text{ approaches negative infinity} \\ x\rightarrow a^+\Rightarrow x\text{ approaches a from the right} \\ x\rightarrow\infty\Rightarrow x\text{ approaches infinity} \\ f(x)\rightarrow a\Rightarrow the\text{ output approaches a} \\ f(x)\rightarrow\infty\Rightarrow the\text{ output approaches infinity} \end{gathered}$

4 0

1 year ago

I HAVE 2 MORE QUESTIONS AFTER THIS 20 POINTSSS!

ioda

Answer:

Step-by-step explanation:

you have to do 49000 - 8200 which is 40800, and in scientific notation, that is 4.08 * 10^4

3 0

3 years ago

Read 2 more answers

Help me asap please!

sveta [45]

Answer:

Earths moon:

Scientific: 7.35x10^22

Standard:73500000000000000000000

for the rest im only going to give you the scientific method

Mercury: 3.205x10^23

Venus 4.867x10^24

Jupiter 1.898x10^27

Saturn 5.683x10^26

Uranus 8.681x10^25

Neptune 1.024x10^26

Phobos 10.6x10^15

Ariel 1.27x10^21

Titan 1.3452x10^23

I hope this helps

4 0

3 years ago

Javier begins to save for a new bicycle that costs $415. He already has $140 and plans to save $25 per week. Let w represent the

MrRa [10]

Answer:

It will take 11 weeks of saving to buy the bicycle

Step-by-step explanation:

The Total amount he has saved for the bicycle can be expressed as;

Total amount saved=Initial amount he has+(savings per week×number of weeks)

where;

Initial amount he has=$140

Savings per week=$25

Number of weeks=w

Total amount saved=s(w)

replacing;

s(w)=140+(25×w)

The equation to get the total amount he has saved is;

s(w)=25 w+140....equation 1

Equation 1 above is a linear equation which can be written in the form;

y=mx+c

where;

y=s(w)

m=slope=25

x=the variable=w

c=y-intercept:the value of s(w), when w=o

s(w)=(25×0)+140=140

a). slope=25, y-intercept=140

b). Linear function is one of the form y=mx+c as explained above;

In our case, the linear function will be:

s(w)=25 w+140

c). Now that we have the function s(w)=25 w+140

In order to save to buy the bicycle;

we equate

s(w)=415 and solve for w;

415=25 w+140

25 w=(415-140)

25 w=275

w=275/25

w=11

It will take 11 weeks of saving to buy the bicycle

8 0

4 years ago

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

8 0

3 years ago

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