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3 years ago

QUICK !! What is the image point of (2,-7) after a translation right 4 units and up 3 units ?

Mathematics

2 answers:

Paul [167]3 years ago

6 0

Answer:

(6, - 4)

Step-by-step explanation:

A translation of 4 units right is equivalent to adding 4 to the x- coordinate

A translation of 3 units up is equivalent to adding 3 to the y- coordinate

(x, y) → (x + 4, y + 3) ← translation rule

Hence

(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)

Anon25 [30]3 years ago

5 0

Anwser: (−2,−7)→(−2+4,−7−2)=(2,−9)

Explanation: {right 4 units: add 4 to x-coordinate}

down 2 units: subtract 2 from y-coordinate

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Find a formula for the inverse of the function. f(x) = e^6x − 9

STatiana [176]

Answer:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

Step-by-step explanation:

So we have the function:

$f(x)=e^{6x}-9$

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

$x=e^{6f^{-1}(x)}-9$

Add 9 to both sides:

$x+9=e^{6f^{-1}(x)}$

Take the natural log of both sides:

$\ln(x+9)=\ln(e^{6f^{-1}(x)})$

The right side cancels:

$\ln(x+9)=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

And we're done!

7 0

3 years ago

Which set of values could be from a direct proportion

mr Goodwill [35]

Answer:

First table

Step-by-step explanation:

We have to find the set of value which could be from a direct proportion.

We know that

Direct proportion :

When x is directly proportional to y

$x\propto y$

$x=ky$

Where k=Proportionality constant

$k=\frac{x}{y}$

K remain constant when x and y are in direct proportion

From first table

$k=\frac{\frac{1}{2}}{6}=\frac{1}{12}$

$k=\frac{1}{12}$

$k=\frac{2}{24}=\frac{1}{12}$

$K=\frac{3}{36}=\frac{1}{12}$

When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.

From second table

$k=\frac{0}{0}=$ not ]define

$k=\frac{1}{1}=1$

It is not direct proportion because k does not remain constant.

From third table

$k=\frac{0}{2}=0$

$k=\frac{2}{4}=\frac{1}{2}$

It is not direct proportion because k does not remain constant.

3 0

3 years ago

Read 2 more answers

By what percentage will an amount gro in 10yeare if it is invested at 5% p.a. compounded monthly

lora16 [44]

Answer:

64.7%

Step-by-step explanation:

To solve this problem we use compounded interest formula.

$a = p(1 + (r \div n))^{nt}$

a = amount

p = principle

r = interest rate

n = number of times compounded in a period

t = time period

$a = 1000(1 + (.05 \div 12)^{12 \times 10}$

a = 1647.01

1647.01-1000 = 647.01

647.01/1000 = 0.64701

0.64701*100% = 64.7%

4 0

3 years ago

Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the

zhuklara [117]

The balance in Yolanda's saving plan after 14 years is; $9,455.36

<h3>How to calculate future value?</h3>

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

Read more about Future Value at; brainly.com/question/24703884

#SPJ1

3 0

2 years ago

Consider the given statement.

Novosadov [1.4K]

Answer:

Negation
Statement
Equivalent
Neither

Step-by-step explanation:

If it is not Monday, then there are students in the gym.

Negation: It is not Monday and there are not students in the gym.

Statement: It is Monday or there are students in the gym.

Equivalent: If there are not students in the gym, then it is Monday.

Neither: There are not students in the gym or it is not Monday.

7 0

1 year ago