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Finger [1]
3 years ago
12

Find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

Slope is -3/4 the y-intercept is (0,6)

Step-by-step explanation:

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tamaranim1 [39]

Answer:

  • The function is injective but nor surjective

Step-by-step explanation:

<u>We see that:</u>

  • f(x) = x³

<u>For any x₁ and x₂ ∈ N, </u>

  • f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

<u>Check the surjectivity:</u>

f(x) = y ∈ N

  • x³ = y
  • y = ∛x

<u>Let y = 2, then:</u>

  • 2 = x³
  • x = ∛2 ∉ N

Since x is not natural, the function is not surjective

6 0
3 years ago
Read 2 more answers
A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

A(t)=Pe^{rt}

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

1.739130435=e^{.05t}

To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

7 0
3 years ago
Determine the number that will complete the square to solve the equation after the constant term has been written on the right s
klemol [59]

Answer:

Step-by-step explanation:

Hello, "the constant term has been written on the right side", it means that we add 18 to both sides to get.

x^2+3x-18=0\\\\x^2+3x=18\\\\\text{We can see the beginning of } (x+\dfrac{3}{2})^2 \\\\x^2+3x=(x+\dfrac{3}{2})^2-\dfrac{3^3}{2^2}=18\\\\(x+\dfrac{3}{2})^2=18+\dfrac{9}{4}=\dfrac{18*4+9}{4}=\dfrac{81}{4}

Hope this helps.

Thank you.

6 0
4 years ago
Read 2 more answers
WILL MARK BRAINLIEST
atroni [7]

Answer:

7.405882353 years

Step-by-step explanation:

Simple interest is

A = P(1+rt)

Where A is the amount in the account

P is the principle invested

r is the rate and

t is the time

6593.75 = 5000( 1+ .0425*t)

Divide each side by 5000

6593.75/5000 = ( 1+ .0425*t)

1.31475 = ( 1+ .0425*t)

Subtract 1 from each side

.31475 = .0425t

Divide each side by.0425

.31475/.0425 = .0425t/.0425

7.405882353 = t

7.405882353 years

8 0
4 years ago
Read 2 more answers
Help help urgentlyyy please❤️❤️
Julli [10]

Answer:

g(2) = 5

g(-2) = 2

g(-3) = 0

g(5) = 1

g(x) = 0 when x = 3

g(x) = 6 when x = 0

Step-by-step explanation:

Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.

4 0
3 years ago
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