All categories

3 years ago

Find the equation of the line whose slope is -3 and which passed through the point (-5,3)

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

Answer:

Y= -3-12

Step-by-step explanation:

Plug in the coordinates. 3= -3(-5) +b. Solve.

taurus [48]3 years ago

5 0

Answer:

$y-3=-3(x+5)$ or $y=-3x-12$

Step-by-step explanation:

There is enough info to make a point slope equation.

Formula: $y-y_1=m(x-x_1)$

Plug in the formula:

$m = -3\\(x_1,y_1) = (-5, 3)$

$y-3=-3(x+5)$

Convert into Slope Intercept Form: $y=mx+b$

[see picture]

You might be interested in

If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on

jenyasd209 [6]

Answer: 0.03125

Step-by-step explanation:

We know that the probability of getting a tail , we toss a fair coin = 0.5

Given : Total number of trials = 5

Using binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.

The probability of getting "tails" on all five coins :_

$P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125$

Hence, the probability of getting "tails" on all five coins =0.03125

8 0

3 years ago

PLEASEEEE HELPPPP -1+(-5) =

valentina_108 [34]

Answer:

-6

Step-by-step explanation:

-1+(-5)

You are moving down the numberline, then subtracting again because of the negative sign. -(1+5) is how I like to think of it.

So, 1+5=6, and you add the negative sign. -1+(-5)=-6.

6 0

3 years ago

One hundred times the quantity six plus five

Andru [333]

100 times (6+5)
100 times 11
100 groups of 11=1100
Hope I helped:)

3 0

3 years ago

Read 2 more answers

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

Rachel made $176 for 11 hours of work.

elena55 [62]

Answer:

8 hours

Step-by-step explanation:

11 hours = $176

⇒ 1 hour = $176 ÷ 11 = $16

To determine how many hours she would have to work to make $128, divide $128 by $16:

⇒ number of hours = $128 ÷ $16

= 8 hours

6 0

2 years ago

Read 2 more answers