All categories

3 years ago

For the following system, use the second equation to make a substitution for x in the first equation.

Mathematics

2 answers:

LenaWriter [7]3 years ago

5 0

Answer:

Replace x with 0 and simplify.x,x+5y- 10=0, x = 2 y − 8

Step-by-step explanation:

Gennadij [26K]3 years ago

3 0

Answer:

The resulting equation is $2y-8 + 5y - 10 = 0$

Step-by-step explanation:

For the following system, use the second equation to make a substitution for x in the first equation.

$x + 5y - 10 = 0$ first equation

$x = 2y - 8$ second equation

Now substitute the second equation in first equation

Replace x with 2y-8 in first equation

$x + 5y - 10 = 0$

$2y-8 + 5y - 10 = 0$

The resulting equation is $2y-8 + 5y - 10 = 0$

You might be interested in

Evaluate the difference quotient for the given function. Simplify your answer.

nasty-shy [4]

I suppose you mean

$f(x) = \dfrac{x+5}{x+1}$

Then

$f(3) = \dfrac{3+5}{3+1} = \dfrac84 = 2$

and the difference quotient is

$\dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5}{x+1}-2}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5-2(x+1)}{x+1}}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{-x+3}{(x+1)(x-3)} \\\\ \dfrac{f(x)-f(3)}{x-3} = \boxed{-\dfrac{x-3}{(x+1)(x-3)}}$

If it's the case that x ≠ 3, then (x - 3)/(x - 3) reduces to 1, and you would be left with

$\dfrac{f(x)-f(3)}{x-3}\bigg|_{x\neq3} = -\dfrac1{x+1}$

4 0

2 years ago

A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does

Assoli18 [71]

Answer:

$31.25

Step-by-step explanation:

Let's set up an equation.

$220. 28 - total

$126.53 - cost for parts

3 - # of hours

? - price per hour

3h + $126.53 = $220.28

Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

6 0

3 years ago

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

Finger [1]

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = \frac{5}{20}=0.25$

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

3 0

3 years ago

There are 400 silver dollars in two bags. If 275 are in one bag, how many are in the other bag?

xz_007 [3.2K]

If there are 400 silver dollars in all, and there are 275 in one bag, to find the amount in the other bag, just subtract:

400-275=125

There are 125 in the other bag.

4 0

3 years ago

Read 2 more answers

-2xt+y =4 what’s the slope and y intercept

Elina [12.6K]

Answer:

y interecept 4

slope 2

Step-by-step explanation:

4 0

3 years ago