All categories

4 years ago

How to solve y=2x-15 and y=5x

Mathematics

1 answer:

shepuryov [24]4 years ago

7 0

<h2>Answer:</h2>

By Substitution Method

<h2>Step-by-step explanation:</h2>

Solve by Substitution :

We have two equations

y = 5x ---------------> Equation 1

y = 2x - 15 ------------> Equation 2

y= 2x - 15 and y= 5x

So Put the value of y in Equ 2

(5x) - 2x = -15

3x = -15

Solve equation [1] for the variable x

3x = - 15

x = - 5

Now

y = 5x

x = -5

Use the x value to solve for y

y = 5(-5) = -25

Solution :

{y,x} = {-25,-5}

So y= -25 and x= -5

You might be interested in

the cost,c(x)=for a taxi ride id given by c(x)=3x+2.00 where x is the number of minutes .what does the slope mean for this situa

Alexandra [31]

Answer:

The cost of ride of tax per minute is $3 per minute

Step-by-step explanation:

We are given

$C(x)=3x+2.00$

where

C(x) is cost for a taxi ride

x is the number of minutes

we know that

slope is the rate of change of function

we can compare with linear equation formula and find slope

$y=mx+b$

we get

slope =3

so,

The cost of ride of tax per minute is $3 per minute

4 0

4 years ago

Read 2 more answers

Help! Please this is hard 8th grade

Nezavi [6.7K]

Combine like terms in Qx + 12 = 13x + P:

x(Q-13) = P-12
P-12
Then x = ----------
Q-13

Note that Q may not = 13. But none of the answer choices present Q = 13.

Let's go thru the answer choices one by one.

P-12
x = ----------
Q-13
-24
Check out A: Q=12 and P= -12: x = -------- = 24 This is OK (ONE sol'n)
-1
-25
Check out B: Q = -13 and P = -13: x = ----------- = 25/26 OK
-26
13-12
Check out C: Q = -13 and P = 13: x = ------------ = -1/26 OK
-13-13

12-12
Check out D: Q = 12 and P = 12: x= ---------- = 0 OK
12-13

It appears that in all four cases, the equation has ONE solution.

3 0

3 years ago

Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of

Schach [20]

Answer:

a. Z = 1.99

b. 97.67%

c. Z = 2.56

d. 0.52%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have $\mu = 69.7, \sigma = 2.66$

6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 69.7}{2.66}$

$Z = 1.99$

b. What percentage of men are SHORTER than 6 feet 3 inches?

The proportion is the p-value of Z = 1.99.

Looking at the z-table, Z = 1.99 has a p-value of 0.9767.

0.9767*100% = 97.67%, which is the answer.

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have $\mu = 64.5, \sigma = 2.54$ . We have to find Z when X = 5*12 + 11 = 71. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{71 - 64.5}{2.54}$

$Z = 2.56$

d. What percentage of women are TALLER than 5 feet 11 inches?

The proportion is 1 subtracted by the p-value of Z = 2.56.

Looking at the z-table, Z = 2.56 has a p-value of 0.9948.

1 - 0.9948 = 0.0052

0.0052*100% = 0.52%, which is the answer.

3 0

3 years ago

What does 30 percent equal

Hunter-Best [27]

Answer:

0.3

Step-by-step explanation:

By definition: 30% = 30/100 = 0.3

7 0

3 years ago

Read 2 more answers

Please help

AysviL [449]

The coordinates (-2, -2.5) and (-1, -1) are satisfying the equation so pairs (A) and (B) will be correct.

<h3>What is the equation?</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

3x= 2y - 1

To know which coordinate satisfies the equation we need to put one by one all three coordinate,

Coordinate (A) ⇒ A) (-2, -2.5)

3(-2) = 2(-2.5) - 1 ⇒ -6 = -6 so it is satisfying.

Coordinate (B) ⇒ B) (0, -0.5)

3(0) = 2(-0.5) - 1 ⇒ 0 ≠ -2 so it is not satisfying.

Coordinate (C) ⇒C) (-1, -1)

3(-1) = 2(-1) - 1 ⇒ -3 = -3 so it is also satisfying.

Hence "The pair (-2, -2.5) and (-1, -1) are satisfying".

For more about the equation,

brainly.com/question/10413253

#SPJ1

3 0

2 years ago