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3 years ago

Solving this system using substitution: 2x+6y=28/y=-5x

Mathematics

1 answer:

AnnyKZ [126]3 years ago

7 0

X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5

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3 (4x + 7) = 43; 12x + 21 = 43

777dan777 [17]

Answer:

Distributive property

Explanation:

You are distributing the 3 to the parenthesis to get 12x+21 =43

6 0

3 years ago

Read 2 more answers

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allochka39001 [22]

Answer:

can you correct you question

6 0

3 years ago

a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues

DerKrebs [107]

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that $P(0) = 24000$

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

$P(t) = P(0)(1+r)^{t}$

$29000 = 24000(1+r)^{20}$

$(1+r)^{20} = \frac{29000}{24000}$

$\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}$

$1 + r = 1.0095$

$P(t) = P(0)(1+r)^{t}$

$P(t) = 24000(1.0095)^{t}$

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

$P(t) = 24000(1.0095)^{t}$

$P(100) = 24000(1.0095)^{100} = 61779$

It will have a population of 61,779 in 2000.

4 0

3 years ago

Stephen factored x2−10x 21 and found the answer to be (x 7)(x 3). Is he correct? Question 4 options: yes no.

STALIN [3.7K]

The true statement is that Stephen's factored expression is incorrect.

Given

The expression is given as:

$\rm x^2-10x+21$

<h3>What is factorization?</h3>

Factorization involves splitting a function into factors.

Start by expanding the equation

$\rm x^2-10x+21=0\\\\x^2-7x-3x+21=0$

Factorize the equation

$\rm x^2-7x-3x+21=0\\\\x(x-7)-3(x-7)=0$

Factor out x - 7

$\rm x(x-7)-3(x-7)=0\\\\(x-7)(x-3)=0$

Hence, the true statement is that Stephen's factored expression is incorrect.

Read more about factored expressions at:

brainly.com/question/11579257

7 0

2 years ago

Need help with this diagram

Anit [1.1K]

The width of the square garden is 4 feet

<h3>How to determine the width of the garden?</h3>

The area of the garden is given as:

x^2 + 20x + 75 = 171

Subtract 171 from both sides

x^2 + 20x - 96 = 0

Expand

x^2 + 24x - 4x - 96 = 0

Factorize

x(x + 24) - 4(x + 24) = 0

Factor out x + 24

(x - 4)(x + 24) = 0

Solve for x

x = 4 or x =-24

The width of the garden cannot be negative.

So, we have:

x = 4

Hence, the width of the garden is 4 feet