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4 years ago

Need help with 9 please

Mathematics

1 answer:

Debora [2.8K]4 years ago

6 0

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

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The population of bats in a large cave is 7000 and is growing exponentially at 14% per year. Write a function to represent the p

Evgen [1.6K]

Answer:

y=7000+14^t

Step-by-step explanation:

This equation shows that the original population of bats was 7000 and grows exponentially at a rate of 14% per year.

I put the graph below so you can see it.

4 0

3 years ago

A . ( 12 ) x ( − 16 ) + 16 b . ( − 34 ) ÷ ( − 23 ) + 14 c . ( − 45 ) ÷ ( − 15 ) + 13 d . ( 23 ) - ( − 16 ) 13 e . ( − 42 ) + ( -

MA_775_DIABLO [31]

<h2>Question</h2>

Simplify the following

A . ( 12 ) x ( − 16 ) + 16

b . ( − 34 ) ÷ ( − 23 ) + 14

c . ( − 45 ) ÷ ( − 15 ) + 13

d . ( 23 ) - ( − 16 ) - 13

e . ( − 42 ) + ( - 16 ) ÷ 13

<h2>Answer:</h2>

(A) -176

(B) $\frac{402}{23}$

(D) 26

(E) $\frac{-562}{13}$

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

(A)

( 12 ) x ( − 16 ) + 16

Following the rules of BODMAS

=> Solve the brackets first

12 x -16 + 16

=> Next, solve the multiplication(x)

-192 + 16

=> Solve the addition and subtraction

-176

(B)

( − 34 ) ÷ ( − 23 ) + 14

Following the rules of BODMAS

=> Solve the brackets first

-34 ÷ -23 + 14

=> Next, solve the division(÷)

$\frac{-34}{-23}$ + 16

The negative signs can cancel out.

$\frac{34}{23}$ + 16

=> Solve the fraction

$\frac{34}{23}$ + $\frac{16}{1}$

$\frac{34 + 368}{23}$

$\frac{402}{23}$

(C)

( − 45 ) ÷ ( − 15 ) + 13

Following the rules of BODMAS

=> Solve the brackets first

-45 ÷ -15 + 13

=> Next, solve the division(÷)

$\frac{-45}{-15}$ + 13

The negative signs can cancel out.

$\frac{45}{15}$ + 13

3 + 13

=> Solve the addition

3 + 13 = 16

(D)

( 23 ) - ( − 16 ) - 13

Following the rules of BODMAS

=> Solve the brackets first

23 - -16 - 13

=> Next, - - will give +

23 + 16 - 13

=> Next solve the addition

39 - 13

=> Next solve the subtraction

39 -13 = 26

(E)

( − 42 ) + ( - 16 ) ÷ 13

Following the rules of BODMAS

=> Solve the brackets first

-42 + -16 ÷ 13

=> Next, + - will give -

-42 - 16 ÷ 13

=> Next solve the division

-42 - 16 ÷ 13

-42 - $\frac{16}{13}$

=> Next solve the fraction

$\frac{-42}{1}$ - $\frac{16}{13}$

$\frac{-546-16}{13}$

$\frac{-562}{13}$

4 0

3 years ago

What is true about this linear inequality y>3/4-2

astraxan [27]

Inequalities help us to compare two unequal expressions. The statements that are correct are B, D, and E.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.

-The slope of the line is –2.

-The graph of y >3/4 x – 2 is a dashed line.

-The area below the line is shaded.

-One solution to the inequality is (0, 0).

-The graph intercepts the y-axis at (0, –2)

-The slope of the line is 3/4. Thus, the first statement is false.

-The graph of y >3/4 x – 2 is a dashed line. The given statement is true.

-The area below the line is shaded. The statement is false.

-One solution to the inequality is (0, 0). The given statement is true.

-The graph intercepts the y-axis at (0, –2) The statement is true.

Hence, the statements that are correct are B, D, and E.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

5 0

2 years ago

COMPLETING THE SQUARE 2x^2 -4x+3=9 2. QUADRATIC FORMULA 2x^2+4x=0

jek_recluse [69]

X = 3 and x = -1 are the answers for both. They are exactly the same equation.

FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.

USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.

3 0

3 years ago

Brainliest if correct

omeli [17]

Answer:

Step-by-step explanation:

5 0

3 years ago