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2 years ago

-3x+y=5, y=7 solve using substitution

Mathematics

1 answer:

borishaifa [10]2 years ago

6 0

substitute 7 for y then solve for x

x = 2/3

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Find the number of 3-digit numbers formed using the digits 1 to 9, without repetition, such the numbers either have all digits l

Tasya [4]

Answer: 120

Step-by-step explanation:

The total number of digits from 1 to 9 = 10

The number of digits from less than 5 (0,1,2,3,4)=5

Since repetition is not allowed so we use Permutations , then the number of 3-digit different codes will be formed :-

$^5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5\times4\times3\times2!}{2!}=5\times4\times3=60$

The number of digits from greater than 4 (5,6,7,8,9)=5

Similarly, Number of 3-digit different codes will be formed :-

$^5P_3=60$

Hence, the required number of 3-digit different codes = 60+60=120

3 0

3 years ago

Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?

Bingel [31]

Answer:

x = 2±sqrt(11)

Step-by-step explanation:

x^2 -4x - 7 =0

Add 7 to each side

x^2 -4x -7+7 =0+7

x^2 -4x =7

To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides

-4 /2 = -2 then square

(-2)^2 = 4

Add 4 to both sides

x^2 -4x+4 =7+4

x^2 -4x+4 = 11

Factor the left side into (x-b/2)^2

(x-2)^2 =11

Take the square root of each side

sqrt((x-2)^2) =±sqrt(11)

x-2 = ±sqrt(11)

Add to to each side

x-2+2 = 2±sqrt(11)

x = 2±sqrt(11)

3 0

3 years ago

Jesse served 13 pints of orange juice at her party how many quarts of orange juice did she serve

Alexus [3.1K]

Answer:

26 pints

Step-by-step explanation:

1 quart = 2 pints

13*2=26

5 0

2 years ago

(6x+2.4):3 /59=2.25:1/3 find x<br> hurry plz

IgorLugansk [536]

Solution of (6x + 2.4): 3 ⁵/₉ = 2.25 : ¹/₃ is 3.6

Further explanation

Order of Operations in Mathematics follow the following rule :

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate an operation that is in parentheses, followed by exponentiation, then multiplication or division, and finally addition or subtraction.

8 0

2 years ago

Read 2 more answers

7-0.3×>4<br>solve for x

Troyanec [42]

Answer:

x<10

Step-by-step explanation:

Add '-7' to each side of the equation.

7 + -7 + -0.3x = 4 + -7

Combine like terms: 7 + -7 = 0

0 + -0.3x = 4 + -7

-0.3x = 4 + -7

Combine like terms: 4 + -7 = -3

-0.3x = -3

Divide each side by '-0.3'.

x = 10

Simplifying

x = 10

4 0

2 years ago