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mezya [45]
2 years ago
9

The point (0, 0) is a solution to which of these inequalities? A. Y - 7 < 2 x - 6 B. Y - 6 < 2 x - 7 C. Y + 7 < 2 x - 6

D. Y + 7 < 2 x + 6
Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
4 0

Answer:

  A.  y - 7 < 2 x - 6

Step-by-step explanation:

When you put the given values into the inequalities, you get ...

  A: -7 < -6 . . . . true

  B: -6 < -7 . . . . false

  C: 7 < -6 . . . . .false

  D: 7 < 6 . . . . . false

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24√3

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Pls solve the simultaneous equation in the attachment.
siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

\frac{x}{2}-\frac{y}{5}=1 ----> equation A

y-\frac{x}{3}=8 ----> equation B

Multiply equation A by 10 both sides to remove the fractions

5x-2y=10 ----> equation C

isolate the variable y in equation B

y=\frac{x}{3}+8 ----> equation D

we have the system of equations

5x-2y=10 ----> equation C

y=\frac{x}{3}+8 ----> equation D

Solve the system by substitution

substitute equation D in equation C

5x-2(\frac{x}{3}+8)=10

solve for x

5x-\frac{2x}{3}-16=10

Multiply by 3 both sides

15x-2x-48=30

15x-2x=48+30

Combine like terms

13x=78

x=6

<em>Find the value of y</em>

y=\frac{x}{3}+8

y=\frac{6}{3}+8

y=10

The solution is the ordered pair (6,10)

Part b) we have

xy=21 ---> equation A

x+5y=22 ----> equation B

isolate the variable x in the equation B

x=22-5y ----> equation C

substitute equation C in equation A

(22-5y)y=21

solve for y

22y-5y^2=21

5y^2-22y+21=0

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

x=22-5(1.4)=15

For y=3

x=22-5(3)=7

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0
3 years ago
The product of any two numbers is composite ( true/false) and why?
Reptile [31]
<u><em>FALSE.</em></u><em></em> 
A composite number is the opposite of a prime number. This is false because of the possibility of the following scenario:
The two numbers are 1 and a prime number.
This is because <em>one multiplied by any number is that number.</em> A prime number cannot become a composite number just because it is being multiplied by one. For example:
1 x 7 = 7 (prime) 
Hope this helps!
~<em>Archimedes El</em>∈<em>ven</em>
7 0
3 years ago
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