MATHEMATICS HIGH SCHOOL

The intersection of the graph of two linear equations can be located on a cartesian grid by starting at the origin, moving 5 units to the left, and moving 7 units down. Which of these solution to the system of equations?A. X= -y= -5

B. X= -7; Y= 5

C. X= -5; Y= -7

D. X= 5; Y= 7

Answers

Answer 1
Answer: answer C x= -5 and y= -7

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Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.A. 20 ≥ x ≥ 50

B. 20 < x < 50

C. 20 > x > 50

D. 20 ≤ x ≤ 50

Answers

Answer:

D) 20 ≤ x ≤ 50.

Step-by-step explanation:

Given : , the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

To find: Write a compound inequality that represents the situation.

Solution : We have given that

Maximum speed  = 50 miles per hour.

Minimum speed  = 20 miles per hour.

Let x represent the speed .

According to question

maximum speed  is 50 or less than 50.

Then we will use less than equal to sing

x ≤ 50

For Minimum speed is 20 or greater than 20 .

x ≥ 20

On combining both statement,

20 ≤ x ≤ 50

Therefore, D) 20 ≤ x ≤ 50.
Hello,

x is the rate

Answer D  20<=x<=50

If you may drive at the max rate.

Enter the value of p so the expression 5/6 - 1/3n is equivalent to p(5-2n).

Answers

Let's solve for p when the two expressions are equal.

p(5-2n)=\frac{5}6 - \frac{1}3n \n\n p=\frac{\frac{5}6-\frac{1}3n}{5-2n}*\frac{6}6= (5-2n)/(6(5-2n)) = \boxed{\frac{1}6}

What is the factorization of 3x^2 – 8x + 5?(3x – 1)(x + 5)
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)

Answers

3x^2 - 8x + 5
3x^2 - 3x - 5x + 5
3x(x - 1) - 5(x - 1)
(x - 1)(3x - 5)

The answer is: (x - 1)(3x - 5).

the real answer is (3x – 5)(x – 1)


Factor 3d^2 - d - 24

Answers

Using the AC method for factoring.....

you should get the answer of...

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Simplify 10 + 4(x + 1) + 5.

Answers

10 + 4 (x+1) +5              Distributive Property
= 10 + 4x + 4 + 5           Combine like terms
= 10 + 4 + 5 + 4x           Add
= 19 + 4x                       Answer

Answer = 19 + 4x

10+4(x+1)+5

Distribute:

=10+(4)(x)+(4)(1)+5

=10+4x+4+5

Combine Like Terms:

=10+4x+4+5

=(4x)+(10+4+5)

=4x+19

How to factor completely:  15x²-40x-15

Answers

15x^2-40x-15 =0\ \ /:5\n \n3x^2-8x-3 =0 \n \na=3, \ b=-8 , \ c= -3 \n \n\Delta =b^2-4ac =(-8)^2 -4\cdot 3\cdot (-3)=64+36=100 \n \nx_(1)=(-b-\Delta )/(2a)=(8-√(100))/(2 \cdot 3)=(8-10)/(6)=-(2)/(6)=-(1)/(3)

x_(2)=(-b+\Delta )/(2a)=(8+√(100))/(2 \cdot 3)=(8+10)/(6)= (18)/(6)=3\n \n 3x^2-8x-3 = 3(x+(1)/(3))(x-3)=(3x+1)(x-3) \n \n \nAnswer : \ 15x^2-40x-15 = 3x^2-8x-3 =(3x+1)(x-3)
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