Which ordered pairs make both inequalities true? Select two options.y < 5x + 2
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
Answers
The ordered pairs which make both the inequalities true are (1, 2).
What is Linear Inequalities?
Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given two linear inequalities,
y < 5x + 2 and y > 1/2 x + 1
Consider y < 5x + 2.
(-1, 3) ⇒ 3 < -5 + 2 ⇒ 3 < -3, which is not true.
(0, 2) ⇒ 2 < 0 + 2 ⇒ 2 < 2, which is not true
(1, 2) ⇒ 2 < 5 + 2 ⇒ 2 < 7, which is true
(2, -1) ⇒ -1 < 10 + 2 ⇒ -1 < 12, which is true
(2, 2) ⇒ 2 < 10 + 2 ⇒ 2 < 12, which is true
Consider y > 1/2 x + 1.
Substitute the points which are true for first inequality in this one.
(1, 2) ⇒ 2 > 1/2 + 1 ⇒ 2 > 3/2, which is true
(2, -1) ⇒ -1 > 1 + 1 ⇒ -1 > 2, which is not true
(2, 2) ⇒ 2 > 1 + 1 ⇒ 2 > 2, which is not true.
Hence the point is (1, 2) which is true for both inequalities.
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Answer:
(0,2) and (1,2)
Step-by-step explanation:
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Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder. What is the width of Quinn's tablecloth?
Answers
The width of Quinn's tablecloth is 2.839 inch
Quinn needs to buy fabric for a border to sew onto all four edges of a tablecloth.
According to the given condition the fabric required for potholder = 0.875 feet
Quinn needs 113/8 feet of fabric for the border of the tablecloth and the potholder.
The Total amount of fabric needed for the border and the potholder = 113/8.....(2)
So from equation (1) and (2) we get
Solving for w we can get
w = 2.839 inch
The width of Quinn's tablecloth is 2.839 inch
For more information please refer to the link below
O A. (x+3)(x-4)
O B. (x-3)(x + 4)
O C. (x+3)(x2 - 4x + 4)
O D. The polynomial is irreducible.
Answers
Answer: The polynomial is irreducible
Step-by-step explanation:
There is nothing we can subtract between x3-12
For example: you are trying to find the polynomial of x4-6
Options:
A. (x+4)(x-6)
B. (x+1+3)(x-6)
C. None the polynomial is irreducible.
You would chose C because there is no subtraction sign in between the parentheses. If you would choose a right answer, you would rewrite it as:
(x+4)-(6)
Answers
Answers
Answers
Answer:
You would still divide numerator by denominator, but keep the negative, even as a decimal
Step-by-step explanation:
-5/8 = -0.625
Or another way to think about it (in that case) is dividing -5 by 8. you would end with a negative. Hope this helps!
Example:
-1/4 =. 1divided by 4 = .25 = -.25