Answer:
Number line 3 also known as [C]
Step-by-step explanation:
<em>Given that:</em>
<em>c ≤ </em>-1
Knowing that:
≤ = Less than or equal to
Now substitute into the equation:
C less than or equal to -1
Thus, it going left on a number line.
The only number line with left is [A] and [C]
Since ≤ = Less than or equal to -1
then, it including -1
also known as a closed circle means the number is included and an open circle means it is not.
Hence, it closed circle.
Thus, the answer is [C]
<u><em>Kavinsky</em></u>
Answer:
We call the denominator rational.
Step-by-step explanation:
For example:
It's clear that the denominator is now a rational number, not an irrational one anymore.
Observation one
From the markings on the diagram <1 = 60o The left triangle is at least isosceles. Therefore equal sides produce equal angles opposite them.
Now we have accounted for 2 angles that are equal (each is 60 degrees) and add up to 120 degrees. The third angle (angle 2) is found from this equation.
<1 + 60 + <2 = 180 degrees. All triangles have 180 degrees.
60 + 60 + <2 = 180
Observation 2
<2 = 60 degrees.
120 + <2 = 180
m<2 = 180 - 120
m<2 = 60 degrees.
Observation 3
m<3 = 120
<2 and <3 are supplementary.
Any 2 angles on the same straight line are supplementary
60 + <3 = 180
<3 = 180 - 60
<3 = 120
Observation 4
m<4 = 40 degrees.
All triangles have 180 degrees. No exceptions.
m<4 + 20 +m<3 = 180
m<4 + 20 + 120 = 180
m<4 + 140 = 180
m<4 = 180 - 140
m<4 = 40
Answer:
Step-by-step explanation:
Our function is : 3x²-3x-1
- 3x²-3x+2=2
- 3x²-3x-1+3=2
- 3x²-3x-1= -1
- the number that gives us -1 is 1 (from the graph)
so x is 1
- 3x²-3x-1= x+1 ⇒3x²-4x-2 = 0
- Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
- two solution x and y
- x= (4-√40)/6 and y= (4+√40)/6
- x= -0.38 and y = 1.7
- so the estimations are -0.38 and 1.7
Answer:
<em>The baker bought 8 apples and 4 bananas</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas
