Answer:
1
Step-by-step explanation:
Let's start by prime factorizing (finding the prime factors) of 16 and 21:
We can see that they DO NOT have any common factors, meaning that their greatest common factor is 1.
Hello!
1/4 is equal to 0.25. Let's divide below.
5/0.25=20
When dividing by fractions, you multiply by the reciprocal. The reciprocal of 1/4 is 4, and 5(4)=20
Therefore, our answer is 20.
I hope this helps!
Answer: B
Step-by-step explanation:
360 is a full circle. 420-360= 60
Answer:
x = 3/2
Step-by-step explanation:
Solve for x over the real numbers:
(5 x^2 - 4 x + 6) (3 - 2 x) = 0
Split into two equations:
3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0
Multiply both sides by -1:
2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0
Add 3 to both sides:
2 x = 3 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 2:
x = 3/2 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 5:
x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0
Subtract 6/5 from both sides:
x = 3/2 or x^2 - (4 x)/5 = -6/5
Add 4/25 to both sides:
x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25
Write the left hand side as a square:
x = 3/2 or (x - 2/5)^2 = -26/25
(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:
Answer: x = 3/2
4)
3x-2y=10
5x+y=4
We solve this system of equation by elimination method.
3x-2y=10
2(5x+y=4)
------------------------
13x=18
Answer: A) 13x=18
5)
slope-intercept form:
y=mx+b
y=f(x)
m=slope
b=y-intercept
1) we calculate the slope:
we choose any two points of this table:
For example: (2,2) and (3,4)
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(4-2)/(3-2)=2
2) we compute "b";
we choose an any point of this talbe:
For example: (4,6), and we substitute "x" for "4" and "y" for "6" in the next equation:
y=2x+b
6=2(4)+b
b=6-8
b=-2
3) we build the function that it belong this table:
m=2
b=-2
f(x)=mx+b
f(x)=2x-2
Answer: B) f(x)=2x-2
