Answer:
5 84/100
Step-by-step explanation:
.84 is in the hundredths place so we write 84 over 100.
5 is a whole number.
5 84/100
5 21/25
2/3 ÷ (-5/6)
When dividing fractions, all you really have to do is multiply the first fraction by the second fraction's reciprocal.
Remember, a reciprocal is the fraction/whole number flipped.
Ex : 4/6 turns into 6/4
So, the reciprocal of -5/6 is -6/5
Therefore, our new equation looks like this :
2/3 × -6/5
Multiply the numerators with the numerators, and the denominators with the denominators :)
Numerators : 2 × -6 = -12
Denominators : 3 × 5 = 15
SO, our answer is -12/15
Simplify this.
-4/5
~Hope I helped!~
Answer:
X intercepts are points where a function intersects or cuts through the x axis where y=0.
Step-by-step explanation:
In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.
For finding the X intercepts let f(x) = 0
therefore 0= x^2 + 4x + 3 now we solve for x
0= (x+1)(x+3)
(x+1)= 0 or (x+3)=0
therefore x=-1 or x=-3
now if you substitute these values onto the function they give f(x)= 0,
f(-1) = (-1)^2 + 4(-1) + 3 = 0
f(-3) = (-3)^2 + $(-3) + 3 =0
now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.
Answer:
B. would be the best choice
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4
Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1
Simplify the equation
2x + x = 4 - 1
3x = 3
Move 3 on the left side to the right side, it becomes denominator
3x = 3
x = 3/3
x = 1
The solution to the equation is
x = 1
