Answer:
It would be -2.
Step-by-step explanation:
<u>Key skills: Conjugate, Distribution Property, and Addition/Subtraction </u>
3 + 
is your expression. The conjugate is an important concept you need to know to solve this.
Given the expression: 
It's conjugate would be: 
(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)
1) So the conjugate of 
would be 
2) Now we would have to multiply them
- (
)(
) is your expression. - If you use distribution property, you will get to:
- The two middle terms would cancel out (they both add up to 0), so then we have
- This would simplify into 9-11, which is then <u><em>-2</em></u>
Hope you understood, and have a nice day!! :)
Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :
We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :
In the first equation, we have
similarly,
In the second equation, we have
So, According to the question, we have
Therfore , it is consistent as the lines are intersecting lines and it has a unique solution.
We are given ratio nickel to zinc to copper = 2:7:9.
From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.
Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.
So, we can setup a proportion as :
x : 4.9 = 2:7
Or
On cross multiplication, we get
7x= 4.9× 2
7x = 9.8
Dividing both sides by 7, we get
x = 1.4.
<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
The feeders in battling machine are represented in proportions and fractions.
- The equation that represents the problem is:
- The feeder can hold <em>30 baseballs</em>, when full
The given parameters are:
<em />
<em> ------ 1/6 full</em>
<em />
<em> --- baseballs added</em>
<em />
<em> ---- 2/3 full</em>
<em />
So, the equation that represents the problem is:
So, we have:
The number of baseballs it can hold is calculated as follows:
Multiply through by 6
Collect like terms
Divide through by 3
Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
brainly.com/question/20337104
Answer:
Step-by-step explanation:
The given function is
The graph of this function is a parabola that opens downwards
The line 
intersects this parabola, when
The teammate can spike the ball after 0.25 seconds or 0.5 seconds.
The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.
When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.
