Answer:
x^2-7x+10
Step-by-step explanation:
the answer is x^2-2x-5x+10=
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.
<span><u><em>The correct answers are: </em></u>
1) A;
2) A;
4) D
3 cannot be done because the graph is not shown.
<u><em>Explanation:</em></u><span><u><em> </em></u>
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.
2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.
4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.</span></span>
Answer:
62.8
Step-by-step explanation:
Using the circumference formula (πd) we can see that the answer is 20π, or 62.8
Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:
0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
