Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
Answer:
16 cm
Step-by-step explanation:
1.6 m = 160 cm
Model length = 160 / 10 = 16 cm
Answer:
it actually takes 3 hours and 11 min.
Step-by-step explanation:
in no sure what you are trying to ask
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
Answer:
John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Step-by-step explanation:
Let the number of grams of the 30% solution = x
Let the number of grams of the 60% solution = y
John needs 20 grams of 54% acid solution for his science project.
Hence,
x + y = 20 grams..... Equation 1
x = 20 - y
His school's science lab has bottles of 30% solution and bottles of 60% solution.
30% × x + 60% × y = 54% × 20
0.3x + 0.6y = 10.8......Equation 2
We substitute 20 - y for x in Equation 2
0.3(20 - y) + 0.6y = 10.8
6 - 0.3y + 0.6y = 10.8
- 0.3y + 0.6y = 10.8 - 6
0.3y = 4.8
y = 4.8/3
y = 16 grams
x = 20 - y
x = 20 - 16
x = 4 grams
Therefore, John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
