Answer:
lets make this like a table
x y
3=21
4=28
5=35
so since y is bigger lets divide that by x
21/3=7
so the rate of change is 7
Hope This Helps!!!
So the vertex formula is A(X - H)^2 + K so find the vertex and plug all numbers in
this gives you (x - 2.5)^2 -3.25 = f(x)
Solve the following system by Elimination:
{7 x + 3 y = 22 | (equation 1)
{4 y = 20 | (equation 2)
Divide equation 2 by 4:
{7 x + 3 y = 22 | (equation 1)
{0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{7 x+0 y = 7 | (equation 1)
{0 x+y = 5 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 1 | (equation 1)
{0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 1, y = 5
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Solve the following system:
{y - 2 x = 10 | (equation 1)
{4 x - y = -14 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -14 | (equation 1)
{-(2 x) + y = 10 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 x - y = -14 | (equation 1)
{0 x+y/2 = 3 | (equation 2)
Multiply equation 2 by 2:
{4 x - y = -14 | (equation 1)
{0 x+y = 6 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = -8 | (equation 1)
{0 x+y = 6 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -2 | (equation 1)
{0 x+y = 6 | (equation 2)
Collect results:
Answer: {x = -2, y = 6
1) Nearest thousand: 457,000 (Look at the thousandths place. Is the number closer to 457,000 or 456,000?)
Hundred: 457,000 (Look at the hundredths place. Is the number closer to 456,000 or 457,000?)
Ten: 456,990 (Look at the tenths place. Is the number closer to 456,980 or 456,990?)
2) The value of the expression when x=6 is 27. Explanation:
6x-7
6(6)-7
36-7
27
The value of the expression when x=3 is 11
Explanation:
6x-7
6(3)-7
18-7
11
Answer:
Step-by-step explanation:
The measure of angle a is twice the measure of angle b. This means that
a = 2b
The measure of angle c is at least one degree more than the measure of angle a. This means that
c ≥ a + 1
c ≥ 2b + 1
if the sum of the three angles is at least 61 degrees, it means that
a + b + c = 61 - - - - - - - - - - - - - 1
Substituting a = 2b and c = 2b + 1 into equation 1, it becomes
2b + b + 2b + 1 = 61
5b = 61 - 1 = 60
b = 60/5 = 12
c ≥ 2× 12 + 1
c ≥ 25
25 ≥ a + 1
25 - 1 ≥ a
24 ≥ a
a ≤ 24
Therefore, the range possible measurements for angle b is
b ≤ 12
