We are given the equation of a line
y = -2x + 1
We have to find the value of y at three different values of x i.e. at x =0, -3 and 1
In order to find the value of y at any given x, simply replace x by that number.
So, for x=0, we will replace x by 0 to find the value of y. So y will be:
y = -2(0) + 1
y = 1
This can be expressed as an ordered pair as (0,1)
Similarly for x=-3, we get:
y = -2(-3) + 1 = 6 + 1
y = 7
This can be expressed as an ordered pair as (-3, 7)
And, finally for x=1, we get:
y= -2(1) + 1 = -2 + 1
y= -1
This can be expressed as an ordered pair as (-1, -1)
Answer:
x = 22
Step-by-step explanation:
(x+1)+(3x+1) = 4x+2
4x+2=90°
Solve for x:
4 x + 2 = 90
Subtract 2 from both sides:
4 x + (2 - 2) = 90 - 2
2 - 2 = 0:
4 x = 90 - 2
90 - 2 = 88:
4 x = 88
Divide both sides of 4 x = 88 by 4:
(4 x)/4 = 88/4
4/4 = 1:
x = 88/4
The gcd of 88 and 4 is 4, so 88/4 = (4×22)/(4×1) = 4/4×22 = 22:
Answer: x = 22
Answer:
Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Step-by-step explanation:
Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:
3.3 x 5 = 16.5
2 x 1.5 = 3
4000 x 0.165 + 3000 x 0.03 = 750
6000 x 0.165 + 5000 x 0.03 = 1140
5000 x 0.165 + 4000 x 0.03 = 945
Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Answer:
500 students in the school
Step-by-step explanation:
100 - 68% = 32%
boys percentage 68%
girls percentage 32%
difference 68 - 32 = 36% = 180
36 ÷ 18 = 2 × 50 = 100
180 ÷ 18 = 10 × 50 = 500
