Answer:
6x^2+x+7
Step-by-step explanation:
(3x^2+3)+(3x^2+x+4)
6x^2+3+x+4
6x^2+x+7
Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:
.
Thus, the slope in A is
.
The slope in B is
.
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A
Width of the miniature model = 
inches
Length of the miniature model = 
inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
Do cross multiplication.
⇒ x = 22
Hence the actual length of the boat is 22 feet.
