To solve for how much it would cost, we have to solve for the volume of the slab first, then multiply it by the given price of concrete.
Solving for the volume of the slab:
Since the given price is in cubic yard, it is easier to convert the given measurements from feet to yards first. Using the relation: 1 ft = 0.333 yd:
17 ft = 5.67 yards
2 ft = 0.67 yards
17ft x 17ft x 2ft = 5.67 yd x 5.67 yd x 0.67 yd = 21.54 yd^3
Multiplying this by $40.00 / yd^3:
21.54 x 40 = 861.59
Therefore, it will cost $861.59 to pour the slab.
<h2>
Greetings!</h2>
Answer:
Horseback riding costs $30 and parasailing costs $51, so B.
Step-by-step explanation:
This is answered by using simultaneous equations, let x be parasailing and y be horseback riding.
3y + 2x = 192
2y + 3x = 213
Multiply each equation by the number in front of the y of the other equation:
2 x (3y + 2x = 192)
3 x (2y + 3x = 213)
Which results in:
6y + 4x = 384
6y + 9x = 639
Simply minus the two equations to get rid of the y:
6y - 6y = 0
4x - 9x = -5x
384 - 639 = -255
The negatives cancel out which give a result:
5x = 255
x = 
x = 51
So parasailing costs $51
Now you can simply plug this value into one of the equations:
3y + (2 x 51) = 192
192 - 102 = 3y
90 = 3y
y = 
y = 30
So horseback riding costs $30!
Hope this helps.
Answer:
Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is 
where we substitute a point (x,y) for 
.
We do not have m for the slope. But we do have (1,-2) and (-3, 4). We input the points for 
and 
.
We now simplify the parenthesis and solve for m.
We divide by -4 on both sides and find 
. We substitute m into the point slope form with one coordinate pair.
After simplifying the parenthesis, we subtracted 2 from both sides. We converted 2 into a fraction with 2 as the denominator.
This is slope intercept form. The line has slope -3/2 and y-intercept (0,7/2) or b=7/2.
Answer:
<u>The correct answer is B. Exponential form.</u>
Step-by-step explanation:
The exponential form was developed to express repeated multiplications and to make it easier to write long numbers. The exponential notation has two parts. The base, as the name says, is the number below. The other part of the notation is a small number written on the superscript to the right of the base, called an exponent. We will use an example to learn about the exponential form or notation.
2³
In this example the base is 2. This means that 2 is a factor, and that it will be multiplied by itself a certain number of times. The precise number of times is given by the exponent, the number in the superscript. In this case, the exponent is 3, which means that base 2 will be used as a factor 3 times. So 2³ means 2 • 2 • 2 and the result is 8.
Answer:
(f + g)(x) = 7x - 1
Step-by-step explanation:
Given : f(x) = 5x – 2 and g(x) = 2x + 1
We have to find (f + g)(x)
Consider (f + g)(x) = f(x) + g(x)
Also, given f(x) = 5x – 2 and g(x) = 2x + 1
Substitute, we have,
f(x) + g(x) = 5x - 2 + 2x + 1
LIKE TERMS are terms having same variable with same degree.
Simplify by adding like terms, we have,
f(x) + g(x) = 5x + 2x - 2 + 1
f(x) + g(x) = 7x - 1
Thus, (f + g)(x) = 7x - 1
