Answer:
x-intercept(s): ( -1, 0 ) , ( -3, 0 )
y-intercept(s): ( 0, 3)
Figure 1 has 8 tiles
figure 2 has 14 tiles
figure 3 has 22 tiles
I'm guessing the 2 on the side hints for us to do something+2
the inside parts are
figure 1: 6
figure 2: 12
figure 3: 20
hmm, the width is 1+number figure
height is 2+figure number
so therefor, figure x is (1+x)(2+x)+2
so the rule is figure x has (x+1)(x+2)+2 or
tiles
a. the rule is figure x has (x+1)(x+2)+2 or
tiles
b. it is quadratic because it has
in it
Answer:
raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)
thus, rate of draining of water gallons per minute = -1.5
amount of water remaining in the bathtub = y,
the function of the time in minutes that it has been draining = x, .
at 0 minutes the amount of water is 40 gallons.
thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute
the given function is a linear function
y = 0
however, the volume of water can be 0 but cannot ever be negative.
thus, the range of y will be all real numbers such that 0≤y≤40
Step-by-step explanation:
Equation 1:
Answer:
x = 1.22
Step-by-step explanation:
x = 1.22
Equation 2:
Answer:
x = -13.97
Step-by-step explanation:
x = -13.97
Answer:
The first and third options are valid.
Step-by-step explanation:
If two of the three sides of a right triangle are 5 inches and 4 inches, then we have to select the equation from options that can be used to find the unknown length b, in the triangle.
The first equation 4² + b² = 5² can be the possible equation.
The second equation 4² - b² = 5², ⇒ 4² = b² + 5² can not be the equation as 4 being the hypotenuse should be the largest side but 4 < 5.
The third equation 5² + 4² = b² can be the possible equation.
The fourth equation 5² + b² = 4² is similar to the second equation. So, it is not possible.
Therefore, the first and third options are valid. (Answer)