Answer:
B. 1/25
Step-by-step explanation:
This question asks us to find (-2), or f(x) when x is equal to -2.
We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.
f(x)=5^x
x= -2
f(-2)= 5^-2
Negative exponents follow the rule:
x^-b= 1/x^b
Rewrite the exponent according to this rule.
5^-2=1/5^2
f(-2)= 1/5^2
Evaluate the exponent in the denominator.
5^2=5*5=25
f(-2)=1/25
f(-2) is equal to 1/25, therefore B is the correct answer.
The <em><u>correct answer</u></em> is:
Box 2
Explanation:
In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:
Box 1:
3(1.1⁵) = 4.83153
Box 2:
4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794
With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.
Answer:
The sequence of transformation used to map ABC onto A"B"C" is reflection, then rotation, then translation.
Step-by-step explanation:
To map ABC onto A"B"C" steps are:
step 1: Reflection of ABC
step 2: rotation of A'BC by some angle to obtain A'B'C'.
step 3: translation of A'B'C' by some units to the right to obtain the given transformation A"B"C".
I believe that the correct answer to this question is B. because matt took more than 5 minutes .
Answer:
x = 4/5
Step-by-step explanation:
The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:
(4/5)x + (1/3)(0) =1
Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).
Thus, x = 4/5, and the x-intercept is (4/5, 0).
