Kriste respone is wrong
<em><u>Solution:</u></em>
Given that,
Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents
Her response was (8 x 10 to the power of 3) x 5 to the power of 2
No, the response of Kristen is wrong
Let us first understand about exponents
An exponent refers to the number of times a number is multiplied by itself
Given expression is:
Here, 80000 has 4 zeros
Therefore, it can be raised as 10 power 4
<em><u>Thus the expression becomes:</u></em>
Also, 25 can be written as 5 power 2
Thus given expression is written as (8 x 10 to the power 4) x 5 power to the power 2
Thus Kristen respone is wrong, because he has raised 10 to power 3
Answer:
Step-by-step explanation:
First, isolate the variables onto one side of the equation.
2x + 3 = x - 4
(subtract x)
x + 3 = -4
Then, remove any remaining numbers.
(subtract 3)
x = -7
I hope this helps!
16 - 5(3t - 4) = 8(-2t + 11) <em>use distributive property</em>: <em>a(b + c) = ab + ac</em>
16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)
16 - 15t + 20 = -16t + 88
36 - 15t = -16t + 88 <em>subtract 36 from both sides</em>
-15t = -16t + 52 <em>add 16t to both sides</em>
t = 52
2 Remainder 2 because 14 divided by 6 is 2 remainder 2
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
