Answer:
(0.25)⋅(0.044) = 0.011
Step-by-step explanation:
Two students have different ways to calculate (0.25)⋅(0.044) as a decimal.
Show, in detail, how each student might compute this product. (upload your work when complete)
We are given:
(0.25)⋅(0.044)
= 0.25 × 0.044
a) For Elena
Elena says, "I find 25⋅ 4.4 and then move the decimal point."
What Elena did was she multiplied both
number by 100
= (0.25 × 100) × (0.044 × 100)
We add up the decimal points from 0.25 and 0.044 = 5
Hence, the answer we get in step 1 is divided by 100000 in other it move the brackets
(0.25 × 100) × (0.044 × 100)/100000
= 0.011
b) For Diego
Diego says, "0.25 is the same as 1/4, so I found 1/4 of 0.044."
Diego converted 0.25 to fraction
= 0.25 × 100/100
= 25/100 = 1/4
Since, (0.25)⋅(0.044)
= 0.25 × 0.044
Then:
1/4 of 0.044
= 1/4 × 0.044
= 0.011
Answer:
The inverse is -1/7(x+4)
Step-by-step explanation:
We have the function
y = -7x-4
To find the inverse, exchange x and y
x = -7y -4
Solve for y
Add 4 to each side
x+4 = -7y -4+4
x+4 = -7y
Divide each side by -7
-1/7(x+4) = -7y/-7
-1/7(x+4) = y
The inverse is -1/7(x+4)
1(2)-31+1(2)²+41-3(2)²-1-5-2(2)²¹
=2-31+4+41-12-1-5-4194304
= -4194304
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>