The errors Emma made are
- She should have used division to represent the quotient of six and x
- She should have used parentheses to show that - 2 is multiplied by (x - 4.5)
<h3>Writing an expression as an equation</h3>
From the question, we are to determine the errors that Emma made
The given statement is
"The quotient of six and a number, x, is the same as negative two times the difference of x and 4.5"
"The quotient of six and a number, x", can be expressed as
6/x
"Two times the difference of x and 4.5", can be expressed as
2(x - 4.5)
Hence, the errors Emma made are
- She should have used division to represent the quotient of six and x
- She should have used parentheses to show that - 2 is multiplied by (x - 4.5)
Learn more on Writing an expression as an equation here: brainly.com/question/13155862
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23x = -3x^2 + 8
3x^2 + 23x - 8 = 0
3x^2 + 24x - x - 8 = 0
3x (x + 8) -1 (x + 8) = 0
(x + 8) (3x - 1) = 0
x = -8 or x = 1/3
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
Here is a function rule that produces an output of 7 for an input of 1.6
f(x) = x + 5.4
when x = 1.6, f(x) = 1.6 + 5.4 = 7
The scale factor of DEFG to PQRS is 2 to 1 or 2/1 or 2:1
