Answer:
for quadratic equation 1
y^2-10y+21=0
Step-by-step explanation:
y^2-7y-3y+21=0
y(y-7)-3(y-7)=0
(y-7)(y-3)=0
y-7=0,y-3=0
y=7,y=3
y=(3,7)
for quadratic equation 2
16p^2-8p+1=0
16p^2-4p-4p+1=0
4p(4p-1)-1(4p-1)=0
(4p-1)twice=0
4p-1=0,4p-1=0
4p=1
p=1/4 twice
for quadratic equation 3
x^2-400=0
x^2=400
x=√400
x=20
for quadratic equation 4
-16m^2-8m-1=0
multiply the equation by -
16m^2+8m+1=0
16m^2+4m+4m+1=0
4m(4m+1)1(4m+1)=0
4m+1=0 twice
m=-1/4 twice
for quadratic equation 5
-3n^2+75=0
divide both side by -3
-3n^2/-3=-75/-3
n^2=25
n=√25
n=5
Answer:
The required volume is 5 ml.
Step-by-step explanation:
Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.
To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?
Solution :
According to question we use the formula,

The percentage of a blood alcohol level is 0.100%
The total volume of the blood is V=5L=5000 ml.
Substitute the value in the formula,




Therefore, the required volume is 5 ml.
Im pretty sure its x less-than-or-equal-to 3
Answer:

Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.

In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.

Simplify,

A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
The answer should be 3, -1