Please explain fully and i give brainiest thanks and 5 stars
2 answers:
Answer:
Step-by-step explanation:
The area of a rectangle is equal to , where
is the length of the rectangle and
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
Expand the first equation:
Substitute the second equation into the first ():
Solving for :
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Answer:
f(-6) = -14
Step-by-step explanation:
Hope this helps you.
The flat fee that the store charges is $14 and the cost for 7 hours is $56
A linear equation is on the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
let f for the total rental cost of a vacuum cleaner for x hours
Using the points (1, 20) and (3, 32) from the table:
The flat fee that the store charges is $14
The reasonable domain is 1 ≤ x ≤ 12
The cost for 7 hours is:
f(7) = 6(7) + 14 = 46
Find out more on linear equation at: brainly.com/question/14323743
Answer: " x = 1 + √5 " or " x = 1 − √5" .
______________________________________________________
Given:
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" x² − 2x − <span>4 = 0 " ;
______________________________________________
Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a
0" } ;
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
_______________________________________________________
The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a0"} ;
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Substitute our known values:
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→ x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √5 ;
_______________________________________________________
→ "x = 1 + √5" or "x = 1 − √5" .
_______________________________________________________
______________________________________________________
Given:
______________________________________________________
" x² − 2x − <span>4 = 0 " ;
______________________________________________
Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
_______________________________________________________
The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a
______________________________________________________
Substitute our known values:
______________________________________________________
→ x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √5 ;
_______________________________________________________
→ "x = 1 + √5" or "x = 1 − √5" .
_______________________________________________________