Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Answer:w is greater than 23
Step-by-step explanation:
Given
The weight of the bucket was more than 23 pounds i.e.
It is w is greater than 23
Answer:
2000 dollars
Step-by-step explanation:
let's say each boy gets x dollars
each girl gets 100 more dollars than each boy, or 100+x dollars
money = total money amongst boys = x dollars for each boy = 5 * x as there are 5 boys
money = total money amongst girls = 100 + x dollars for each girl = (100+x) * 4 as there are 4 girls
set the two equal to each other
5*x = (100+x) * 4
expand
5x = 400 + 4x
subtract 4x from both sides to put all the variable terms on one side
x = 400
each boy gets 400 dollars
total money = 5 *x = 2000 dollars
