Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
The solution is .
Solution:
Given inequality:
Divide by 7 on both sides.
The solution is .
The image of the graph is attached below.
<h3>The expression for the length of fabric used for each doll is
</h3>
<em><u>Solution:</u></em>
Given that,
Margaret has 16 yards of fabric
she is making dresses for z doll
Therefore,
Total length of fabric = 16 yards
Number of dresses = z dolls
Therefore,
Thus, the expression for the length of fabric used for each doll is
Step-by-step explanation:
x=14-6y/3
substituting x=14-6y/3 into eqn 2
2(14-6y/3)+8y=2
multiplying through by 3
2(14-6y/3)×3 +8y×3=2×3
2(14-6y)+24y=6
28-12y+24y=6
28-12y=6
28-6=12y
22=12y
22/12=y
finding x
2x+8(22/12)=2
2x+44/3=2
2x=2-44/3
x=(-38/3)/2
×=-38/6