The given expression becomes undefined when y=5 or y = -3. The answer is option D.
Step-by-step explanation:
The value of the given expression becomes undefined when the denominator equals 0.
Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it .
Step 1
Equate the denominator to 0.
y^{2} - 2y -15 = 0
Step 2
Solve the above equation to get the value of y.
y^{2} - 2y -15 = 0
=> (y-5)(y+3) =0 [ Roots of the quadratic equation]
=> y = 5 or y = -3.
Hence when y = 5 or y = -3 the denominator becomes 0, which makes the expression (2y+7)/0 and hence it is undefined.
Answer:
the final copy should be 12% of the original picture.
Step-by-step explanation:
you multiply 20% by 60%
and you get 0.12 which is the same as 12%
Answer:
Both expressions equals to 32.
Step-by-step explanation:
You just plug in 5 for each expression: 12+4(5)=32, 4(5+3)=32.
Answer:
1. 1/4 because rectangle B takes up 1/2 of the space and the two triangles together take up 1/4.
2. 1/2, because it is twice as big as C, which takes up 1/4 of the space.
3. 1/8, because both A and D together take up 1/4 of the space, and they are both the same size
4. 1/3, because the triangles around it each take up 1/6 of the space
5. 1/6, because it is half as large as square J, which takes up 1/3 of the space
Step-by-step explanation:
(hope this helps!)
Answer:
<h2>X =
</h2><h2>Y = 5y.</h2>
Step-by-step explanation:
We need to find the translation for which, (-3, 1) becomes (1, 5).
-3 will become 1, if it is divided by -3.
Hence, the translation for x axis is X = .
1 will become 5, when it is multiplied by 5.
Hence, The translation for y axis is Y = 5y.