The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
(1,11)
Step-by-step explanation:
Given expression
y=8x+3
Substitute any values of x
Here, we are substituting x=1
⇒y=8x+3
y= 8+3
y=11
⇒ordered pair=(1,11)
Answer:
Step-by-step explanation:
See attachment for proper question
From the attachment, triangle DEF is an image of ABC
By comparing the position of the angles, the following sides are similar
AB to DE
AC to DF
BC to EF
By dividing the similar sides, we calculate the scale of dilation.
To calculate DF, we make use of sides AC and DF as comparison:
Substitute 2 for Scale and 2 for AC
Make DF the subject
Answer:
15 different combinations
Step-by-step explanation:
5*3=15
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