Complete the following statements
1 answer:
ANSWER
See explanation.
EXPLANATION
The given expression is
The parent function is
We can see that the transformation is of the form:
This is a vertical upward shift of the parent function by k units.
The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 up by 5 units.
b) The graph of y= 10x^2 can be obtained from the graph y=x^2 by stretching vertically the graph of y=x^2 by a factor of 10.
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Answer:
1. Yes
2. Yes
Step-by-step explanation:
A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.
has only one term. So,
is a monomial.
Answer:
approximately 54.7% did not respond.
Step-by-step explanation:
Consider the provided information.
The college chooses 150 businesses at random from telephone listings.
Of these, 68 return the questionnaire.
That means 68 of them responded.
The number of people who did not respond are:
150-68=82
The number of people who did not respond are 82.
Now find the percentage of people who did not respond.
Hence, approximately 54.7% did not respond.
Answer:
Length, l = 11 ft.
Width, w = 9 ft.
Step-by-step explanation:
From the given data, the area of the rectangle = 99 ft².
Area of the rectangle = Length, l X Width, w
Here, Length, l = 7 more than twice the width
⇒ Length, l = 7 + 2w
Therefore, Area, A = 99 = (7 + 2w)w
⇒ 99 = 7w + 2w²
⇒ 2w² + 7w - 99 = 0
Solve the Quadratic equation using the formula: x = for the quadratic equation ax² + bx + c = 0.
Therefore, w =
Since, we get:
This gives two values of 'w', viz., w = ,
⇒ w = , -9.
We take the integer values.
If w = -9, then l = 2(-9) + 7
⇒ l = - 18 + 7 = - 11
Therefore, the length, l of the rectangle = - 11 ft.
and the width, w of the rectangle = - 9 ft.
Hence, the answer.