That number is 98. Your Welcome
Answer:
Step-by-step explanation:
<u>Given function:</u>
- f(x) = -x² + bx - 65 with maximum value of 35
<u>To find </u>
<u>Solution:</u>
Maximum value is obtained at vertex as a < 0
<u>Vertex coordinate of x is:</u>
- x = -b/2a = -b / -2 = 1/2b
<u>Solving for b:</u>
- 35 = - (1/2b)² + b(1/2b) - 65
- - 1/4b² + 1/2b² = 100
- 1/4b² = 100
- b² = 400
- b = √400
- b = ± 20
See attached
3 x 2 is 6. 6 x 5 is 30.. There you go, the answer is 30.
Answer:
There are 209 4-digit nu numbers with 17 as consecutive digits
Step-by-step explanation:
17xx xx represent 00 through 99, a set of {100} members.
y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}
ww17 which includes 10 thru 99, a set of {90}
Add 100+90+10+9 to get 209 possible combinations.
Answer:
the scale factor k is between 0 and 1
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation with the larger image than initial figure is called an enlargement.
A dilation that the smaller image than initial figure is called a reduction.
- If the scale factor k is greater than 1, the image is an enlargement
- If the scale factor k is between 0 and 1, the image is a reduction
- If the scale factor k = 1, the figure and the image are congruent
Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.
