Answer:
D. g(x) = (x - 5)² + 3
Step-by-step explanation:
If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).
If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.
This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3
Answer:
(a <em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>+</u></em><em><u>7</u></em><em><u>a</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>)</u></em><em><u> </u></em><em><u>÷</u></em><em><u>(</u></em><em><u>a</u></em><em><u>+</u></em><em><u>3</u></em><em><u>)</u></em>
Answer:
Domain is the values that x can take. In terms of real numbers x can take any value and the function will make sense. Since this is linear function the range is not limited too. So the range and domain coincide and are (-infinity;infinity)
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
Answer:
-3.84
Step-by-step explanation:
