Z is directly proportional to x, that means :
z = k.x, with k is the coefficient of proportionality:
Let calculate k:
When x = 5, z = 55. Plug in:
55 = k.5 → k=55/5 ; k =11
The value of z when = 12 is : z= kx; z = 11(12) and z = 132
Answer:
Fast
Step-by-step explanation:
1/3 hour is 20 minutes
so that means it will take her 40 minutes to make the whole scarf.
It’s name would be a monomial because it only has 1 term. (Terms are departed by addition or subtraction sign) The degree would be the highest exponent in the polynomial, in this case we only have 1 term so the degree of that term is 2
Dilation with scale factor of 3= E.
translation 3 units up= D.
translation 3 units right= B.
horizontal stretch by a factor of 3= A.
vertical stretch by a factor of 3= C.
translation= its move places, so you are adding
stretch= it changes shape. you can either stretch it horizontally or vertically so you are multiplying
going up and down/ vertically is the y-axis
going left and right/horizontally is the x-axis
hope this helped!
y = -3(x<span> - 2)^2 + 1 </span>x<span>-coordinate of vertex: </span>x<span> = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 </span>Vertex form: y = -3(x<span> - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(</span>x^2 - 4x + 4) + 1 = -3x<span>^2 + </span>12x<span> - </span>11<span>. </span>