<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>
<em>So the constant c is -2 and that means the value of f(-4) is</em>
<em>f(-4)=-2(-4)+3=8+3=11</em>
<em />
<em>Thus, the value of f(-4) is 11.</em>
<em />
<em>About why does "c" have to be -2, here's the proof.</em>
<em>Given y = f(x), therefore.</em>
<em>y=cx+3</em>
<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>
<em>1 - 3 = c and therefore, -2 = c #</em>
<em>So this is the proof that c = -2</em>
Since they are similar, the dimensions are in the same ratio. L1 = 5, L2 = 15, so they are in a 3:1 ratio. So if V1 = 60, then W1×H1 = 60/5 = 12
W2 must also be 3×W1 and H2 3×H1, and
3×3 = 9. So take 12×9 (W×H1×9) ×15 (L2) = V2
V2 = 12×9×15 = 1620 cm^3
Let me know the right answer when you find out!
Answer:
Cost of each daylilies = $3
Cost of each ivy pot = $3
Step-by-step explanation:
Given:
Cost of 4 daylilies and 4 ivy = $24
Cost of 4 daylilies and 8 ivy = $36
Find:
Cost of each daylilies
Cost of each ivy pot
Computation:
Assume;
Cost of each daylilies = a
Cost of each ivy pot = b
So,
4a + 4b = 24....... eq 1
4a + 8b = 36 ....... eq 2
Eq2 - Eq1
8b - 4b = 36 - 24
4b = 12
b = 3
So,
Cost of each ivy pot = $3
4a + 4b = 24
4a + 4(3) = 24
4a + 12
a = 3
Cost of each daylilies = $3
Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
