Answer:
y=x^2+7x+4
Step-by-step explanation:
because the sign before x^2 is positive, the graph would concave up, if there's only one intercept, it has to be the vertex. the vertex is the critical point.
solve every make the derivative of each function equals zero, you get the x where the vertex shall be, then get this"x" into y=x-5 see if the y in y=x-5 is equal to y=x^2+6x+9 or other options.
let me give u an example.
for y=x^2+x-4, the critical point shall be 2x+1=0,x=-1/2, and the y is -4.25,
if you plug x=-1/2 into y=x-5, it's -5.5, -5.5 doesn't equal to -4.25
Answer:
To the nearest centimeter
Radius= 5 cm
Step-by-step explanation:
Rate of filling balloon= 100cm³/s
Time to feel the balloon= 6 s
Volume of the filed balloon
= Rate*time
= 100*6
= 600 cm³
Volume of balloon= 4/3πr³
Volume of balloon=600cm³
600= 4/3πr³
(600*3)/4π= r³
1800/4π= r³
450/π= r³
143.239 = r³
5.232= r
To the nearest centimeter
Radius= 5 cm
Answer:
x = 4/15
Step-by-step explanation:
Step 1: Define
j(x) = -45x + 7
j(x) = -5
Step 2: Substitute and Evaluate
-5 = -45x + 7
-12 = -45x
x = 4/15
Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
#teamtrees #WAP (Water And Plant)
–2x + 4y = –7 . . . . . (1)
y = -1/2x + 5 . . . . . . (2)
Putting (2) into (1), we have:
-2x + 4(-1/2x + 5) = -7
-2x - 2x + 5 = -7
-4x = -7 - 5 = -12
x = -12/-4 = 3
y = -1/2(3) + 5 = -3/2 + 5 = 7/2
Hence, the system has one solution.
