Answer:
x = -1
Step-by-step explanation:
-4(3x-7) =40
Divide each side by -4
-4(3x-7)/-4 =40/-4
3x-7 = -10
Add 7 to each side
3x-7+7 = -10+7
3x = -3
Divide each side by 3
3x/3 = -3/3
x = -1
Answer:
2108
Step-by-step explanation:
Divide 67,456 by 32, using long division.
1) How many times 32 go into 67? (2 times, with a remainder of 3)
2) Bring down the 4.
3) How many times does 32 go into 34? (1 time, with a remainder of 2)
4) Bring down the 5
5) How many times does 32 go into 25? (0 times, so write 0)
6) Bring down the 6.
7) How many times does 32 go into 256? ( 8 times, no remainder)
8) Your answer is 2108
Answer:
Y = 125
Step-by-step explanation:
Y is directly proportional to X^2
Mathematically,
Y ∝ X²
Y = kX²
Where k = Constant of Proportionality
Step 1
If y = 45 when x = 3
We solve for k
Y = kX²
k = Y/X²
k = 45/3²
k = 45/9
k = 5
Step 2
find y when x = 5
Y = kX²
k = 5, X = 5
Hence,
Y = 5 × 5²
Y = 125
Answer:
9
Step-by-step explanation:
Because 3 letter to find that just do 3 times 3 which = 9
Hope This Helped
A second degree polynomial function has the general form:
, where
.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where
.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)
.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is
Remark: It is also possible to solve the problem by considering the form
directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is