Answer:
Hi there!
The following answers:
3. 7 c > 3 (1/4) pt 4. 5 gal > 18 qt
5. 45 cm = 450 mm 6. 4.5 km < 5000 m
Step-by-step explanation:
There are 2 cups in one pint.
There are 4 quarts in one gallon.
One kilo meter is 1000 meters.
Answer:
C
Step-by-step explanation:
We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square
The balance beam is balenced
Let x be the square mass
- x+5 = 7 substract five from each side
- x+5-5 = 7-5
- x = 2
The solution is 2
C fits perfectly what we prooved
ANSWER
The possible rational roots are:

EXPLANATION
According to the rational root theorem, the possible rational roots of the polynomial,
are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.
Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.
For
, we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.
The same thing applies to
also.
As for
, 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.
Answer:
d. The equation has one solution and there is not enough information to determine the direction of the parabola.
Step-by-step explanation:
For a general quadratic equation
y = ax² +bx +c
the solution is

The discriminant (D) is the part of the quadratic formula underneath the radical: b² - 4ac.
D tells us whether there are
- two different real solutions
- two identical real solutions ("one solution")
- two complex solutions.
If D= 0,

and there are two identical solutions ("one solution").
The direction of the parabola depends on the sign of a.
That information is not given, so we cannot determine the direction of the parabola.