Answer:
Step-by-step explanation:
The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.
Answer: Choice A) 0.25
How I got that answer:
Count out all of the boxes and you should find there are 8 total. Of this, only 2 boxes weigh less than 26 kg. So we have 2/8 = 1/4 = 0.25
Answer:
Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
Step-by-step explanation:
If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x
On Thursday, they made twice as many as any of the previous days.
= 2x
Hence:
x + x + x + 2x = 20 gallons
5x = 20 gallons
x = 20 gallons/5
x = 4 gallons
Note that:
Thursday = 2x
Hence, = 2 × 4 gallons = 8 gallons
Hence, Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
Answer:
5
Step-by-step explanation:
To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.
x + y = 17
x - y = 7
We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x
2x = 24
x = 12 (Divide both sides by 2)
Now that we know the value of x, we can substitute it into one of our original equations to solve for y.
12 + y = 17
y = 5 (Subtract 12 from both sides)
So, the smaller number is 5.