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Luba_88 [7]
2 years ago
6

A grocery store has a shelf with half gallon containers of milk. What type of number best represents the total number of gallons

?
Mathematics
1 answer:
nadya68 [22]2 years ago
3 0
A fraction best represents the total number of gallons
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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where
Setler79 [48]

Answer:

k=-16,k=-8,k=8,k=16

Step-by-step explanation:

We are given quadratic equations as

x^2+kx+15

and it can be factored as

=(x+a)(x+b)

now, we can multiply factor term

(x+a)(x+b)=x^2+(a+b)x+ab

now, we can compare

x^2+(a+b)x+ab=x^2+kx+15

so, we get

k=a+b

ab=15

we are given that

'a' and 'b' are integers

so, we can find all possible factors

15=(-1\times -15),(1\times 15)

15=(-3\times -5),(3\times 5)

so, we can find k

At (-1\times -15):

k=a+b

we can plug values

k=-1-15

k=-16

At (1\times 15):

k=a+b

we can plug values

k=1+15

k=16

At (-3\times -5):

k=a+b

we can plug values

k=-3-5

k=-8

At (3\times 5):

k=a+b

we can plug values

k=3+5

k=8

So, values of k are

k=-16,k=-8,k=8,k=16

6 0
3 years ago
6x + 4<br> What tipe of polynomial is this one?
Mkey [24]

Answer:

This is a binomial.

Step-by-step explanation:

Bi means two. Therefore, since this polynomial only has two integers it is a binomial.

5 0
2 years ago
SOMEONE HELP ASAP WITH NUMBER 4 PLEASE.
labwork [276]

Answer:

top stereo bottom toaster

Step-by-step explanation: toaster flings food using gravity boom ur welcome ;)

6 0
2 years ago
Solve the literal equation for y.
sattari [20]

Answer:

2B / (mx) = y

Step-by-step explanation:

B = 1/2 mxy

Multiply each side by 2

2B = 2* 1/2 mxy

2B = mxy

Divide each side by mx

2B / (mx) = mxy / (mx)

2B / (mx) = y

4 0
2 years ago
Read 2 more answers
Solve the following system of equations:
Vladimir79 [104]

Answer:

<u><em>(-1,1)</em></u>

Step-by-step explanation:

We can solve this by either graphing and finding ther point the lines intersect, or mathematically,  I'll do both.

<u>Graphing:</u>

<u>Mathematically:</u>

−2x + 4y = 6

y = 2x + 3

See the attached graph.  The lines intersect at (-1,1)

--------------------

I'll rearrange the first equation (to make it easier for me):

−2x + 4y = 6

4y = 2x + 6

y = (1/2)x + 1.5

Now lets substitute the second equation into the first so that we can eliminate y:

y = 2x + 3

[(1/2)x + 1.5] = 2x + 3

- (3/2)x = (3/2)

x = -1

If x = -1:

y = 2(-1) + 3

y = 1

The solution is x = -1 and y = 1, or (-1,1)

=================

Both approaches give us (-1,1), the solution to the system of equations.  It is the only point that satisfies both equations.

3 0
1 year ago
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