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3 years ago

Find a counterexample to the conjecture: Any number that is divisible by 2 is also divisible by 4

1 answer:

6 0

Choose number 2, it is divisible by 2, $2:2=1$ but it is not divisible by 4, because $2:4=0,5$ but $0,5 \notin \mathbb Z$ .

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Factor completely: <br> x^3 - x^2 - 6x

PSYCHO15rus [73]

Answer:

$x(x-3)(x+2)$

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

$GCF=x$

2. Factor out the GCF and simplify.

$x(x^{2} -x-6)$

3. Factor $x^{2} -x-6.$

Which two numbers add up to -1 and multiply to -6?

Rewrite the expression using the numbers above.

$(x-3)(x+2)$

4. Done!

$x(x-3)(x+2)$

4 0

2 years ago

What is the next fraction in each of the following patterns?1/40,4/40,9/40,16/40,25/40...?

tresset_1 [31]

Let
a1=1/40
a2=4/40
a3=9/40
a4=16/40
a5=25/40
a6=?

we know that
a2-a1=4/40-1/40----> 3/40
a3-a2=9/40-4/40-----> 5/40
a4-a3=16/40-9/40----> 7/40
a5-a4=25/40-16/40---> 9/40

the difference is
3/40,5/40,7/40.9/40,....
3/40+[2/40]---> 5/40
5/40+[2/40]---> 7/40
7/40+[2/40]---> 9/40

the next will be
9/40+[2/40]-----> 11/40
so
the next term is 25/40+[11/40]------> 36/40

the answer is
36/40

5 0

3 years ago

The equation shows the cost, c, for a group attending a basketball game based on the number of people, p.How many people could a

Black_prince [1.1K]

Step-by-step explanation:

Read the note harder

5 0

3 years ago

A swimmer is looking for a fish, he dives down below 14

tensa zangetsu [6.8K]

Answer:

-5 feet below

Step-by-step explanation:

4 0

2 years ago

At a children's concert there were 80 boys. There were 1 1/2 times the number of girls as boys. What percentage of the total num

beks73 [17]

Answer:

60% are girls

Step-by-step explanation:

80 x 1.5 = 120 which is the amount of girls

120 out of 200 is 12/20 or 3.5 which is 60%

4 0

3 years ago