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2 years ago

Factor k 2 + 8k + 15. answers. (k + 1)(k + 15) (k + 8)(k + 7) (k + 3)(k + 5)

Mathematics

2 answers:

saw5 [17]2 years ago

6 0

k 2 + 8k + 15
= (k + 5)(k + 3)
answer is (k + 3)(k + 5) (last choice)

astra-53 [7]2 years ago

3 0

K² + 8k + 15 = (k+3)(k+5)

Answer is C

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Any one can help with this Venn Diagram question?.Please note that there is an another language, ignore except if you can unders

zloy xaker [14]

Answer:

(i) 30

(ii) 8

Step-by-step explanation:

Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.

Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.

We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.

Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.

We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.

Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).

We know that BMW got 36 votes, so:

20 + x + x + 2x = 36

20 + 4x = 36

4x = 16

x = 4

We know that Citroën got 34 votes, so:

20 + x + x + z = 34

20 + 4 + 4 + z = 34

28 + z = 34

z = 6

We know that Audi got 48 votes:

y + 2x + x + z = 48

y + 2(4) + 4 + 6 = 48

y + 18 = 48

y = 30

Finally, we know that the total number of voters is 100.

20 + 20 + x + x + 2x + y + z + n = 100

20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100

92 + n = 100

n = 8

8 0

3 years ago

What’s 7,040 divide by 3 using long division

gizmo_the_mogwai [7]

Answer:

Dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

Step-by-step explanation:

Given:

7,040 divide by 3 using long division.

Now, to divide using long division method:

Step 1: Divide 7 by 3. 3 x 2 =6.

So, 1 will be remainder.

Step 2: Bring 0 down next to 1. So, now the new number is 10 .

Divide 10 by 3. 3 x 3 = 9.

Remainder is 1

So, quotient is 23 till now.

Step 3: Bring 4 down next to 1. The number is now 14.

Divide 14 by 3. 3 x 4 = 12.

Thus, remainder is 2.

Step 4: Bring 0 next to 2. Getting the new number 20.

So, divide 20 by 3. 3 x 6 = 18.

Thus, the remainder is 2.

So, the quotient is 2346.

And the remainder is 2.

Therefore, dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

3 0

3 years ago

Read 2 more answers

Which function describes the arithmetic sequence shown?

Shkiper50 [21]

Answer: C.) f(x) = -2x + 5

If you start from x=1, you will see the patter follows -2x + 5

-2(1) +5 = -2+5 = 3
-2(2)+ 5 = -4 + 5 = 1
-2(3) + 5= -6 +5 = -1
And so on...

3 0

3 years ago

Read 2 more answers

09:30 to 17:00 minus 30 minutes How many hours is that ?

pentagon [3]

Answer:

7 hours

Step-by-step explanation:

9 : 30 to 17:00 = 7 hours 30 minutes

Minus 30 minutes = 7 hours

6 0

2 years ago

Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3

rosijanka [135]

Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.

4 0

2 years ago