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2 years ago

What is the solution of...

Mathematics

2 answers:

Dafna11 [192]2 years ago

4 0

The answer is x= -1.

jeyben [28]2 years ago

3 0

The solution is X= -1

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The length of a rectangle is one meter more than 4 times its width. Find the dimensions if the perimeter is 52 meters

vodka [1.7K]

$l=4w+1\\
2l+2w=52\\\\
2(4w+1)+2w=52\\
8w+2+2w=52\\
10w=50\\
w=5\\\\
l=4\cdot5+1\\
l=21$

5 m and 21 m

4 0

2 years ago

I need help on how to do this!!!?

liraira [26]

Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.

Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.

Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.

Going from 2/5 to 4/10 has us multiply top and bottom by 2.

-----------

Similarly, 1/2 = 5/10 after multiplying top and bottom by 10

The original expression 2/5 + 1/2 turns into 4/10 + 5/10

Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10

<h3>Answer: 9/10</h3>

3 0

3 years ago

I need your help guys help me differentiate this question

Elden [556K]

Answer:

$6((4 {x}^{3} - 5x + 1) ^{ - 4} + 4 {x}^{10} + 4) ^{5} \times (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9}$

3 0

3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."

SVEN [57.7K]

"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.

8 0

3 years ago