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Romashka-Z-Leto [24]
3 years ago
9

HELP!!!!!!!!!!!!!

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

P'(7,0)Q'(2,1) R'(12,-6)

Step-by-step explanation:

P(3,5)------>P'(3+4,5-5)

P'(7,0)

Q(-2,6)----->Q'(-2+4,6-5)

Q'(2,1)

R(8,-1)------>R'(8+4,-1-5)

R'(12,-6)

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What is the y-intercept of the line shown?
Marta_Voda [28]

Answer:

y-intercept = 3

Step-by-step explanation:

value that's on the y - axis

4 0
3 years ago
Use the Ratio Test to determine whether the series is convergent or divergent.
natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

= |-3n³/2(n+1)³|

= 3n³/2(n+1)³

= (3/2)[1/(1 + 1/n)³]

Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity

= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity

= 3/2 × 1

= 3/2

The series is therefore, absolutely convergent, and the limit is 3/2

3 0
3 years ago
How many solutions does the equation 12 (x + 3 ) = 4 (2x + 9 ) +4x have?
Vera_Pavlovna [14]

Answer:

Infinitely many solutions.

Step-by-step explanation:

12(x+3)=4(2x+9)+4x

12x+36=8x+36+4x

12x+36=12x+36

infinitely many solutions

3 0
3 years ago
The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost
Romashka [77]

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

x+y =100 \ \ \ \ equation \ 1

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

4.5x+20y =822 \ \ \ \ equation\ 2

Multiplying equation 1 by 4.5 we get;

4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372

Dividing both side by 15.5 we get;

\frac{15.5y}{15.5}= \frac{372}{15.5}\\  \\y =24

Substituting the value of y in equation 1 we get;

x+y =100\\\\x+24 =100\\\\x =100-24 =66

Hence the town recreation department ordered 66 baseballs and 24 bats.

5 0
3 years ago
[ INDICES]- Simplify :
just olya [345]

Answer is in the attachment.

note:

make a slight change in question 1;

7 0
2 years ago
Read 2 more answers
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