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Evgen [1.6K]
3 years ago
9

Factor Completely. 30r^2 + 30r + 75.

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

15(2r^2+2r+5)

Step-by-step explanation:

I'm more of a guess and check type of person, but 15 x 2r^2 = 30r^2, 15 x 2r = 30r, and 15 x 5 = 75

You might be interested in
Please help quickly.Thanks :)
Klio2033 [76]
Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90

This cancels the y’s out which leaves us with

6x=-63
&
-15x=90

x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6

Then you plug in x into any equation you’d like to find y.

Let’s plug in - 10.5 into 6x... equation.

6(- 10.5)-15y=-63

63-15y= -63
-63 -63

-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!

But the correct answer is the first one north. Sorry if I’m doing too much hahah


If I’m confusing here’s the right answer...


6x-15y= -63
-15x+15y=90


5 0
3 years ago
Jonathan's age is 1/3 Belinda's age now in 12 years Belinda will be m years old write an algebraic expression to represent Brend
vodomira [7]

Answer:

Kindly check explanation

5 years from now, Johnathan will be (5 + 4) = 9 years

Step-by-step explanation:

Let Belinda's age = x

Jonathan's age =1/3 x

In 12 years, Belinda will be m years old :

Belinda's age now = x

Jonathan's age 5 years from now, if m = 36

Belinda's age in 12 years, Belinda's age = m

x + 12 = 36

x = 36 - 12

x = 24 years

Hence Belinda's age now is 24

Jonathan's age now is (1/3) * 12 = 4 years

Hence, 5 years from now, Johnathan will be (5 + 4) = 9 years

5 0
3 years ago
What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
4 years ago
If 5 becomes 11 and 12 becomes 25, what does 15 become?
Amiraneli [1.4K]

Answer:

31.

Step-by-step explanation:

5+5 = 10 + 1 = 11

12 + 12 = 24 +1 = 25

15 + 15 = 30 + 1 = 31

I don't know I tried to see if that was the pattern. It checks out math wise.

5 0
3 years ago
Read 2 more answers
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
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