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3 years ago

What is the value of the following expression -42(3.6)

Mathematics

2 answers:

LenaWriter [7]3 years ago

7 0

When numbers are written together like that, (other examples: 1/2(2), 4(8), 12(0.5)) It indicates multiplication.

When a negative number is multiplied by a positive number, the result will be negative.

-42 * 3.6 = -151.2

Novay_Z [31]3 years ago

3 0

Answer: -151.2

Reasoning: the equation is -42•3.6= ? Even though it’s a negative, you multiply regularly so you can just use the absolute value for when you multiply but when you get your answer, don’t forget to see if you put a negative or if it’s positive- 42
x 3.6
so, when you multiply you get 1512. BUT there’s a decimal. And since there’s only one other number after the decimal, you put the decimal in the answer one space over [in between the 1 & 2] so the answer would be 151.2 but since there are two different signs, and when you have two different signs, you make it negative. So in the end it’s - 151.2 :)

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The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.

nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.

With reference to table we get

$\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418$

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85$

and

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97$

∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31

4 0

3 years ago

HELP PLEASE<br> here’s the picture

bazaltina [42]

Answer:

Hey there,

(It would be good to note that i just learned how to simplify/solve algebraic expretions)

P=21+2w

P/21=2w

then we flip it

2w=p/21 which could also be

w=2(p/21) i think

5 0

2 years ago

A(x) = 2 (3x - 2)(x - 5)

PSYCHO15rus [73]

Answer:

Quadratic polynomial can be factored using the transformation ax

+bx+c=a(x−x

)(x−x

), where x

and x

are the solutions of the quadratic equation ax

+bx+c=0.

−x

−3x+5=0

All equations of the form ax

+bx+c=0 can be solved using the quadratic formula:

−b±

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

2(−1)

−(−3)±

(−3)

−4(−1)×5

Square −3.

2(−1)

−(−3)±

9−4(−1)×5

Multiply −4 times −1.

2(−1)

−(−3)±

9+4×5

Multiply 4 times 5.

2(−1)

−(−3)±

9+20

Add 9 to 20.

2(−1)

−(−3)±

The opposite of −3 is 3.

2(−1)

3±

Multiply 2 times −1.

−2

3±

Now solve the equation x=

−2

3±

when ± is plus. Add 3 to

−2

Divide 3+

by −2.

−

−3

Now solve the equation x=

−2

3±

when ± is minus. Subtract

from 3.

−2

3−

Divide 3−

by −2.

−3

Factor the original expression using ax

+bx+c=a(x−x

)(x−x

). Substitute

−3−

for x

and

−3+

for x

−x

−3x+5=−(x−

−

−3

)(x−

−3

)

EVALUATE

5−3x−x

2Quadratic polynomial can be factored using the transformation ax

+bx+c=a(x−x

)(x−x

), where x

and x

are the solutions of the quadratic equation ax

+bx+c=0.

−x

−3x+5=0

All equations of the form ax

+bx+c=0 can be solved using the quadratic formula:

−b±

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

2(−1)

−(−3)±

(−3)

−4(−1)×5

Square −3.

2(−1)

−(−3)±

9−4(−1)×5

Multiply −4 times −1.

2(−1)

−(−3)±

9+4×5

Multiply 4 times 5.

2(−1)

−(−3)±

9+20

Add 9 to 20.

2(−1)

−(−3)±

The opposite of −3 is 3.

2(−1)

3±

Multiply 2 times −1.

−2

3±

Now solve the equation x=

−2

3±

when ± is plus. Add 3 to

−2

Divide 3+

by −2.

−

−3

Now solve the equation x=

−2

3±

when ± is minus. Subtract

from 3.

−2

3−

Divide 3−

by −2.

−3

Factor the original expression using ax

+bx+c=a(x−x

)(x−x

). Substitute

−3−

for x

and

−3+

for x

−x

−3x+5=−(x−

−

−3

)(x−

−3

)

EVALUATE

5−3x−x

Step-by-step explanation:

7 0

2 years ago

Any number divisible by 3 is divisible by 6.

dimaraw [331]

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

4 0

2 years ago

Read 2 more answers

Question down below thanks

son4ous [18]

Answer:

Thanks mate !

8 0

2 years ago