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3 years ago

Please help I need to show my work to

Mathematics

1 answer:

Sophie [7]3 years ago

8 0

1) x-intercept : (-3, -1) y-intercept : y = 2

2) m = 1/2 b = 2 equation : y = 1/2x + b

3) Both a function. Each input has only one output.

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

3 years ago

How many 3/4s are in 6

Pepsi [2]

Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!

7 0

3 years ago

Susan determined that the expression below is equal to 7.59 . 15.91 subtract 8.32

weqwewe [10]

The answer to your question is 7.59 so shes right

3 0

3 years ago

Convert F2 from hexadecimal to binary.

Yakvenalex [24]

Question:

"Convert F2 from hexadecimal to binary."

Answer:

11110010

Step-by-step explanation:

Hex F2 to decimal explained:

The value of HEX F2 in decimal is 242.

The value of HEX F2 in binary is 11110010.

2 2 X 160 = 2

F 15 X 161 = 240

HEX F2 = 242

The binary value is: 11110010

A hexadecimal number has base 16 (0,1,2,3,4,5,6,7,8,9 A,B,C,D,E,F).

basic hex to a decimal conversion table

Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

3 0

2 years ago

A fully-loaded truck is carrying grain to a storage silo. if the truck is 8 feet wide, 40 feet long, and 4 feet deep, how many b

lukranit [14]

8 x 40 x 4 = 1280 cubic feet

1.25 cubic feet = 1 bushel
1 cubic feet = 1/1.25 = 0.8
1280 cubic feet = 0.8 x 1280 = 1024 bushel

7 0

3 years ago

Read 2 more answers