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3 years ago

Simplify the expression 0.8y-1.5-0.2y+3.6

Mathematics

1 answer:

ladessa [460]3 years ago

6 0

Answer:

0.6y+2.1

Step-by-step explanation:

In this question, it is required to simplify the given expression i.e. 0.8y-1.5-0.2y+3.6. It can be done by combining like terms together.

Here y is a variable. We can combine y terms together such that we get :

$=(0.8y-0.2y)-1.5+3.6\\\\=0.6y+2.1$

Hence, the simplified expression is 0.6y+2.1

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Solve log2 ( x - 1 ) + log2 ( x + 1 ) = 3<br><br> check answers are in domain

alexdok [17]

The answer is x=3, It doesn't have any domain restrictions, Therefore it covers all real numbers x<span>∈R</span>

6 0

4 years ago

The integer -17 would BEST represent which of these events?

SSSSS [86.1K]

For a graph?

If it is for a graph I can help, otherwise you need more information.

8 0

3 years ago

An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach

Alexeev081 [22]

Answer:

h(x) = -16x² + 192x + 208

784ft

6 sec

13 sec

Step-by-step explanation:

h(x) = -16x² +vx + h $_{o}$

here v represent velocity

$h_{o}$ represent initial height of launch

h(x) = -16x² + 192x + 208

here a = -16

b = 192

c = 208

x = -b/2a

= -192/2(-16)

= 6

plug this value in the equation

h(x) = -16(6)² + 192(6) + 208

= 784ft

Plug h(x)=0 in the equation

0 = -16x² + 192x + 208

divide equation by -16

x² - 12x - 13 = 0

Factors

1x * -13x = -13

1x - 13x = -12

Factorised form

x² - 12x - 13 = 0

x² + x - 13x - 13 = 0

x(x+1) -13(x+1) = 0

(x+1)(x-13) = 0

x = -1

x = 13

Since time can not be negative so we will reject x = -1

3 0

4 years ago

A rabbit digs2/3of the garden.a puppy digs up2/6of the garden.who digs up more garden

loris [4]

Well let's convert 2/3 to fraction of 6ths, by multiplying top and bottom by 2

$\bf \cfrac{2\cdot 2}{2\cdot 3}\implies \cfrac{4}{6}
\\\\\\
\textit{which is larger }\cfrac{4}{6}\quad or \quad \cfrac{2}{6}?$

3 0

3 years ago

3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20

padilas [110]

I'll do a similar problem, and I challenge you to do this on your own using similar methods!

x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10

Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with

-36y-13z=-92
and
-48y-25z=-217

Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217

Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3

Dividing both sides by (7+2/3) to separate the z, we get
z= $\frac{282/3}{23/3} = \frac{282}{23}$

Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get
$y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}$

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
$x=23- \frac{217-25*282/23}{48}*5-2*282/23$

Good luck, and feel free to ask with any questions!

4 0

3 years ago