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emmainna [20.7K]
4 years ago
13

4a−2(3a+8)=6 what is the answer

Mathematics
1 answer:
Tcecarenko [31]4 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{a =  - 11}}}}}

Step-by-step explanation:

\sf{4a - 2(3a + 8) = 6}

Distribute 2 through the parentheses

\longrightarrow{ \sf{4a - 6a - 16 = 6}}

Collect like terms

\longrightarrow{ \sf{ - 2a - 16 = 6}}

Move 16 to right hand side and change it's sign

\longrightarrow{ \sf{ - 2a = 6 + 16}}

Add the numbers: 6 and 16

\longrightarrow{ \sf{ - 2a = 22}}

Divide both sides by 2

\longrightarrow{ \sf{ \frac{ - 2a}{ - 2}  =  \frac{22}{ - 2}}}

Calculate

\longrightarrow{ \sf{a =  - 11}}

Hope I helped !

Best regards! :D

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anyanavicka [17]

Answer:

y = 3

Step-by-step explanation:

Since they both go through 3 for the y-coordinate that means the equation is just y = 3.

4 0
3 years ago
Find the slope of the line that passes through these points:
Deffense [45]
Use the slope formula:
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m = ------------ = ???
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6 0
4 years ago
Sandra bought 3 pounds of sweet potatoes for $4.89. What is the cost per pound of the sweet potatoes?
Masteriza [31]

Answer:

$1.63 per pound

Step-by-step explanation:

$4.89/3=$1.63

5 0
3 years ago
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Find the horizontal asymptote for y= 5x/x+6 . <br> y = 0 <br> y = −6<br> none<br> y = 5
gayaneshka [121]

Answer:

y

=

5

x

x

+

6

Find where the expression

5

x

x

+

6

is undefined.

x

=

−

6

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

1

m

=

1

Since

n

=

m

, the horizontal asymptote is the line

y

=

a

b

where

a

=

5

and

b

=

1

.

y

=

5

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

6

Horizontal Asymptotes:

y

=

5

No Oblique Asymptotes

image of graph

5 0
2 years ago
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Sholpan [36]

Answer:

$23

Step-by-step explanation:

20*.15=3

($3 is the tip)

20+3=23

5 0
3 years ago
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