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KonstantinChe [14]
3 years ago
10

Twice a number added to another number is –8. The difference of the two numbers is 2. Find

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

-2 and -4

Step-by-step explanation:

→ Make variable's for each number

x is the first variable and y is the second

→ Form equations

2x + y = -8

x - y = 2

→ Solve

3x = -6

→ Divide both sides by 3

x = -2

→ Resubstitute that into one of the equations

-2 - y = 2

→ Add 2 on both sides

-y = 4 therefore y = -4

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Bill bought a piece of cloth that was 30 inches wide and 12 feet long. if the cloth cost $6 per square yard, then how much did i
Oksanka [162]
Let's figure out how many square yards you have by first converting all of the measurements into yards:
30 inches x( 1 yard/36 inches) = 30/36 yd = 5/6 yd
12 feet x (1 yard/3 feet) = 4 yards.

Now multiply length x width:
5/6 x 4 = 20/6 or 3 1/3 square yards.

Finally, multiply unit price by square yards:
$6 per sq yd x 3 1/3 sq yd = $20 cost
8 0
3 years ago
H(x) = 1/3x - 1 if h (15)
dalvyx [7]

Answer:

(

h

∘

f

∘

g

)

(

x

)

is known as a composite function. Here's how composite functions work:

let's say that  

x

=

1

. Your function  

g

(

x

)

=

1

3

(

x

)

now produces a  

y

output of  

1

3

, since  

g

(

1

)

=

1

3

(

1

)

. Within a composite function, the y-value of one function becomes the x-value of the next, like so:

g

(

1

)

=

1

3

⇒

f

(

1

3

)

=

17

3

⇒

h

(

17

3

)

=

17

Therefore,

(

h

∘

f

∘

g

)

(

1

)

=

17

Based on this, to find the function for  

(

h

∘

f

∘

g

)

(

x

)

(combined from right to left, by the way), simply replace  

x

in  

f

(

x

)

with the function  

g

(

x

)

, and replace  

x

in  

h

(

x

)

with the function of  

(

f

∘

g

)

(

x

)

, to get  

(

h

∘

f

∘

g

)

(

x

)

.

This, simplified, is equal to  

2

x

+

15

, and therefore  

(

h

∘

f

∘

g

)

(

1

)

=

2

(

1

)

+

15

=

17

Hope that helps!

5 0
3 years ago
It is said that 3 out of every 8 smartphones in the United States are iPhones.
Rudiy27
What they said at the top
4 0
4 years ago
4.5/w = 3 <br><br>what is the W?​
Oduvanchick [21]

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

\frac{4.5}{3}=\frac{3w}{3}

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

3 0
3 years ago
If anybody now this pls help my homework due TOMORROW
Nezavi [6.7K]

Answer:

<u><em>Part A:</em></u> D. y = (x + 1)(x+3)\\

<u><em>Part B:</em></u> C. 3x(x-3) = 0\\

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: y = (x + 1)(x+3)

Now plug in 0 for x.

y = (0 + 1)(0+3)\\

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: 3x(x-3) = 0

Now plug in x for 0 and solve:

3* 0 (0-3) = 0\\

0(-3) = 0\\

0 =0\\

This equation is true, now we check for the other value of x, 3.

3*3(3-3) = 0\\

9(0) = 0\\

0 =0\\

This is also true so that means this is the correct answer.

6 0
4 years ago
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