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WITCHER [35]
4 years ago
9

What point on the number line below represents the opposite of -4

Mathematics
1 answer:
Vinvika [58]4 years ago
7 0
X is the opposite of -4
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Define a substitution method to solve the followingsysten of equation of y=2x-3, x+y=1
Ivan
I will solve you system by substitution

y = 2x - 3 ; x + y = 1

→Step 1: Solve y = 2x - 3 for y

→Step 2: Substitute 2x - 3 for y in x + y = 1:

x + y = 1 

x + 2x- 3 = 1

3x - 3 = 1 (Simplify both sides of the equation)

3x - 3  + 3 = 1 + 3 (Add 3 both sides)

3x = 4 
 
3x ÷ 3 = 4 ÷ 3 (Divide each side by 3)

x = 4/3

→Step 3: Substitute 4/3 for x in y = 2x - 3:  

y = 2x - 3 

y = 2 (4/3) -3 

y = -1/3 (Simplify both sides of the equation)

Answer: 

x = 4/3 and y = -1/3

∫Hope that helps∫
7 0
3 years ago
At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost?
4vir4ik [10]
The answer will be $13.72 for 7 bags of popcorn.

to find this answer, you first take 5.88 and divide it by 3 to find out how much one bag costs.

the answer to 5.88/3 is 1.96, so you multiply 1.96 by 7 to get the answer of how much 7 bags of popcorn will cost.

hope this helps!
4 0
3 years ago
Read 2 more answers
For the graph shown to the right, find (a) AB to the nearest tenth and (b) the coordinates of the midpoint of AB.
Shkiper50 [21]
AB =

\sqrt{( {4 -  (- 2))}^{2}  +  {( - 5 + 3)}^{2} }  =  \sqrt{40}  = 6.3
The midpoint os segment AB =

(( \frac{ - 2 + 4}{2} ) = the \: x \: coordinate \: of \: the \: midpoint \\  \\ ( \frac{ - 3 - 5}{2})) = the \: y \: coordinate \: of \: the \: midpoint
The midpoint is:

(1,-4)
8 0
3 years ago
If c(x) = 4x-2 and d(x) = x^2 + 5x is is (c•d) (x)
FinnZ [79.3K]
<h3>Answer: (c * d)(x) = 4x^3 + 18x^2 - 10x</h3>

Work Shown:

I'm assuming the dot means multiplication. If so, then,

(c * d)(x) = c(x)*d(x)

(c * d)(x) = [ c(x) ] * [ d(x) ]

(c * d)(x) = (4x-2)(x^2+5x) .... substitution

(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute

(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again

(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x

(c * d)(x) = 4x^3 + 18x^2 - 10x

3 0
3 years ago
A cube in Emily's closet where she stores her jewelry has a side length of 1 1/4 feet.
Gnom [1K]

<u>Answer:</u>

1.95 cubic feet

<u>Step-by-step explanation:</u>

We are given that Emily stores her jewelry in a cube and the cube has a side length of 1\frac{1}{4} feet.

1\frac{1}{4} feet in an decimal form is 1.25 feet.

We know that,

<em>volume of a cube = s^{3}</em>

where <em>s</em> is the side length of the cube.

So substituting this value of side length of cube in the formula to get:

Volume of cube = (1.25)^3 = 1.95 feet

3 0
3 years ago
Read 2 more answers
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