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Salsk061 [2.6K]
3 years ago
12

(2x + 3)" and solve for x

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

2x−3=x

Move all terms containing x

to the left side of the equation.

Subtract x

from both sides of the equation.

2x−3−x=0

Subtract x

from 2x

x−3=0

Add 3

to both sides of the equation.

x=3

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
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Can someone explain how to solve please ​
Karo-lina-s [1.5K]

Answer:

A

Step-by-step explanation:

you can just plug in the numbers until they come out equal

5 0
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emmainna [20.7K]

Answer:

(3,0.5)

Step-by-step explanation:

The given system has equations:

7x + 4y = 23 \\ 8x - 10y = 19

Let us multiply the second equation by 4 and the first equation by 10.

70x + 40y = 230 \\ 32x - 40y = 76

We add both new equations to get:

102x = 306 \\ x =  \frac{306}{102}  = 3

Put x=3 into the first equation and solve for y.

7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\  y =  \frac{1}{2}

The point of intersection is the solution to the system of equation which is (3,0.5)

8 0
3 years ago
A circle has a diameter of 22mm. What is its circumference ?
Artist 52 [7]

Answer:

22\pi

Step-by-step explanation:

Circumference = diameter * pi = 22 * pi

7 0
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What’s the reminder for 90 divide by 4
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The answer is 22.5 so the reminder will be 1/2 or .5

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