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Masja [62]
3 years ago
7

Charlie solved an equation, as shown below:

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0
Part A:  Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side.  Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself.  The problem should have worked out like this...

Step 1:  5x = 30
Step 2:  x = 30/5
Step 3:  x = 6

Part B:  There is only 1 solution for this problem.
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Write the equation in standard form for the circle with center (0, -6) and radius 7.
LUCKY_DIMON [66]

Step-by-step explanation:

the equation of circle is given by

(x - h) {}^{2} + (y - k) {}^{2}  =  {r}^{2}  \\ (x - 0) {}^{2}  +  {(y + 6)}^{2}  =  {7}^{2}  \\  {x }^{2}  +  {y}^{2}  + 12y + 36 = 49 \\  {x  }^{2}  +  {y}^{2}  + 12y = 13

4 0
2 years ago
The function f(x) = (x - 4)(x - 2) is shown.
agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

6 0
3 years ago
Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have
harina [27]
If \frac { 3 }{ 4 } is left, that means \frac { 1 }{ 4 } was spent. So \frac { 1 }{ 4 } of the total amount is equal to 39.. Let's say x to the total amount. \frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\

4 0
3 years ago
Read 2 more answers
The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image
Levart [38]

Answer:

ΔABC was translated right 4 units and down 4 units.

Step-by-step explanation:

A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)

So, the transformation is (x, y) ⇒ (x +4, y -4).

Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).

6 0
3 years ago
Read 2 more answers
Solve the inequality <br> -7&lt;3x+5 less than or equal to(no sign for that)7
olganol [36]

Answer:

x=-1

Step-by-step explanation:

-7 < 3(x) + 5 ≤  7

-7 < 3(-1) + 5 ≤  7

-7 < -3 + 5 ≤  7

-7 < 2 ≤  7

6 0
3 years ago
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