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yarga [219]
3 years ago
5

(a) Solve. 3x – 4 = x + 5

Mathematics
1 answer:
exis [7]3 years ago
4 0

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

3x - 4 = x +5      (1) subtract x

2x - 4 = 5        (2) subtract 5

2x + 1              (3) divide by 2

x = 1/2 or 0.5

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NEED HELP IMMEDIATELY!! PLEASE
Monica [59]

Answer:

8/3

hope this helps!!!

Step-by-step explanation:

1 3/5 = 8/5

1 1/5 = 6/5

8/5=6/5*1/2*h

6/10h=8/5

h=8/3

8 0
2 years ago
Read 2 more answers
1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?
Bess [88]

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0
2 years ago
The table shows how many males and females attended two different movies. How would you find the joint relative frequency of bei
kirza4 [7]

Answer:

B. Divide 124 by 229.

Step-by-step explanation:

Given the table

\begin{array}{cccc}&\text{Action}&\text{Drama}&\text{Total}\\ \\\text{Male}&105&124&229\\ \\\text{Female}&99&151&250\\ \\\text{Total}&204&275&479\end{array}

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.

The total number of males =229

The number of males that like drama =124

So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.

8 0
3 years ago
Read 2 more answers
Factor 2m^3-12m^2+18m completely
Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

2 {m}^{3}  - 12 {m}^{2}  + 18m

= 2( {m}^{3}  - 6 {m}^{2}  + 9m)

= 2m( {m}^{2}  - 6m + 9)

Next you have to factorise the brackets :

{m}^{2}  - 6m + 9

=  {m}^{2}  - 3m - 3m + 9

= m(m - 3) - 3(m - 3)

= (m - 3)(m - 3)

=  {(m - 3)}^{2}

So the final answer is :

2m {(m - 2)}^{2}

6 0
3 years ago
Read 2 more answers
10. An expression is shown.
dolphi86 [110]

Answer: -0.25n-0.15

Step-by-step explanation:

simplify

0.5n+0.3-0.75n-0.45

Combine like terms

-0.25n-0.15

6 0
1 year ago
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