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svp [43]
2 years ago
11

5/4 (x-2)+2x-4=9 I need help with this please

Mathematics
2 answers:
MAXImum [283]2 years ago
4 0
1) distribute the 5/4 and subtract 9 from both sides

5/4x-5/2+2x-4-9=0

2)add/subtract common variables

3.25x-15.5=0

3) move the 15.5 to the other side

3.25x=15.5

4) divide both sides by 3.25 and you have x

x=4.77
marissa [1.9K]2 years ago
3 0

\dfrac 54 (x-2) +2x -4 = 9\\\\\implies \dfrac{5x-10}{4} +2x = 9 +4 \\\\\\\implies \dfrac{5x -10 + 8x}4 = 13\\\\\implies 13x -10 = 13 \times 4 =52\\\\\implies 13x = 52 +10  = 62\\\\\implies x = \dfrac{62}{13}

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The functions q and r are defined as follows
kolezko [41]

Answer:

98

Step-by-step explanation:

So we have the two functions:

g(x)=-2x-2\text{ and } r(x)=x^2-2

And we want to find the value of r(g(4)).

To do so, first find the value of g(4):

g(x)=-2x-2\\g(4)=-2(4)-2\\

Multiply:

g(4)=(-8)-2

Subtract:

g(4)=-10

Now, substitute this into r(g(4)):

r(g(4))\\=r(-10)

And substitute this value into r(x):

r(-10)=(-10)^2-2

Square:

r(-10)=100-2

Subtract:

r(-10)=98

Therefore:

r(-10)=r(g(4))=98

3 0
3 years ago
write an equation in point-point form for the line through the given point with the givedescribe how the graph of y | x| -4 is l
Digiron [165]
a) The point-slope form of the equation of a line through point (h, k) with slope m is
  y - k = m(x - h)

In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
  y + 7 = (-6/5)(x + 3)


b) The graph of
  y = |x|-4
represents a translation downward 4 units of the graph of
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It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).

4 0
3 years ago
Two houses sit along the southern shore of a lake. The distance between the houses is
Soloha48 [4]

Answer:

150÷48=3hrs and 125minutes

Step-by-step explanation:

speed =distance/time

4 0
2 years ago
A bag of corn tortilla chips costs 2.89 after a 15% discount. What is the original price?
Montano1993 [528]

Answer:

3.4

Step-by-step explanation:

Let the original price of the bag be = P, the selling price =2.89 after a 15% discount,

Then, Selling price= Original price- Discount on original price

2.89=P-P(0.15)

2.89=P(1-0.15)

2.89=0.85P

P=\frac{2.89}{0.85}

P=3.4

Thus, the original price was 3.4.

4 0
3 years ago
Read 2 more answers
X - 3/5 =10 give your answer as an improper fraction
elixir [45]

Answer:

53/5

Step-by-step explanation:

Multiply both sides by 5:      5x - 3 = 50

Add 3 to both sides:                   5x = 53

Divide both sides by 5:                x = 53/5

8 0
2 years ago
Read 2 more answers
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