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a_sh-v [17]
3 years ago
13

-2/3x + 9 = 4/3x -3​

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.

9 + 3 = 4/3x + 2/3x

Next, add the like terms.

9+3=12

When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.

4/3x+2/3x=6/3x

So,

12 = 6/3x

Then, we have to divide each side by 6/3 to make the x alone.

12/6/3 = 6/3x/6/3

To divide with fractions, multiply the reciprocal (opposite number on number line):

12/1·3/6 = x

36/6 = x

6 = x

Tatiana [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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Use the first and last data points to find the slope intercept equation of a trend line.
andriy [413]

Answer:

y = \frac{16}{3}x-79

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points (x_1,y_1) and (x_2,y_2) are lying on a line then slope 'm' of the line will be,

m = \frac{y_2-y_1}{x_2-x_1}

   = \frac{47-15}{7-1}

   = \frac{32}{6}

   = \frac{16}{3}

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \frac{16}{3}(x-15)

y = \frac{16}{3}x-\frac{16}{3}(15)+1

y = \frac{16}{3}x-80+1

y = \frac{16}{3}x-79

4 0
3 years ago
Solve this inequality for x. 81-1 1/5 x <55
katen-ka-za [31]

Answer:

A. x > 21 2/3

Step-by-step explanation:

x is greater than 21 and two thirds

i did the math :]

4 0
3 years ago
Answer correctly please
Paul [167]

Answer:

\$272,49

Step-by-step explanation:

7. \displaystyle /text{The answer makes sense because since the depreciation rate is 15%, we know that we need to use the "exponential decay" formula.}

6. \displaystyle /text{After a depreciation rate of 15% for the past 8 years, the stock is now worth approximately $272,49.}

5. \displaystyle 1000[0,85]^8 = 272,490525 ≈ \$272,49

4. \displaystyle 1000 = a \\ -15\% + 100\% = 1 - r; 85\% = 1 - r \\ 8\:years = time\:[t]

3. \displaystyle /text{We need to use the "Exponential Decay" formula} - f(t) = a[1 - r]^t, where a > 0

2. \displaystyle /text{How much is the stock worth after a depreciation rate of 15% per year?}

1. \displaystyle /text{initial amount: $1000, a depreciation rate of 15%, and a time period of 8 years}

I am joyous to assist you anytime.

5 0
3 years ago
The curved part of this figure is a semicircle. What is the best approximation for the area of this figure? 18+12.125π units² 36
andreyandreev [35.5K]

Answer:

18+12.125π units²

Step-by-step explanation:

The diameter of the semicircle can be found by the use Pythagoras theorem.

Δx²+Δy²=d²

Δx=3--1=4

Δy=3--6=9

d²=4²+9²

d=√(16+81)

Area=πr²/2

=π×(√(16+81)/2)²÷2

=[π×(97)/4]/2

=97π/8

=18+12.125π units²

97π/8 is equivalent to 18+12.125π units²

3 0
3 years ago
F(x) = 2(x + 4)^2 (x - 2)​
Kryger [21]

Answer:

3

Step-by-step explanation:

hope it helpz >-<

7 0
3 years ago
Read 2 more answers
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