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marin [14]
3 years ago
11

X/6 = 10/9 improper fraction in its simplified form

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

\frac{x}{6}  =  \frac{10}{9}  \\   \therefore \: 9 \times x = 6 \times 10 \\ \therefore \:9x = 60 \\ \therefore \:x =  \frac{60}{9}  \\ \therefore \:x =  \frac{20}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{\therefore \:x =  6\frac{2}{3} }}

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Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30
fiasKO [112]

Answer:

3^1

Step-by-step explanation:

3^-5 * 3^6

When multiplying exponents with the same base, we can add the exponents

3^ ( -5+6)

3^1

7 0
3 years ago
Given g(x) = −3x + 4
Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

3 0
2 years ago
#1) Mrs. Ebanks planted two trees on a
uranmaximum [27]

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m

So, the distance between the two trees is 12.64 m.

8 0
3 years ago
What is the gradient of the graph shown?
sladkih [1.3K]

Answer:

gradient = \frac{1}{3}

Step-by-step explanation:

calculate the gradient m using the gradient formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = \frac{2-0}{0-(-6)} = \frac{2}{0+6} = \frac{2}{6} = \frac{1}{3}

3 0
1 year ago
What does a 23/100 reduced to?
natima [27]

Answer:

the answers is nothing because 23 is only divisible by its self

Step-by-step explanation:

4 0
3 years ago
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