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2 years ago

Solve for x will give brainlest

Mathematics

2 answers:

xxMikexx [17]2 years ago

5 0

Answer:

B.) $x$

Step-by-step explanation:

$3.4>x +2/3\\\rule{150}{0.5}\\\\3.4 \rightarrow 3\frac{2}{5} \rightarrow\frac{17}{5}\\\\\frac{17}{5}>x + \frac{2}{3}\\\\\frac{17}{5} - \frac{2}{3} > x + \frac{2}{3}- \frac{2}{3}\\\rule{150}{0.5}\\\\\boxed{\frac{17}{5} - \frac{2}{3}}\\\\\\LCM(3,5): 15\\\\ \frac{2}{3}\rightarrow \frac{2*5}{3*5}\rightarrow\frac{10}{15}\\\\ \frac{17}{5} \rightarrow\frac{17*3}{5*3}\rightarrow\frac{51}{15}\\\\\frac{51}{15} - \frac{10}{15} = \frac{41}{15}\\\rule{150}{0.5}\\ \frac{41}{15} > x\\\\$

$x < \frac{41}{15}\leftarrow \text{The sides are switched.}\\\\\text{41 can go into 15 2 times with 11 remaining.}\\\\\frac{41}{15}\rightarrow 2\frac{11}{15}\\\\\text{Therefore...} \\\\\boxed{x < 2\frac{11}{15}}$

Option B should be the correct answer.

Hope this helps.

Olenka [21]2 years ago

4 0

3.4 - 2/3 > x

2) simplify 3.4 - 2/3 to 8.2/3

8.2/3 > x

3) Simplify 8.2/3 to 2.733333.

2.733333 > x

switch sides

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2 years ago

Read 2 more answers

Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33

mojhsa [17]

Answer:

y = x² − x + 3

Step-by-step explanation:

Quadratic equation is:

y = ax² + bx + c

Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).

9 = a(-2)² + b(-2) + c

5 = a(-1)² + b(-1) + c

3 = a(0)² + b(0) + c

9 = 4a − 2b + c

5 = a − b + c

3 = c

We know c = 3, so substitute into the first two equations:

9 = 4a − 2b + 3

5 = a − b + 3

0 = 4a − 2b − 6

0 = a − b − 2

Solve by elimination or substitution.

b = a − 2

0 = 4a − 2(a − 2) − 6

0 = 4a − 2a + 4 − 6

0 = 2a − 2

a = 1

b = -1

Therefore:

y = x² − x + 3

6 0

3 years ago

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

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3 years ago

What is the length of the side of a regular octagon if a diagonal is 20 meters long?

Margarita [4]

Answer:

Step-by-step explanation:

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3 years ago

The table and the graph each show a different relationship between the same two variables, x and y:

Gelneren [198K]

Answer:

110

Step-by-step explanation:

The answer is 110

If the function for the table is y=90x and the function for the graph is y=80x, then at x=11, the table would be at (11, 990) and the graph at (11, 880) meaning that the y value of the table would be 110 more than the y value of the graph.

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2 years ago