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3 years ago

Solve the inequality 5x - 4 > 4 - 3x

Mathematics

2 answers:

padilas [110]3 years ago

8 0

Step-by-step explanation:

5x-4>4-3x

5x+3x>4+4

8x>8

8x/8>8/8

x=1

olga55 [171]3 years ago

3 0

Answer:

x>1

Step-by-step explanation:

5x - 4 > 4 - 3x

Add 3x to each side

5x+3x - 4 > 4 - 3x+3x

8x -4 > 4

Add 4 to each sdie

8x-4+4 > 4+4

8x> 8

Divide each side by 8

8x/8 >8/8

x > 1

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3 years ago

In the diagram above, Z1 = 135º.<br> Find the measure of Z3.<br> Z3 = ?

Shkiper50 [21]

Answer:

Angle 3= 135

Step-by-step explanation:

Angle 3=Angle 1 because they are corresponding angles meaning they are equal and on the same side of the traversal.

Hope this helped and the answer was right in the question

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3 years ago

Read 2 more answers

Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

EleoNora [17]

Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
$(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})$
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$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
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$\sqrt{x^2 + x} \leq x + \frac{1}{2}$

From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
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3 0

3 years ago

What’s the answer to this?

kirza4 [7]

P would then equal (-4,7) after the reflection

Don’t let R confuse you as it stands for Reflection. In this question you want to do a reflection across the y-axis.

The formula for reflection across the y-axis is (-x,y). In meaning as you cross the y-axis you y-value will always stay the same while your x-value with the opposite of what it is currently.

With that being said you want to plug in your values from point P to the formula which will leave you with (-4,7)

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3 years ago

PLS IM SO STUCK ITS MATH

timofeeve [1]

Answer:

y-intecept: (0,14), x-intercept: (-8,0)

Step-by-step explanation:

Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.

$-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14\\$

Now we have our y-intercept, 14

To solve for the x-intercept, all we have to do is set y to 0 and solve for x:

$0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x$

Therefore our x-intercept is -8.

To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).

For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)

5 0

2 years ago

Solve the inequality 5x - 4 > 4 - 3x​

Solve the inequality 5x - 4 > 4 - 3x