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Maslowich
3 years ago
8

Solve the inequality 2r^2-13x+15<0​

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
8 0

Answer:

x > 2r^2/13 + 15/13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x > 2r^2/13 + 15/13

Reika [66]3 years ago
7 0

Answer:   \bold{\dfrac{3}{2}

<u>Step-by-step explanation:</u>

First, factor the inequality and solve for x to find the zeros.

Then, choose test points on the outside of those values and between them.

Plug them in to determine which one(s) yield a negative (< 0).

2x² - 13x + 15 < 0

(2x - 3)(x - 5) < 0

2x - 3 = 0     and      x - 5 = 0

      x = 3/2     and        x = 5

I choose the left test point of 0            (2(0) - 3) × (0 - 5) > 0  (+)

I choose the between test point of 2   (2(2) - 3) × (2 - 5) < 0  (-)

I choose the right test point of 6          (2(6) - 3) × (6 - 5) > 0  (+)

<u />

<u>Illustration of Graph:</u>

     +                               ---                                  +

←----|----------o----------------|---------------o--------------|----→

     0          3/2                2                5              6

Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.

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Suppose a triangular desk will be built in the corner of that room. It will be in the shape of a 30-60-90 right triangle. The le
Iteru [2.4K]

Answer:

<u>Longer leg = 5 feet</u>

<u>Shorter leg ≅ 2.89 feet</u>

<u>Hypotenuse ≅ 5.78 feet</u>

Step-by-step explanation:

Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1:  √3  :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.

Upon saying that, we can find the length of the legs of the triangle given:

Longer leg = 5 feet

Shorter leg * √3 = 5

Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet

Hypotenuse = 2 * Shorter leg

Hypotenuse = 10√3/3 ≅ 5.78 feet

8 0
3 years ago
Is this equation possibale<br> 3+x=2-3x
Archy [21]
3-2= -3x-x
1 = -4x
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Yes it is possible
4 0
3 years ago
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A divided by 9= -4 plss solve
iragen [17]

Answer:

<h3>\boxed{ \bold{ \sf{ \huge{ \boxed{ a =  - 36}}}}}</h3>

Step-by-step explanation:

\sf{ \frac{a}{9}  =  - 4}

Apply cross product property

⇒\sf{a  =  - 4 \times 9}

Multiply the numbers

⇒\sf{a =  - 36}

Hope I helped!

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3 years ago
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Answer:

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Step-by-step explanation:

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Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

<h3>How to Identify the Graph of the Equation of a Line?</h3>

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

Learn more about graph of a line on:

brainly.com/question/10790818

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