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nlexa [21]
2 years ago
6

Which inequality is represented on the number line shown?

Mathematics
1 answer:
maxonik [38]2 years ago
6 0

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
Channing bought a new bike that retails for $299. If the store is currently
Alenkinab [10]

it should be 271.94

3 0
3 years ago
Read 2 more answers
Please help last question and u get 15 points
makvit [3.9K]

81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.

The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.

Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22

For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27

P(A|B) = 0.22/0.27 = 0.814

multiplying by 100%, we obtain 81.4%

8 0
3 years ago
Can someone help me with this because I am struggling and if you don't mind show me the steps?
zubka84 [21]

Answer:

C) 1.5 in

Step-by-step explanation:

(7 + 1.5 + 1.5)(5 + 1.5 + 1.5) = 80

4 0
3 years ago
The graph of y=-4x+7 is:
luda_lava [24]
Y=-4x+7 is the eguationfor a line that crosses the y intercept at 7 and has a slope of -4 i would go with D
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3 years ago
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