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Daniel [21]
3 years ago
12

How many x-intercepts does the graph of each quadratic equation have? Show your work.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

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Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $50. Now the cost is $59. What is the percent
kvv77 [185]

Answer: 18%

Step-by-step explanation: Percentage of 9 in 50=

9/50 × 100= 0.18×100= 18%

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8 0
3 years ago
Find the value of X! Please help!
nydimaria [60]
ANSWER

x = 8 \sqrt{3}

EXPLANATION

{h}^{2} = {y}^{2} + {4}^{2}
This implies that,

{h}^{2} = {y}^{2} + 16...eqn1

Also,

{h}^{2} + {x}^{2} = {16}^{2} ...eqn2

And

{y}^{2} + {12}^{2} = {x}^{2}

{y}^{2}={x}^{2} - 144 ...eqn3

Put equation 1 into equation 2.

This will give us,

{y}^{2} + 16 + {x}^{2} = {16}^{2}

{y}^{2} +{x}^{2} = {16}^{2} - 16

{y}^{2} +{x}^{2} =16 ( 16 - 1)

{y}^{2} +{x}^{2} =240...eqn4

We put equation 3 into equation 4,

{x}^{2} - 144+{x}^{2} =240

We simplify to get,

2 {x}^{2} = 384

{x}^{2} = 192

x = \sqrt{192}

x = 8 \sqrt{3}
4 0
3 years ago
g Suppose that you randomly selected 20 adults. If 18% of the population smoke, a) Using the Range Rule of Thumb, what is the mi
Gala2k [10]

Answer:

0.16

Step-by-step explanation:

The computation of the minimum no of usual smokers expected to get out of 20 adults is shown below:

Here the standard deviation is

= \sqrt{npq} \\\\= \sqrt{20\times 0.18 \times (1 - 0.18)}\\\\= \sqrt{20\times 0.18\times 0.82}\\\\= \sqrt{2.952}

= 1.72

Now the minimum no of smokers is

= np - 2\times 1.72\\= 20 \times 0.18 - 3.44\\\\= 0.16

6 0
4 years ago
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morpeh [17]
Jesse would be in the top 19.8%
7 0
3 years ago
Simplify 7 + (−3) <br> A -10<br> B -4<br> C 4<br> D 10
ANEK [815]

Answer:

4

Step-by-step explanation:

The plus and minus sign cancel each other out so it becomes 7-3=4

6 0
4 years ago
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