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slega [8]
3 years ago
12

What are the real numbers for x^2-3x+8=0

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

Has no real solution (only imaginary solutions)

Step-by-step explanation:

x²-3x+8=0

recall for a quadratic equation in the form

ax² + bx + c = 0

the if b²- 4ac is negative (i.e less than zero), then the equation has no real solutions.

in this case,

a=1, b = -3 and c=8

b²- 4ac,

= (-3)² - (4)(1)(8)

= 9 - 32

= - 23 (negative number hence no real solutions)

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What is the vertex of the graph of y = x^2+ 4x?
xxTIMURxx [149]

Answer:

(-2, -4)

Step-by-step explanation:

You can complete the square of the equation to get

y+(4/2)^2 = x^2+4x+(4/2)^2

y+4 = x^2 + 4x + 4

y+4 = (x+2)^2

y = (x+2)^2 - 4

This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)

6 0
1 year ago
The doghouse shown has a floor but no windows. Find the total surface area of the doghouse including the door.
Ivahew [28]
The answer is 243 , ik this because i did it and i got it correct
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2 years ago
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Mason compares two plans for an online book club.
horsena [70]

Answer:

Book clubs in the classroom: 10 tips for success

4/19/201746 Comments

Picture

Whether you’re considering a classroom book club for the first time, or are already guiding your students through their third book this year, here’s a list of benefits and some tips for success you can employ right away!

NYC’s District 75 published their Middle School Units of Study, Developing Autonomy when Engaging with Literature, online. In it they list some of the benefits of book clubs in the classroom:

Book clubs:

Promote a love for literature and a positive attitude towards reading;

Reflect a student-centered model of literacy (employing the Gradual

Release of Responsibility);

Encourage extensive and intensive reading;

Invite natural discussions that lead to student inquiry and critical

Thinking;

Support diverse responses to text;

Foster interaction, cooperation and collaboration;

Provide choice and encourage responsibility;

Expose students to literature from multiple perspectives; and

Nurture reflection and self-evaluation.

Thoughtfully planned book clubs position learning in the hands of the students and provide discussion tools students can use as they work out their responses to the book.

We provide approaches to professional development that bridge theory and practice to generate solutions that work for a multitude of schools. With that bridge in mind, enjoy the following as you think through your classroom’s book club possibilities!

Step-by-step explanation:

pls brainlieste

6 0
2 years ago
Simplify 8(xy + 8) + 1. 8xy + 9 8xy + 65 8xy + 73
Advocard [28]

Answer:

8xy + 65

Step-by-step explanation:

8(xy + 8) + 1.

8      x 8=

        64 + 1=

                    65    (8xy + 65)

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LINE THE NUMBERS UP AND IT WILL MAKE SENSE

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2 years ago
A DVD case contains 4 comedies and 6 action movies. Suppose you select a movie at random on Friday night, don’t replace the movi
mamaluj [8]

Step-by-step explanation:

P(C) = 4/10 = 2/5

P(A) = 6/10 = 3/5

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