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madreJ [45]
2 years ago
9

10. Use the discriminant to find the values of b for which the equation 4x2 + bx + 1 = 0 has one real solution.

Mathematics
1 answer:
il63 [147K]2 years ago
8 0

Answer:

b = 4, or -4

Step-by-step explanation:

b^2 - 4*4*1 = 0

b^2 = 16

b = 4, or -4

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The length of the top of a computer desk is 2 1/4 feet longer than it’s width. If it’s width measures y feet, express its length
Lera25 [3.4K]

Answer:

The length as an algebraic expression in y is  y   + (2\frac{1}{4} )  ft

Step-by-step explanation:

The measure of the width of the computer desk = y feet

The measure of the length of the desk = width + 2  1/4 ft

⇒Measure of Length = y   + (2\frac{1}{4} )   ft

Hence, the length as an algebraic expression in y is  y   + (2\frac{1}{4} )   ft

5 0
3 years ago
Dustin has three lengths of rope: 3/4 yard long, 2/3 yard long, and 7/10 yard long. He needs at least 1 yard of rope. Which two
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6 0
3 years ago
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Which coefficient matrix represents a system of linear equations that has a unique solution ?
finlep [7]

Answer:

Option C

Step-by-step explanation:

We are given a coefficient matrix along and not the solution matrix

Since solution matrix is not given we cannot check for infinity solutions.

But we can check whether coefficient matrix is 0 or not

If coefficient matrix is zero, the system is inconsistent and hence no solution.

Option A)

|A|=\left[\begin{array}{ccc}4&2&6\\2&1&3\\-2&3&-4\end{array}\right] =0

since II row is a multiple of I row

Hence no solution or infinite

OPtion B

|B|=\left[\begin{array}{ccc}2&0&-2\\-7&1&5\\4&-2&0\end{array}\right] \\=2(10)-2(10)=0

Hence no solution or infinite

Option C

\left[\begin{array}{ccc}6&0&-2\\-2&0&6\\1&-2&0\end{array}\right] \\=2(36-2)=68

Hence there will be a unique solution

Option D

\left[\begin{array}{ccc}5&10&5\\4&1&4\\-1&-2&-1\end{array}\right] \\=2(10)-2(10)=0=0

(since I row is -5 times III row)

Hence there will be no or infinite solution

Option C is the correct answer



4 0
3 years ago
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Molodets [167]
I hope this helps you

8 0
3 years ago
20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT
Vesnalui [34]

Answer:

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Step-by-step explanation:

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