All categories

3 years ago

What value of b will cause 16x ^ 2 + bx + 4 = 0 to have one real solution ?

Mathematics

1 answer:

bekas [8.4K]3 years ago

6 0

Answer:

b = 16

Step-by-step explanation:

16*x + b*x + 4 = 0

Solving for x we get:

x₁,₂ = - b ± √ b² - 4*a*c ] / 2*a (1)

If we take a look to the square root

√ b² - 4*4*16 = √ b² - 256

if we make √ b² - 256 = 0

b² = 256 ⇒ b = 16

Then equation (1) becomes:

x₁,₂ = ( - 16 ± 0 ) / 32

x = - 1/2

You might be interested in

Given the function f(x)=|x|,describe the transformation lys to f(x)=|x-2|+5

earnstyle [38]

C is the correct answer
Since it says x-2 which is a horizontal translation and everything horizontal says you say the other way around. So left to you go right 2

Hope that helps

5 0

3 years ago

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox

jeka57 [31]

Answer:

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ ........................ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length, new Width and new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎ = 2L × 2W × 2H

and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

Volume of the new sandbox = 8 × LWH....................(2)

In equation(1) LWH = 10ft³.

Substituting the value in equation(2)

∴Volume of the new(similar) sandbox= 8 × 10

=80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

7 0

3 years ago

4 tenths + 5 hundredths

Yuliya22 [10]

The answer will be : 510

8 0

3 years ago

Read 2 more answers

10 points! I will thanks, rate, and give best answer!!

vfiekz [6]

Answer: The fourth term is -102

----------------------------------------------

Explanation:

The term after the nth term is generated by this rule $a_{n+1} = -4(a_n) + 2$ which means that we first
Step 1) multiply the nth term ( $a_n$ ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is $a_1 = 2$ . In short, the first term is 2

The second term is...
$a_{n+1} = -4(a_n) + 2$
$a_{1+1} = -4(a_1) + 2$
$a_{2} = -4(2) + 2$
$a_{2} = -8 + 2$
$a_{2} = -6$
So the second term is -6

The third term is...
$a_{n+1} = -4(a_n) + 2$
$a_{2+1} = -4(a_2) + 2$
$a_{3} = -4(-6) + 2$
$a_{3} = 24 + 2$
$a_{3} = 26$
The third term is 26

Finally, the fourth term is...
$a_{n+1} = -4(a_n) + 2$
$a_{3+1} = -4(a_3) + 2$
$a_{4} = -4(26) + 2$
$a_{4} = -104 + 2$
$a_{4} = -102$
The fourth term is -102.

4 0

4 years ago

What is the factors of 27

Kaylis [27]

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

6 0

3 years ago

Read 2 more answers