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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

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A spinner has 10 equal-sized sections. To win the game, the pointer must land on a blue section

GrogVix [38]

Answer:

1/10

Step-by-step explanation:

Given data

Total number of possible outcomes /sample space S= 10

In this problem we are required to solve for the probability of obtaining the favourable outcome which is obtaining a blue

Hence the probability of obtaining a blue is

Pr(blue) = 1/10

8 0

3 years ago

How many yards carpeting is needed to cover a 60 feet length room and 40 feet width

Bad White [126]

Answer:

$266$ $\frac{2}{3}$ $yards$

Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, $3feet=1yard$ . Next, find the area of the room by multiplying the length by the width.

2. Convert the unit of measurement

The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, $3feet=1yard$ .

$60feet=20yards\\\\40feet=13\frac{1}{3}yards$

3. Find the area of the room

Now multiply the length by the width to find the area of the room.

$20yards*13\frac{1}{3}yrads\\\\= 20 * \frac{40}{3}\\\\=\frac{800}{3}\\\\= 266\frac{2}{3}_{.}yards^{2}$

5 0

3 years ago

One number is 4 times another number and their product is 64. How would that be written in equation form?

Likurg_2 [28]

X x 4 *equal sign* 64 hope this helps. :)

7 0

3 years ago

Read 2 more answers

3/5 in two equivalent forms

Deffense [45]

To get the equivalent of 3/5, multiply both the numerator and denominator by the same number. So, multiply 3/5 by 2 and you will get 6/10. Multiply 3/5 by 3 and you will get 9/15. The equivalent fractions of 3/5 are 6/10 and 9/15.

Hope it helps :)

6 0

4 years ago

Read 2 more answers

In ABC,if sin A=4/5 and tan A=4/3, then what I s cos A?

Svet_ta [14]

Cos(A) will be 3/5 Cos(A) is adjacent/hypotenuse. So here we have sin(A)=opp/hyp which is 4/5 and tan(A)=opp/adj which is 4/3. So cos(A) is adj./hyp and knowing the previous 2 terms of sin(A) and cos(A), you can go ahead and find Cos(A). So cos(A) is 3/5

5 0

3 years ago