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wel
3 years ago
6

Use the discriminant to describe the roots of each equation. Then select the best description.16x2 + 8x + 1 = 0double rootreal a

nd rational rootsreal and irrational rootsnon-real roots
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Hello!

The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.

The value of the discriminant will tell us how many solutions there are to the given quadratic equation.

A positive discriminant will have two real solutions.

A discriminant of zero will have one real solution.

A negative discriminant will no real solutions.

1. Substitute, a = 16, b = 8, c = 1.

8² - 4(16)(1)

64 - 4(16)(1)

64 - 64(1)

64 - 64

0

Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.

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make up an equation in the form of an y=kx +b, the graph which passes through the following points: (5,5) and (-10,-19)
Oksana_A [137]

Answer:

y = 8/5x - 3

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(-19 - 5) / (-10 - 5)

-24 / -15

= 8/5

Plug in the slope and a given point into y = mx + b, and solve for b

y = mx + b

5 = 8/5(5) + b

5 = 8 + b

-3 = b

Plug in the slope and b into y = mx + b

y = 8/5x - 3

So, the equation is y = 8/5x - 3

8 0
3 years ago
Identify the value of y<br><br><br> (3y+5)=-4-8y+9+77
noname [10]

Answer:

Y=7

Step-by-step explanation:

(3y+5)= -4 -8y +9 + 77

     -5    -5            

    3y= -9 - 8y + 9 + 77

           +9          -9

    3y=  -8y + 77

    +8y    +8y

      11y = 77

      11y/11    77/11

        y = 7

1. subtract 5 from both sides

2. add -9 and +9 and you get 0

3. add 8y to both sides

4. divide both sides by 11

5. you get y=7

3 0
3 years ago
Brian usually brushes his teeth in the morning, but 10% of the time he forgets. What is the probability that he will forget to b
Katena32 [7]

Using it's concept, it is found that there is a 0.001 = 0.1% probability that he will forget to brush his teeth three days in a row.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:

p = (0.1)³ = 0.001.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
2 years ago
98 POINTS!<br> d(e-f)=g<br> Solve For f.
Lubov Fominskaja [6]

d (e - f) = g

de - df = g

df = de - g

f = ed - g/d

Hope helps-Aparri

5 0
3 years ago
Read 2 more answers
Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​
GalinKa [24]

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

3 0
3 years ago
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