Mathematics High School

what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots​

Answers

Answer 1

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

What Is The Discriminant Of F(x)=2x^2+8x+16 And The Number And Type Of Roots
Answer 2

9514 1404 393

Answer:

discriminant: -64two complex roots

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

Related Questions

5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)

Answers

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Solve for the value of K

Answers

Answer:

k = 5

Step-by-step explanation:

The straight angle is 180º

The right angle is 90º

Therefor

(8k + 1) + 90 + 49 = 180

combine like terms

8k + 140 = 180

Subtract 140 from both sides

8k = 40

Divide both sides by 8

k = 5

Answer:

16.25

Step-by-step explanation:

logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?

Answers

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

The unit rate or rate of change of gallons per week will be 4.2 gallons/week.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

12 gallons in every 20 days,

The unit rate per day will be as,

12/20 = 0.6 gallons per day

It is known that, 1 week = 7 days,

Unit rate per week = 0.6 x 7 = 4.2 gallons/week

Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".

To learn more about the rate of change here,

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pls help asap! i will mark brainliest!

Answers

Answer:

19 or 17

Step-by-step explanation:



Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.

Show your work for each way you find x.

Answers

Answer:

Step-by-step explanation:

plato answer

Graph the functions to find The solution.

f(x)=x^2 - 2
g(x)= 2x + 1

Answers

Answer: Look at the picture ⬇️

can someone please assist me in these equations!?!?! pls​

Answers

1. h= 0
2.d= -2
11. x= -5/11
12.p= -1

Can someone tell me what’s the answer is

Answers

Answer: I believe the answer is 50

Step-by-step explanation: I know this angle is a right angle that is split into two and since you already know what 1/2 of the angle is you just figure out how much more we need to equal to the angle in this case it’s 50

help algebra 2 100 points if you answer right

Answers

the second one is the answer <i think>

[tex]\\ \tt\hookrightarrow (f+g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)+g(x)[/tex]

[tex]\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4[/tex]

[tex]\\ \tt\hookrightarrow 7x^2+x-4[/tex]

Option B is correct

Is this a function?

Answers

Answer:

No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.

Step-by-step explanation:

A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.

Answers

Answer:

washer is 587$

Step-by-step explanation:

1000 - 175

825

825 divided by 2 than add 175 to the washers half

the cost of the washer is $587.5, and the cost of the dryer is $412.5.

Let's assume the cost of the dryer is "x" dollars.

According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.

The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:

Cost of washer + Cost of dryer = $1000

(x + $175) + x = $1000

Now, let's solve for "x":

2x + $175 = $1000

Subtract $175 from both sides:

2x = $1000 - $175

2x = $825

Now, divide both sides by 2 to find the value of "x":

x = $825 / 2

x = $412.5

So, the cost of the dryer is $412.5.

Now, let's find the cost of the washer:

Cost of washer = Cost of dryer + $175

Cost of washer = $412.5 + $175

Cost of washer = $587.5

Therefore, the cost of the washer is $587.5.

In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.

Learn more about cost here

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find the length of x in the figure below. round your answer to 3 significant figure

Answers

Answer:

where is the figure? or tell us the area and width of the figure

what is the answer??????​

Answers

1. D 2. A



have a good day

Answer:

1) ⅓

2) ⅓

Step-by-step explanation:

1)  The repeating decimal, 0.333333.., is the same as ⅓ when simplified.

If we express 0.333333...  as a fraction to the nearest hundreths:  [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.    

Therefore, the fraction form of 0.333333... is ⅓.

2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.

[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]

Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:

[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] = ⅓

Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is  ⅓.

ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8

Answers

Answer:

Below.

Step-by-step explanation:

Using PRT/100 = I, we can prove that x = 8.

=> 1000 x 0.65 x 8/100

=> 10 x 0.65 x 8

=> 6.5 x 8

=> £52

Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.

PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR

Answers

question 1. is 2

question 2 -13

Answer: Question 2 answer is 4        Question 3 answer is 12

Step-by-step explanation:

Question 2: 42*4=168

43*5=210

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

Answers

Answer:

8p -12

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =

Answers

Answer:

h(4) = -1 ;   h(-5) = 1        h(0) = -9

Step-by-step explanation:

a)    h(x) = |-2x| - 9       Substitute x = 4

       h(4) = | -2 · 4| - 9

       h(x) = | -8| - 9

       h(4) = 8 - 9

       h(4) = -1

b)  h(x) = |-2x| - 9            Substitute x = -5

    h(-5) = |-2 · -5| - 9

    h(-5) = |-10| - 9

     h(-5) = 10 - 9

      h(-5) = 1

c)   h(x) = |-2x| - 9             Substitute x = 0

     h(0) = |-2 · 0| - 9

     h(0) = |0| - 9

     h(0) = 0 - 9

      h(0) = -9

     

Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?

Answers

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

one third of the result of three times a number that is increased by 12

Answers

Answer:

Step-by-step explanation:

1/3 (3x+12)

1/3×3x+1/3×12

x+4

Question 4 of 30
Find the domain of the graphed function.

Answers

Answer:

A is the answer

Step-by-step explanation:

x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)

Answers

Answer:

A. (-5,3)

Honestly, that is pretty much it and uh.Yeah

Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2

Answers

D is the correct answer

Hurry I will give brainlyest!!!!

What are the factors of this expression?

34xy



Drag all of the factors of the expression into the box.

Factors

3/4 -1 3 4 x y

Answers

34, x, y are factors of this expression.

- BRAINLIEST answerer

24.0370085031 as a whole number

Answers

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?

Answers

Answer: $10

Step-by-step explanation: if helped pls leave a thanks <3

Answer:

$10 left

Step-by-step explanation:

1/3*30=10

Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12

Answers

Answer:

Step-by-step explanation:

6x+4y=-12

subtract 6x from both sides in order to move 6x to the other side.

4y=-12-6x

divide 4 from the whole equation in order to make the 4y to y.

y= -3-6/4x

and to simply

y= -1.5x-3

or y= -3/2x-3

Simplify the expression.​

Answers

Step-by-step explanation:

since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :

(12×45×50)^(1/3) = 27000^(1/3)

and remember what a 1/... exponent means : it means the root of the ... degree.

so, here we need a cubic root or a root of the third degree

[tex] \sqrt[3]{27000} = 30[/tex]

Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers

I need help on this one tooo

Tentukan Penyelesaian dari persamaan berikut

Answers

1. 3z + 11 = -28
3z = -39
z = -13

2. 3a - 1 = a + 9
3a - a = 10
2a = 10
a = 5

3. 2 (3p - 4) = 4p + 6
6p - 8 = 4p + 6
6p - 4p = 14
2p = 14
p = 7

4. 1/2x + 4 = 6
1/2x = 2
x = 2 * 2
x = 4

5. 2/3(6x - 9) = 1/4(4x + 12)
4x - 6 = x + 3
4x - x = 9
3x = 9
x = 3
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