A quadratic function, f(x) = x2 + bx + 9, is such that there is only one real root. Which of the following are possible values of b?
I. b = 2
II. b = 6
III. b = -6
IV. b = -2

A. I, II, III, and IV
B. I and IV only
C. II and III only
D. I only

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Remember that we can use the discriminant to determine the amount of roots that a quadratic function has.

If the determinant equals 0, then we only have one real root.

Our function is given by:

[tex]f(x)=x^2+bx+9[/tex]

Then the discriminant will be:

[tex]\Delta = b^2-4(1)(9)=b^2-36[/tex]

We only have one real root, thus our discriminant must be 0:

[tex]0=b^2-36[/tex]

Solve for b:

[tex]b^2=36[/tex]

Thus:

[tex]b=\pm 6[/tex]

The answer is both II and III.

The final answer, then, is C.


Related Questions

#10) Cross multiply and divide to solve for x*
2/5 = X/70

Answers

Answer:

28=x

Step-by-step explanation:

2/5=x/70

(70/1)(2/5)=x/70(70/1)

here you cancel 70 into 5 to get 14 and on the other side cancel both the 70s

14*2=x

28=x

Answer:

28

Step-by-step explanation:

multiply 2 * 70 then divide by 5

This table of values represents a linear function.
Х
у
0
2
3
8
6
14
Enter an equation that represents the function defined by this table of values.
x Х

Answers

Answer:

The answer is y=3x+6

Step-by-step explanation:

a is the point with coordinates (1,4) b is the point with coordinates (7,22) Find the gradient AB

Answers

Answer:

The gradient AB is 3

Step-by-step explanation:

Here. we want to find the gradient AB

This is the same as finding the slope of the line that connects the two points

mathematically. we have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (1,4)

(x2,y2) = (7,22)

m = (22-4)/(7-1) = 18/6 = 3

. Bryon competes on the school debate team. He won 0.40 of the debates in which he participated. Which statement is not true about Byron's debates?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Since Bryon won 0.40 of his debate, this means that he won 40% of his debate. 40% converted to fraction equals 40/100 = 2/5.

Since he won 40%, it means that he lost (100% - 40%) = 60%. He lost 3/5 and won 2/5.

Question 4 of 5
Solve y3 = 125.
O A. y = 15
O B. y = 25
O C. y = 5
O D. y = 11.2

Answers

Answer: C

Hope this helped! :)

Answer:

the answer is c. y=5 =5×5×5

Brayden stated that a flying disc had a circumference of 43.96 in. Eliza wanted to find the area of the same flying disc. What is the area of the flying disc rounded to the nearest whole number? Both Brayden and Eliza used 3.14 for π​

Answers

Answer:

=153.86

Step-by-step explanation:

Circumference: 43.96

43.96/3.14= 14 = diameter

14/2= 7 = radius

area= 3.14(7)^2

=3.14(49)

=153.86

what is 20% of 24cm?

Answers

Answer:

20% of 24cm=20/100×24=4.8cm

Answer:

4.8cm

Step-by-step explanation:

24x20%=20×0.20=4.8cm

Can someone help me on this

Answers

Answer:

Step-by-step explanation:

14y-1=11y+17 subtract 11y from both sides

3y-1=17 add 1 to both sides

3y=18, divide both sides by 3

y=6

Since DG=EF

EF=9y+4 and using y=6

EF=9(6)+4

EF=54+4

EF=58

Solve for x 4.12+52=8.23

Answers

Answer:

The answer is x = −10.6237864

Find the exact value cos A in simplest radical form

Answers

Answer:

5/radical 26

Step-by-step explanation:

The speeds (in miles per hour) of motorists ticketed during one day on a five-mile stretch of highway are

listed below.

80, 70, 89, 85, 85, 75, 72, 73, 80, 83, 86, 88, 88, 70, 89, 74, 75, 84, 73, 71



The mean speed is 79.5 mph with a standard deviation of 6.8 m.



If the police decide to only ticket people going 3 standard deviations or more above the standard deviation, what would the range be?

Your answer:

Answers

Answer:

19

Step-by-step explanation:

Range is solved by subtracting the lowest and highest numbers which int his case is 70 and 89 so that make 19

hey honeys, anyone wanna help me out here? <3

Answers

Answer:

D:4

Step-by-step explanation:

12(4)-5=5(4)+23

43=43

Hope this helps

pls help find the value of x

Answers

I think the answer is 95
Explanation = first add 100 with 45 you will get 195 then subtract 180 with 195 then you will get 95. 95 is the answer
You have to use SOH the
Sin=O/H
H=O/Sin
H=100/Sin(45)
H=141.4213
X=141ft

What is the solution to the system of equations?

Fill in the blanks to explain one way to solve this system of equations using elimination.

6x + 2y = 14
5x – 2y = 8

First, add the two equations to get 11x =
. Then substitute
for x in either equation to get y =
.

Answers

First you eliminate the 2y and -2y since they cancel each other out then you add the 6x+5x and 14+8, then you are left with 11x=22, then divide both sides by 11 leaving you with x=11, hope this helps!

HELPP MEE PLSSS HELPP

Answers

Answer:

angle N is 79, angle K is 22, angle P is 81, angle D is 76

Step-by-step explanation:

all of the angles should add up to 180 degrees so add the two angles you have and subtract them from 180

Answer:

KGH is similar

Step-by-step explanation:

using the triangle sum theorem

A number is greater than 8 The same number of possible solutions to the inequality

Answers

Answer:

48

Step-by-step explanation:

Answer:

There is one solution because 9 is the only number between 8 and 10.

Brainliest?

One angle of an isosceles triangle measures 42°what other angles could be in that triangle 42°

Answers

In isosceles triangles, all angles = 180 degrees and two angles are the same.

Therefore, the two remaining angles equal 69 degrees

180 - 42 = 138
138/2 = 69

what is the percentage of sugar in the syrup made of 10kg of water and 15kg of sugar?

I GIVE BRAINLIEST

Answers

Answer:

10 kg water, 2 kg of sugar.....total of 12 kg of syrup

percentage of sugar is : 2/12 = 0.166 rounds to 0.17 = 17%

Step-by-step explanation:

5/15x100

=33.333

Rounded that’s 33.3

sixteen less than a number squared​

Answers

Answer:

16-x^2

Step-by-step explanation:

round to the nearest tenth ​

Answers

Answer:

Step-by-step explanation:

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

Rounding to the nearest hundred is 800

Rounding to the nearest ten is 840

Rounding to the nearest one is 838

Rounding to the nearest tenth is 838.3

Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Round to the Nearest Hundred: 3250

Identify the hundreds digit: the 2 in 3250

Identify the next smallest place value: the 5 in 3250

Is that digit greater than or equal to five? Yes, so round up.

Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

Identify the tens digit: the 2 in 323.5

Identify the next smallest place value: the 3 in 323.5

Is that digit greater than or equal to five? No, so round down.

The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

Identify the tens digit: the first 9 in 499

Identify the next smallest place value: the second 9 in 499

Is that digit greater than or equal to five? Yes, so round up.

The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

Identify the tenths digit: 7 in 0.74

Identify the next smallest place value: the 4 in 0.74

Is that digit greater than or equal to five? No, so round down.

The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

Identify the hundredths digit: the 4 in 3.141

Identify the next smallest place value: the second 1 in 3.141

Is that digit greater than or equal to five? No, so round down.

The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

Please I need help with this question

Answers

This is a function because each input has exactly one output ❤️

PLEASE HELP ASAP ILL GIVE YOU 30 POINTS Jamie is excited for spring break this year. Her family is planning a vacation! She fully intends to take 20 pictures each day. checking her phone before leaving she notices she has 75 pictures already on the phone.

Given that the vacation will last a full seven days and Jamie's phone can hold a total of 200 pictures. How many pictures will she need to delete an order to make enough room in her phone for vacation photos?

Answers

The answer is 15
Since 20 times 7 is 140 and 140+75 is 215
Take 215-200 you get 15

Answer:

15 photos

Step-by-step explanation:

one can start off by first seeing how many photos will be taken on the vacation. We can do that by multiplying the days with how many photos will be taken for each- so 20×7= 140. Then we can take the total amount of photos the phone cam hold-200 subtract what we already have 200-75= 125 thats how much space if left but we need more (140). So the. we can start making quick guesses by taking 5 from 75 and see what we get then taking another 5 and another if needed we get 60 that finally gives when subtracted from 200- 200-60=140 the amount of space we need. Then finally we can just do 75-60 to get the total amount of photos we must delete. 75-60= 15

hi i have 5 mins to turn in please help

Answers

Answer:

x=8

Step-by-step explanation:

Please answer for Brainiest.

Answers

Socks: 3.98 and 1.99 = 5.97
Jacket: 34.99
Shirt: 7.50
Clothing total: 48.46
Tax: 3.15

Total paid: $51.61

ABCD is a parallelogram. Find the indicated measure:

Answers

Answer:

12 12 12 12 12 12 12 12 12 1 2 12 12

At a sale this week, a desk is being sold for $133 . This is 35% of the original price.
What is the original price?

Answers

Answer:

392.35

Step-by-step explanation:

35% + 35% is 70 % so 133 +133 is 70 % witch is 269.

next we need to figure out 30 percent and they give us 35 % so. you add to zeros to 30 because percentage is out of 100 and there are 2 zeros in 100. so it look like this

3000 ÷ 133 = 22.56 is 30% of 133

70% + 30% = 100%

269 + 22.56= 291.56 is your answer

What is 40 dollars taxed by 8%?​

Answers

Answer:

Before Tax Price: $40.00

Sale Tax: 8.00% or $3.20

After Tax Price: $43.20

Step-by-step explanation:

Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5 days, how much cereal will she have for each day?

Answers

Answer:

1/15

Step-by-step explanation:

Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5 days, how much cereal will she have for each day?

The amount of cereal she would have per day is calculated as:

5 days = 1/3 of the box

1 day = x

Cross Multiply

5 days × x = 1 day × 1/3 of the box

x = 1/3 ÷ 5

x = 1/3 × 1/5

x = 1/15 of the box

Which of the following is an increasing exponential function whose y-intercept is 50?
y = (2)* + 50
y = 50x - 4
y = 50(1.4)*
y = 500.05)*
(The little star things are x in exponent form)

Answers

Y=50(1.4)*

Equations 1,3,4 are exponential (the 2nd isn’t so it’s out)

Y intercept means x is set at 0 so start testing
For y=2*+50 when x=0 y=1+50=51
(Any number raised to a 0 exponent is 1)
For y=50(1.4)* y=50(1) so y=50 and that is what you are looking for

• Write an expression that is equivalent to 3(7 + x).
3(7 + x)
+
?
2

Answers

Answer:

21+3x

Step-by-step explanation:

Expand this:

3(7+x)

So it becomes:

21+3x

Answer:

21+3x

Step-by-step explanation:

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