For which value of b will the quadratic equation x^2 — bx + 16 = O have
exactly two different integer solutions? Select all that apply.

For Which Value Of B Will The Quadratic Equation X^2 Bx + 16 = O Haveexactly Two Different Integer Solutions?

Answers

Answer 1

Answer:

b = 10

b = 17

Step-by-step explanation:

Hello!

Usually, when you want two different integer solutions, you probably want the quadratic to be factorable.

So what we want to know is that b should be the sum of the factors in 16.

Factors of 16: 1, 2, 4, 8, 16

Factor pairs:

1, 162, 84, 4

Factor Sums:

17108

These are our possible b-values.

Check:

Let's try 17 first:

x² - 17x + 16 = 0(x - 16)(x - 1) = 0x = 16, x = 1

Now 10:

x² - 10x + 16 = 0(x - 8)(x - 2) = 0x = 8, x = 2

And finally, 8:

x² - 8x + 16 = 0(x - 4)(x - 4) = 0x = 4, x = 4

Since x = 4 is a repetitive integer, we cannot use 8 as a value for b.

The answers are b = 10, and b = 17.


Related Questions

caleb is choosing a bank from the two banks below in an average month he writes 12 checks use his debit card 10 times and uses the atm six times how much caleb send on his monthly bank fees at state bank six times

Answers

Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.

What are Caleb's bank fees?

The question is incomplete so I will use a similar question to answer it.

Caleb's fees at Neobank would be:

= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee

= 0 + 0 + 6 + 5

= $11

Caleb's fees at Arbor Bank:

= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee

= $15.70

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what is the answer to (2x -3) / 4 = 9

Answers

Answer:

[tex]x=\frac{39}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3}{4}=9\\ \\2x-3=36\\\\2x=39\\\\x=\frac{39}{2}[/tex]

⚠ANSWER FOR THE 5TH GRADERS⚠

Answers

Answer:

vitamins - organic compound

minerals - inorganic compounds

Step-by-step explanation:

Answer:

1. minerals = B inorganic elements

2. Vitamins = A organic compound

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!

Answers

In a circle, the arc is two times the length of the angle.

EFG = 98°

98 x 2 = 196

Minor arc EG = 196°

Hopefully this helps :)

On March 1st Kendra’s checking account had a balance of $325.31. She wrote a check for $24.85, withdrew $40 from the ATM, and deposited $15. What was Kendra’s balance after these transactions?

Answers

Answer:

275.46

Step-by-step explanation:

She has $325.31

she writes a check for $24.85

she withdrew $40

and deposited $15

so do 325.31-24.85-40+15

and that equals

275.46

The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.

Answers

Answer:

Nth term = 19 - 4(n-1)

Step-by-step explanation:

First term be A

Nth term = A - 4(n-1)

3rd term = 11 = A - 4*2 = A - 8

A = 19

Nth term = 19 - 4(n-1)

find the cost of 10 pens at x pence each

Answers

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

The graph from the US Department of Agriculture shows the growth of farmers markets in the United States. What was the first year that th enumber of farmers markets increased to over 3000?
2001

2002

2000

2003

Answers

Answer:

Its was 2002 since that is the first heightest bar pass 3000

Help me pls which one

Answers

Answer:

C . 0.1

Step-by-step explanation:

There are nine lines between 0 and 1

The one the red dot is one is 0.1





Find two numbers whose difference is 30 and whose product is a minimum.

Answers

Answer:60-30 I guess

Step-by-step explanation:n60-30=30

can someone help me with this question? Thank you!

Answers

Answer:

i hope this can help you!

the product of nine and a number decreased by six​

Answers

Answer:

9* (x-6)

9x-54

9x=54

x=54/9

x=6

Step-by-step explanation:

Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are yellow, blue, red, and green. What are the chances that Elsie gets heads and red on the spinner?


A. 1/8

B. 1/6

C. 1/4

D. 1/2

Answers

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

Answer:

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate

Answers

A. APR.

multiply the principal by the APR and the
number of months in the year, then divide by the
number of months earning interest. multiply the
principal by the APR and number of months,
then divide by the total number of months in the
year. multiply the principal by the APR and
number of months.

Maria makes 9 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.

Answers

Answer: p = 9h

Step-by-step explanation:

     If she makes 9 dollars of every hour of work, this will be a linear equation. We will write it as the following:

      p = 9h

Answer:

9h/p

Step-by-step explanation:

9 x # of hours = total pay

$9 is the dollars for each hour, so you multiply that by how many hours Maria works. You will get the total pay.

Find the area of a polygon

Answers

Answer:

32.71cm² is the area

If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2

Answers

Answer:

3x² + 3y² = 42

3 ( x² + y² ) = 42

x² + y² = 14

xy = -15 ( given )

(x-y)² = x² + y² - xy

14 - ( -15 )

14 + 15

29

Find the surface area of the rectangular prism

Answers

Answer:

126 mi²

Step-by-step explanation:

Surface Area of a Rectangular Prism :

SA = 2(bh + lh + lb)SA = 2(3 × 5 + 6  × 5 + 6 × 3)SA = 2(15 + 30 + 18)SA = 2(63)SA = 126 mi²

Use the following data set to answer questions 1-8: 13, 19, 7, 12, 21, 18, 15 1. Calculate the mean. Round to the nearest tenth.​

Answers

Answer:

Mean = 13.3

Step-by-step explanation:

Mean = Sum of numbers    =  13 + 19 + 7 + 12 + 21 + 18 + 15 + 1  =  106 = 13.25

          Amount of numbers                          8                                    8

13.25≈13.3

Write cos 32° in terms of sine.
cos 32° = sin

Answers

[tex]\cos32^{\circ} \\\\=\sin(90-32)^\circ~~~~~~~~~~~~~~;[\cos \theta = \sin(90- \theta)]\\\\=\sin 58^{\circ}[/tex]

Solve 10(0j + 4j + 40)

Answers

Hey there!


10(0j + 4j + 40)

DISTRIBUTE 10 WITHIN the PARENTHESES

= 10(0j) + 10(4j) + 10(40)

= 0j + 40j + 400

COMBINE the LIKE TERMS

= (0j + 40j) + (400)

= 0j + 40j + 400

= 40j + 400


Therefore, the answer should be:

40j + 400


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

[tex]\boxed{40j + 400}[/tex]

Step-by-step explanation:

Given expression:

[tex]10(0j + 4j + 40)[/tex]

Since the expression inside the parentheses can be simplified, it is suggested to simplify the expression, inside the parentheses, first.

[tex]\implies10[j(0 + 4) + 40][/tex]

[tex]\implies 10[4j + 40][/tex]

Now, simplify the distributive property.

The distributive property can be simplified by multiplying the term outside the parentheses with all the terms inside the parentheses.

[tex]\implies 10[4j + 40][/tex]

[tex]\implies [4j \times 10] + [40 \times 10][/tex]

[tex]\implies \boxed{40j + 400}[/tex]

Learn more about distributive property: https://brainly.com/question/13094603

please can someone help fr​

Answers

Step-by-step explanation:

help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant

Answer:

x = 116°

Step-by-step explanation:

Finding the value of 'x' in a polygon

 [tex]\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}[/tex]

                                                           = (5 - 2) *180

                                                           = 3*180

                                                            = 540°

                      90 + 119 + 86 + 129 +x = 540  

                                               424 + x = 540

                                                         x = 540 - 424

                                                         x   = 116°

The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs on a Sunday morning.

First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670

Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?

Answers

The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600

How to determine the probability?

The probability to calculate is given as: P(Adult|Second run)

This means:

The probability that an Adult is selected given that the adult runs the second run

The formula to solve this is:

P(Adult|Second run) = n(Adult and Second run)/n(Second run)

From the table, we have:

n(Adult and Second run) = 219

n(Second run) = 365

So, we have:

P(Adult|Second run) = 219/365

Evaluate

P(Adult|Second run) = 0.600

Hence, the value of P(Adult|Second run) is 0.600

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Answer:

The value of P rounded to the nearest thousandth would be 0.6

Hope this helped!

helppppppppppppppppppppppppp

Answers

The answer is c thats what i think

Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.

Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height

Solution:

(a)

1) centimeters

2) inches

(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.

Unit test
Problem
Here are two different samples drawn from two different populations:
Two dot plots show the distributions of two samples. For each sample, the number line has a scale from 0 to 100 in increments of 10. For sample A, n = 11. The distribution is right skewed between 70 and 100, with outliers at 0 and 10. For sample B, n = 14. The distribution is right skewed between 0 and 100.
Which sample satisfies the normal condition for constructing a ttt interval?

Answers

Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.

What does the Central Limit Theorem state?

It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.

The underlying distribution is normal.The sample size is greater than 30.

In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.

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Answer:

N/A

Step-by-step explanation:

PLEASE HELP ME.......

Answers

The equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.

How to find the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

Equivalent expression can be found out by simplifying the given equation.

First equation given as,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)[/tex]

Simplify it further,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]

Third equation in the problem given as,

[tex]\left(5+2b\right)+\left(2b+\dfrac{3}{2}\right)\\5+2b+2b+\dfrac{3}{2}\\4b+\dfrac{13}{2}[/tex]

Simplify it further,

[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]

Similarly, the fifth and seventh equation are simplified and equivalent to the fourth and eight respectively.

Thus, the equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.

Learn more about the equivalent expression here;

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Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.

Answers

The formula of a cylinder is 2πr (r+h)

2π4 (4+9)

8π (13)

25.13 (13)

326.73

Cubes: area = a^3

3x3x3 = 27

326.73 / 27 = 12.1

Claudia would need to buy 13 wax cubes to fil the candle.

hope this helps k12 students :)

What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

A. 17

B. 16

Step-by-step explanation:

F(5)

5 > 2 so you plug the 5 into 3x+2

F(-2)

-5 < -2 < 2 so you plug the -2 into (x-2)^2

83 + (25) : 5 > 32 + 42

Answers

Step-by-step explanation:

83 +(25)/5 >32 + 42

Simplify 83 + (25)/5= 108/5

Simplify 32 + 42: 74

108/5>74

Therefore the solution is false

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You must use at least one dialog box in this program. The data for each triangle will be on a separate line of the input file, with the input data echoed and the results referred to by the line number (see example). Some things to note: All input data lines must be processed. A new line with triangle data always starts with the # marker. If an error is encountered on a given line, it must be handled. Afterwards, the program will continue on the next line without processing the triangle. An example of such an error is a non-integer appearing in the first three values of a given line. Extraneous data must be discarded. This is data that appears after the first three triangle sides are found, but before a new triangle marker is found. If the end of file (EOF) is found, a message should be printed out There shall be no unhandled file related exceptions and an end-of-file exception must be avoided. On initialization, the program will prompt the user for both an input and an output file. 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