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The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

If b² - 4ac > 0, then the equation have exactly two different integer solutions.

Given the equation:

x² - bx + 16 = 0, to have exactly two different integer solutions:

(-b)² - 4(1)(16) > 0

b > 8

The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

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Answer:

x=8

Step-by-step explanation:

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the value of the given expression i.e.

3⁷ × 3⁻⁴

We know that, one of the property of exponent is:

[tex]x^{-a}=\dfrac{1}{a}[/tex]

So,

[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]

Hence, the correct option is (b).

Answer:

1.x= 3/-4-2 = x = 11/4

2.1.5x /1.5 = x

6/1.5=4

x=4

Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

Answer:

There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute

Hope it helps

Answer:

Step-by-step explanation:

When interest compounds once per year, the formula for this is

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate at which it grows, and t is the time in years. Therefore, our model is

[tex]A(t)=6500(1+.03)^t[/tex] or simplified a bit:

[tex]A(t)=6500(1.03)^t[/tex]

Answer:

6x-4+3x+4=180{ straight angel}

Answer:

2/5

Step-by-step explanation:

3, 6, 9, 5 is four options

4/10 = 2/5

Answer:

8P3 = 336

9C4 = 126

Step-by-step explanation:

8P3 = 8! ÷ 5!  =  8x7x6 = 336

9C4 = 9! ÷ (5!·4!)  =  (9x8x7x6) ÷ (4x3x2) = 126

Answer:

A = 1/2 × b × h

A = 1/2 × 60 × 30

A = 1/2 x 900

A = 450

--------

A = 1/2 x 6 x 18

A= 1/2 x 54

A = 27

----------

27 + 450 = 477

=477

Step-by-step explanation:

Answer:

Step-by-step explanation:

*There is an acute isosceles (don't know if I am spelling any of these correct)

*Right Scalene

*right isosceles

*equilateral

Those are some of the ones that I found

Answer: 7 and 5

Step-by-step explanation:

I HOPE THIS HELPS

STAY SAFE!!!

Answer:

7 and 5

Step-by-step explanation:

7+5=12

7-5=2

Answer:

Square root of 0.028

Step-by-step explanation:

17% = 0.17

1/7 = 0.142

1/8 = 0.125 so it isnt in the inequality

1.7 is outside of the inequality

0.091 is out of the inequality

Square root of 0.028 = 0.167 (So it's in the inequality)

Feel free to mark it as brainliest :D

Answer:

answer is

Step-by-step explanation:

Answer:

Probability[Choosing red and blue consecutive] = 5/44

Step-by-step explanation:

Given:

Number of blue marble = 5

Number of green marble = 4

Number of red marble = 3

Find:

Probability[Choosing red and blue consecutive]

Computation:

Probability of red marble = Number of red marble / Total marble

Probability of red marble = 3 / [5 + 4 + 3]

Probability of red marble = 3 / 12

Probability of red marble = 1/4

Probability of next blue marble = Number of blue marble / [Total marble - 1]

Probability of next blue marble = 5 / [Total marble - 1]

Probability of next blue marble = 5 / [12 - 1]

Probability of next blue marble = 5 / 11

Probability[Choosing red and blue consecutive] = Probability of red marble x Probability of next blue marble

Probability[Choosing red and blue consecutive] = [1/4][5/11]

Probability[Choosing red and blue consecutive] = 5/44

Answer:

0.057

Step-by-step explanation:

To obtain the p value, we need to obtain the test statistic :

For a one sample test :

Test statistic is given by :

(xbar - μ) ÷ (σ/√(n))

(185 - 175) ÷ (20/√(10))

10 ÷ 6.3245553

Test statistic = 1.581

Qe used the Z distribution because we are working with the population standard deviation.

Using the Pvalue from test statistic calculator :

Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;

Pvalue = 0.0569

Answer:

3.75 or 3 3/4

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.5/.4=3.75

Answer:

[tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]

[tex]\frac{3}{2}[/tex] ×  [tex]\frac{5}{2}[/tex]

[tex]\frac{3 times 5 }{2 times 2}[/tex]

[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]

Answer:

6 =h

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

12 = 1/2 (4) h

12 =2h

Divide each side by 2

12/2 = 2h/2

6 =h

Answer:

6(2x + 3y)

Step-by-step explanation:

6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.

The factorize form of the expression  12x + 18y is 6(2x+3y)

An expression is combination of variables, numbers and operators.

The given expression is  12x + 18y

Twelve times of x plus eighteen times of y

x and y are the variables in the expression

Let us factorize the expression

The Gcd of 12 and 18 is 6

So take 6 as common from the expression

6(2x+3y)

Hence, the factorize form of the expression  12x + 18y is 6(2x+3y)

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Answer:

the scale factor of RSTU to R'S'T'U' is 1/3

Step-by-step explanation:

look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).

this is 1:3 or 1/3

all other sides follow the same ratio.

the point P is diagonally one square down from S and 3 squares down from S'.

9514 1404 393

Answer:

  B.  a = 10√3, b = 5√3,  c = 15, d = 5

Step-by-step explanation:

When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.

Examining the answer choices, you see that all of them agree that ...

  a = 10√3, c = 15

Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.

The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.

__

The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...

  d = 10/2 = 5

  c+d = 10×2 = 20   ⇒   c = 20 -5 = 15

  b = 5√3

  a = 10√3

As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)

Answer:

d equal 10 this is the answer

Answer:

yes the answer is 456

Step-by-step explanation:

Answer:

$63.6

Step-by-step explanation:

$7.95=1 hr

$7.95×8=$63.6

Answer:

15

Step-by-step explanation:

the steps are in the pic above

Answer:

-19.

Step-by-step explanation:

-19+31 gets you 12.