5
Enter the correct answer in the box.
Solve the quadratic equation by completing the square.
2x² + 12x = 66
Fill in the values of a and b to complete the solutions.


x=a-√b
x=a+√b

Answer:

B.$149.00

Step-by-step explanation:

=$42.00÷3=$14.00

=$14.00×10=$140.00

Im sorry if this not helpfull

Have a nice day

Answer:

Step-by-step explanation:

We are given a rectangular prism as shown.

Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.

Thus, the cross-sectional region is a RECTANGLE.

Answer:

triangle

Step-by-step explanation:

Answer:

A) Beta-hat one = -0.547

   Beta-hat zero = 12.2837

b) attached

C) y = $7.904

Step-by-step explanation:

hello attached below is the detailed solution and the table

A) Calculate Beta-hat Zero and Beta-hat one

Beta-hat one :

∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2

= -22.4 / 40.9 = -0.547

Beta-hat zero :

Y - Beta-hat one * X

= 8.4 - (-0.547 )(7.1 )  = 12.2837

B) Calculate R^2 and R^2

attached below

C) using Regression equalia to determine the level of per capita income

y = 12.28 - 0.547 * x

where x = 8

hence Y = $7.904

Answer:

20,000   17000  17200.

Step-by-step explanation:

That's your answer.

Answer:

5

Step-by-step explanation:

Just grap any two consecutive terms in the sequence. lets say -55 and -50

-50-(-55) = 5

you can check this by picking two other terms

Answer: the power so ans should be 81

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

Answer:

ML2T-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5

Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.

Step-by-step explanation:

Answer:

The ratios change as the position of D changes, but the two ratios remain equal to each other

Step-by-step explanation:

=============================================================

Work Shown:

x = brother's age, which is some positive whole number

x-6 = sister's age, since she is 6 years younger than her brother

The product is the result of multiplication, so we multiply x and (x-6) to get 135

x*(x-6) = 135

x^2-6x = 135

x^2-6x-135 = 0

Use the quadratic formula to solve from here

We plug in a = 1, b = -6, c = -135

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]

x represents the brother's age, in years. So x must be positive.

Since x must be positive, this means we rule out x = -9

The value x = 15 is the only practical solution.

If x = 15, then x-6 = 15-6 = 9

The brother is 15 years old and the sister is 9 years old.

The product of their ages is 15*9 = 135, which confirms the answers.

Answer:

I have attached a picture of me solving the equation.

Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.

The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.

The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.

Hope this helps, thank you !!

Answer:

becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.

Step-by-step explanation:

BRAINLIST PLEASE!

Meaning of decreased in math is, get smaller in size, number or quantity.

We have to given that,

To defined decreased mean in math.

We know that,

We use minus sign to denote subtract, decreased by, take away, etc.

For example, Minus sign also means how much is one value more than the other value.

Hence, Meaning of decreased in math is, get smaller in size, number or quantity.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

Answer:

33

Step-by-step explanation:

46/22=46+23/x

46x=22 times 69

46x=1518

x=33

Answer:

D.AKLM = AKLM

Step-by-step explanation:

because D.AKLM = AKLM is an example of the symmetric property of congruence

The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔKLM

Let the second triangle be represented as ΔPQR

Now , the measure of sides and angles be congruent

So , ΔKLM ≅ ΔPQR

From the symmetric property of congruence ,

If the first figure is congruent to second figure , the second figure is congruent to first figure

ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

Answer:

12ft

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

Answer:

250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Step-by-step explanation:

Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:

100 x 0.6 + 0 x 0.92 = 60

90 x 0.6 + 10 x 0.92 = 63.2

80 x 0.6 + 20 x 0.92 = 66.4

70 x 0.6 + 30 x 0.92 = 69.6

65 x 0.6 + 35 x 0.92 = 71.2

63 x 0.6 + 37 x 0.92 = 71.84

62.5 x 0.6 + 37.5 x 0.92 = 72

400 x 0.625 = 250

Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Answer:

a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b) No, since May is a month with a wide range of possible weather.

Step-by-step explanation:

a)

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.

This means that [tex]p = 0.42, n = 1001[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]

The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b. Do you think it is reasonable to generalize this estimate to other months of the year

No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...

Answer:

b. 300

i need 20 words this is filler                                  

Answer:

f(x)=6x^2-6x

Step-by-step explanation:

Answer:

5/12 cannot simplify more further

Step-by-step explanation:

11/12 - 6/12 = 5/12

Answer:

5/12

Step-by-step explanation:

hope this helps have a nice day

Answer:

1) AB = 10cm

2) 70 degrees

3) 12m

4) 10m

5) 32 degrees

6) 9 + 9 = 18m

#The x side is same with 80° so

11x + 3 = 80°

11x = 80 - 3

11x = 77

x = 7