How many solution(s) does the equation x2 - 6x + 6 = -3 have?

Answer:

1. The first one

and

2. the last one

Step-by-step explanation:

The first one because,

-9(2/3x)=-6, and thats the same in the question. As well as the -9x1

The last one because,

-9(2/3x+1)=

-6x - 9

because, negative 9 times positive 1 will be negative 9.

so it will be:

-6x - 9

I hope this helped     :)

Answer:

72% of the parking spaces are empty.

Step-by-step explanation:

There are 72 open spaces out of 100 total. 72/100=.72, .72*100= 72%.

Answer:

72% because 72+28 is 100 and 72/100 is 72%

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given the bag contains  3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

\(\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198\)

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

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Answer:

C

Step-by-step explanation:

She is reading 15 pages a day so the arrow is going up

Step-by-step explanation:

Ok so lets begin with what we know. Each guest is $20.50, 144 guests arrived, and they started with $2,500.

The equation would be 2,500-20.5(144)

20.5(144)=$2,952

Now the issue here is that the payment is more than the account balance and so im guessing either they want the answer as $0, they want the negative value which is -$452, or there was another part before this with the old account info.

Step-by-step explanation:

We need to solve the given quadratic equations.

1.

\(x^2=-5x+2\\\\x^2+5x-2=0\)

Using the formula to find solutions.

We have, a = 1, b = 5 and c = -2

So,

\(x=\dfrac{-5\pm \sqrt{5^2-4(1)(-2)} }{2}\\\\x=0.37,-5.37\)

2.

\(x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0\)

We have,

a = 1, b = 6 and c = 9

\(x=\dfrac{-6\pm \sqrt{6^2-4(1)(9)} }{2}\\\\x=-3,-3\)

Hence, this is the required solution.

Answer:

1, 120

Step-by-step explanation:

    3.2 x 107 = 342.4

+   7.2 x 108 = 777.6

_____________________

                       1, 120                          

Answer:

(3.2 × 107) + (7.2 × 108) =

342.4 + 777.6 =

1120

Step-by-step explanation:

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

Answer:

L = 9.49 units

Step-by-step explanation:

From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6.  These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:

12^2 = 144 and 6^2 = 36.

Combining these results in the length of the diagonal:

L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem

Rounding off, we get L = 9.49 units

Answer:

I think that c is the correct answer

The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Answer:

$30

Step-by-step explanation:

x = original price

0.8x = 24

8x = 240

x = 30

Answer:

26

Step-by-step explanation:

128° and 2x° are Co interior angles since the two parallel lines is cut by a transversal

so, 128+2x = 180(since sum of co interior angles always add to 180)

so, 2x = (180-128)

or, x = 52/2

or, x = 26

Answer:

78

Step-by-step explanation:

you have to multipy 13 and 12 then divide it by 2.(13*12=156/2=78)

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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Answer:

y = -6/5x - 2

Step-by-step explanation:

Parallel lines have the same slopes. Given the point, (-5, 4), and the linear equation, y = -6/5x + 2 (where the slope, m = -6/5), we can assume that the other line will have the same slope = -6/5. All we need to do at this point is determine the y-intercept, b, of the other line.

The y-coordinate (b) of the point, (0, b) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope, m = -6/5, and the given point, (-5, 4), substitute these values into the slope-intercept form to solve for b:

y = mx + b

4 = -6/5(-5) + b

4 = 6 + b

Subtract 6 from both sides to isolate b:

4  - 6 = 6 - 6 + b

-2 = b

Therefore, the y-coordinate value of the y-intercept, (0, -2) is b = -2.

The linear equation of the line parallel to y = -6/5x + 2 is:

y = -6/5x - 2 (please take note of the negative value of the y-intercept in the final answer. It is different from the given equation).  

Attached is a screenshot of the graphed equations, where it shows the parallel lines with different y-intercepts.

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Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation: Just multiply 16x1.50

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\(D = \frac{m}{v} \\ \)

\( \frac{m}{v} = D \\ \)

Multiply sides by v

\(v \times \frac{m}{v} = v \times D \\ \)

\(m = D \times v\)

\(m = Dv\)

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Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

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The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

Step-by-step explanation:

The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations below

-x + y = 4,

6x + y = -3

As per the given question, the required graph has been attached below.

The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).

This is the point where the two lines cross each other.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the correct question would be:

What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3

A. (1, –3)

B. (–1, 3)

C. (1, 3)

D. (–3.5, 0.5)