If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?
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Answer:

6x > 3+4(2x -1)

6x > 3+ 8x - 4

6x > (-1) + 8x

6x - 6x > (-1) + 8x - 6x

subtracting 6x from both sides

0 > 2x - 1

adding +1 on both sides

1 > 2x

1/2 > x

x < 1/2

The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 6x ≥ 3 + 4(2x - 1)

Now, We can simplify as;

⇒ 6x ≥ 3 + 4(2x - 1)

⇒ 6x ≥ 3 + 8x - 4

⇒ 6x ≥ 8x - 1

⇒ 1 ≥ 8x - 6x

⇒ 1 ≥ 2x

⇒ x ≤ 1/2

Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

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The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

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Answer:

y = m(x - 2) - 4

Step-by-step explanation:

Equation of a straight line is given by;

y = mx + c

Take a point on the line (x, y) and the given point (2, -4)

gradient = change x/ change in y

gardient(m) = y +4/ x - 2

m(x-2) = y + 4

y = m(x - 2) - 4

.......................

Answer:

hey

Step-by-step explanation:

4

Answer:

(-½,0)

Step-by-step explanation:

please mark me brainliest

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

A function is defined as a relation between the set of inputs having exactly one output each.

On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).

The domain is all real numbers.

The range is all real numbers.

If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

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Answer:

A

Step-by-step explanation:

1) Alternate exterior

2) Corresponding

3) Alternate exterior

4) Alternate exterior

5) Vertical

6) Corresponding

7) Adjacent

8) Corresponding

9) Corresponding

10) Alternate interior

Answer:

[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]

Explanation:

[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]

distribute

[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]

collect terms

[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]

add similar terms

[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]

Answer:

[tex]-18x^3+3x^2+10x+4[/tex]

Step-by-step explanation:

Given:

[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]

Apply the rule (a) = a:

[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]

[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]

Apply the rule -(-a) = a:

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]

Collect like terms:

[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]

Combine like terms:

[tex]\implies -18x^3+3x^2+10x+4[/tex]

The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively

let

x + 1/6x + 1/2x = 400

(6x+x+3x) / 6 = 400

10/6x = 400

x = 400 ÷ 10/6

x = 400 × 6/ 10

= 2400 / 10

= 240 seconds

Therefore,

End part = x

= 240 seconds

Beginning = 1/6x

= 1/6 × 240

= 40 seconds

Middle = 1/2x

= 1/2 × 240

= 120 seconds

Complete question:

The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part

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The wire breaks if the load [tex]X[/tex] exceeds some amount. So what you're asked to do is find [tex]P(X\ge74)[/tex] and [tex]P(X\ge89)[/tex].

In either case, transform [tex]X[/tex] to the random variable [tex]Z[/tex] that's normally distributed with expected value 0 and standard deviation 1.

[tex]P(X\ge74) = P\left(\dfrac{X-80}3 \ge \dfrac{74-80}3\right) \\ = P(Z \ge -2) \\ = 1-P(Z < -2) \approx 0.9773[/tex]

[tex]P(X\ge89) = P\left(\dfrac{X-80}3 \ge \dfrac{89-80}3\right) \\= P(Z \ge 3) \\= 1 - P(Z < 3) \approx 0.0013[/tex]

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]

Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(7\times 10^5) + (4 \times 10^2)}\\\mathsf{= 7\times 10^5 + 4 \times 10^2}[/tex]

[tex]\large\textsf{Let's solve for the LEFT SIDE first}[/tex]

[tex]\mathsf{7\times 10^5}\\\\\mathsf{10^5}\\\mathsf{= 10\times10\times10\times10\times10}\\\mathsf{= 100 \times 100\times 10}\\\mathsf{= 10,000 \times 10}\\\mathsf{= 100,000}\\\\\mathsf{7\times100,000}\\\mathsf{= 700,000}[/tex]

[tex]\large\textsf{NEW EQUATION: }\bold{700,000} + {4}\times 10^2[/tex]

[tex]\large\textsf{Now, let's solve for the RIGHT SIDE last}[/tex]

[tex]\mathsf{4\times 10^2}\\\\\mathsf{10^2}\\\mathsf{= 10\times10}\\\mathsf{= 100}\\\\\mathsf{4\times100}\\\mathsf{= 400}[/tex]

[tex]\large\text{NEW EQUATION: 700,000 + \bf 400}[/tex]

[tex]\large\text{700,000 + 400}\\\\\large\text{SIMPLIFY IT!}\\\\\large\text{= 700,400}[/tex]

[tex]\huge\text{Therefore, the answer should be: \boxed{\mathsf{700,400}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C. 4x²√(3x)

Step-by-step explanation:

if x > 0

[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]

          [tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]

          [tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]

          [tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]

          [tex]=4\times x^{2}\times \sqrt{3x}[/tex]

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

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Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

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Answer:

To answer 5)

First we know that...

[tex]\frac{235}{360}[/tex] of the circle = 94 people

To find total people=

[tex]\frac{235}{360}[/tex]×x=94

x=144 people

To find the number of hokey players: 360-(235+90) =35

so, [tex]\frac{35}{360}[/tex]×144=14

So, 14 people are chose hockey

Answer:

x < 8

Step-by-step explanation:

9x + 3 > 10x - 5

9x - 10x > -5 - 3

-x > -8

x < 8

g(x) is the inverse of f(x)

[tex]f(x) = {x}^{2} [/tex]

[tex]g(x) = \sqrt{x} [/tex]

a)The probability that all 10 will arrive within two days is 0.3486.

b)  P(x = 8) = 0.1937

c)  P(x=5)= 0.0014

d)  mean = 9

e) Standard deviation = √0.90 = 0.9486

The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated a specific number of times and the outcome for a given patient is either a success or a failure.

Given:

p = 90/100 = 0.90

q(probability of success) = 1 - p = 1 - 0.90 = 0.10

n = 10

a)The probability that all 10 will arrive within two days

P(x = 10) = 0.3486

b) P(x = 8) = 0.1937

c) P(x=5)= 0.0014

d) mean = np = 10 × 0.90 = 9

e) Variance = npq = 10 × 0.90 × 0.10 = 0.90

Standard deviation = √0.90 = 0.9486

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Answer:

1. This expression has 3 terms.

2. This expression has 2 terms

3. Solution 43-8=35

3. binomial

2+3+9= trinomial

6=monomial

Step-by-step explanation:

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

[tex]\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67[/tex]

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

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The total fencing material required to surround the playground of length l and width w and 2 flower beds of side a is 2 ( l + b ) + 8a units.

The perimeter of a two-dimensional shape is the total length of the outline.

Perimeter of rectangle = 2 ( l + b ).

Perimeter of square = 4 × side.

Given the length of the playground is l and its width is w and the length of each side of the flower beds is a.

The total fencing material required = perimeter of playground + 2 *                             Perimeter of flower bed.

                        =  2 ( l + w ) + 2 * 4a

                        = 2 ( l + w ) + 8a units.

Therefore, The total fencing material required to surround the playground and flower beds is 2 ( l + w ) + 8a units.

The question seems incomplete, its options could be:

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Answer:

1/15 is the answers for the question

Step-by-step explanation:

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The situations described can be classified as experiment, and observational study.

An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.

An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.

Note: This question is incomplete because there is some information missing. Here is the information missing.

OPTIONS:

Does learner-centered instruction increase students' success rates in maths?

What proportion of registered women voters voted in the 2016 U.S. presidential election?

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The correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C.

As the value of MOE is 0.13 degrees

It is a serious problem because the margin of error is quite narrow in comparison to the shift from year to year.

Thus, the correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

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Explanation:

A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

Answer:

To find the slope:

[tex]\frac{(y_{1} - y_{2})}{(x_{1} - x_{2})} =\frac{(-3-(-4))}{(-5-0)} =\frac{1}{-5}[/tex]

Hope it helps!

Answer:

Look down my answer↓:

Step-by-step explanation:

Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.

It states that, for a normally distributed random variable:

In this problem, 2.96 is one standard deviation above the mean. We have that:

Hence the percentage is given by:

P = 50% + 0.68 x 50% = 50% + 34% = 84%.

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Answer:

linear; the rate of change is constant