Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .

Answer:

D. 3x² - x - 6

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

Answer:

3349.5 [tex]cm^{3}[/tex]

Step-by-step explanation:

see image

Answer:

13

Step-by-step explanation:

11 * 12 * 19 * 20 * 13 = 75

75/5 = 15

Answer:

13

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fifth number , then

[tex]\frac{11+12+19+20+x}{5}[/tex] = 15

[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )

62 + x = 75 ( subtract 62 from both sides )

x = 13

Answer:

8

Step-by-step explanation:

Factors of 40: 1 2 4 5 8 10 20 40

Factors of 56: 1 2 4 8 14 28 56

Common factors: 1 2 4 8

Greatest common factor: 8

Answer:

8

Step-by-step explanation:

Prime factorization

40  = 2 x 2 x 2 x 5

56 = 2 x 2 x 2 x 7             common factor 2 x 2 x 2 = 8

Answer:

 D is your answer  Outlier An extreme value in a set of data which is much higher or lower than the other numbers.

Step-by-step explanation:

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data

Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) [tex]x \leq -2[/tex].

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

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Answer:

Quick answer, C. 7 units!

Answer:

There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.

Step-by-step explanation:

Answer:

x + y = 4

substitute (-A, 2B) in the equation.

-A + 2B = 4

substitute (3A-2, 3-B) in the equation

3A-2 + 3-B = 4

Use elimination method and hence multiply the first substituted equation by 3

-3A + 6B = 12

3A-2 + 3-B = 4

-2 + 3 + 5B = 16

5B = 15

B = 3

Substitute value of B in any of the equations

and hence A = 2

Answer:

y ≥ 14

Step-by-step explanation:

Add 27 to both sides to get:

y ≥ 14

Therefore the answer is y ≥ 14.

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

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I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].

From the given recursive rule,

[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]

and by substitution,

[tex]\implies a_n = a_{n-2} + 2\times2[/tex]

Similarly,

[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]

[tex]\implies a_n = a_{n-3} + 3\times2[/tex]

The pattern continues, so that we can write the n-th term in terms of the 1st one:

[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]

So the first few terms of the sequence are

{10, 12, 14, 16, 18, 20, …}

Answer:

e.  0.308.

Step-by-step explanation:

I can't draw the tree diagram but the answer is

P(red first) = 7/14 = 1/2

P( then black)  = 4/13

P(red then black) = 1/2 * 4/13 = 2/13

P(black first) = 4/14 =  2/7

P( then red)  = 7/13

P(black then red) =2/7 * 7/13 = 2/13

So Probability of red and black in any order

= 2/13 + 2/13  = 4/13

= 0.308.

Answer:

84/100

Step-by-step explanation:

We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.

Answer:

x+1y=-4

Step-by-step explanation:

use ax+by=c

Answer:

Claro esta:

139 x 1

Pero tambien

69.5 x 2

Y

46.3 x 3

Y muchos mas

Answer:

No graph was provided but Ive attached my own

Step-by-step explanation:

f(x) = 3x + 4 → y = mx + b

y - intercept (b) is 4

slope (m) is 3 so the rise / run = 3 / 1

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Answer:

13.9%

Explanation:

Rolling for 2 : (1, 1)

Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)

So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes

Note: There are 36 outcomes when rolling a two fair cubes.

[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]

[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]

[tex]\rightarrow \sf 13.9 \%[/tex]

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

The value of the definite integral corresponds to the total area of two triangles (see attached plot).

[tex]\displaystyle \int_{-4}^3 \left|\frac x2\right| \, dx = \dfrac12 \times 2 \times 4 + \dfrac12 \times 3 \times \dfrac32 = \boxed{\frac{25}4}[/tex]

The height of the square-based pyramid is 3.5 in.

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]

[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]

Given that:

[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]

[tex]\mathbf{10.5 =3\times h}[/tex]

[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]

h = 3.5 in

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Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge

The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II

The expression is given as:

cos(x) = -3/10

Using the following trigonometry identity:

sin²(x) + cos²(x) = 1

The equation become

sin²(x) + (-3/10)² = 1

Evaluate the exponent

sin²(x) + 9/100 = 1

Subtract 9/100 from both sides

sin²(x)  = 91/100

Take the square root of both sides

[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]

Sine is positive in quadrant II.

So, the tangent is calculated using:

[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]

This gives

[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]

Evaluate

[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]

Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]

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To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   [tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

Answer:

no i cannot help you

Step-by-step explanation:

thats good

Answer:

3

Step-by-step explanation:

The N1, N6 and N8 national highways meet in Bloemfontein,

Hope This Helped