14 What are the solutions to the equation 3(x − 4)² = 27?
(1) 1 and 7
(3) 4 ± √24
(2) −1 and -7
(4) − 4 ± √24

Answer:

y=-1/1x

Step-by-step explanation:

First, let's take the slope of a line equation:

y=mx+b

Now, all we have to do is find the slope(m) and the y-intercept(b).

The line intercepts the y axis at 0, so b=0.

Next, find the slope.

The equation to FIND slope is rise/run, so we can solve that:

1/1=1, but since the line goes down, it's negative.

The slope is 1, so m=1.

Now, put that into m.

y=-1x+0, but we don't need 0, so the answer is y=-1x.

Answer:

[tex]x = \dfrac{\sqrt{22}}{2}[/tex]

Step by step explanation:

[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]

Answer:

20ft²

Step-by-step explanation:

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]

where G is a random variable taking on one of two values (male or female).

Answer:

y=1

Step-by-step explanation:

Start by plugging in -3 for x in the equation 2x+5y=-1 then solve for y.

2(-3)+5y=-1

-6+5y=-1 (add 6 to both sides)

5y=5 (divide both sides by 5)

y=1

Answer:

Sorry

Step-by-step explanation:

I not know this one

Answer:

0.41

Step-by-step explanation:

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 7 / 17 = 0.41 that means

7/17 in decimal form is 0.41

Hope This Helped

Answer:

7/17 is equal to 41176470588...

Step-by-step explanation:

This is called a never ending decimal. Hope this helps! :)

Answer:

  E.  18.6

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.

__

Complementary angles total 90°.

  (x°) +(4x -3)° = 90° . . . . . the marked angles are complementary

  5x = 93 . . . . . . . . . . . .  divide by °, add 3

  x = 93/5 = 18.6 . . . . . divide by the coefficient of x

The value of x is 18.6.

Answer:

=1

Step-by-step explanation:

Answer:

  A. one solution; lines intersect at one point

  B. (x, y) = (3, 4)

Step-by-step explanation:

A linear equation will be represented on a graph by a straight line. A pair of equations will graph as a pair of lines. If the lines are not coincident or parallel, they will intersect at exactly one point. That point is the solution to the pair of equations.

__

A graph of the given points quickly shows the lines are not parallel or coincident. Each point on line A satisfies the equation that describes the line. Each point on line B satisfies the equation that describes line B. The point of intersection is a point that satisfies both equations.

A pair of distinct non-parallel lines can have at most one point of intersection. Hence there can only be one solution to the pair of equations.

__

The graph shows the solution to the equations for lines A and B is ...

  (x, y) = (3, 4)

1 year = 12 months

Pages to write in 12 months = 1260

Pages to write in 1 month = 1260/12

= 105 pages per month

Step-by-step explanation:

write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it

The factor pair of 36 whose sum is -20 are -2 and -18.

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Let x and y be the two factors of the number 36.

Then we have,

x × y = 36

Write the factors of the number 36 as the product.

36 = 1 × 36, sum = 1 + 36 = 37

36 = -1 × -36, sum = -1 - 36 = -37

36 = 2 × 18, sum = 2 + 18 = 20

36 = -2 × -18, sum = -2 - 18 = -20

Hence the factor pair of 36 whose sum is -20 are -2 and -18.

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Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

Answer:

p = 5

Step-by-step explanation:

Given equation:

2p - 3 = p+2

To Find:

Soln:

2p - 3 = p + 2

Subtract p from both sides:

=>2p-3−p = p+2-p

=>p-3 = 2

Add 3 to both sides:

=>p−3+3 = 2+3

=>p = 5

Hence,the value of p would be 5.

We can plug the value we got to the original equation to verify:

=> 2p - 3 = p + 2

=> 2(5) -3 = 5 + 2

=> 10 - 3 = 7

=> 7 = 7 [Proved]

Hence,this equation is true.

[tex]\rule{225pt}{2pt}[/tex]

Acronym PEMDAS rule means:

Answer:

p = 5

Step-by-step explanation:

First we add 3 to both sides to make :

2p = p + 5

Now we subtract p from both sides :

p = 5

Hope this helped and brainliest please

Answer:

5/12

Step-by-step explanation:

1/6 can be turned into 2/12

7/12-2/12=5/12

The equation to represent the proportional relationship is c = 0.25d

Let c = the number of cans

Let d = the number of days

So, we have:

c = kd

Where k represents the constant of proportionality.

From the given parameters, we have:

3 = 12k

Divide both sides by 12

k = 0.25

Substitute k = 0.25 in c = kd

c = 0.25d

Hence, the equation to represent the proportional relationship is c = 0.25d

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Answer:

Its option C

As,

x+8=3x

8= 3x-x

8=2x

8/2=x

4=x

#x=4

Function rule describes the translation OT_1-9(x, y)

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

Let's (x, y) be the coordinate.

where x be the horizontal move and y be the vertical move.

As, it is translated 9 units down and 1 unit right.

then

(x, y) = (x +1, y - 9)

and the translation be

(x, y ) = (x+1, y-9)

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Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

The statements that are true about the given points on the line are; Options B, C and D

A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.

Let us check each of the given options;

A) There are exactly two planes that contain points A, B, and F;

If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.

Since we can't make two planes with them, then the statement is false.

B) There is exactly one plane that contains points E, F, and B;

Due to the same reasoning in part A, the statement is true assuming the points are not collinear.

C) The line that can be drawn through points C and G would lie in plane X;

The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.

D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.

E) The only points that can lie on plane Y are points E and F.

This statement is false because infinite points can lie on a plane.

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The system of inequalities with no solution is x > 3 x < 1

The systems of inequalities are given as:

x < 3 x < 1

x > 3 x > 1

x < 3 x > 1

x > 3 x < 1

As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.

This means that if x is greater than 3, then it must be greater than 1

Hence, the system of inequalities with no solution is x > 3 x < 1

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Answer:

90°

Step-by-step explanation:

note that [tex]\frac{2}{8}[/tex] simplifies to [tex]\frac{1}{4}[/tex]

There are 360° in one turn of the circle , then

[tex]\frac{1}{4}[/tex] × 360° = 360° ÷ 4 = 90°

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

The slope of the linear equation, y = -9x - 8 is determined as: -9.

If the equation of a line is given in a slope-intercept form, y = mx + b, the slope value is represented as m.

Thus, given the equation y = -9x - 8, the slope in the linear equation is -9.

Therefore, slope of y = -9x - 8 is: -9.

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Answer:

g(-3) = 20

g(2) = 10

g(7) = 100

Step-by-step explanation:

g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).

g(x) = 2f(x)

g(x) = 2(x² + 1)

Multiply.

g(x) = 2x² + 2

Now that we have g(x) we just substitute values in the function.

g(-3) = 2(-3)² + 2

        = 2(9) + 2

        = 18 + 2  

        = 20

g(2) = 2(2)² + 2

        = 2(4) + 2

        = 8 + 2  

        = 10

g(7) = 2(7)² + 2

        = 2(49) + 2

        = 98 + 2  

        = 100

Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

A linear function is modeled by:

y = mx + b

In which:

Each of the stocks can be modeled by these following functions:

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Answer:

0.6= 6/10

[tex]0.6 = 6 \div 10[/tex]

Step-by-step explanation:

To convert a decimal to a fraction

 place the decimal number over its place value

For example

in 0.8 the 8is in the tenths place,

so we place 6 over 10 to create the equivalent fraction, 8/10.

example 2

=6.25

625/100

25/4

Answer:

≈ 240,000,000 people

Step-by-step explanation:

[tex]3.1 \cdot 5 = 15.5[/tex]

[tex]15.5[/tex] ≈ [tex]16[/tex]

[tex]Y = X(1 - P\%)\\Y = 282,000,000(1 - 16\%)[/tex]

[tex]p = 16\%/100 = 0.16\\Y = 282,000,000(1 - 0.16)\\Y = 282,000,000(0.84)\\Y = 236,880,000\\[/tex]

[tex]236,880,000[/tex] ≈ [tex]240,000,000[/tex]