Which equation has the same solution as x2 - 6x - 14 = 0?
А
(x + 3)2 = 23
B
(x - 3)2 = 23
С
(x + 3)2 = 5
D
(x - 3)2 = 5

9514 1404 393

Answer:

  z = 14.4

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  z/12 = 6/5 . . . . . . . . . write a proportion*

  z = 12(6/5) = 72/5 . . . . . multiply by 12

  z = 14.4

_____

* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.

It would be at (7,5)

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

range=highest number - lowest number

=8 - 0

=8

Answer:

length=28 cm

the area = 196 cm²

Step-by-step explanation:

length = 4 × width

2×(4w+w) = 70

2×5w=70

10w=70

w= 7 cm

length = 4×7 = 28 cm

the area = 28 ×7 = 196 cm²

Answer:

(4.3 ; 4.5)

Step-by-step explanation:

Given :

Sample size, n = 343

Sample Mean, xbar = 4.4

Standard deviation, σ = 0.9

Zcritical at 90%

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.645 * (0.9/√343)

Margin of Error = 0.0799394

Lower boundary = 4.4 - 0.0799394 = 4.320

Upper boundary = 4.4 + 0.0799394 = 4.480

(4.320 ; 4.480)

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

-------------------------

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours

9514 1404 393

Answer:

  12 inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Fill in the given values and solve for the height.

  24 in² = 1/2(4 in)h

  h = (24 in²)/(2 in) = 12 in

The height of the triangle is 12 inches.

Answer:

12 inches

Step-by-step explanation:

Area = [tex]\frac{1}{2}bh[/tex]

24 = [tex]\frac{1}{2} * 4 * h[/tex]

24 = 2h

h = 12 inches

Answer:

88

Step-by-step explanation:

Answer:

under

Step-by-step explanation:

We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine

390625

^if that’s what you meant in the picture cause your question was confusing

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

-------------

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

----------------------

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

Answer:

Step-by-step explanation:

You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:

y = -.36(22) + 12.6 and

y = -7.92 + 12.6 so

y = 4.68F

Answer:

20 and 90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Maximum  is at (1.5,14).

Minimum is at (4, 0).

y-intercept is at  (0, 9)

x intercept is at ( 4, 0).

increasing from x = 0 to x = 1.5 and x = 0 to 6.

decreasing from  x = 1.5 to x = 0

Answer:

y = 4x - 3

Step-by-step explanation:

Find two point of the line

(0,-3) ; (1,1)

Use this formula

(y - y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-3)/(1-(-3) = (x-0)/(1-0)

(y+3)/4 = x

y+3 = 4x

y = 4x -3

Answer:

y = 4x -3

Step-by-step explanation:

The y intercept is (0,-3)

Using another point on the line (1,1), we can find the slope

m = (y2-y1)/(x2-x1)

m = (1 - -3)/(1-0)

   = (1+3)/(1-0)

   = 4/1

The equation for a line in slope intercept for is

y = mx+b where m is the slope and b is the y intercept

y = 4x -3

Answer:

ok

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

Learn more about sin angle here;

https://brainly.com/question/18597026

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Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

Answer:

minimum- 19

first quartile - 26.5

median - 29

third quartile - 31

maximum - 40

Step-by-step explanation:

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

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

[tex]g(x) = 2^x - 4[/tex]

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

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

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

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Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 65.4

not sure about area Sorry