What are the solutions to the quadratic equation x? - 16 = 0?
N
OX= 2 and x = -2
O X= 4 and x = -4
O x = 8 and x = 8
OX= 16 and x = -16

Answer:

The first solution must have 0.6 l and the second one 0.4 l.

Step-by-step explanation:

The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:

0.0006*x + 0.0021*y = 0.0012

And the sum of volumes must be equal to 1 liter.

x + y = 1

We have the equation system:

x + y = 1  (1)

0.0006*x + 0.0021*y = 0.0012   (2)

Isolating the "x" variable in the first equation and applying it in the second we have:

x = 1 - y

0.0006*(1-y) + 0.0021*y = 0.0012

0.0006 - 0.0006*y + 0.0021*y = 0.0012

0.0015*y = 0.0006

y = 0.0006/0.0015 = 0.4

x = 1 - 0.4 = 0.6

The first solution must have 0.6 l and the second one 0.4 l.

I believe the the answer is zero.

Answer:

B. 5 + 2(3+2x) = x + 3(x+1)

Step-by-step explanation:

5 + 2(3+2x) = x + 3(x+1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8, which is absurd.

Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.

Answer:

648 cm³

Step-by-step explanation:

side area=(13+11)/2 ×9=12×9=108 cm²

volume=108×6=648 cm³

Answer:

x =  ± sqrt(-49)

or x =  ± 7i

Step-by-step explanation:

x^2 +49 = 0

Subtract 49 from each side

x^2 +49 -49 = 0-49

x^2 = -49

Take the square root of each side

sqrt(x^2) = ± sqrt(-49)

x =  ± sqrt(-49)

We have to complex numbers to solve

x = ± sqrt(-1) sqrt(49)

sqrt(-1) = i

x =  ±i *7

x =  ± 7i

Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]

Area ≤ 800

[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Answer:

The range Is 11

Step-by-step explanation: Range is the differance between the highest an lowest number, therefor you would use the highest number, 13 minus the lowest number witch is 2, so 13-2 is 11

Answer: 11

The range is the difference between the highest number and the lowest number

13 - 2 = 11 :)

Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle

Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total

So, this gives you your final answer. Ten bottles of water cost you $2.50!

Answer:

16 km per hour

Step-by-step explanation:

24÷1.5 = 16

Answer:

1 taza de harina

1 taza de harina1 taza de nueces molidas

1 taza de harina1 taza de nueces molidas1 taza de azúcar

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos100 gramos de mantequilla

Answer:

They help us describe real-world objects by coming in to play in several everyday life situations.

For example, its' easier to tell someone "I want 3 pounds of candy" instead of saying "I want armfuls of candy"

Hope this helps :)

Answer:

Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.

Step-by-step explanation:

Answer:

submit whatever you have, guess all of it to get it all done. if you have time you can go back and check

Step-by-step explanation:

Answer:

e°=100°

Step-by-step explanation:

Sum of angles in a triangle= 180°

70°+30°+x°=180°

100°+x=180

Collect like terms

x°=180-100

x°=80°

e° is an exterior angle

exterior angle =180- interior angle

180°- x°

180°- 80°

=100°

e°=100°

Answer:

(d)100

explanation:

Because the outer angle equals to the measure of the inner angles

hope it helps :)

Answer:

1

Step-by-step explanation:

The exact value of tan(π4) tan ( π 4 ) is 1 .

Answer:

line q because it just is

Step-by-step explanation:

The line that has zero slope is horizontal in the coordinate plane. the correct option is (a).

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given options can be analysed one by one as follows,

(a) A horizontal line on a coordinate plane is parallel to x axis.

The angle the line makes with x axis is zero which implies the slope is also zero.

(b)The line in the given case has some positive value of slope.

(c) A vertical line makes right angle with x axis.

Thus, the slope is tan(90°) = ∞,.

(d) The line in the given case has some negative value of slope.

Hence, the horizontal line will have zero slope.

To know more about slope click on,

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Answer:

$245

Step-by-step explanation:

8.75x3.5=30.625

30.625x8=245

Answer:

$245

is your answer

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

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Answer:

-⅖ + ⁹/¹⁵ = 3/15

Step-by-step explanation:

-⅖ + ⁹/¹⁵ = 3/15

The correct answer for the given equation is  [tex]\frac{3}{15}[/tex].

PEMDAS is the right standardized way of solving math problems if multiple operations are being used. The acronym stands for parentheses, then exponents, then multiplication and division, then addition and subtraction.

Given the equation, [tex]-\frac{2}{5} -(\frac{-9}{15} )[/tex] if we follow the PEMDAS then we have to remove the bracket first, and after that negative sign before 9/15 will get positive as follow:

⇒  [tex]-\frac{2}{5} +(\frac{9}{15} )[/tex]

⇒    [tex]-\frac{6}{15} +(\frac{9}{15} )[/tex]

      [tex]\frac{3}{15}[/tex] .

Hence, The equation which shows the value of the given Problem is D.

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Answer:

52 degrees

Step-by-step explanation:

Answer:

1. a   2. b   3. c  4. d

Step-by-step explanation:

you have to simplify but 2/2 to make the denominator 13 on number 3 and 4

Answer:

The value of x is -3 and 2.

Step-by-step explanation:

First, you have to elaborate the equation :

[tex] {x}^{2} + x - 6 = 0[/tex]

[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]

Next, you can factorize it by taking out the like-terms :

[tex]x(x - 2) + 3(x - 2) = 0[/tex]

[tex](x + 3)(x - 2) = 0[/tex]

Lastly you have to solve it :

[tex]x + 3 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex] or (look down)

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]

Answer:

[tex]x = -3[/tex]

Answer:

18.1cm

Step-by-step explanation:

11cm - 4cm = 7cm

16² - 7²

256 - 49 = 207

√207 = 14.387

x = 14.4

√14.39²+11²=√207+121= √328= 18.1cm

AC=18.1cm

I hope this helps ^_^

Formula: C = ((pi x diameter) / 4) + r + r

C = ((pi x 6) / 4) + 3 + 3

C = (6pi / 4) + 6

C = 1.5pi + 6

C = 10.71 millimeters

Hope this helps! :)

Answer:

10.71mm

Step-by-step explanation:

First find the circumference of the circle

C=2πr

then divide by 4

then add the radius 2 times to get the quarter circle perimeter

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of [tex]x[/tex] cm, then it's diagonal have the length of [tex]x\sqrt2[/tex] cm. Using the circle's area we can find the diagonal of the square, as shown below:

[tex]area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222[/tex]

Since the diameter of the circle is the same as the diagonal of the square, then:

[tex]x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971[/tex]

The side of the square is 5.971 cm

Answer:

5.97

Step-by-step explanation:

Answer:

9^2, 3^4

Step-by-step explanation:

9 x 9 = 81

3 x 3 = 9 x 3 = 27 x 3 = 81

Corrected Question

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

Scale on the old blueprint:

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

Scale on the new blueprint

1 inch equals = 6 feet; which we can reorder as:

6 feet=1 inch

1 feet =1/6 Inch

Therefore:

42 feet = 42 x 1/6 Inch =7 Inch

Thus, the width of the living room on the new​ blueprint is 7 Inch.

Answer:

Step-by-step explanation:

7

Answer:

≈ 7

Step-by-step explanation:

the formula of the volume of a cylinder is:

V = π r^2 * h

792 = 3.14 * 6^2 *h

so first divide by 6^2 (or 36) on both sides so you can start to isolate h

36/36 = 1   and  792/36 = 22

22 = 3.14 *h

now divide by 3.14 to get h by itself

3.14/3.14 = 1   and   22/3.14  ≈ 7

the answer is approximately 7 and precisely 7.002817496

hope this helps!! <3

Answer: 3/8

Step-by-step explanation:

1/8 of the charge of a battery is consumed in 16 days. How will be consumed in 48 days?

So, to answer this question we simple have to apply a proportion:

(1/8 )/16 = charge consumed /days

For 48 days= x /48 days

(1/8 )/16 = x/48

Solving for x (charge)

[(1/8 )/16] 48 = x

3/8 =x

Feel free to ask for more if needed or if you did not understand something.

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice