Adding and subtracting radicals

Answer:

x = 7

Step-by-step explanation:

We can use ratios to solve

3x-6            10

----------   = -------------------

12+(3x-6)        10+8

Simplifying

3x-6            10

----------   = -------------------

(3x+6)        18

Using cross products

18(3x-6) = 10(3x+6)

Distribute

54x - 108 = 30x +60

Subtract 30x from each side

54x-30x -108 = 60

24x -108 = 60

Add 108 to each side

24x = 60+108

24x = 168

Divide each side by 24

24x/24 = 168/24

x =7

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

Learn more about the x-intercept here;

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Omg! Thank you. I was stuck for like an hour till I found this.

Answer:

Omg, thank you so much

Step-by-step explanation:

Answer:

4,600

Step-by-step explanation:

92,000/8= 11500

11500 x 4= 46000 to his wife

11500 for the son

92000-57500= 34500

34500/5= 6,900 each charity

11500-6900= 4600 is how more he is getting than each charity

Answer:

4600 more money

Step-by-step explanation:

92000 ÷ 8 = 11500

1 part to his son

3(11500)= 34500

34500 ÷ 5 = 6900

11500-6900= 4600

Answer:

Area = 28.27 cm^2 when the radius is 3cm

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Answer:

Omg i legit thought i had the answer

Step-by-step explanation:

Hi! I am very sorry I don't know the answer but I hope you figure it out soon!

Answer:

Y=9000(1.09)^X

Step-by-step explanation:

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer: X= -1

Step-by-step explanation:

Subtract 10 from both sides.

then Divide both sides by -5.

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

Dependent events have results that depend on each other.  When I take one sock out, there are less socks in the drawer to pick from.  The probability of picking a certain sock changes because the number of socks are different when I do not put the sock back.  That makes the events dependent.

When I put the sock back, the  probability goes back to what it was before I took the sock, and now the results do not depend on each other, so when they are replaced, they are independent

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

choosing two socks from a drawer of black and white socks without replacement are dependent events because the available options for the second selection depends on which colour was the first sock

Answer:

x2 - x - 12 = 0

Step-by-step explanation:

(x - 4) (x + 3) = 0

x(x + 3) -4(x + 3) = 0

x2 + 3x -4x - 12 = 0

x2 -x -12 = 0

Answer:

7/22

Step-by-step explanation:

Probability of picking a red sock the first time: 7/12

Probability of picking a red sock the second time: 6/11 (Since you already took out one sock, thus decreasing both the number of red and total socks in the drawer.)

7/12 * 6/11  = 42/132

42/132 = 7/22

Answer:

500 milliliters or ml

Step-by-step explanation:

First, we find the amount of milk is in the measuring cup which is 350 ml  and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.

Hope it helped :)

The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Von mixes tomato sauce and milk to make soup.

Initially, the amount of tomato sauce added in the pot = 150 milliliters.

Then, milk is added that is in the measuring cup that is 350 milliliters.

So,

The total amount of soup made by him,

= 150 + 350

= 500 milliliters.

To know more about arithmetic operations:

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Answer:

b. 23.3

Step-by-step explanation:

1.(25)^2=x^2 + (9)^2

625= x^2 + 81

2. subtract 81

544= x^2

x= 23.3

Answer:

3 over 1

no problemnndjdjd

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Answer:

-3

Step-by-step explanation:

To find the common ratio

Take the second term and divide by the first

6/-2 = -3

Check by taking the third term and dividing by the second

-18/6 = -3

And the fourth and dividing by the third

64/-18 = -3

The common ratio is -3

Answer:

-3

Step-by-step explanation:

-2(-3)=6

6(-3)=-18

etc...

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

Answer:

Step-by-step explanation:

Answer:

The first choice is correct

Step-by-step explanation:

$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer

Answer:

its d i just did it

Step-by-step explanation:

\

The graph is a linear and straight line so option (B) will be correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given graph is ;

y = 2x - 3

The slope of any function is given by;

dy/dx

So,

d(2x - 3)/dx = -2

Since the slope is constant that it will be a straight line and the straight line curve is a linear function because it has a degree of 1.

Hence "The graph is a linear and straight line".

For more about the linear function,

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Given question is incorrect correct question is attached in form of the image below;

Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }[/tex]

Let:

(x₁ , y₁) = (0 , 5)

(x₂ , y₂) = (8 , 0)

Plug in the corresponding numbers to the corresponding variables:

Remember to follow PEMDAS. Solve the parenthesis first:

distance = [tex]\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }[/tex]

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

Solve for the powers next:

distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]

distance = [tex]\sqrt{64 + 25}[/tex]

Simplify:

distance = [tex]\sqrt{64 + 25}[/tex]

distance = [tex]\sqrt{89}[/tex]

~

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

:)

Answer:

x coordinate of point B

Step-by-step explanation:

yw

Answer:

20.93cm

Step-by-step explanation:

The shape of the solid is rectangle

Area = length × width

But the width (w) = 2 times the length minus 2

W = 2L - 2

A = L × (2L - 2)

Area of the rectangle = 182cm²

A = 2L² - 2L

182 = 2L² - 2L

2L² - 2L - 182 = 0

L² - L - 91 = 0

Solving the equation using quadratic formula,

A = 1, b = -1, c = -91

L = [-b±√(b² - 4ac)]/2a

L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²

L = [1 ± √(1² + 364)] / 2

L = [1 ± √(365)] / 2

L = (1 ± 19.10) / 2

Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides

L = (1 + 19.10) / 2 = 10.05cm

Width = 2L - 2

W = 20.1 - 2 = 18.10cm

Length = 10.05cm

Width = 18.10cm

Diagonal of the rectangle = ?

To find the diagonal, we'll use pythagorean theorem,

A = diagonal

B = length

C = width

a² = b² + c²

a² = (10.05)² + (18.10)²

a² = 110.25 + 327.61

a² = 437.86

a = √(437.86)

a = 20.93cm

The diagonal of the rectangle is 20.93cm

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

Answer:

0

Step-by-step explanation:

If y=x then there is no change so the answer will always be 0

Answer: 0

Explanation: y=x then there is no change so the answer will always be 0. Mark Me Brainiiest, please.......