What is the x-coordinate of the solution to the following system of equations? x − 2y = 2 3x + y = 6 x = −2 x = 0 x = 2 x = 3

Answer:

Step-by-step explanation:

[tex]\frac{10}{\sqrt{2}+\sqrt{7}}=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2}+\sqrt{7})*(\sqrt{2}-\sqrt{7})}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2})^{2}-(\sqrt{7})^{2}}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{2-7}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{-5}\\\\=-2*(\sqrt{2}-\sqrt{7})\\\\= -2\sqrt{2}+2\sqrt{7}[/tex]

Hint: (a + b)(a -b)= a² - b²

(√2+√7)(√2-√7)=(√2)²-(√7²) = 2 - 7 = -5

Answer:

1. 1:4

2. 4:1

3. 3:5

4. 2:3

5. 1:3

6. 1:10

7. 1:2

8. 3:2

Answer:

  3/10 liter

Step-by-step explanation:

Assuming your description means that 4/3 liters of punch includes 2/5 liters of water, then the fraction of punch that is water is ...

  (2/5)/(4/3) = (2/5)(3/4) = 3/10

3/10 of a liter of water is used in each liter of punch.

Answer:

780cm cubed

Step-by-step explanation:

Answer:

There is no choices

Step-by-step explanation:

2x2x2x2x2 or 2 to the 5th power is 32

Whichever expression equals twice of 32, or 64 is the correct answer

Answer:2^6

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 = 32

Twice the value of 2 x 2 x 2 x 2 x 2 i.e. 32 = 32×2

= 2^6

2 ^6

The key word is "identical." If all students received identical packages, then Dr. Stein could have handed out 30 packages. He has a maximum of 30 notebooks to hand out, so if each package has one notebook, he can hand out 30 packages. Each of those 30 packages will also have 2 pencils and 10 erasers.

ANSWER: There are 30 packages maximum so he can have a maximum of 30 students.

Hope this helps! :)

Please give me brainly

Thankyou!

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

[tex]\frac{6(x - 3)}{6}=\frac{24}{6}\\\\[/tex]

x - 3 = 4

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

a. 8^1/3

=2^3*1/3

=2 Answer.

b. 8^2/3

=2^3*2/3

=2^2

=4 ans

c. 16^3/4

= 2^4*3/4

= 2^3

= 8 ans

Answer:

An expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

Step-by-step explanation:

Let a represents the number of pounds of apples

Let b represents the number of bananas

Cost of 1 pound apple = $1.79

So, Cost of a pounds apples = 1.79 a

Cost of 1 banana = $0.36

Cost of b bananas = 0.36b

Cost of 3 lb bag of potato i.e. 3 pounds of potato = $2.99

So, Total cost = 1.79a+0.36b+2.99

Abigail has $30.00 to buy groceries

Let y be the change received by her

So, Change received by her:

y = 30-( 1.79a+0.36b+2.99)

y= 30-1.79a-0.36b-2.99

y=-1.79a-0.36b+27.01

Hence  expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

Answer:

[tex]89.7in^2[/tex]

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\=\frac{10.5*19.4}{2}*6\\ =89.7in^2[/tex]

The inequality equations are given as |x - 4| ≤ 1 and |y - 6| ≤ 2, then the correct option is B.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

From the diagram, the inequalities equation will be given as

For x, we have

[tex]\begin{aligned} 3 &\geq \ \ \ \ x&\geq 5\\-1 &\geq x-4&\geq 1\end{aligned}[/tex]

Then after the mode function, we have

[tex]|x-4|\leq 1[/tex]

Similarly, for y, we have

[tex]\begin{aligned} 4 &\geq \ \ \ \ y&\geq 8\\-2&\geq y-6&\geq 2\end{aligned}[/tex]

Then after the mode function, we have

[tex]|y-6|\leq 2[/tex]

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

the third side should be greater than 6 - 4.5 = 1.5 and should be smaller than 6 + 4.5 = 10.5.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Theoretically, there's a 50/50 chance of each happening, no matter how many times it's flipped.

Answer:

104

Step-by-step explanation:

2x^2+8x−5=0

This is written in the form

ax^2 + bx+c

a =2  b = 8   c=-5

The discriminant is

b^2 -4ac

8^2 - 4(2)(-5)

64 + 40

104

The discriminant is 104

Solution,

x°=105°( being corresponding angles)

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

x=105 degrees corresponding angles are equal

Answer:

https://brainly.com/question/14691406

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

Shifting f(x) to the right 3 units is accomplished by replacing x with x-3:

  g(x) = f(x-3)

  g(x) = (x -3)^2 +5(x -3) -1 . . . . matches choice D

Answer:

11/ 14 chance that you will pick a white stone

3/14 chance to picka a black stone

Step-by-step explanation:

Hope that helps

Answer:

Step-by-step explanation:

[tex]P=\frac{11}{14} \times \frac{3}{13} =\frac{33}{182 }[/tex]

Answer:

Hai

5√3 is can equal to √75

because when i take 5 in root, i have to multiply by itself and 3.

5√3 is can equal to √15.√5

because its already equal to √75

5√3 is can equal to √25.√3

because its equal to √75

the other options are wrong.

good luck(:

Answer:

75.06 m

Step-by-step explanation:

Look at the picture*

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 40,

Let b = 9,

[tex] {c}^{2} = {40}^{2} + {9}^{2} [/tex]

[tex] {c}^{2} = 1600 + 81[/tex]

[tex] {c}^{2} = 1681[/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41 \: units[/tex]

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

The answer is most likely pests (D)

Pets are typically not insured under property insurance.

Option D is the correct answer.

Property insurance is a type of insurance policy that provides financial protection against damage or loss to physical property, such as a home, business, or personal belongings.

It typically covers a wide range of perils, including fire, theft, natural disasters, and vandalism, depending on the specific policy and coverage limits.

We have,

Pets are typically not insured under property insurance.

While property insurance policies may cover damage or loss of personal property, such as furniture, jewelry, and electronics, they generally do not provide coverage for pets.

Pet insurance policies are available as a separate type of insurance to cover the cost of veterinary care and other expenses related to owning a pet.

Thus,

Pets are typically not insured under property insurance.

Learn more about property insurance here:

https://brainly.com/question/16267577

#SPJ5

Answer:

I think the answer will be 14.4 inches tall.

Step-by-step explanation:

Answers:

20%, 0.2

1/4, 0.25

50%, 0.5

2/3

Answer:

Step-by-step explanation:

Fraction: 1/4 since 25% is 25% of 100%

Fraction: 1/3

Percentage: 1/5 = 0.2 = 20%

Percentage: 1/2 = 0.5 = 50%

Decimal: 20% = 0.2

Decimal: 25% = 0.25

Decimal: 50% = 0.5

Answer:

a) -4

b)

x    h                   [f(x+h) - f(x)] / h

3    2                  -4

3    1                   -4

3    0.1                -4

3    0.01              -4

Step-by-step explanation:

a) The difference quotient is:

[f(x+h) - f(x)] / h

Our function is -4x + 7​, then:

f(x+h) = -4(x+h) + 7​ = -4x -4h + 7

f(x) = -4x + 7​

f(x+h) - f(x) = -4x -4h + 7 - (-4x + 7​ )= -4x -4h + 7 +4x - 7​ = -4h

Finally:

[f(x+h) - f(x)] / h =  -4h/h = -4

b)

First point in the table:

x = 3

h = 2

f(x+h) = -4(3+2) + 7​ = -13

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -13 -(-5) = -8

[f(x+h) - f(x)] / h = -8 / 2 = -4

Second point in the table:

x = 3

h = 1

f(x+h) = -4(3+1) + 7​ = -9

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -9 -(-5) = -4

[f(x+h) - f(x)] / h = -4 / 1 = -4

Third point in the table:

x = 3

h = 0.1

f(x+h) = -4(3+0.1) + 7​ = -5.4

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -5.4 -(-5) = -0.4

[f(x+h) - f(x)] / h = -0.4 / 0.1 = -4

Fourth point in the table:

x = 3

h = 0.01

f(x+h) = -4(3+0.01) + 7​ = -5.04

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -5.04 -(-5) = -0.04

[f(x+h) - f(x)] / h = -0.04 / 0.01 = -4