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3 years ago

What is the solution to the equation 4x = 42? x = 6 x = 10 x = 10.5 x = 10.6

Mathematics

1 answer:

photoshop1234 [79]3 years ago

8 0

Answer:

×=10.5

Step-by-step explanation:

4x=42

×=42÷4

x=10.5

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When you do this please show the work

mart [117]

Answer:

2) $\displaystyle -9a^3b^5$

1) $\displaystyle \frac{x^8}{3}$

Step-by-step explanation:

2) $\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}$

1) $\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}$

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you <em>keep</em> the coefficients and deduct the exponents.

I am joyous to assist you at any time.

7 0

1 year ago

Find x1 and x2.

stepladder [879]

Answer:

$x_1 = 7\\x_2 = 6$

Step-by-step explanation:

To find x₁ and x₂ :

$\left[\begin{array}{ccc}-4&1\\5&4\\\end{array}\right] \times \left[\begin{array}{ccc}x_1\\x_2\\\end{array}\right] + \left[\begin{array}{ccc}11\\-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\\\end{array}\right]$

Step 1

Multiply first 2 x 2 matrix with 2 x 1 vector, we get

$\left[\begin{array}{ccc}-4x_1&+ x_2\\5x_1&+ 4x_2\\\end{array}\right] + \left[\begin{array}{ccc}11\\-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\end{array}\right]$

Step 2

Add the 2 x 1 matrices on LHS, we get

$\left[\begin{array}{ccc}-4x_1&+x_2&+11\\5x_1&+4x_2&-19\\\end{array}\right] = \left[\begin{array}{ccc}-11\\40\end{array}\right]$

Step 3,

we get

$-4x_1 + x_2 + 11 = -11$

and

$5x_1 + 4x_2-19=40$

Step 4,

Simplify, we get

$-4x_1+x_2=-22----(1)\\ 5x_1+4x_2=59----(2)$

Step 5,

multiply eqn(1) by 4

we get

$16x_1+4x_2=-88$

Step 6,

eqn (2) - eqn(3)

we get

$21x_1 = 147\\x_1 =\frac{147}{21} \\x_1= 7$

substituting in eqn (1), we get

$(-4 \times 7) + x_2 = -22$

so, we get

$x_2 = 6$

Therefore

$x_1 = 7\\x_2 = 6$

5 0

2 years ago

Solve the two step equations

disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

a + 2 = -3

a = -3 - 2

a = -5

Good luck! :)

7 0

2 years ago

Yeahhhhhhhhhbb plzzzsssszzz

Tcecarenko [31]

A, 25.376. This rounded to the nearest hundredth would be 25.38 not 25.37.

4 0

2 years ago

Use your creativity... Write a short story/problem/question that can be described by the scenario of 4 divided by 1/2

vazorg [7]

Answer:

I was at the store getting groceries I saw that there was a sell on bags of candy The original price was 4.00 dollars The sale is 1/2 off a bag of candy what is the new price. The answer is 2.00 dollars.

8 0

2 years ago