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3 years ago

How to solve ? [3x+4]+1=7

Mathematics

1 answer:

Vinil7 [7]3 years ago

6 0

to solve this we need to isolate the x variable.

subtract 1 from each side: [3x+4] = 6

now we can drop the parentheses and subtract 4 from each side: 3x = 2

divide each side by 3: x = 2/3

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These are my last two questions can someone please help me with them. :/

natka813 [3]

Answer:

x = -23

x = -33

Step-by-step explanation:

-10(x+5) + 9x = -73

-10x - 50 + 9x = -73

x - 50 = - 73

x = -73 + 50

x = -23

-5(x + 8) + 2x = 59

-5x - 40 + 2x = 59

-3x - 40 = 59

-3x = 59 + 40

-3x = 99

x = 99/-3

x = -33

8 0

3 years ago

Read 2 more answers

PICTURE ABOVE <br> find perimeter in inches <br> PLEASE HELP !!!

Vsevolod [243]

Answer:

C. 52

Step-by-step explanation:

First, find the base of the triangle. You can do this by looking at the top of the figure. 14 inches is the width of the rectangle, and 20 inches is the width of the rectangle and the base of the triangle. You can find the base of the triangle by subtracting.

$20-14=6$

The base of the triangle is 6. The height of the triangle is equal to the height of the rectangle, 8. Now you need to find the hypotenuse of the triangle using the Pythagorean theorem:

$a^2+b^2=c^2$

c is the hypotenuse. Find c:

$6^2+8^2=c^2\\36+64=100\\\\\sqrt{c^2}= \sqrt{100}\\c=10$

The hypotenuse of the triangle is 10. Now that you know the hypotenuse, you can find the perimeter. Add all the sides:

$10+20+8+14\\30+8+14\\38+14\\52$

The perimeter is 52 inches.

5 0

4 years ago

SIMPLE QUESTION! Multiply 3x^2(5x^3)

Afina-wow [57]

Answer:

15x^5

Step-by-step explanation:

That's the answer I got im pretty sure it correct

8 0

3 years ago

The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor

harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

$\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

Making $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ the subject of the formula we have:

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}$

Let’s say matrix A = $\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ , the inverse of matrix A = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ is determined by the formula $\frac{Adjoint(A)}{determinant(A)}$ . This can also be computed directly on a scientific calculator.

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

= $\left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]$