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Svetach [21]
2 years ago
10

class="latex-formula">
Mathematics
2 answers:
emmasim [6.3K]2 years ago
8 0

Answer:

x ≤ - \frac{1}{3}

Step-by-step explanation:

Given

3x + 14 ≤ 13 ( subtract 14 from both sides )

3x ≤ - 1 ( divide both sides by 3 )

x ≤ - \frac{1}{3}

Anna35 [415]2 years ago
6 0

Answer:

<h2>x≤-⅓</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>
  • inequality
  • PEMDAS
<h3>given:</h3>

3x+14≤13

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

step - 1  \colon \: define

3x + 14 \leqslant 13

step  - 2 \colon \: subtract

3x  + 14 - 14 \leqslant 13 - 14

3x \leqslant  - 1

step - 3   \colon \: divide

\frac{3}{3} x \leqslant   - \frac{1}{3}

x \leqslant   - \frac{1}{ 3}

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Answer:

31, 32, 33

Step-by-step explanation:

three consicutive numbers means 3 numbers in a row

sum 96 is the total you want to reach

31 + 32 + 33

7 0
2 years ago
What is 550 divide by 76
harina [27]

Answer:

7.236

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022
miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)

f(x, y, z) = x^2+y^2+z^2

Since we have three variables,

L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)

f(4, 4, 7) = 4^2+4^2+7^2=81

f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14

Therefore:

L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of  4.02^2 + 3.99^2 + 6.97^2 is 80.66000.

3 0
3 years ago
.Solve the system of equations. Use elimination
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Step-by-step explanation:

   x + 2y = -3

- (x -    y = -12)

<u />

x + 2y = -3

<u>- x + y =  12</u>

       3y =  9

          y = 3

x - y = -12

x- 3 = -12

x= - 9

(-9, 3)

6 0
3 years ago
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Answer:

The right answer is similar-aa

Step-by-step explanation:

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