All categories

3 years ago

Pls helpASAP!!! 3x+ 12 = 2(8+ 4x)

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

$3x+12=2(8+4x)$ distribute

$3x+12=16+8x\\$ collect like-terms

$3x-8x=16-12\\-5x=4\\x=-\frac{4}{5}=-0.8$

Tems11 [23]3 years ago

4 0

Answer:

x = - 4/5

Step-by-step explanation:

3x + 12 = 2(8 + 4x)

3x + 12 = 16 + 8x

12 - 16 = 8x - 3x

- 4 = 5x

x = - 4/5

You might be interested in

Phil and Matt made cookies for a fundraiser at their high school.

wlad13 [49]

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit. $^{}$ ly/3a8Nt8n

3 0

2 years ago

Read 2 more answers

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

There are 4 white marbles and 6 blue marbles in a bag. Jamie will randomly pick two marbles out of the bad without replacing the

zepelin [54]

Step-by-step explanation:

Total marbles = 10

No of white marbles = 4

No of blue marbles = 6

Probability of 2 white marbles = 4/ 10 = 2/5

8 0

3 years ago

Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the

Kitty [74]

Answer:

a) 0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip resistance, T, such that 36% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

- We will search for the z value with the condition above from Z-table.

P ( Z > (T - 2.7)/0.8) = 0.36, Z = 0.358375

- Hence, we calculate for T:

T = 0.358375*0.8 + 2.7

T = 2.9867

5 0

3 years ago

Consider the function shown.

Vanyuwa [196]

Answer:

Decreasing from x = 1 to x = 6.

Step-by-step explanation:

4 0

3 years ago