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Svetach [21]
2 years ago
7

The sum of four times a number and two is twenty-six. Find the number.

Mathematics
2 answers:
Rama09 [41]2 years ago
8 0

Answer:

Equation: 4x + 2 = 26

x = 6

Step-by-step explanation:

1. Subtract 2 on both sides...4x + 2 -2 = 26 -2

Now you have 4x = 24

Divide both sides by 4

Now you have 4x/4 = 24/4

the 4's cancel out, leaving you with x = 24/4

24/4 = 6

<h2>x = 6</h2>
Yakvenalex [24]2 years ago
6 0

Answer:

n = 6

Step-by-step explanation:

4n + 2 = 26,

4n = 24,

n = 6

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Find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4
Svetach [21]

Answer:

The slope intercept form of both given equations is : y =  - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 )    ⇒ y + 8 = - 3 x  + 3

or, y = -3x + 3 - 7 = -3x - 4

 ⇒ y =  -3x  -4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Consider equation (2):

3 x + y = - 4    ⇒ y  = -4  - 3 x

 ⇒ y =  -3 x  - 4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

6 0
2 years ago
Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
katen-ka-za [31]

Answer: B

Step-by-step explanation:

6 0
2 years ago
Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
2 years ago
On a 6-sided number cube, which is more likely: rolling an odd number or rolling an even number?
kumpel [21]

Answer:

B

Step-by-step explanation:

Even numbers = 2,4,6

Odd numbers = 1,3,5

Same amount of numbers

7 0
3 years ago
Read 2 more answers
Assume X and Y are independent random variables with the following distributions:
allsm [11]

Answer:

Step-by-step explanation:

Given that X and Y are independent random variables with the following distributions:

x -1 10 1 2 Total

p 0.3 0.1 0.5 0.1 1

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Mean of X = 1.4

Var(x) = 11.2-1.4^2 =  9.24    

     

y 2 3 5  

p 0.6 0.3 0.1  1

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y^2p 2.4 2.7 2.5 0 7.6

Mean of Y = 2.6

Var(Y) = 11.2-1.4^2 =  0.84

3) W=3+2x

Mean of w =3+2*Mean of x = 7.2

Var (w) = 0+2^2 Var(x)= 36.96

8 0
3 years ago
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