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daser333 [38]
2 years ago
11

A. ) 2x -6 = 4 b. ) -3 x + 2 = 8

Mathematics
2 answers:
9966 [12]2 years ago
8 0

Answer:

a) X=5

b)X=-2

Step-by-step explanation:

kirza4 [7]2 years ago
6 0
A. 2x - 6 = 4
2x - 6 + 6 = 4 + 6
Simplify, you get 2x = 10
2x = 10
2x/2 = 10/2
Simplify again, x = 5
So therefore, your answer is x = 5.



B. -3x + 2 = 8
-3x + 2-2 = 8-2
Simplify, you get -3x = 6.
-3x = 6
-3x/-3 = 6/-3
Simplify again, you get x = -2
So your answer is x = -2

I hope this helps! Have a good day or night.
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Oliga [24]
Answer:

5

Step-by-step explanation:

Step 1. Get two points off the graph

Points: (-70, 0) and (-60, 50)

Step 2. Use the two points to find the slope

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

m = 50 - 0/-60 - -70

m = 50/10

m = 5/1

m = 5

The slope is 5

3 0
2 years ago
How does the figure help verify the triangle inequality theorem?
adelina 88 [10]

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.

Read more on triangle inequalities;

brainly.com/question/22559323

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6 0
1 year ago
The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately 0.7. What is the probability
victus00 [196]

Answer: 0.2401

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.

Number of trials  : n= 4

Now, the required probability will be :

P(x=4)=^4C_4(0.7)^4(1-0.7)^{4-4}\\\\=(1)(0.7)^4(1)=0.2401

Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401

5 0
3 years ago
Aubrey’s dinner cost $85. she tips the waitstaff 30% for excellent service. how much does Aubrey tip the waitstaff
Valentin [98]

Answer:

$25.50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin
Sauron [17]

Answer:

1 day: 4480

2 days: 8960

3 days: 13440

f^{-1}(x) = \sqrt{\frac{x -4}{4}} ---- function inverse

Step-by-step explanation:

Given

f(x) = 70 \cdot 64x

Solving (a): The amount present after 1 day.

Here, x =1

So:

f(1) = 70 \cdot 64*1= 4480

Solving (b): The amount present after 2 days.

Here, x =2

So:

f(2) = 70 \cdot 64*2= 8960

Solving (c): The amount present after 3 days.

Here, x = 3

So:

f(3) = 70 \cdot 64*2= 13440

Solving (d): The inverse function of:

f(x)= 4x^2 + 4

Replace f(x) with y

y= 4x^2 + 4

Swap x and y

x= 4y^2 + 4

Rewrite as:

4y^2 = x -4

Divide by 4

y^2 = \frac{x -4}{4}

Take square roots

y = \sqrt{\frac{x -4}{4}}

Replace y with function inverse

f^{-1}(x) = \sqrt{\frac{x -4}{4}}

6 0
2 years ago
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