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2 years ago

Find the difference or type "impossible"

Mathematics

1 answer:

Goshia [24]2 years ago

7 0

The missing value highlighted green = -14.

Subtract each term in the right matrix from the corresponding term in the left matrix. For this question it’s (-7) - 7 = -14, which is the value in the bottom matrix. Here’s my work:

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Solve -3(x-2) <8 or -3(x-2)>12

dsp73

The solution is: x >-2/3 or x< -2

Step-by-step explanation:

we will solve the inequalities one by one

So,

First inequality is:

$-3(x-2)$

Second inequality is:

$-3(x-2)>12\\-3x+6>12\\-3x+6-6>12-6\\-3x>6\\\frac{-3x}{3} >\frac{6}{3}\\-x> 2\\x$

The solution is: x >-2/3 or x< -2

Keywords: Inequalities, compound inequalities

Learn more about inequalities at:

#LearnwithBrainly

5 0

3 years ago

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6 is -8

3 0

3 years ago

Read 2 more answers

If a number is an element of the set of real

kvasek [131]

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

3 0

3 years ago

What is the value of the angle marked with I? 3.2 87° 3.2) 3.2 C 3.2

Nat2105 [25]

The value is 87 degrees since it is on the opposite side of the rhombus

8 0

4 years ago

If two consecutive terms of a geometric sequence are 18 and 9 in that order what is the common ratio of the sequence ?

Finger [1]

1/2

Assuming it continues at this exact rate, and the formula for the sequence isn’t something completely crazy, it decreases by 2 or increase by a factor of 1/2 (which still decreases)

3 0

3 years ago