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4 years ago

Evaluate the expression - |7-9|

Mathematics

1 answer:

timama [110]4 years ago

5 0

Answer: -2

Step-by-step explanation: As our first step, we simplify inside the absolute value. 7 - 9 is -2 so we have -|-2|.

A common mistake at this point in the problem is to change the minus a negative to plus a positive but don't fall into this trap.

We must ignore the negative outside the absolute value until our very last step in this problem.

So we take the absolute value of -2 which is 2 and we have -(2) or -2.

Notice that I used parentheses around the 2 as it comes out of the absolute value.

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A house is on a 60,000-squarefoot lot. rounded to the nearest tenth, approximately how many acres are in the lot? note: there ar

bagirrra123 [75]

The computation shows that the acres that are in the lot will be 1.38 acres.

<h3>How to compute the value?</h3>

It should be noted that the information is that the house is on a 60,000-squarefoot and the there are 43,560 square feet in an acre.

Therefore, the acres in the lot will be:

= 60000/43560

= 1.38 acres

Therefore, the computation shows that the acres that are in the lot will be 1.38 acres.

Learn more about computations on:

brainly.com/question/4658834

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8 0

1 year ago

What is the solution to the equation 1/24 x = 1/6? x = 144, x = 30, x = 18, x = 4

alukav5142 [94]

Answer:

x = 4

Step-by-step explanation:

I'd suggest you write (1/24)x = 1/6 to avoid any ambiguity about the coefficient of x.

Multiplying both sides by 24 (the LCD) will eliminate the fractions:

24(1/24)x = 24/6, or x = 4.

5 0

4 years ago

Number closest to 87 square root?

Serga [27]

9 i’m pretty sure bc if u do the square root of 87 and round it to the nearest whole number u get 9

6 0

3 years ago

6m-2(7+3m)>5(2m-3)-m

Tpy6a [65]

Answer:

Therefore the value is

$m$

Step-by-step explanation:

Given:

$6m-2(7+3m)>5(2m-3)-m$ ....Given

Step 1. Applying Distributive Property A(B+C)=AB+AC we get

$6m-2\times7-2\times 3m>5\times 2m-5\times 3-m$

$6m-14-6m>10m-15-m\\-14>9m-15$

Step 2. Add 15 both the side

$-14+15>9m-15+15\\1>9m$

Step 3. Dividing both the side by 9

$\dfrac{1}{9}>\dfrac{9m}{9}\\\\\dfrac{1}{9}>m$

Therefore the value is

$m$

4 0

4 years ago

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

3 years ago