Evaluate the following using a=-9, b=-4

4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25

Butoxors [25]

Answer:

x = -1/2 = -0.5

Step-by-step explanation:

4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25

⇔ (4 1/2 - 1/2)x + 9 = (5 1/2 + 5 1/4) - 3 3/4

⇔ 4x + 9 = 10 3/4 - 3 3/4

⇔ 4x + 9 = 10 - 3

⇔ 4x + 9 = 7

⇔ 4x = 7 - 9

⇔ 4x = -2

⇔ x = -2/4

⇔ x = -1/2

⇔ x = -0.5

6 0

2 years ago

The last 5 transactions at Mr. Brigham's ATM were $250, -$60, -$94, $300, and -$186. Find the mean transactions amount.

Shalnov [3]

To find the mean transaction amount. We need to understand mean first.

Mean (or average) is a number that expresses the central value in a set of data, which is calculated by dividing the sum of the values in the set by their number of values.

Here, the transactions shown are

$250, -$60, -$94, $300, and -$186. So there are 5 transactions.

Now mean transaction amount is given by:

$\frac{250+(-60)+(-94)+(300)+(-186)}{5} =\frac{250-60-94+300-186}{5}= \frac{210}{5} =42$

So, the mean transaction amount over 5 transactions is $42.00.

8 0

3 years ago

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Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

$S_1=\dfrac{-2-0}{0-1}$

$S_1 = \dfrac{-2}{-1}$

$S_1=2$

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

$S_2 = \dfrac{2-0}{1-(-1)}$

$S_2 = \dfrac{2}{1+1}$

$S_2 = \dfrac{2}{2}$

$S_2 =1$

Now, $S_1>S_2$

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0

3 years ago

Your grandfather has enjoyed good vision for most of his 80 years. You observe him having trouble reading websites on his new iP

Nesterboy [21]

Answer:

Step-by-step explanation:

Given that:

The focal point = 18 inches

= (18 × 0.0254)m

= 0.4572 m

= 45.7 cm

For such a comfortable distance of 45.7 cm, the perfect lens power for grandfather can be determined.

Let's recall that, the accommodation amplitude usually decreases with age and eventually becomes 1 D after the age of 50.

Thus, +2.5D or a convex lens appears to be a perfect one.

b. We will agree that Diopter illustrates the optical power or most at times the capability of the lens.

So, 3D is equally 1.75X magnification which is likely to be double the zoom as it will be helpful to the grandfather.

Now, for a 2.5D, approximately 1.5X zooming once(200%) will be perfect and equal to viewing with the reading glasses.

7 0

3 years ago

I really need help with number 1

KonstantinChe [14]

Answer:

5.6

Step-by-step explanation:

4 0

3 years ago

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