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2 years ago

Solve the inequality 7 ≥ b + -2 A. B ≤ 9 B. B ≤ 5 C. B ≥ 9 D. B ≥ 5

Mathematics

2 answers:

Kipish [7]2 years ago

8 0

The answer is A, or 9

Elodia [21]2 years ago

5 0

Answer:

Step-by-step explanation:

. $7 \geq b + (-2) \\7+2 \geq b\\\\9 \geq b\\\\b\leq 9$

choice a

isolate b ( leave b by itself)

to do that, add 2 to the 7.

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Complete each statement from the information given and state the reasons and the triangle criterion you used.

TiliK225 [7]

Answer:

Triangle GAS = Triangle IOL by rule AAS

Step-by-step explanation:

The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.

A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.

5 0

3 years ago

A line passes through the points (8, 10) and (9, 10). What is its equation in slope-intercept form?

mash [69]

I’m pretty sure that in slope intercept form it will be y-10=(0/1)(x-8)

4 0

2 years ago

Please put details! I need it!

Kay [80]

Answer:

a. the points will be in quadrants q and s

b. the difference between the coordinates of the starting point and the checkpoint is that the starting point is negative on the 5 axis while the checkpoint is positive. the number on the y axis for the staring point and the checkpoint is the same.

3 0

3 years ago

Zeus Industries bought a computer for $2280. It is expected to depreciate at a rate of 30% per year. What will the value of the

Alekssandra [29.7K]

This is an exponential growth/decay problem. It has a formula, and it doesn't matter which you have...the formula is the same for both, except for the fact that you're rate is decreasing instead of increasing so you will use a negative rate. The formula is this: A = Pe^rt, where A is the ending amount, P is the beginning amount, e is euler's number, r is the rate at which something is growing or dying, and t is the time in years. Our particular formula will look like this: A = 2280e^(-.30*3), Notice we have a negative number in for the rate (and of course it's expressed as a decimal!). First simplify the exponents: -.30*3 = -.9. On your calculator you have a 2nd button and a LN button. When you hit 2nd-->LN you have "e^( " on your display. Enter in -.9 and hit enter. That should give you a display of .4065695. Now multiply that by 2280 to get 926.98, the value of the computer after it depreciates for 3 years at a rate of 30% per year.

8 0

2 years ago