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AveGali [126]
2 years ago
12

Which is the graph of y = [x] - 2?

Mathematics
2 answers:
Feliz [49]2 years ago
6 0
<h3>Answer: Top row, third option (far right)</h3>

Explanation:

The notation \lfloor x \rfloor means "floor of x". Whatever decimal value x is, we just ignore the decimal portion and just focus on the integer part. We round down to the nearest whole number. We always round down.

For something like x = 2.5 or x = 2.7, the value of \lfloor x \rfloor will be 2. It doesn't matter that 2.7 is closer to 3 than it is to 2. The interval 2 \le x < 3 will be entirely on the x axis since we are taking the result of the flooring operation and subtracting off 2. Notice how x = 3 is not included. This is because x = 3 leads to y = 1 instead of y = 0. So we have an open hole at the end of the interval. The same goes for any other piece as well.

Dmitrij [34]2 years ago
4 0

Answer:

The <u><em>Third option [ far right]</em></u>

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Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
erastova [34]

Answer:

x + 2x + 34 + 20 = 180

3 0
3 years ago
The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used
ella [17]
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
5 0
3 years ago
Hi! I need help on #12 A, and B! Just kinda confused so if u could explain in a simple way that’d be great!
Vinvika [58]

Assume that the bank balance started at zero. Enter the income and outgo in chronological order: $300 - $50 - $75 + $225

Find the sum. This sum will represent the amount left in the account after the $225 deposit:

$250 - $75 + $225, or

$175 + $225 = $400 The final balance will be $400.

5 0
3 years ago
Read 2 more answers
A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w
slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

A(t)= A_0(1+\frac{r}{n})^{nt}

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

55000=40000(1+\frac{0.04}{4})^{4t}

divide both sides by 40000

1375=(1+\frac{0.04}{4})^{4t}

1375=(1.01)^{4t}

Take ln on both sides

ln(1375)=4tln(1.01)

divide both sides by ln(1.01)

\frac{ln 1375}{ln 1.01}=4t

Divide both sides by 4

t=8.00108

So it takes 8 years

8 0
3 years ago
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