All categories

2 years ago

What happens to the graph of y=|x| when the equation changes to y=|x+3| - 1

Mathematics

2 answers:

torisob [31]2 years ago

8 0

The entire line will go three to the left and one down.

Lemur [1.5K]2 years ago

7 0

Answer:

Step-by-step explanation:the graph shifts three (+3) units to the left and goes one (-1) unit down.

You might be interested in

Help me pls..........

Paraphin [41]

Answer:

1000x or 1000 thousand times greater

Step-by-step explanation:

every decimal to the left is 10x greater than the one right of it.

4 0

2 years ago

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

What is the slope in the equation y equals 8x - 10

ikadub [295]

Answer:

Step-by-step explanation:

the formula is

y=mx+b

in this case the, m is 8, and the b is -10.

6 0

2 years ago

claim: the mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. for a random sample of 140 adult males,

zaharov [31]

Answer:

93.19%

Step-by-step explanation:

We have that the mean (m) is equal to 70.4, the standard deviation (sd) 11.1 and the sample size (n) = 140

They ask us for P (x =69)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (69 - 70.4) / (11.1 / (140 ^ (1/2)))

z = 1.49

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.49) = 0.9319

The probability is 93.19%

8 0

2 years ago

Which fraction equals a repeating decimal? <br> a.5/80 <br> b.11/88 <br> c.17/85 <br> d. 18/81

Marrrta [24]

18/81 is 0.2 recurring

3 0

3 years ago