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2 years ago

Hello, i need help with this question please! solve x/2 +3 > 4

Mathematics

2 answers:

kirill [66]2 years ago

7 0

Answer:

x > 2

Step-by-step explanation:

A linear inequality is given to us and we need to find the interval of x. The given inequality is

⇒ x/2 + 3 > 4

Subtract 3 to both sides,

⇒ x/2 + 3 - 3 > 4 -3

⇒ x/2 > 1

Multiply both sides by 2 ,

⇒ x > 2

Hence x can have all values more than 2 .

jeka57 [31]2 years ago

3 0

Answer:

x >2

Step-by-step explanation:

x/2 +3 > 4

Subtract 3 from each side

x/2 +3-3 > 4-3

x/2 >1

Multiply each side by 2

x/2*2 >1*2

x >2

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Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16

IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form $a_n=a_1+(n-1)d$ , where,

$a_n$ = nth term of sequence,

$a_1$ = 1st term of sequence,

n = Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

$\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}$

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

$1$

Let us solve for n.

$1$

$1\cdot \frac{16}{3}$

$5.333$

$n>5.333$

We can also write next terms of our sequence as:

$\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}$

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0

3 years ago

Please help and thank you!

Stolb23 [73]

The conversion is

$x = r \cos \theta$

$y = r \sin \theta$

$\dfrac y x = \tan \theta$

We're given the fairly unusual

$\theta = -\frac 5 2$

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

$\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747$

Ah, there's our .75. The approximate answer is

$y = 0.75 x$

Third choice.

The exact answer is

$y = x \tan( -\frac 5 2)$

also a line through the origin.

3 0

3 years ago

Question 1 is points) If point A is (3.1). What is it's new position after x --> {X-3. y - 1). 0 (0.0) (62) (2-2) 01-3-1)

lutik1710 [3]

Answer:

(0,0), or A

Step-by-step explanation:

Given the function { x - 3, y - 1 }:

$(3 -3, 1-1)=(0,0)$

7 0

3 years ago

What's 412 divided by 84

atroni [7]

412/84 = 4 R 76 <- you will have a remainder

8 0

3 years ago

Read 2 more answers

A family buys a car for $20,000. The value of the car decreases about 20% per year. After 6 years, the family decides to sell th

Ugo [173]

Answer:

Step-by-step explanation:

The car starts at 20 000

After 1 year, it's worth 18 000

After 2 years, it's worth 14 400

After 3 years, it's worth 11 600

After 4 years, it's worth 9 280

After 5 years, it's worth 7 424

After 6 years, it's worth 5 975.20

No, the family should not sell the car for 4000

3 0

2 years ago