All categories

3 years ago

Given: x + 2 < -5. Choose the solution set.

Mathematics

2 answers:

stealth61 [152]3 years ago

5 0

Answer:

x< −7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

x+2-(-5)<0

Step by step solution :

STEP 1:

Solve Basic Inequality :

1.1 Subtract 7 from both sides

x < -7

Inequality Plot :

1.2 Inequality plot for

x + 7.000 < 0

OLEGan [10]3 years ago

4 0

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

You might be interested in

262 diveded by 2.5 please help

vodka [1.7K]

Answer:

The answer is 104.8

Step-by-step explanation:

Calculator

5 0

2 years ago

Answers are needed urgently..ty

SIZIF [17.4K]

Angle <QAB is =15° because the opposite angles of an isosceles triangle are equal.

The length of the straight line AB = 80cm

<h3>Calculation of angle of a triangle</h3>

The angle at a point = 360°

Angle AQB= 360 - 210° = 150

But the angle that makes up a triangle= 180°

180-150= 30°

But <QAB = <QBA because triangle AQB is an isosceles triangle.

30/2 = 15°

To calculate the length of the straight line the following is carried out using the sine laws.

a/ sina, = b sinb

a= 8cm, sin a { sin 15)

b= ? , sin B = 150

make b the subject formula;

8/sin15= b/sin 150

b= 8 × sin 150/sin 15

b= 80cm

Learn more about isosceles triangle here:

brainly.com/question/25812711

#SPJ1

7 0

2 years ago

Find the volume 12 poir 2.2 cm

Tanzania [10]

Answer: 26.4
To find the volume u multiply 12x2.2=26.4

6 0

3 years ago

Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r

koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

A new virus with a decay rate of 19% per hour

They start with 300 viruses

Step:1

Formula to calculate the viruses at decay rate,

$y = A(1-r)^{t}$ ............................(1)

Where, y - No of viruses after given time

A - Viruses at initial stage

r - Decay rate

t - No. of hours

From the given,

A = 300

r = 19% per hour

t = 7 hours

Equation (1) becomes,

$y = 300(1-0.19)^{7}$

$= 300(0.81)^{7}$

$= 300(0.228767)$

$= 68.63$

Viruses of 7 hours ≅ 69 viruses

( or )

Step:1

For 1st hour,

= (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

= (300)-(300 × 0.19)

= 300 - 57

= 243

For 2nd hour,

= (243)-(243 × 0.19)

= 243 - 46.17

= 196.83

For 3rd hour,

= (196.83)-(196.83 × 0.19)

= 196.83 - 37.39

= 159.4323

For 4th hour,

= (159.4323)-(159.4323 × 0.19)

= 159.4323 - 30.2921

= 129.1402

For 5th hour,

= (129.1402)-(129.1402 × 0.19)

= 129.1402 - 24.5366

= 104.6035

For 6th hour,

= ( 104.6035)-( 104.6035 × 0.19)

= 104.6035 - 19.8747

= 84.7288

For 7th hour,

= (84.7288)-(84.7288 × 0.19)

= 84.7288 - 16.0984

= 68.63 viruses

Result:

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0

3 years ago

One speed skater starts across a frozen lake at an average speed of 8 m/s. Ten seconds later, a second speed skater starts from

Galina-37 [17]

Answer: Hello mate!

Let's define the variable t as the time, and define t = 0 as the moment when the first skater starts to move:

We know that the speed of the first skater is 8 m/s, and we need to find the position as a function of time, then we need to integrate the velocity over time

if v1(t) = 8m/s

then p1(t) = (8m/s)*t

now we also know that the second skater has a velocity of 9m/s and enters in the frozen lake at t= 10s.

then the velocity of the second skater is: v2(t) = 9m/s, and the position is:

p2(t) = (9m/s)*(t - 10s)

now we want to know how many seconds after the second skater starts are needed for the second skater to overtake the first one.

this is equivalent to see when his positions will be equal.

so p1(t) = p2(t):

(8m/s)*t = (9m/s)(t - 10s) = (9m/s)*t - 90m

(8m/s)*t - (9m/s)*t = -90m

(-1m/s)*t = 90m

t = 90m/(1m/s) = 90s

Then in t = 90 seconds, the second skater will overtake the first one, and knowing that the second skater started at t = 10 seconds; there are 80 seconds after the second skater started needed to overtake the first skater.

7 0

3 years ago