All categories

2 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!PLEASe HELP!!!!!!!!!!!!!!!!!!!!!!! Solve for x: -8 < x - 1 < 5

Mathematics

1 answer:

Crank2 years ago

7 0

Answer: -7 < x < 6

Step-by-step explanation:

Isolate x in the middle

-8 < x - 1 < 5

+1 +1 +1 add 1 to all three sides

-7 < x < 6

You might be interested in

Make up your own problem and solve it

Gennadij [26K]

Answer:

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find f(x) = 12/4x+2 find f(-1)

NeTakaya

X=-1
12/-4=-3
-3+2=-1
The correct answer is -1

3 0

2 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

PLEASE HELP!!!!! DUE TODAY!!!

Akimi4 [234]

Answer:

Step-by-step explanation:

Rental = $40

Catering = $12 per person

Budget = $100

Amount left after paying for the rental

= 100 - 40

= $60

Maximum number of guests

= 60 ÷ 12

= 5

5 0

2 years ago

18. What value of b will make the equation have no solution? 6x + 4 = 4bx – 2

MrRissso [65]

Answer: B is what 6 x +4 = to 4bx - 2 is 6x plus 4 = to 24 then 4bx - 2 is YA so b is Y

5 0

3 years ago