1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liraira [26]
2 years ago
10

One less than x is less than -1 or 3 more than x is greater than or equal to 7.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

Answer:

x < 0 or x >= 4

Step-by-step explanation:

x - 1 < - 1

x < - 1 + 1

x < 0

x + 3 >= 7

x >= 7 - 3

x >= 4

You might be interested in
What value of x is in the solution set of 2x – 3 &gt; 11 – 5x?
pochemuha

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides:

7x - 3 +3 > 11 + 3

7x > 14

Divided 7 to both sides:

\frac{7x}{7} > \frac{14}{7}

x > 2

4 0
3 years ago
diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers &amp; the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

3 0
1 year ago
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
LuckyWell [14K]

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2  

V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0
3 years ago
The equations f(x)=-2x+3
hjlf

Answer:13

Step-by-step explanation:

4 0
3 years ago
Suppose a brand of light bulbs is normally​ distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. Find the
tatyana61 [14]

Answer:

Step-by-step explanation:

Since the life of the brand of light bulbs is normally​ distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = life of the brand of lightbulbs

u = mean life

s = standard deviation

From the information given,

u = 1300 hrs

s = 50 hrs

We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as

P(1225 ≤ x ≤ 1365)

For x = 1225,

z = (1225 - 1300)/50 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is

0.06681

For x = 1365,

z = (1365 - 1300)/50 = 1.3

Looking at the normal distribution table, the probability corresponding to the z score is

0.9032

Therefore

P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364

7 0
3 years ago
Other questions:
  • Which of the following is the graph of the equation y = 2x + 3?
    15·2 answers
  • You read 9.75
    9·2 answers
  • Please help me!!!!!!!!!
    8·2 answers
  • What is 93.65 in word form?
    8·1 answer
  • I need help again. once again due TM helppp
    6·2 answers
  • For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that
    9·1 answer
  • Who ever answers this first gets brainly
    5·1 answer
  • X^2-36<br> If someone could find me a easier way to do this I will give brainly.
    11·1 answer
  • Anybody Know This. ?
    6·2 answers
  • Is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B72%7D" id="TexFormula1" title="\sqrt{72}" alt="\sqrt{72}" align="absmiddle" class
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!