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
Taya2010 [7]
3 years ago
9

Solve and write solution in interval notation 4(x+1)+3>x-5

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}

Step-by-step explanation:

4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)

You might be interested in
-1 ≥ -8; Multiply both sides by -2
alexandr402 [8]
2\leq16
8 0
4 years ago
The length of a rectangle is 11 inches greater than twice the width. of the diagonal is 2 inches more than the length, find the
Triss [41]
Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
3 0
3 years ago
Which of these triangle pairs can be mapped to each other using two reflections? Triangles X Y Z and P Y T are connected at poin
Irina18 [472]

Answer:

The correct option is the first option;

Triangle XYZ and PYT are connected at point Y. Triangle XYZ is reflected across XY and then is reflected another time across YZ to form triangle PYT

Step-by-step explanation:

To answer the question we look at each option as follows;

1) The parameters given are triangle XYZ and PYT are connected at point Y

Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'

Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P

Therefore, triangle XYZ can be mapped to triangle PYT with two reflections

2)  In the second option, we have triangle XYZ is reflected 3 times which is more than 2 times as in the question, therefore, option two is less suited as an answer to the question

3) Triangle XYZ is reflected across side XY and then is shifted down to form triangle AYT

Therefore, since we have only one reflection, option 3 is also not appropriate as an answer

4) In option 4 triangle XYZ is reflected and then rotated therefore option 4 is also not a correct option.

6 0
3 years ago
Read 2 more answers
7x - 32+9x-8+5x - 27=180 <br> what’s x?
Nadya [2.5K]

Answer:

Fraction: x = 247/21

Decimal: 11.76

Mixed Number: 11 16/21

Step-by-step explanation:

Brainliest Please!!

4 0
3 years ago
The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17. What is the interquartile range o
alukav5142 [94]
11 because you you do the biggest number subtracted by the smallest number
5 0
4 years ago
Read 2 more answers
Other questions:
  • Geometry math question
    5·2 answers
  • The perimeter of a triangle is 84m. the longest side of the triangle is 7m less than twice the length of the shortest side, x. t
    6·1 answer
  • Valentino wants to estimate the product (5.2)(9.9). Which expression shows each factor rounded to the nearest whole
    7·1 answer
  • if one bucket + 5 jars equal one tub and three buckets plus two jars equal to tubs how many jars are there equal to one tub​
    9·2 answers
  • Simplify:
    10·1 answer
  • Help with these 2 pls!
    8·1 answer
  • The height H in feet of a ball suspended from a spring as a function of time T in seconds can be modeled by the equation h=3sin
    7·2 answers
  • What is the altitude of the equilateral triangle?
    14·1 answer
  • Pleas answer as soon as you can!!
    7·1 answer
  • helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!