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
PIT_PIT [208]
2 years ago
11

Solve the following inequality.

Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

Answer:

-6 < x < -3

Step-by-step explanation:

21 < -3( x – 4) < 30

Divide all sides by -3, remembering to flip the inequalities

21/-3  > -3/-3( x – 4) > 30/-3

-7 > x-4 > -10

Add 4 to all sides

-7+4 > x-4+4 > -10+4

-3 > x > -6

Rewrite

-6 < x < -3

You might be interested in
3. Which expression is equivalent to log532?
saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0
2 years ago
What is the product of the two factors?<br> (X 4/3) (X 2/3)
SpyIntel [72]

Answer:

\frac{8}{9}{x}^{2}

Step-by-step explanation:

All you do is multiply straight across [both denominator and numerator] to arrive at your answer. Then, multiplying two <em>x</em>'s together gives you {x}^{2}. So, with all that being said, you have your answer.

I am joyous to assist you anytime.

5 0
3 years ago
Read 2 more answers
Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f
gavmur [86]

Answer:

R¹(-7, -3) ,  S¹(-2, -1),  T¹(-5, 4)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then  transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

<u><em>Step(ii):-</em></u>

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3)   →   S¹(1-3, -3) →  S¹(-2, -3)

T¹(-2,2)  →   T¹(-2-3, 2)→ T¹(-5, 2)

<u><em>Step(iii):-</em></u>

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x  ,y+2)

R¹(-7, -5+2) →  R¹(-7, -3)

 S¹(-2, -3+2) →  S¹(-2, -1)

 T¹(-5, 2+2)  →  T¹(-5, 4)

4 0
3 years ago
If you rotated the shape around the line, which three-dimensional figure would be formed?
Fiesta28 [93]

Answer:

c cylinder

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write the sentence as an equation z and 40 more is the same as 344
KengaRu [80]
Your answer z+40=344
3 0
2 years ago
Other questions:
  • 25 POINTS!!!!!!!!!!<br> Evaluate log7 343.<br><br> A. 49<br> B. 3<br> C. −3<br> D. −49
    5·2 answers
  • Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 wi
    14·2 answers
  • Consider the function f(x)=x^2-5. If g(x)=f(x-7), what can be said about g(x)? check all that apply
    11·1 answer
  • Jayden rotates a trapezoid around its vertical axis of symmetry to make a solid figure. What is the shape of a vertical cross se
    5·1 answer
  • Use the point slope equation to identify the slope and the coordinates of a point
    5·2 answers
  • Use the dot plot to answer the question.
    8·1 answer
  • Write and solve a word problem that involves dividing by 4
    13·1 answer
  • Which inequality is true for x = 20?
    7·2 answers
  • Which of the expressions can you use to find the number of 3-digit passwords you can make using the digits 5, 6, and 7, if you d
    8·1 answer
  • Need help ASAP!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!