solve the inequality (3-z)/(z+1) ≥ 1 please show the steps and the interval notation. thank you!​

Answers

Answer 1

Answer:

The solution (- infinity , 1].

Step-by-step explanation:

[tex]\frac{3 - z}{z + 1}\geq 1\\\\3 - z \geq z +1\\\\3-1 \geq2 z\\\\2 \geq 2 z\\\\z\leq 1[/tex]

So, the solution (- infinity , 1]


Related Questions

Which type of triangle has altitudes that form outside the triangle itself?
Select one:
a. acute
b. equiangular
c. obtuse
d. right

Answers

9514 1404 393

Answer:

  c. obtuse

Step-by-step explanation:

For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.

What is the slope-intercept equation of the line below?

Answers

Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3


In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11 - 4.
True
False

Answers

Answer:

False

Step-by-step explanation:

You first need to distribute the -4 to (x+4).

Can you help with this

Answers

9514 1404 393

Answer:

  D, C

Step-by-step explanation:

The only two rational expressions that have appropriate denominators are ...

  1/(x² +6x) . . . contributes a factor of x to the denominator

  (x+2)/(x² -36) . . . contributes a factor of (x -6) to the denominator

The proper order in the expression is ...

  [tex]\displaystyle\dfrac{x+2}{x^2-36}-\dfrac{1}{x^2+6x}=\dfrac{x^2+x+6}{x(x-6)(x+6)}[/tex]

Answer:

(x+2/x^2-36) - (1/x^2+6x) = (x^2+x+6/x(x-6)(x+6))

Step-by-step explanation:

I hope that helps

hi hi hi please help ‍♀️

Answers

Answer:

Cooper read the least because

Step-by-step explanation:

1/5 is less than

Answer: Cooper read more

Step-by-step explanation:

Find m∠DFC.

A. 23
B. 167
C. 46
D. 69

Answers

Answer:

A.23

maaf kalosalah !(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!

Simplify the following expression:
(15b^5)^2
—————-
(5b^2)^3

Answers

Answer:

5x

Step-by-step explanation:

(75b x)x×2

---------------

(10b x)×3

=75b x×x×2

-----------------

10b x×3

=25x

-------

5

=5x

solve above question​

Answers

y=2−3x

2 Substitute
y
=
2

3
x
y=2−3x into
x
+
y
=
7
x+y=7.

2
x
+
2
=
7
−2x+2=7

3 Solve for
x
x in

2
x
+
2
=
7
−2x+2=7.
x
=

5
2
x=−
2
5



4 Substitute
x
=

5
2
x=−
2
5

into
y
=
2

3
x
y=2−3x.
y
=
19
2
y=
2
19



5 Therefore,
x
=

5
2
y
=
19
2



x=−
2
5


y=
2
19




Alexa has saved
2/7
of the cost of her trip to the Caribbean. Estimate how much money she
has left to save.


A.3/4 of the cost
B.1/2 of the cost

C.1 1/4 of the cost

D.1/4 of the cost

Answers

Answer:

A 3/4

Step-by-step explanation:

Set up equation to find the percentage 2/7 equals:

Variable x = percentage

2/7 = x/100

Cross multiply:

2 × 100 = 7 × x

200 = 7x

Divide:

28.57142... = x

About 30% (I rounded to 30% because it is a nice number to use when all other numbers end in 5 or 0)

If Alexa has about 30% saved, she will need to save about 70% more. Find the solution that is closest to 70%.

A is 3/4 which comes out to 75%. So far, this sounds like the best answer. Let's check the others just in case.

B is 1/2, or 50% which isn't as close as A was to 70%.

C is 1 1/4 which means 125% needs to be saved. This would mean Alexa is in debt and hasn't saved any money which is not the case.

D is 1/4, or 25%. The trick here is that she's saved about 30% so 25% is closest, but we are looking for how much more she needs to save.

if 2 shirts cost 18.80, how much would 9 shirt cost.

Answers

Answer:

84.60

Step-by-step explanation:

We can write a ratio to solve

18.80             x

---------   = --------------

2 shirts    9 shirts

Using cross products

18.80 *9 = 2x

169.2 =2x

Divide each side by 2

169.2/2 =2x/2

84.60 =x

Political Stcibility​

Answers

Answer:

Political stability is a variable of great importance in a country's evolution since, across time, it was identified as causing law level of economic growth, but also it was presented as a consequence of poor economic development.

Instructions: Determine whether the lines
passing through the pairs of points are
parallel, perpendicular or neither.
• Line a: (5,3) and (5,7)
• Line b: (2,7) and (-1,7)
Select one:
O Perpendicular
Neither
Parallel

Answers

Answer: Perpendicular

Explanation

the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0

Therefore it means that it is a horizontal line

Must click thanks and mark brainliest

Solve the following equation for x. 12^2 - 36x = 0

Answers

The answer is that X is equal to 4

write all the prime numbers between 10 and 30.​

Answers

It's 11, 13, 17, 19, 23 and 29.

how many itegers from 15 to 85, inclusive are multibles of 8

Answers

Answer:

9

Step-by-step explanation:

First multiple of 8 in that range is 8(2)=16.

The last multiple of 8 in that range is 8(10)=80.

So we just need to find how many numbers there are between 2 and 10. inclusive.

10-2+1=9

It's also not that long to write out and count.

1-2

2-3

3-4

4-5

5-6

6-7

7-8

8-9

9-10

9 numbers there are

Multiply those 9 numbers by i you will have all multiples of 8 btw 15 and 85.

8(2)=16

8(3)=24

8(4)=32

8(5)=40

8(6)=48

8(7)=56

8(8)=64

8(9)=72

8(10)=80

look at the image for the answer below?

Answers

Answer:

Does the answer help you?

Answer please I’m stuck

Answers

Answer:

196

Step-by-step explanation:

We will use the formula:

Surface Area of A / Surface area of B = (Height of A /Height of B)^2

49/S2 = (4/8)^2

49/S2 = 1/4

S2 = 196

Answred by Gauthmath

Please look below (Please Explain and NO LINKS)

Answers

Answer:

Mean = Sum of all numbers divided by the amount of numbers

[tex]Mean/Average=\frac{3+1+1.5+1.25+2.25+4+1+2}{8} =\frac{16}{8} =2[/tex]

Median = the middle number when the ordered from least to greatest.

From least to greatest: [tex]1, 1, 1.25, 1.5, 2, 2.25, 3, 4[/tex]The two middle numbers are 1.5 and 2.

If there are two middle numbers, find the mean/average of those numbers:

[tex]\frac{1.5+2}{2} =\frac{3.5}{2} =1.75[/tex]

Therefore, the answer would be:

Mean = 2Median = 1.75

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true

Answers

Answer: brother

Step-by-step explanation:

Kevin made a business trip of 312.5 miles. He averages 60 mph for the first part of the trip and 55 mph for the second part. If the trip took a 5.5 hours how long did he travel at each rate

Answers

Answer:

Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph

Step-by-step explanation:

Let's say that Kevin spends x hours going 60 mph and y hours going 55 mph. We can say that the sum of the two parts is 5.5, so x+y = 5.5 . Next, he goes 60 miles per hour for the first part of the trip, so for each hour he goes 60 mph, he travels 60 miles. We can then denote 60 * x as the distance traveled during the first part of his trip as he goes 60 mph for x hours. Similarly, 55 * y denotes the distance Kevin travels during the second part of his trip. His total distance is thus 60 * x + 55 * y = 312.5 miles

We have

x + y = 5.5

60 * x + 55 * y = 312.5

One way we can solve this is to solve for y in the first equation and plug that into the second. Subtracting x from both sides in the first equation, we get

y = 5.5 - x

Plugging that into the second equation, we get

60 * x + 55 * (5.5-x) = 312.5

60 * x + 55 * 5.5 - 55x = 312.5

5x  +302.5 = 312.5

subtract 302.5 from both sides to isolate the x and its coefficient

5x = 10

divide both sides by 5 to solve for x

x = 2

y = 5.5 - x = 5.5 - 2 = 3.5

Therefore, Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph

Do the two trapezoids in the figure appear to be similar? Why or why not?
options:

A)

They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.

B)

They're similar because two pairs of corresponding angles in the two trapezoids are congruent.

C)

They're similar because one pair of corresponding angles in the two trapezoids is congruent.

D)

They're not similar because two pairs of corresponding angles in the two trapezoids are congruent.

Answers

Answer:

Option B,

They're similar because two pairs of corresponding angles in the two trapezoids are congruent

Answer:

They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.

Step-by-step explanation:

please help with this on the picture

Answers

Answer:

There is not enough information to solve this problem :(

Find mPMA + mCMT. Please help..

Answers

PMA = 37

CMT =  101 - 54 =47

Total = 37 + 47 = 84

Answer: A. 84

Someone help me please

Answers

Answer:

y=4

Step-by-step explanation:

The triangle on the right is a 30-60-90 triangle

The ratio of sides in a 30-60-90 triangle is 1:√3:2

y:x:8

SO y will be 4 because 8/y=2/1

Find the length of the segment indicated. circles 4

Answers

I need more information, comment on my "answer".

Factorize (256⁴-1).
Use appropriate identity.

Answers

(256⁴-1)

= (256-1)⁴

Using identity (a-b)⁴ = a⁴−4a³b+6a²b²−4ab³+b⁴

Let a be 256 and b be 1

Then

256⁴−4(256)³(1)+6(256)²(1)²−4(256)(1)³+(1)⁴

After solving

(256²-1)²

(a-b)² = a²-2ab+b²

256²-2×256×1+1²

= (256²-1)(256²+1)

Must click thanks and mark brainliest

Answer:

Use identity:

a² - b² = (a + b)(a - b)

Consider that:

256 = 2⁸

Now factorize:

256⁴ - 1 = (2⁸)⁴ - 1 = 2³² - 1 = (2¹⁶ - 1)(2¹⁶ + 1) = (2⁸ - 1)(2⁸ + 1)(2¹⁶ + 1) = (2⁴ - 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2² - 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2 - 1)(2 + 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)

HELP ME PLSSS SUMMER SCHOOL A HARD

Answers

Answer:

y=2x+8

Step-by-step explanation:

Hope this helps

Ed makes $11.50 an hour. This week he worked 36 regular hours and 7 hours at time and a half?

Answers

494.5 (might be wrong-)

The sum of 'n' terms of an arithmetic sequence is 4n2+3n. What is the first term, the common difference, and the sequence?

Answers

Answer:

Step-by-step explanation:

If the 2 is an exponent, it should be indicated with a circumflex:  4n^2+3n.

What is the first term?

a₁ = S₁ = 4·1² + 3·1 = 7

:::::

What is the common difference?

a₁ + a₂ = S₂ = 4·2² + 3·2 = 22

a₂ = 22-a₁ = 15

common difference d = a₂ - a₁ = 8

:::::

What is the arithmetic sequence?

The nth term is 7+(n-1)d = 7+(n-1)8 = 8n-1.

a₁ = 8·1-1 = 7

a₂ = 8·2-1 = 15

a₃ = 8·3-1 = 23

...

Given the numbers 30 and 45, find the common factors of the two numbers.​​

Answers

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

The common factors between the two numbers are 1, 3, 5, 15.

Hope this helps!

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