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
Oksanka [162]
3 years ago
8

Which number line is the solution to 5x - 3 _> 17

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
6 0
Answer: Option B x ≥ 4

Step 1: move constant to the right-hand side and change it sign

5x ≥17+3

Step 2: add the numbers

5x ≥20

Step 3: divide both sides of the inequality by 5 and you get:
X ≥ 4

Remember when it’s greater than or lesser than, the dot will be shaded.
denis-greek [22]3 years ago
3 0

Answer:

x ≥ 4

Step-by-step explanation:

First we need to solve the inequality:

5x - 3 ≥ 17

5x ≥ 20

x ≥ 4

I'm assuming its the last answer that's not shown in the pic because the others are incorrect. You are looking for a line that starts on 4 with a shaded circle that is going right.

You might be interested in
Solve for x in the equation x squared + 2 x + 1 = 17.
Whitepunk [10]

Answer:

x = negative 1 plus-or-minus StartRoot 17 EndRoot

Step-by-step explanation:

Given:

x^2+2x+1=17

We need to solve for x.

x^2+2x+1=17 \ \ \ \ equation\ 1

First we will solve L.H.S

Factorizing the equation we get;

x^2+2x+1\\=x^2+x+x+1\\=x(x+1)+1(x+1)\\=(x+1)(x+1)\\=(x+1)^2

Now Things which are equal to the same thing are also equal to one another. Since

x^2+2x+1=17

x^2+2x+1=(x+1)^2

then, according to the law of transitivity,

(x+1)^2=17

Now, applying the Square Root Principle we get:

\sqrt{(x+1)^2} =\sqrt{17}

Now Square root and square gets cancelled.

x+1=\sqrt{17} \\x=-1+\sqrt{17}

Since a square root has two values, one positive and the other negative.

x=-1\±\sqrt{17}

Hence  Final Answer is x=-1\±\sqrt{17}.

5 0
4 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME WITH THIS ITS DUE TONIGHT
kramer

Answer:

The scale factor is 3 and the translation is (-8,2)

Step-by-step explanation:

(I'm not very good at translation/dilation but since you asked, I'm pretty sure this is the answer!)

6 0
3 years ago
There is 3/4 of a pizza leftover from the night before. How many 1/8 portions are there?
Andrew [12]
There would be 6 slices left
7 0
3 years ago
Read 2 more answers
What’s the value of X?
Andrej [43]

Answer:

x = 10

Step-by-step explanation:

Adjacent angles add to 180 degrees, so set the angles equal to 180

(7x + 12) + (9x + 8) = 180

- 12 - 12

7x + (9x + 8) = 168

- 8 - 8

7x + 9x = 160

16x = 160

/16 /16

x = 10

3 0
3 years ago
Read 2 more answers
Can anyone answer me this question ​
yuradex [85]

Question 1:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must findg_ {o} f (0):

By definition we have to:

g_ {o} f = g (f (x))\\f_ {o} g = f (g (x))

g (f (x)) = (4x + 1) ^ 3 + 1

We substitute x = 0:

g (f (0)) = (4 (0) +1) ^ 3 + 1 = 1 ^ 3 + 1 = 2

So, we have that g (f (0)) = 2

Answer:

g (f (0)) = 2

Question 2:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must find f_ {o} g (0):

By definition we have to:

f_ {o} g = f (g (x))\\f (g (x)) = 4 (x ^ 3 + 1) + 1 = 4x ^ 3 + 4 + 1 = 4x ^ 3 + 5

We substitute x = 0:

f (g (0)) = 4 (0) ^ 3 + 5 = 5

Answer:

f (g (0)) = 5

Question 3:

For this case we must find the inverse of the following function:

h (x) = \frac {2x + 1} {3}

To do this, we follow the steps below:

We change y for h (x):

y = \frac {2x + 1} {3}

We exchange variables:

x = \frac {2y + 1} {3}

We clear the value of the variable "y":

3x = 2y + 1\\3x-1 = 2y\\y = \frac {3x} {2} - \frac {1} {2}

We change y for h^{ -1} (x):

h ^{ - 1} (x) = \frac {3x} {2} - \frac {1} {2}

Answer:

h ^ {- 1} (x) = \frac {3x} {2} - \frac {1} {2}

3 0
4 years ago
Other questions:
  • Rational Expression<br> Simplify: x/x+2
    15·1 answer
  • Help please my teacher isn't the greatest.
    6·2 answers
  • Which of the following correctly defines a sample statistic?
    6·2 answers
  • Please help     Fill in the missing reasons in the proof
    12·2 answers
  • Is (-1,0),(2,1),(0,6),(-5,-3),(-1,8) a function (how is it a function?)
    7·1 answer
  • Which equation represents this sentence? 10 points! Twenty-eight is the product of four and a number. 28=4n 28=4+n 28=4n 28=4n
    7·1 answer
  • Multiples of 4 starting from 40
    15·1 answer
  • Find the mean:<br> 8, 10, 10, 10, 6, 7, 8
    13·1 answer
  • Please help am stuck on this
    13·2 answers
  • Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!