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3 years ago

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.

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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

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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

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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

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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 find $g_ {o} f (0$ ):

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:

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

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4 years ago