Could x = - 5 be a solution to the inequality
-6 < 3x + 9 < 21?

Answers

Answer 1

Step-by-step explanation:

[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]

3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.

However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.


Related Questions

According to the graph on your graphing tool, what is true about f(x)= x^4-4x^2+x/-2x^4+18x^2

Answers

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

Chose all of the terms that describe the set of lines.
Intersecting lines
. Parallel lines
Transversal
Perpendicular lines

Answers

Intersecting lines. They intersect, so they are not parallel. Because there isn’t a line intersecting a set of parallel lines, it’s not a transversal. And because the intersecting lines don’t create right angles, they are not perpendicular.

In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7

Answers

Answer:

Step 3 because they didn't add correctly

What is the range of the function graphed below?

A. Y>-1
B X< -1
C X>-1
D Y< -1

LOOK AT THE GRAPH.

Answers

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2

Answers

Answer:

B I'm pretty sure..............

Which angles are adjacent to each other?

Answers

Answer:

1st option maybe?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.

If f(x)=x^2-1 Find f(-3) f(0) f(2) f(a) and f(a+1) first to answer gets brainliest

Answers

here you go, hope this is helpful!

Which function is decreasing on the same interval as the function graphed here?

Answers

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

What does it mean for a function to be decreasing?

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

What is the Proof of the above?

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

Learn more about decreasing functions at;
https://brainly.com/question/13157110
#SPJ1

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points​

Answers

Answer:

45

Step-by-step explanation:

I just took test and got 100%

Pls help mark barinlist

Answers

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

Brainliest for correct answer.

Answers

Answer:

a

Step-by-step explanation:

Find the measure of A as indicates in the picture.

In case the picture blurs

Top angle = x + 63

Left angle = x + 96

Right angle = x + 149

Answers

Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50

Answers

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Volume of cylinder

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Find out more information about cylinder here:

https://brainly.com/question/3692256?referrer=searchResults

50 POINTS!!!
A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?

1,367
2,400
2,538
3,108

PUT SOLUTION AND STEPS PLS

Answers

To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.

Answer:

third one 2538

Step-by-step explanation:

it is the closest because 25% of 10,000 is 2500, the closest number to 2500 is 2538

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =

Answers

Answer:      5x2-2x-7

Step-by-step explanation:

(4x2 + 3x - 1) + (x2 - 5x - 6)

=4x2+3x-1+x2-5x-6

=5x2-2x-7

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Answers

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

Writing Activity: Analysis.

Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas

Answers

Answer:

12345678910111213141516171819202122232425262728293031323334353637383940142434445446

Step-by-step explanation:

my name jeff

My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?

Answers

I recommend you take her to a vet

Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?

Answers

Answer:

24 gallons

Step-by-step explanation:

set up a proportion and cross-multiply:

g = # gallons

192/4 = g/0.5*

4g = 96

g = 24

*30 minutes = 0.5 hours

If 25% is 14, what is 100%?

Answers

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

HELP PLEASE!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

PLS PLS PLS ANSWER IT QUICKKKK

Answers

Answer:

A

Step-by-step explanation:

If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)

Answers

Answer:

[tex]f(3) = -16[/tex]

Step-by-step explanation:

Given

[tex]f(x)= - 4x-4[/tex]

[tex]g(x)= 4x^2 + 4x + 2[/tex]

[tex]h(x)= 3x^2 - 3[/tex]

Required

[tex]f(3)[/tex]

We have:

[tex]f(x)= - 4x-4[/tex]

Substitute [tex]x = 3[/tex]

[tex]f(3) = -4 * 3 - 4[/tex]

[tex]f(3) = -12 - 4[/tex]

[tex]f(3) = -16[/tex]

Hence:

[tex]f(3) = -16[/tex]

How many lines of symmetry does the figure below have?

Answers

C

Step-by-step explanation:

I got 4 lines of symmetry going horizontal and vertical, and two diagonal

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B

Answers

Answer:

10 degrees

Step-by-step explanation:

if it's supplementary then the two angles add up to get 180.

180-170=10

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

Answers

It’s a virus don’t look at file

A: (–4, 2)

RIP guy above

help help please i did not understand

Answers

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

291 divided 6 = what ? R ?

Answers

Answer:  48 R3

Step-by-step explanation:

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