Graph the solution to this inequality on the number line.
-3x<4.2

-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3

Answers

Answer 1

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

Graph The Solution To This Inequality On The Number Line.-3x&lt;4.2-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 11.5
Answer 2

The solution to the given set of inequality is -

x > - 1.4.

What is the general equation of a Straight line? What is a linear inequality?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

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Related Questions

The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard

Answers

Answer:

$49

Step-by-step explanation:

70 x 30%

70 x 0.3

21

70 - 21

49

I would appreciate if some would help me w 13 ^^ ty

Answers

I think the answer is 8 I’m not sure tbh

Which equation has a unite rate of 0.5

Answers

Answer:

r=0.5d

Step-by-step explanation:

please help, thank you!

Answers

Answer:

x = 6

Step-by-step explanation:

45°+45°+m∆2 = 180°

m∆2 = 90°

; m∆2 = 16x-6

90 = 16x-6

96 = 16x

96/16 = x

6 = x

i see the other person already told u the answer so i want points don’t mind meee

need help on this one

Answers

Answer:

[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]

Step-by-step explanation:

[tex]x=2\sqrt[3]{y-3} +4[/tex]

switch the x and y, then use order of opperations

1. What translation is made from f(x) → -f(x)?

Answers

Answer: this is a reflection across the x-axis

please help me if you know thank you :)))

Answers

Answer:

a) -inf b) DNE c) 2 d) 3 e) 1

Step-by-step explanation:

Im not 100% sure about c and d

Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)

A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3​

Answers

Answer:

ABE

Step-by-step explanation:

Perpendicular means the slope of the line and the answer are reciprocal to each other.

The slope of the line is -1/2, which means the slope of the answer should be 2.

From A we got: y=2x-1

B:y=2x

C:y=-2x+1

D:y=-1/2x-2

E:y=2x-3

So the answer is ABE

Can someone help me with this? Last one is -1/4 btw

Answers

2 because rise/run so 8/4 which=2

What is the simplest form of ^4sqrt324x^6y^8

Answers

[tex]\rm{\green{Answer \: is:-}}[/tex]

[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

Hope it's helpful to you

Let's see

[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]

m√a^n=a^n/m

[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]

Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt

Answers

Answer:

Ali= x + 5

Aunt= 4x

Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light object?

Answers

Because force= acceleration x mass Acceleration is constant for a body of any mass since force is exactly proportional to mass.

Answer:

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.

hope helpful~

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~Be Brainly!~ExhaustedZombie

The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.

Answers

Answer:

67!

Step-by-step explanation:

A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.

My numbers were 62+63+64+65+66+67=387

I hope this makes sense!

PLEASE HELP QUESTION IN PICTURE.

Answers

Answer:

D

Step-by-step explanation:

Answer:

12 square units

Step-by-step explanation:

once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12

By which rule are these triangles congruent?

АА
SAS
SSA
AAS

Answers

Answer:

it's AAS is my opinion

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!

Please help me with this

Answers

Answer:

A and F

Step-by-step explanation:

Solve the system by substitution
8x + y = 4
-2x - 8 =y
(answer as an ordered pair)

Answers

The answer is (2,-12)

How do I find the inverse?

Answers

g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,

x = -1   ⇒   g(-1) = 4 (-1 + 3)² - 8 = 8

x = -5   ⇒   g(-5) = 4 (-5 + 3)² - 8 = 8

Only a one-to-one function can have an inverse. g(x) is not one-to-one.

However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,

[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

Solve for the inverse:

[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]

[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]

[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]

[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

This means there are two possible solutions for the inverse of g(x) :

• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then

[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then

[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]

Which we choose as the inverse depends on how we restrict the domain of g(x). For example:

Remember that the inverse must satisfy

[tex]g\left(g^{-1}(x)\right) = x[/tex]

In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].

Then as long as [tex]x \ge -3[/tex], the inverse is

[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$16. Option B is a commission rate on weekly​ sales, and he averages ​$6400 in sales each week. What commission rate does he need to have to earn the same amount with the two​ options?

Answers

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

Helppppppppppp!!!!!!!!!!!

Answers

A parallel line must have the same slope. The only one it can be is A

Two parallel lines are crossed by a
transversal.

Answers

Answer:

h = 60˚

Step-by-step explanation:

Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles, meaning they add up to 180˚.

180˚ - 120˚, or 60˚ is your answer.

h = 60˚

The solution is, the value of h is, h = 60˚

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

Look at where it shows the 120˚, and its vertical angle.

Vertical angles are congruent, or the same meaning it's also 120˚.

now, we have,

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same.

We call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles,

meaning they add up to 180˚.

so, we have,

180˚ - 120˚,

or 60˚ is your answer.

i.e.

h = 60˚

Hence, The solution is, the value of h is, h = 60˚

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what number set does -7 belong to

Answers

Answer:

Integers

Step-by-step explanation:

Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.

True or false: In(x+y)- In(x+y)=0. Explain your thinking.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf ln(x + y) - ln(x + y) [/tex]

[tex] \sf ln( \frac{x + y}{x + y} ) [/tex]

[tex] \sf ln(1) [/tex]

[tex] \sf0[/tex]

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!

(This is easy, but confusing) What is 1+ 2+ 3+ 4+ 5 -6 divided by 7 times 8 - 9???

Answers

Answer:

=-0.8

Step-by-step explanation:

1+2+3+4+5-6÷7×8-9

15-6÷7×8-9

15-0.85×8- 9

15-6.8-9

=-0.8

Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour

Answers

350.15 divided by 23.5 hours equals 14.90

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

help please anybody which too are correct ​

Answers

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps


Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box

Answers

Daniel has 37 photos
The answer is 37 photos
Hope this helps

____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry

Answers

Answer:

Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.

Step-by-step explanation:P I E C K_______

help ASAP please which too answers are correct ​

Answers

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.

Answers

Answer:

2:1 RATIO

Step-by-step explanation:

If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

How did we get the value?

To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:

Steps:Feet

4:10

6:15

12:30

30:40

Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:

Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4

Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4

Average Steps-to-Feet Ratio = 2.1665

Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

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