solve: answer is x is greater than or equal to 3.​

Solve: Answer Is X Is Greater Than Or Equal To 3.

Answers

Answer 1

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer 2

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)


Related Questions

What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young

Answers

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$

Answers

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

convert 30 g 519 mg to g

Answers

Answer:

30.519 g

Step-by-step explanation:

The relation

1 g = 1000 mg

Solving

30 g 519 mg30 g + 519 mg30 g + (519/1000) g30 g + 0.519 g30.519 g

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

Answers

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w

Answers

Answer:

The answer is C :)

Step-by-step explanation:

Use the formula to evaluate the series . Round your answer to the nearest hundredth.

Answers

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?

Answers

Use pemdas (parenthesis, exponents, multiplication/division, addition/subtraction)
12.8+(6*(3.7-.5))
12.8+(6*3.2)
12.8+(19.2)
=32

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

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PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

F(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5
What is g(x) +f(x)

Answers

(2x^2 + 7x - 5) + (-8x^2 - 3x + 5)

= -6x^2 + 4x

That is the answer, but if you need to factor it further:

= 2x(-3x + 2)

The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

Answers

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?

Answers

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.​

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

0 + 127x

Plan 2

363 + 94x

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi

Answers

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

The sum of the interior angle of a polygon is 1260 degrees. How many sides does the polygon have?

Answers

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .​

Answers

At alpha level equal to 0.05, there is no significant difference between mean completion times.

How to illustrate the significance level?

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

Learn more about significance level on:

https://brainly.com/question/14279939

Help Me On This!!

I already know the answer but i need a short explanation.​

Answers

Answer:

option B

Explanation:

With every increase in side, there is an increase in dots

1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot

=============

Option B has 4 sides and 4 dots.

Which expression does this power represent?

10^8


10 × 8

10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8

8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8

Answers

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

What type of association is shown by the scatterplot?

Answers

Answer:

Positive

Step-by-step explanation:

The graph goes up (puff puff positive)

pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.

Answers

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

Which product range generated the most profit over all???

Answers

Answer:

Blue label

Step-by-step explanation:

All that matters here is # of bottles sold * profit per bottle.

If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.

Among all the product ranges blue label generated the most profit of $5625.

What is profit?

Profit is basically the difference between the total revenue and the total cost of the product.

Profit=Total Revenue- Total cost.

How to calculate profit?

We know that Average profit= total profit/ number of units.

So the profit will be as average profits* number of units.

So the profit of product ranges will be =average profit * number of bottles.

Profit of red label=1.12*3000

=$3360

Profit of black label=1.5*2000

=$3000.

Profit of gold label=2.75*1000

=$2750

Profit of white label=1.20*2750

=$3300

Profit of blue label=2.25*2500

=$5625.

Hence among all the product ranges blue label has generated maximum profit.

Learn more about profit at https://brainly.com/question/1078746

#SPJ2

What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3

Answers

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

BRAINLIEST please if this helped!

Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?


A 2/8


B 3/8


C 5/8


D 6/8

Answers

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!

Answers

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number

Answers

it will be 3375 bacteria my ducky

Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.​

Answers

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Classify each of the following lines as parallel, transversal or perpendicular.

Answers

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

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