Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5

O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV​

Answers

Answer 1

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true


Related Questions

Intuitively, does it make sense that all circles are similar? Why or why not?

Answers

Answer with explanation:

Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.

Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.

. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?

Answers

i dont understand nun of that

a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].​

Answers

Answer:

she's I'll ccgmf

Step-by-step explanation:

for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.

Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).

If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.

Answers

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

Answer:

$42 for 28 binders.

Step-by-step explanation:

B

A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.

Plan A: f(m) = 0.12 + 75

Plan B: f(m) = 0.35m

I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.

II. For each function, determine how the rate of change will affect the total cost of a car rental.

III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?

Answers

Answer:

Plan B

Step-by-step explanation:

given that the line a is parallel to line b and that line c is parallel to line d, if m∠13 = (12x-22)° and m∠14 = (9x-29)°, find m∠2

Answers

Answer:

70°

Step-by-step explanation:

m<13 + m<14 = 180

So, 12x-22+9x-29=180

or, 21x=180+29+22

or, 21x=231

or, x=11

now m<2=<m14=9x-29

or, m<2=9×11-29=70°

Answered by GAUTHMATH

HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:

(negative 3, negative 1), (2, 2)

a.

y = 3/5x – 5/4

c.

y = 3/5x – 4/5

b.

y = 3/5x + 4/5

d.

y = -3/5x+4/5


Please select the best answer from the choices provided



A

B

C

D

Answers

Step-by-step explanation:

solution

Coordinate (-3,-1)(2,2)

x¹=-3 x²=2, y¹=-1 y²=2

M=(y²-y¹)/(x²-x¹)

M=(2+1)/(2+3) => 3/5

Equation of line

M=(y-y¹)/(x-x¹)

3/5 = (y+1)/(x+3)

cross multiply

3(x+3)=5(y+1)

3x+9=5y+5

5y-3x=4

5y=4+3x

y=4/5 + 3x/5

(C)

f(x) = x + 6, find the ordered pair when x = -2.

Answers

Answer:

(-2,4)

Step-by-step explanation:

ordered pair = coordinates

f(-2) = -2+6 = 4

f(x) = y

Answer- -2,4 I’m pretty sure ?

Find all solution(s) of the quadratic equation x2 – 100 = 0. Question 9 options: A) x = 10, –10 B) x = –10 C) x = 10 D) x = 100, –100

Answers

Answer:

x = - 10, x = 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

solutions are x = - 10, x = 10

Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer

Answers

Answer:

9.9

Step-by-step explanation:

Let the side of ZX = x

4/8 = x/19.8

Cross-multiply

8x = 79.2

Divide both sides by the coefficient

8x/8 = 79.2/8

x = 9.9

Someone explain this I don’t understand

Answers

The answer is x=33.37

"The mean age of all students at the University has a 95% chance of falling between 21.3 and 24.6 years of age." This statement represents:

Answers

Answer:

Confidence interval of the population mean

Step-by-step explanation:

The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.

The statement above gives the confidence interval at α = 95%

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Answers

Answer: 7m⁵ -3m³ - 3

Working:

= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)

= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6

= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3

= 7m⁵ -3m³ - 3

Answered by Gauthmath must click thanks and mark brainliest

5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?

Answers

Answer:

Value is 57

Step-by-step explanation:

sin 33

= sin (90-57)

= cos 57

Answered by GAUTHMATH

Simplify the Following
4×7-63÷9+20​

Answers

Answer:

41

Step-by-step explanation:

pay attention to the order of operation

4*7 - 63/ 9 +20, first multiplication and division from left to right

28  - 7  + 20 , second addition and subtraction from left to right

    21 +20

       41

Answer:

Step-by-step explanation:

Use PEDMAS

First perform division, then multiplication and then addition & subtraction.

4 * 7  - 63÷9 + 20 = 4*7 - 7 + 20    {Division}

                             = 28 - 7 + 20     {Multiplication}

                             =  41

Find the value of x. Round
the nearest tenth.

Answers

Step-by-step explanation:

here's the answer to your question

X = 13.7!!!!!!!!!!!!!!

A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number

Answers

Answer:

the number is 2.45

Step-by-step explanation:

let the original number = n

[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]

Therefore, the number is 2.45

40 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches

Answers

Answer:

V=L x W x H

(4.7)(5.2)(4.7)(5)

=574.34 inch

Answer:

the answer is 140.6

Step-by-step explanation:

got it right on quiz

Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation
as viewed from Y of the composite shape.​

Answers

Answer:

Nice job dude

Step-by-step explanation:

Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.

Answers

Answer:

35

Step-by-step explanation:

Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4

Answers

Answer:

x - 3y = 24

B. y = -3x - 1

Step-by-step explanation:

Hope it helped.

° ° °

Find the distance between points (a,b) and Q -a,-b)​

Answers

Answer:

d = 2* sqrt(a^2 + b^2)

Step-by-step explanation:

Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.

P = (a,b)

Q= (-a,-b)

x1 = a

x2 = - a

y1 = b

y2 = - b

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-a - a)^2 + (-b - b)^2  )

d = sqrt ( -2a)^2 + - (2b)^2 )

d = sqrt(4a^2 + 4b^3)

d = 2* sqrt(a^2 + b^2)

please help me i'm being timed

Answers

Answer:

B. A linear, partial variation

Step-by-step explanation:

We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.

Can someone please explain how to do number 23 I have no idea how to do it.

Answers

Ok so first equate all the three equations whether by substituting or by eliminating then choose the one das not the answer

Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into

Answers

Answer:

Domain is all real numbers, and range is all numbers greater than or equal to -2.  If thee was anything you didn't understand let me know.  

Step-by-step explanation:

The domain is what x values work, or it may be better to say the horizontal axis.  is there any number you cannot use?  if you cannot tell, this is a parabola, like x^2.  Is there any number you cannot plug into x^2.  The answer is no, the domain for all parabolic functions is all real numbers.

The range you really want to look at visually here.  Range is y values you can get, or values on the vertical axis.  I would also compare it to x^2 again.  You should know you can make it as high as you want, here is the same.  but at -2, there is no point below that.  so the range is -2 and up

The other options are just specific numbers.  you can disprove those by choosing a number not on their lists.  For the domain literally any other number.  For range any number not on the list greater than -2

5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.

2x2 + 7x = 15


A. (2x – 3)(x + 5) = 0

B. (2x + 3)(x + 5) = 0

C. (2x + 5)(x – 3) = 0

D. (2x – 5)(x + 3) = 0

Answers

Answer:

7x=11

Step-by-step explanation:

do it

A savings account for a car is set up with an initial balance of $2500, and $100 is added every month
(no other transactions occur on the account).

1. Write the expression:
2. Write the equation equal to(=) $3600 car goal:
3. How many months will it take?

Answers

Answer:

11

Step-by-step explanation:

3600 = 100x+2500

1100 = 100x

x = 11

Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)

Answers

Answer:

y = 11/5x - 32/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 9 / 2 - 7

-11 / -5

= 11/5

y = 11/5x + b

-2 = 11/5(2) + b

-2 = 22/5 + b

-32/5 = b

Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]

7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.

Answers

Answer:

8-x=2

-x=2-8

-x=-6

x=6

if 8 is subtract from 6answer is 2

Other Questions
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He appointed Sue to be acting dean while he was out of the country and posted an announcement on the college website which said that Sue was authorized to act in his place. Figgins also told Sue privately that she could do most everything in his job description while he was away, but she did not have the right to make admissions decisions. While Figgins was gone, Sue overruled the admissions committee to admit the child of a wealthy alumnus. 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