when solving inequalities,name 2 steps that are the same as solving equations and one difference

Answers

Answer 1

9514 1404 393

Explanation:

same:

the addition property of equalitythe multiplication property of equality (for positive multipliers)

different:

the multiplication property of equality for negative multipliers

_____

Additional comment

Multiplication by a negative number has the effect of re-ordering numbers:

  -1 < 2 . . . 1 > -2 (both sides multiplied by -1)

Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.

  1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)

  30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)


Related Questions

Find m(angle) and give a trig equation

Answers

Step-by-step explanation:

Just using the Pythagoras theorem

How far can you travel in 19 hours at 63 mph

Answers

Answer:

1197 miles.

Step by step explanation:

Speed(s) = 63 mph

Time(t) = 19 hours

Distance(d) = ?

We know,

D = S × T

= 63 × 19

= 1197 miles

Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by step explaination​

Answers

Ravi earns per month=Rs4300Spends=80%

Saving percentage=100-80=20%

Saving amount:-

[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]

[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]

[tex]\\ \sf\longmapsto 43\times 20[/tex]

[tex]\\ \sf\longmapsto 860[/tex]

saving per year=Saving per month×12

[tex]\\ \sf\longmapsto 12\times 860[/tex]

[tex]\\ \sf\longmapsto Rs10320[/tex]

Step-by-step explanation:

i think this will be help you


1. What kind of special angle pair do the 2
angles make? (corresponding,
supplementary, or vertical)

Answers

Answer:

supplementary angle is whose is mesure is 180

HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.

Answers

Answer:

you forgot to add an image I dont know what angles your talking about

Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Learn more about magnitude of an earthquake here:

https://brainly.com/question/3457285

David can receive one of the following two payment streams:

i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0

At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.

Determine i.

Answers

Answer:

3.51%

Step-by-step explanation:

From the given information:

For the first stream, the present value can be computed as:

[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]

Present value for the second stream is:

[tex]=\dfrac{600}{(1+i)^{10}}[/tex]

Relating the above two equations together;

[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]

consider [tex]v = \dfrac{1}{1+i}[/tex], Then:

[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]

where:

[tex]v^n = 0.75941[/tex]

Now;

[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]

[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]

[tex](v)^{10} = 0.7082[/tex]

[tex](v) = \sqrt[10]{0.7082}[/tex]

v = 0.9661

Recall that:

[tex]v = \dfrac{1}{1+i}[/tex]

We can say that:

[tex]\dfrac{1}{1+i} = 0.9661[/tex]

[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]

The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Answers

Answer:

How should we proceed with this question

-Ba+9=Q²a solve for a

Answers

Answer:

[tex]a= \frac{9}{B+Q^2}[/tex]

Step-by-step explanation:

Given;

-Ba+9=Q²a

To solve for "a", make "a" the subject of the formula.

First, collect similar terms together;

-Ba - Q²a = -9

multiply through by "-1" to remove the negative sign;

Ba + Q²a = 9

factor out a;

a(B + Q²) = 9

divide both sides of the equation by "(B + Q²) ";

[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]

Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]

the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation

Answers

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.


In triangleABC, AC = 15 centimeters, m

Answers

Answer:

16.17 cm

Step-by-step explanation:

The solution triangle attached below :

To obtain BC ; we use the sine rule ;

a/ sin A = b / sin B

A = (180 - (68 + 24))

A = 180 - 92

A = 88°

a / Sin 88 = 15 / sin 68

Cross multiply :

(a * sin 68) = (15 * sin 88)

a = 14.990862 / sin 68

a = 16.168165

a = 16.168 cm

Absolute Value Equations

Answers

Answer:

4 is E, 5 is A

Step-by-step explanation:

4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.

5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.

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Segme
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ne Ruler Postulate to find segment lengths.
e the Segment Addition Postulate to find segm
copy segments and compare segments for cong
find the length indicated.

1.
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20
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Answers

trả :lờingu

Step-by-step explanation:

What would you do to isolate the variable in the equation below, using only one
step?
X + 9 = - 12
O Subtract 9 from both sides of the equation.
O Add 9 to both sides of the equation.
का
O Subtract 12 from both sides of the equation.
O Add 12 to both sides of the equation.

Answers

subtract 9 from both sides of the equation

Answer:

O Subtract 9 from both sides of the equation.

Step-by-step explanation:

Notice that on the left hand side of the equation, you have two parts: X and 9. The variable is X, so we must do something to the 9 to remove it. Remember that we can cancel things by adding the negative of it. For example, 47+(-47)=0. Therefore, the opposite of 9 is -9. That essentially means subtracting 9.

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

Write the equation of the line for the graph shown below, please

Answers

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

Q is equidistant from the sides of TSR. Find the value of x.
T
(2x + 240°
30°
S
R

Answers

Lets do

[tex]\\ \sf\longmapsto 2x + 24 = 30 \\ \\ \sf\longmapsto 2x = 30 - 24 \\ \\ \sf\longmapsto 2x = 6 \\ \\ \sf\longmapsto x = \frac{6}{2} \\ \\ \sf\longmapsto x = 3[/tex]

How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest

Answers

9514 1404 393

Answer:

  120 days

Step-by-step explanation:

Using the formula for simple interest, we can solve for t:

  I = Prt

  t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year

For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...

  (1/3)(360 days) = 120 days

It will take 120 days for the loan to earn 608 in interest.

gegygwugduwbudbwbdubwudbuwh7fh7whf8hw8hf8hw8hf8e​

Answers

Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

Badabeep bop when the beat drop

Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?

Answers

Answer:

12.5 mph and 7.5 mph

Step-by-step explanation:

Tom's speed = xCarl's speed = y

We have:

x = y + 5(x + y)*10 = 200

Substitute x and solve for y:

(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5

Find x:

x = 7.5 + 5 = 12.5

Tom's speed is 12.5 mph

Carl's speed is 7.5 mph

Toms speed be a and Carl's speed be b

Now

a=b+510(a+b)=200

From eq(2)

a+b=20

From eq(1)

a-b=5

Adding these recent two

2a=25a=12.5mph

Putting in eq(1)

b=a-5b=12.5-5b=7.5mph

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

Please answer this question. Will give brainiest fast

Answers

Answer: The answer is C the one you chose

Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5dollar each. If she buys 10 raffle tickets, then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spends at the fundraiser is a function of r, the number of raffle tickets she buys.
Write the function's formula.

Answers

Answer:

50r + a = 135

Admission cost was $85

Step-by-step explanation:

We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.

5r + a = 135

We know that she purchases 10 tickets so we can substitute that in r and solve for a.

50 + a = 135

a = 85

Best of Luck!

I have 3 questionssss

∠A and ∠T are supplementary. Given m∠T = (7x+11)° and m∠A = (8x+19)°, what is m∠T?

The other two are in the pics attached! PLS!

Answers

Answer:

<T = 81

x = 10, angle = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Step-by-step explanation:

Supplementary angles add to 180

(7x+11) + (8x+19) = 180

Combine like terms

15x + 30 = 180

Subtract 30 from each side

15x +30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want angle T

T = 7x+11 = 7(10)+11 = 70+11 = 81

The two angles add to 90

5x+10 + 30 = 90

Combine like terms

5x+40 = 90

5x+40-40 = 90-40

5x = 50

Divide by 5

5x/5 = 50/5

x=10

5x+10 = 5(10) +10 = 50+10 = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Which table has a constant of proportionality between y and x equal to 0.3?

Answers

Answer:

C

Step-by-step explanation:

you can divide y/x

1.2/4= 0.3

2.4/8= 0.3

3.9/13= 0.3

please answer quickly!! and no links please!

Answers

Step-by-step explanation:

here are the answers for your problems

What are the coordinates A’ after 90 counterclockwise rotation about the origin.

Answers

Answer:

the above is the answer

hope this is helpful

Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer. A(2, 3) B(-1, 4) C(0, 2) D(-3, 3)

Answers

Answer:

The quadrilateral is a parallelogram

Step-by-step explanation:

If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2

hope this helps

The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

What is a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).

The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.

This can be proved by finding the distance between these points.

The formula of distance between two points is

[tex]AB=\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}}[/tex]

Distance AB is

⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]

⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]AB=\sqrt{9+ 1}[/tex]

⇒ [tex]AB=\sqrt{10}[/tex]

Distance BD is

⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]

⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]

⇒ [tex]BD=\sqrt{4+ 1}[/tex]

⇒ [tex]BD=\sqrt{5}[/tex]

Distance DC is

⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]DC=\sqrt{9+ 1}[/tex]

⇒ [tex]DC=\sqrt{10}[/tex]

Distance CA is

⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]

⇒ [tex]CA=\sqrt{4+ 1}[/tex]

⇒ [tex]CA=\sqrt{5}[/tex]

Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.

Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

Learn more about parallelogram here

https://brainly.com/question/16056863

#SPJ2

Refer to the picture above

Answers

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

[tex]2\pi r[/tex] = Circumference.

[tex]2 * \pi * 6[/tex] = [tex]12\pi[/tex]

Find the ratio of the angle in relation to the entire circle:

[tex]30^o[/tex] is what we have. So:

[tex]\frac{30^o}{360^o} = \frac{1}{12}[/tex]

Use the ratio and multiply the circumference to find the length:

[tex]12\pi * \frac{1}{12}[/tex] = [tex]\pi[/tex]

Round answer to the hundredth:

[tex]\pi = 3.14[/tex]

Yes the answer is 3.14
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