Solve the inequality 2x²+x-3<0

Answers

Answer 1

Answer:

[tex]-\frac{3}{2} <x<1[/tex]

Step-by-step explanation:

[tex]2x^{2} +3x-2x-3<0[/tex]

[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]

[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]


Related Questions

The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspapers readers, how many readers does the newspaper

Answers

Answer:

1750

Step-by-step explanation:

We first find the rate

70/4

= 17.5

We know 17.5 is 1% of the people that read newspaper, we will multiply 17.5 by 100 as it would represent 100% of the people

17.5 * 100

= 1750

What integer represent 10 degrees above zero?

Answers

Answer:

 10

Step-by-step explanation:

an integer is an opposite but if it is above zero it is a positive number and and integer of a positive number is another positive number

(U will get brainliest if u help! Pls write at least 2 sentences to support your answer :D )

What is 4 x 3/8 ?

Answers

4 × 3

8

= 4 × 3

8

= 4 × 3

8

= 2 × 3

4

= 1 × 3

2

= 1 × 3

2

= 3

2

= 1.5

What is the scale factor of triangle A to triangle D.

Answers

Answer:

the correct answer is isosceles

Answer:

When two shapes are similar, their corresponding angles will be the same.  The angles are the same because the shape is still the same.  You can tell from the order of the similarity statement which angles match up.  In the example, angles A and D are the same (both letters are in written first), angles B and E are the same (both letters are written in the middle), and C and F are the same

Step-by-step explanation:

Similar triangles can be different sizes, so the lengths of the corresponding sides are not necessarily the same, but they are proportional.  This means that the ratios of the corresponding sides are equal.

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

Answers

Answer:

1/8x - 11

Step-by-step explanation:

-3/8x - 2 + 1/2x - 9

-3/8x + 1/2x - 2 - 9

1/2x = 4/8x

-3/8x + 4/8x - 11

1/8x - 11

PLS MARK BRAINLIEST

Answer:

[tex]\frac{1}{8}x-11[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}x-2+\frac{1}{2}x-9[/tex]

[tex]-\frac{3}{8}x-2+\frac{4}{8}x-9[/tex] (find common denominator. [tex]\frac{1}{2} * \frac{4}{4} = \frac{4}{8}[/tex] )

[tex]\frac{1}{8}x-11[/tex] (add like terms. [tex]-\frac{3}{8}x + \frac{4}{8}x = \frac{1}{8}x[/tex] and -2 + (-9) = -11 )

se lanza una piedra a un estanque de agua tranquila el cual crea ondas concentricas que aumentan el radio al pasar el tiempo. cuando la onda exterior alcanza 3 metros de radio, aumenta a una rapidez de 5 cm/s¿a que rapidezaumenta dicha areadel circulo por dicha onda?

Answers

This is what she/he is saying:

A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of ​​the circle increase by said wave?

1\2g+2g-3\4g+7

Can someone please help

Answers

For this problem combine like terms. Add 1/2g to 2g, which gives u 2.5G, then subtract 3/4g, which equals 1.25g. The answer is 1.25G+7

Which of the following is a benefit to using a random sample for an observational study?

Answers

Answer:

Step-by-step explanation:

Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.

A sample is a  group that is taken out of the population to be tested.

A random sampling occurs when subjects are being selected for a study  

The benefit of using random sampling is that each subject in the population is equally likely to be selected and the resulting sample is likely representative of the population.

Random sampling allows for unbiased estimates to be created, but at the cost of efficiency within the research process

Some advantages of random sampling shown below,

It has less risk of carrying an error.There is an equal chance of selection.It requires less knowledge to complete the research.

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Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
What was the original number?

A. 3 1/2

B. -11 1/2

C. 2 1/2

D. -3 1/2

Answers

The answer is -11 1/2

A water tank is in the shape of an inverted cone with height twice its radius. Water is being pumped into the tank at a rate of 2m3/min. Find the rate at which the water level is rising when the water is 3m deep.

Answers

Answer:

dh/dt = 8/9π

Step-by-step explanation:

Given that

Volume of A cone = 1/3πr²h.

Assuming v is the volume of the tank, then dv/dt = 2 m³/min

Assuming h is the height of the water we're looking for dh/dt

To start, we need to find a relationship between dh/dt and dv/dt

We then write v as a function of h, instead of having it as h & r, and then by using similar triangles, we notice that

r/h = 2/4, essentially, r = h/2.

Now, we substitute for this r, in the formula for volume

V = 1/3πr²h

V = 1/3 * π * (h/2)² * h

V = 1/3 * π * h³/4

If we differentiate v, wrt t, we have

dv/dt = π/12 * 3h² * dh/dt

dv/dt = π/4 * h² * dh/dt

Remember that h = 3, so, substitute for h

2 = π/4 * 9 * dh/dt

8/π = 9 * dh/dt

dh/dt = 8/9π

The distance from point F to point G on a line segment is 5. Point F is at (4,a) and point G is at (1,6). What is the value of coordinate "a"?​

Answers

Answer:

X is up Y is over

X: 3 Y: 9

X: 9 Y: 3

X: 6 Y: 5

X: 5 Y: 6

Hope This Helps

Can 5x+5y be added together to make 10xy?

Answers

Answer:

no

Step-by-step explanation:

What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.5 and 6.6,
B. She should find the average of 6.4 and 6.5.
C. She should estimate that 42 is 6.50
D. She should find the squares of numbers between 6.4 and 6.5.

Answers

This answer would be b because

Answer:

D

Step-by-step explanation:

Did the quiz


Express it in slope form

Answers

Y=Mx+b is slop intercept form the slope of the line is 1/4 and b is the y intercept which the line crosses over at -3 so it would be Y=1/4x-3

What's the addition property of 23 + 4 + 109 = 4 + 23 + 109

Answers

Answer:

I am confused on this question too

Step-by-step explanation:

pls answer this it’s due

Answers

Answer:

The second to last choice

Step-by-step explanation:

Is this algebra one or two please mark me brainlist

can you help me with that

Answers

Answer: 55% or 11/20

Step-by-step explanation:

NEED HELP !!! give the following information about the linear function shown below. If unsure about placement, round to the nearest half.

Answers

Answer:

slope = -3

x-intercept = (4/3,0) = (1.33,0)

y-intercept = (0,4)

f(-1) = 7

Step-by-step explanation:

Take 2 known points

i.e (0,4) and (1,1) from the graph

slope = (1-4)/(1-0) = -3

now we have

linear equation

y = mx+c

we have (0,4)

4 = -3 * 0 + C

C =4

so the equation of line is

y = -3x + 4

now

f(-1) = -3 * -1 +4 = 3+4 =7

for x intercept, put y = 0

o = -3x + 4

x = -4/-3 = 4/3

for y intercept, x = 0

y = -3 * 0 + 4 = 0+4 = 4

What are the relative maximums of the function: f (x) = x²-3x + 5

Answers

Answer:

(3/2,11/4)

Step-by-step explanation

-b/2a to find the axis of symmetry

3/2= axis of symmetry

Then plug that in to find the vertex/maximum or minimum

3/2^2-3(3/2)+5

9/4-9/2+5

You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)

So, 9/4-18/4+20/4

9/4-18/4= -9/4+20/4= 11/4

So the maximum is

(3/2, 11/4)

What person, Matt or Jane, has a constant rate of pay, and what is it?

Answers

Answer: Jane

Step-by-step explanation: Her pay is going up by the same amount, 12, each time.

Answer:

Matt's pay is not linear

Jane's pay is linear, and it is $12/hour

Step-by-step explanation:

Matt's Earnings:

As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $8. From 2 hours to 3 hours, the difference in hours is again 1, but the difference in pay is $11. Since equal changes in x do not produce equal changes in y, Matt's earnings are not linear.

Jane's Earning:

As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $12. From 2 hours to 3 hours, the difference in hours is again 1, and the difference in pay is again $12. Since equal changes in x produce equal changes in y, Jane's earnings are linear.

Jane's rate of pay is $12/hour

The line r represents f(x)=x-4/3.therefore,the line that represents f^-1 is ___ and f^-1(x)=____ x+____.

Answers

Answer:

f^-1 is P and f^-1(x) = 3x+4

Step-by-step explanation:

I did the work in my notebook but pretty much to find the inverse of [tex]\frac{x-4}{3\\}[/tex] you gotta do an equation and yeh its pretty simple.

The solution is , f^-1 is P and f^-1(x) = 3x+4.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

from the given figure, we get,

The line r represents f(x)=x-4/3.

so, we get,

f^-1 is P

let, y = f(x)

and, f^-1(y)=x

i.e. y = x-4/3.

3y=x-4

x=3y+4

so, f^-1(y) = 3y+4.

and f^-1(x) = 3x+4.

To learn more on Expression click:

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#SPJ5

three children each eat 2/3 of a cake how much cake is eaten altogether?

Answers

Answer:

childre=3 cake eaten 2/3 so total eaten cake by children will be 2/3*3=2

[tex]2/3*3=3[/tex]

Step-by-step explanation:

Just help with 7,8, and 10 I already got help with the rest also I’ll mark brainliest for a small explanation:)

Answers

You can apply the formula to find the slope. Take any two ordered pairs (preferably the ones easiest to subtract) from the table and then plug in the coordinates into the formula (y2 - y1)/(x2 - x1).

Is this a function?
(-2,3) (-3,3) (2,-3) (3,-3)

Answers

Answer:

yes

Step-by-step explanation:

not sure need help ​

Answers

Answer:

192

Step-by-step explanation:

There are 2 ways of solving for <4

The first is just to add the 2 angles not connected to <4

<4 = 51 + 51 = 102

The second is to find <2 and take that away from 180

<2 + 51 + 51 = 180

<2 = 180 - 102

<2 = 78

<4 + <2 = 180   (They are supplementary

<4 = 180 - 78

<4 = 102

f(x)= -10x+6 Evaluate the function.
f(-2)=
a.-26
b.-14
c.0.8
d.26

Answers

F(-2)= -10(-2) + 6
F(-2) =20+ 6
F(-2) =26

Answer:

D. f ( - 2 ) = 26

Step-by-step explanation:

Step 1:

f ( x ) = - 10x + 6         Function

Step 2:

f ( - 2 ) = - 10 ( - 2 ) + 6       Input x value

Step 3:

f ( - 2 ) = 20 + 6       Multiply

Answer:

f ( - 2 ) = 26        Add

Hope This Helps :)

Subtract 5x^2 – 2x – 5 from – 2x^2
- 5x - 7

Answers

Answer:

[tex]-7x^{2} -3x-2[/tex]

Step-by-step explanation:

[tex](-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2[/tex]

Answer:

-7x² -3x - 2

Step-by-step explanation:

(-2x²-5x -7) - (5x² - 2x - 5)

removing parentheses

-2x² -5x - 7 -5x² + 2x + 5

collect like terms

-2x² - 5x² -5x + 2x -7 + 5

= -7x² -3x - 2


Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?

Answers

14 weeks
164-52=112
112/8=14

Answer:

I would say 14 weeks.

Step-by-step explanation:

I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.

does anyone know how to solve this inequality? ​

Answers

Answer:

(x-1/2)-(x-2/3)>(x-3/4)
Multiply both sides by 12
6(x-1)-4(x-2)>3(x-3)
6x-6-4x+8>3x-9
6x-4x-6+8>3x-9
2x+2>3x-9
Move 3x to the left, and move 2 to the right; change the signs for both
2x-3x>-9-2
-x>-11
Change the signs
x<11

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]

Multiply sides by 12

[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]

[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]

[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]

[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]

[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]

[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]

Collect like terms

[tex](6 - 4)x + 2 > 3x - 9[/tex]

[tex]2x + 2 > 3x - 9[/tex]

[tex]3x - 9 < 2x + 2[/tex]

Add sides 9

[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]

[tex]3x > 2x + 11[/tex]

Subtract sides 2x

[tex] - 2x + 3x > - 2x + 2x + 11[/tex]

[tex]x > 11[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25

Step-by-step explanation:

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