Find all x such that x^2+5x<6. Express your answer in interval notation.

Answers

Answer 1

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x <6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x+6 <0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+3x+2x+6<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x(x+3)+2 (x+3)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+3)(x+2)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x+3 <0\:or (x+2)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x <-3\:or\:x <-2 [/tex]

Answer 2

Answer:

(-6, 1)

Step-by-step explanation:

x^2+5x<6,

x^2+5x-6<0,

(x^2-x) + (6x-6)<0,

x(x-1) + 6(x-1)<0,

(x-1)(x+6)<0,

-6<x<1

Interval Notation: (-6, 1)


Related Questions

Write the equation of the line that has the same slope as the line graphed and passes through (1, -8)​

Answers

what line was graphed?

Step-by-step explanation:

state it in our question

2+2 is 4 minus 1 that’s 3 quick maths

heeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppp

Answers

Answer: output = -1n + 7 or  -n + 7

n can represent any number.

Step-by-step explanation:  using the slope-intercept form y = mx + b

y is the output. x is any input.  m is the slope.  b is the constant.

Calculate the slope:  rise ÷ run  

You see all the inputs in the chart are going up by 1. This is the run +1

You see all the outputs going down by 1.   This is the rise:  -1

So the slope, m,  is rise / run . -1/1 =  -1

To find the constant, use the slope with any pair of inputs and outputs from the chart in place of y and x in the slope-intercept equation.

y = mx + b  becomes   6 = -1(1) + b . Solve for b

6 = -1 + b

6 +1 = -1 +1 + b

7 = b

Now set up the equation that answers the question using the calculated values of m and b.

y = -1(x) + 7 . We can answer the question with this equation rewritten a bit:

Output = -1n + 7

or -n + 7  as 1 is usually implied.

-n+7 this is the answer sis

Express the perimeter of the figure as an expression in simplest form. (x^2 will be representing "x squared/x raised to the second power") *
1 point
Captionless Image
A 11.8x^4 + 6x^2
B 17.8x
C 17.8x^2
D 11.8x^2 + 6x

Answers

Answer: I would say D but I’m not sure, hope I helped!

Step-by-step explanation:

It’s actually b bc that’s the answer and I know for a fact

5/ 2 x ≤ -14

A. -10.3
B. -6
C. -5.6
D. -5
Which of these does not make the inequality true?

Answers

Answer:

-5

Step-by-step explanation:

5/2(-5)≤-14 false

-12.5≤ -14 so false

The others are true

Answer -5. Explanation bc I got it right

Critical Thinking It has been shown that the graph of g(x) = x + 3 is the result of translating the graph of ƒ(x) = x three units up. However, this can also be thought of as a horizontal translation—that is, a translation left or right. Describe the horizontal translation of ƒ(x) = x to get the graph of g(x) = x + 3.

Answers

Answer:

translated 3 units left

Number 5: (look at picture) 10 points

Answers

Answer: C

Step-by-step explanation:

what is 2.79 multiplied by 5.6

Answers

Answer:

15.624

Step-by-step explanation:

Hi Plz help me with this question

Answers

Answer: 4,-6
Not 100% sure

How can you use the GCF of the numerator and the denominator to write a fraction in simplest form? Give an example.

Answer in paragraph form using complete sentences and include any calculations, graphs, and labeled diagrams as appropriate.


Giving brainliest!!!

Answers

For this method, we first find the greatest common factor for the numerator and denominator. Next, rewrite the numerator and denominator each as two factors where one of the factors is the greatest common factor. Finally, apply the Fundamental Theorem of Fractions to write the simplest form.

how many bicycles did john had

john went to buy 6,000 bicycles for his trip in California He went to get 10,0000 more what is the total

we is not adding but are we subtracting
dividing
multiplying

Answers

it is 12

Step-by-step explanation:

0 cause he went to get them- never said he actually bought any.

need help will give brianly

Answers

3. No it is not on the graph.

because: y=2x+5 insert (5,6)

              6=2x5 +5 is wrong

4. C

Choose the student who wrote and solved the equation correctly.

The cost of 4 bananas is $2.36. What is the cost of each banana?


Mario's Work. StartFraction b Over 4 EndFraction = 2.36. A number line going from 9.41 to 9.49. A point is at 9.44.
Juan's Work. 4 b = 2.36. A number line going from 0.51 to 0.59. A point is at 0.59.
Daviana's Work. B minus 4 = 2.36. A number line going from 6.31 to 6.39. A point is at 6.36.

Answers

Answer:

B i think

Step-by-step explanation:

Juans work is correct because the equation to find cost of each banana is 4b=$2.36

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that the cost of 4 bananas is $2.36

We have to find the cost of each banana.

To find this we have to divide the cost by number of bananas

Divide two point three six by four

Banana is denoted by b

4b=$2.36 is the required equation

Cost of each banana =$2.36/4

=$0.59

Hence, Juans work is correct because the equation to find cost of each banana is 4b=$2.36

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Maggie ordered pizza for the girl's soccer team. There are 14 girls on the team. Each pizza is cut into 8 slices, and Maggie orders 5 pizzas. After the pizza is divided equally amongst the girls, how many slices are leftover?

Answers

So first, you start out my doing 8x5, which equals 40. The next step you want to do is 40/14, which will give you 2 12/14. There will be 12 slices leftover.

I will give brainliest i got fish

Answers

-1/3 or 1/7 if it only tells you to pick one question then it’s -1/3
It is 1/7 hope it helps

A rectangle with a length of x+5 has a perimeter of 4x+ 14. What is the width of the rectangle?

Answers

What i put before is wrong sorrI

Length of the rectangle (l) = x + 5

Perimeter of the rectangle = 4x + 14

Formula of perimeter of the rectangle = 2(length + width)

Let the width of the rectangle be 'w'. So,

[tex] \rm \longrightarrow 2(l + w) = 4x + 14 \\ \\ \rm \longrightarrow 2(x + 5 + w) = 4x + 14 \\ \\ \rm \longrightarrow \dfrac{2(x + 5 + w)}{2} = \dfrac{4x + 14}{2} \\ \\ \rm \longrightarrow x + 5 + w = 2x + 7 \\ \\ \rm \longrightarrow x + 5 + w - (x + 5) = 2x + 7 - (x + 5) \\ \\ \rm \longrightarrow x - x + 5 - 5 + w = 2x - x + 7 - 5 \\ \\ \rm \longrightarrow w = x + 2[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = x + 2

Find the angle measures. Justify your responses. Given: a||b, m1=71º Find m5, m8
I NEED THIS ANSWER BY TUESDAY THE 1ST!!! PLEASE ANSWER!!!

Answers

Answer:

The measure of angle MNP is

m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

Brainliest please

Choose the following ratios as a fraction: 20 correct out of 25 problems (three are correct)

20/25
40/60
80/100
6/7
4/5

Answers

Answer:

4/5

Step-by-step explanation:

It’s 20/25 but you can simplify. Divide both by 5 and you get 4/5.

the answers are 20/25, 80/100, 4/5 i believe

Tell me please we are timed hurry

Answers

Answer: 255

Step-by-step explanation:

Answer:

1 -297

2-12

3-255 square

i think

ASAP! 20 Points!
85.12 meters and 68.298 meters wide, How many longer is the length than the width?

Answers

Answer:

16.822 I think

Step-by-step explanation:

Answer:

153.418

Step-by-step explanation:

i think you'll need to add up 85.12 & 68.298

I'm sorry if it's wrong

Please help me.
The Cross Country Bike Trail follows a straight line where it crosses 350th and 360th Streets. The two streets are parallel to each other. If the angle α = 42°, what is the measure of the larger angle formed at the intersection of the bike trail and 360th Street? Explain.

Answers

Answer:

About 132

Step-by-step explanation:

Is 5/9 equivalent to 3/6 HELPPPP pls

Answers

Answer:

No

Step-by-step explanation

hey everyone can you answer this question in your own words make sure its in your own words please

How do you graph a line if you know the y-intercept and the slope of the line

Answers

You mark the y intercept, and then if the slope is a whole number you give it a denominator of 1, or if it is already a fraction observe, rise over run to calculate each point in the line over the graph.

50 a day for one company and 64 a day for another company how many days would it take to have the same price

Answers

Answer: 75+50x= 105+35x , required equation.

Step-by-step explanation:

Answer:

75+50x= 105+35x , required equation.

Step-by-step explanation:

Find the x−and y−intercepts of −2x − 12y = 24.

Will give Brainliest!

Answers

Answer:

X= -12 -6y, Y= -2- x/6

Step-by-step explanation:

For x

-2x-12y=24

-2x/-2 -12y/-2. 24/-2. Divide all by -2

X+6y=-12 this is what you get after

-6y. -6y. Subtract from both sides

X=-12-6y this is what you get

Find y

-2x-12y=24

-2/-2. -12/-2. 24/-2

X -6y=-12

-x. -x

-6y=-12-x

-6y/-6. -12/-6. -x/-6

Y = -2 - x/6

First for x substitute y for zero then for x substitute y for zero ; if you need to graph then take a glance at my picture. Good Luck!

l think its 4 but lm scared of failure

Answers

Answer:

8

Step-by-step explanation:

I think is 8

2   (*4)     8   (*4)    32

3   (*4)    12   (*4)    48

i hope is right.

PLS HELP ME THIS IS DUE TODAY!!!

Answers

The scale factor is going to be 6!

Answer:

X6

Step-by-step explanation:

If you decided to build a ramp using the 1:16 slope - ratio requirement , what would be the length of the diagonal portion of the ramp ? Show all work , round answers to nearest hundredth if needed .

Answers

Answer:

234* with a 5th meter ramp as well as a 5:15 ration

Step-by-step explanation:

:D have a great day

Answer:

2. 236

Step-by-step explanation:

On the first one I know it is not Noah so please don´t put Noah. Also make sure to explain please
I have to put this again because someone did not answer it right

Answers

The answer to the first one is Noah. It has to be. They have an equal amount of money. They both have 7 dollars and 50 cents.

A.(x,y)-(2x,2y)
B.(x,y)-(3/2x,3/2y)
C.(x,y)-(3x,2y)
D.(x,y)-(x+2,y+2)

Answers

Answer:

I would say A.

Step-by-step explanation:

4x + 5 – x = 10 + 3x + 4 ***please include the work with it

Answers

Answer:

First, you’ll have to collect like terms

4x-x-3x=10+4+5

Next, step is to solve

3x-3x=14+5

0=19

Step-by-step explanation:

I hope the answer to your question is 19, please give me brainliest

Answer:

x =∅ (No solution)

Step-by-step explanation:

First, simplify each side by combining like terms:

3x + 5 = 14 + 3x

So you want to get x to one side and everything else to the other. Subtract (3x) and (5) from each side.

0 = 9

Because 0 does not equal 9, there are no solutions.

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