Find all x such that x^2+5x<6. Express your answer in interval notation.
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:
(-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)
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
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 .
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:
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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.
Is 5/9 equivalent to 3/6 HELPPPP pls
Answer:
No
Step-by-step explanation
Which statements are true about the ordered pair (7, 19) and the system of equations?
{2x−y=−5x+3y=22
Select each correct answer.
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (7, 19) is a solution to the system because it makes both equations true.
I will give brainliest i got fish
50 a day for one company and 64 a day for another company how many days would it take to have the same price
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!
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
According to research on calorie consumption, 2 hours of swimming burns 600 calories. Choose the proportion that will give H, the number of hours of swimming needed to burn 1000 calories.
Carol conducted a survey of four school cafeterias to find the number of students who like tacos for lunch. The results of her survey are recorded in the table below:
School Cafeteria Survey School Total Number of Students in the Cafeteria Number of Students Who Like Tacos
A 45 12 B 40 15 C 27 9 D 32 13
Which school has the greatest percentage of students who like tacos for lunch?
Answer:
D: 40.625%
Step-by-step explanation:
A: 26.67%
B: 37.5%
C: 33.33
D: 40.625%
Carla passes fertilizer on Amistad's yard. She covers 150 square feet every 3 hours. How many square feet per hour does Carla cover? Explain your reasoning.
Answer:
50 square feet
Step-by-step explanation:
150/3= 50
Answer:
the answer is 50
Step-by-step explanation:
if she does 150 square feet every 3 hour
you need the 3 hours down to 1 so in order to do that
you need to divide 3 by 3
what you do to one side must be done to the other
150 by 3
so it will look like
3/3 = 150/3
1 = 50
To make a friendship bracelet, some long strings are lined up then taking one string and tying it in a knot with each of the other strings to creat a row of knots. A new string is chosen and knotted with the all the other strings to create a second row. this process is repeated until there are enough rolls to make a bracelet to fit around your friends wrist. Are the number of knots proportional to the number of rows?
l think its 4 but lm scared of failure
Answer:
8
Step-by-step explanation:
I think is 8
2 (*4) 8 (*4) 32
3 (*4) 12 (*4) 48
i hope is right.
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
Answer: I would say D but I’m not sure, hope I helped!
Step-by-step explanation:
PLS HELP DUE SOON!!!!!
Step-by-step explanation:
1. 0.5
6. 3
10. 5
16. 8
25. 12.5
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
The data on the box plot describes the weight of several students in sixth grade. Which of the following statements are true about the data set? Select all that apply.
Answer:
we kinda need the choices
Step-by-step explanation:
The options are
A. The total range of weight is 20 pounds.
B. The lowest quarter of data is more dispersed than the highest quarter of data.
C. One-half of the students weigh between 72 and 86 pounds.
D. The median weight of the sixth graders is 76 pounds.
E. One-fourth of the students weigh between 72 and 76 pounds.
F. One-fourth of the students weigh more than 76 pounds.
G. One-fourth of the students weigh less than 72 pounds.
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.
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
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A.(x,y)-(2x,2y)
B.(x,y)-(3/2x,3/2y)
C.(x,y)-(3x,2y)
D.(x,y)-(x+2,y+2)
Answer:
I would say A.
Step-by-step explanation:
ASAP! 20 Points!
85.12 meters and 68.298 meters wide, How many longer is the length than the width?
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
Tell me please we are timed hurry
Answer: 255
Step-by-step explanation:
Answer:
1 -297
2-12
3-255 square
i think
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.
Answer:
About 132
Step-by-step explanation:
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!!!
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
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!!!
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
it is 12
Step-by-step explanation:
4x + 5 – x = 10 + 3x + 4 ***please include the work with it
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.
Write the equation of the line that has the same slope as the line graphed and passes through (1, -8)
what line was graphed?
Step-by-step explanation:
state it in our question
WILL BE MARKED BRAINLIEST
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Nate and his mom are planting vegetables in their garden. Nate has finished planting 4 rows of carrots so far and is planting new rows at a rate of 1 row per hour. His mom has finished 1 row of tomatoes and will continue planting at 2 rows per hour. Once the pair get to the point where they have finished the same number of rows, they will take a break and decide what to plant next. How long will that take? How many rows will they each have completed?
In________hours, Nate and his mom will each have planted___________rows of vegetables.
Answer:
did you find the answer yet?
Step-by-step explanation:
what is 2.79 multiplied by 5.6
Answer:
15.624
Step-by-step explanation: