Answer:
[tex]x<-5\text{ or } x>1[/tex]
Step-by-step explanation:
We have:
[tex](x+5)(x-1)[/tex]
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
[tex](x+5)(x-1)>0[/tex]
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
[tex](x+5)(x-1)=0[/tex]
Zero Product Property:
[tex]x+5=0\text{ or } x-1=0[/tex]
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
[tex]x=-5, 1[/tex]
Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.
So, our solution is:
[tex]x<-5\text{ or } x>1[/tex]
And we're done!
Answer:
The regions where (x+5) (x-1) >0 is x< -5 or x>1
Step-by-step explanation:
(x+5) (x-1) >0
First find the zeros
(x+5) =0 x-1 =0
x= -5 x=1
We then have to check the regions
x< -5 -5 <x<1 x>1
First x< -5
(x+5) (x-1)
X+5 will be negative ( x-1) will be negative
(-) * (-) = + so the values will be positive
Then -5 <x<1
X+5 will be positive ( x-1) will be negative
( +) * (-) will be negative
First x>1
(x+5) (x-1)
X+5 will be positive ( x-1) will be positive
(+) * (+) = + so the values will be positive
The regions where (x+5) (x-1) >0 is x< -5 or x>1
PLS HELP ME I REALLY NEED HELP I DO NOT FEEL GOOD AND I HAVE TO MCUH WORK...pls? (7th grade work)
Answer:
see below
Step-by-step explanation:
65 - 32 = 13
13 divide by 65 = 0.20
0.20 x 100% = 20%
so the percentage drop is 20%
therefore, Marcus is correct.
What is the length of AC?
B
181
1
1
140 - X
A
A. 112
B. 120
C. 105
D. 126
Answer:it’s 126
Step-by-step explanation:
The length of AC will be 126. Option D is correct. Similarity of the triangle is applied to find the value of AC.
What is SAS similarity theorem?ΔABC ~ ΔDEF only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need
From the similarity of the triangle;
[tex]\rm \frac{AB}{ED} =\frac{AC}{EC} \\\\ \rm \frac{81}{9} =\frac{140-x}{x} \\\\ 9x=140-x\\\\ 10x=140 \\\\ x=14[/tex]
The measure of AC is;
AC=140-x
AC=140-14
AC=126
The length of AC will be 126.
Hence,option D is correct.
To learn more about the SAS similarity theorem, refer;
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What is the solution for x in the inequality 4−2x>8
Answer:
X<-2
Step-by-step explanation:
Answer:
x<-2
Step-by-step explanation:
1. Write equation
4-2x>8
2. Combine like terms
-2x>4
3. Divide(and switch ineqaulity sign because the coefficent is negative)
-2x<4
x<-2
4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x - 4) true?
Answer:
20
Step-by-step explanation:
0.25(x+40) = 3+0.75(x - 4)
De’shawn pays $.16 for 12 pounds of sugar.what is the price of the sugar?
Answer:
$.16 x12=$1.92
Step-by-step explanation:
$.16 cents a lb x12 lbs =$1.92
Are you sure the question is correct ? Your saying he paid .16 cents for 12 lbs of sugar. If so
its .16 divided by 12= 0.01
What is an equation of the line that passes through the point ( 8 , − 4 ) and is parallel to the line x − 4 y = 12 x−4y=12?
Answer:
as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24
Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
acd
Step-by-step explanation:
edg 2021
A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.
What is Congruency
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.
Rule of Congruency:
1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.
3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.
4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.
Since JK= QP
KL= KR
Angle LKJ= Angle QRP
So Δ LKJ ≅ Δ QRP.
Learn more about Congruency here
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1. Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. If after 3 hours, Brand A scooter traveled 24 miles at its top speed, at what rate did Brand B scooter travel at its top speed if it traveled the same distance? Write an equation to determine the solution. Identify the if-then moves used in your solution.
Answer:
6 miles/hr
Step-by-step explanation:
Given:
Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.
Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles
To find:
The rate at which brand B traveled the same distance at its top speed ?
Solution:
Let the top speed/rate of brand B scooter = [tex]x[/tex] miles/hr
According to question:
Top speed/rate of brand A scooter = [tex]x+2[/tex] miles/hr
Formula:
[tex]Distance = Speed \times Time[/tex]
Distance is given to be equal to 24 miles:
24 = ([tex]x+2[/tex]) [tex]\times 3[/tex] ...... (1)
Solving the above equation by first dividing the equation on both sides with 3:
[tex]\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)[/tex]
Now subtracting 2 from both the sides:
[tex]\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr[/tex]
Therefore, the answer is:
Top speed of scooter B is 6 miles/hr.
The if-then moves used to solve the equation (1) are:
Dividing by a non zero number on both sides, then subtracting a number on both sides.
Just need a answer to this
Answer:
the answer is b 1.4
Step-by-step explanation:
the answer is b , 1.5
You are creating a business to earn some extra income over the summer. You decide to sell one product that costs you $2.50 to make. You have a total of $2,000 to put towards the cost of starting your business.
(Q1.) Does the inequality below represent the above business? Yes No
(Q2.) 2.50a 2,000 where a represents the number of $2.50 items manufactured.
If you selected no, explain why:
(Q3.) How would you go about solving the inequality to know how many items you can manufacture while staying within your $2,000 budget?
Please Help!!!
Answer:
Step-by-step explanation:
I think this sample work is due today 0^0 but I got yes for the first part and I would divide 2000 by 2.5 and get get 800 items please put this in your own words and I hope this helped you get the right answer
what is the following sum? 4(5rootx2y)+3(5rootx2y)
Answer: Choose which answer you think fits
Step-by-step explanation:
The roots are there to confuse you. They have the exact same numbers under the radical, so you can treat it like a variable and add 4 + 3 since theyre like terms.
[tex]7(5\sqrt{x2y} ) = 35\sqrt{x2y}[/tex]
If that's an x^2, bring the x out and keep the y inside the radical to get:
[tex]35x\sqrt{y}[/tex]
Can someone help me with the answer please
Answer:
D - x^2 + 9x +14
Step-by-step explanation:
I typed it into a problem solving website
HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.
Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.
Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}
Answer:
isD
Step-by-step explanation:
Answer:
D) {-1200 < p < 12,000}
Step-by-step explanation:
have a good day
answerr 5 & 6 pleaseee
Which unit is commonly used in both the Metric and the US Systems of Units?
A. hour
B. gallon
C. centimeter
D. kilogram
Answer:
calculator soup. com
Step-by-step explanation:
go to this site
Answer:
D kilogram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.
Round 1.029 to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
1.029 is closer to 1.03 than 1.02, so round it to 1.03.
Answer:
1.03
Step-by-step explanation:
-3x + 2c = -3, solve for x
Answer:
x=2c/3+1
Step-by-step explanation:
Subtract 2c from both sides.
−3x=−3−2c
The equation is in standard form.
−3x=−2c−3
Divide both sides by −3.
-3x/-3=-2c-3/-3
Dividing by −3 undoes the multiplication by −3.
x=-2c-3/-3
Divide −3−2c by −3.
x=2c/3+1
find the product using suitable properties a, 38 × 55 + (-45) ×38
Answer:
= 380
Step-by-step explanation:
(38*55) + (-45*38)
(2090) + (-1710)
2090 - 1710
= 380
what is 15 3/5 times 6
Answer: 93 3/5
Step-by-step explanation:
3/5 + 3/5 + 3/5 = 9/5
9/5 + 9/5 = 18/5 = 3 3/5
15 x 6 = 90
90 + 3 3/5 = 93 3/5
Let me know if this helped! :D
what is -4 7/8 × 2/3 =
Answer:
-13/4
Step-by-step explanation:
1.) convert to improper fraction.
-39/8 * 2/3
2.) multiply top
-39 * 3 = -117
3.) multiply bottom
8 * 3 = 24
4.) simplify
-117/24 = -13/4
10. State whether each statement is true or false.
Answer
False
True
False
what is the equation of the line passing through the points (3,6) and (2,10)
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
3= x1
2= x2
6= y1
10=y2
m=[tex]\frac{10-6}{2-3}[/tex]= [tex]\frac{4}{1}[/tex]= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
help please!! thanks :)
Answer:
I think it's B not sure though.
Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.
Yes, the shape I can onto shape II by a sequence of transformations.
Two images are given we have to determine that whether any of shape can onto other shapes.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The shape I can be mapped into shape II through a series of transformations.
The first sequence would involve translating shape I 8 units up and 4 units left, reflecting shape I across the x-axis, then rotating shape I 90 degrees counterclockwise about the origin.
Therefore, the shape I can onto shape II by a sequence of transformations.
Learn more about the graphs here:
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Solve the inequality. c + 5 ≥ 10
Answer:
c≥5
Step-by-step explanation:
hope that helps :)
465 is what percent of 750?
Answer:
62
Step-by-step explanation:
I dont understand can sombody solve this
Answer:
Option 1
Step-by-step explanation:
I found the exact moon graph on line . It says it is proportional because the line passes through the origin
In scientific notation, 76 000 = 7.6x 10".
n =
Answer:
4 :)
Step-by-step explanation:
4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y
Answer:
I notice that the first equation has a 7x, term and the second equation has a -7x term. These terms will cancel if we add the equations together—that is, we'll eliminate the the x terms:
Step-by-step explanation:
2y+7x= -5 + 5y-7x=12
Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.
Answer:
Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2.
lesser integer = 2n
Greater integer = 2n+2
If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;
2(less integer) = 2(greater integer) - 4
Substituting the given integers;
2(2n) = 2(2n+2)-4
2(2n) = 2[(2n+2)-2]
2n = 2n+2-2
2n = 2n
2 = 2
This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.
