Answer:
-6 < x < 2
Step-by-step explanation:
-2|2x+4|+10>-6
Subtract 10 from each side
-2|2x+4|+10-10>-6-10
-2|2x+4|>-16
Divide by -2, remembering to flip the inequality
-2/-2|2x+4|>-16/-2
|2x+4|<8
We have two solutions, one positive and one negative( remember to flip the inequality)
2x+4 < 8 and 2x+4 > -8
Subtract 4 from each side
2x+4-4 < 8-4 and 2x+4-4 > -8-4
2x < 4 and 2x > -12
Divide by 2
2x/2 < 4/2 and 2x/2 > -12/2
x <2 and x > -6
-6 < x < 2
Answer:
x<2 and x>-6
Step-by-step explanation:
First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.
-2|2x+4|+10>-6
-10 -10
-2|2x+4|>-16
Now, divide by -2 on both sides.
-2|2x+4|>-16
/-2 /-2
|2x+4|<8
Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.
|2x+4|<8 and |2x+4|>-8
-4 -4 -4 -4
2x<4 2x>-12
/2 /2 /2 /2
x<2 and x>-6
I hope this helps you out!!! Have an amazing day C:
How does knowing some constructions help you do other, more complicated constructions
Answer:
the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Using cosine we have[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Hope this helps you
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
168 stickers for 24 students unit rate
Answer:
89/12
Step-by-step explanation:
Answer: The unit rate is 7 stickers per student!
Step-by-step explanation: This can be found by dividing the amount of stickers by the amount of students.
Hope this helps, if not, comment down below please!!!
Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters
Answer:
He is 182.88 cm tall
Step-by-step explanation:
6×12= 72
72×2.54= 182.88
Which pair of lines are perpendicular
Answer:
D
Step-by-step explanation:
Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!
Answer:
-8<y≤-7
.Step-by-step explanation:
7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.
For f(x)=3x+1 and g(x)=x^2-6, find (fxg)(x).
3x^2-17
4x^2-6x-8
3x^3+x^2-18x-6
3x^3+x^2-6x-6
Answer:
3x+1+x^2-6
Step-by-step explanation:
(fxg)(x)= 3x+1+x^2-6
f(x) is = to 3x+1
and g(x) is = to x^2-6
so the answer would be 3x+1+x^2-6!
y−1=−2(x−2) in slope intercept form
Answer:
[tex]y = - 2x + 5[/tex]
Step-by-step explanation:
Simply simplify the equation from what it is to the slope intercept format:
[tex]y = mx + b[/tex]
Step-by-step explanation:
Hey there!
We know;
The slope intercept form of equation is;
y = mx+c
So, let's try to take it in this form.
(y-1) = -2(x-2)
Multiply -2 and (x-2)
(y-1) = -2x + 4
Take '-1' to right side.
y = -2x+4+1
y = -2x+5
Therefore, the equation is y = -2x+5.
Hope it helps...
f(x)=-4x+2 find f(x) when x=1
Answer:
6
Step-by-step explanation:
plug in 1 for where it says x and you would get 6
8x-13+4+1=90 helppppppp
Answer:
x = 49/4
Step-by-step explanation:
Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?
Answer:
rate of Tyler = 8.4 Km/hour
rate of Kiran = 6.3 Km/hour
rate of Mai = 8.5 Km/hour
Step-by-step explanation:
Rate is the speed with which each ran
speed = total distance covered/total time taken to cover that distance
we will use unit km/hour for speed calculation
_____________________________________________________________
For Tyler
distance = 4200 m
1000 m = 1 km
4200 m = 1/1000 *4200 km = 4.2 KM
time = 30 minutes
60 mins = 1 hour
30 minutes = 1/60 *30 hour = 0.5 hours
thus,
speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour
_____________________________________________________
For Kiran
distance = 6300 m
1000 m = 1 km
6300 m = 1/1000 *6300 km = 6.3 Km
time = 1 hour
thus,
speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour
_____________________________________________________
For Mai
distance = 6.3 Km
time = 45 minutes
60 mins = 1 hour
45 minutes = 1/60 *45 hour = 0.75 hours
thus,
speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour
A-5-B when A=9 and B=-4
Answer:
8
Step-by-step explanation:
(Refer to picture)
Plug in the value of A and the value of B into the expression
Lemme put y’all on this app called Cymath. It answers the questions and explains the steps
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer:
4860000
Step-by-step explanation:
just multiple the interest by monthly payment and then by 30
A package of candy contains 8 mini candy bars. The cost of the package is $2. What is the unit price?
Answer:
16 8 * 2 = 16 <3
Step-by-step explanation:
A truck can be rented from Company A for $160 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
la respuesta correcta es $123.222per mile
Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.
Step-by-step explanation:
Step 1
Let us write the rental cost with each company:
Company A , they will charge =$160 +$ 0.40x
Company B, They will charge = $80 + $0.90x
Where x =number of miles travelled
Step 2
we then find the number of miles in a day at which the rental costs for Company A and Company B will be the same by equating both equations and solving for x
160 + 0.40x= 80 + 0.90x
160-80 = 0.90x-0.40x
80= 0.50x
x= 80/0.5
x= 160
Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.
Hi guys what is 6 divided by 2(1+2 )
Answer:
0
Step-by-step explanation:
1+2 = 3
3x2 = 6
6divdedby6= 0
Please help!!!! thank youuuu
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
Which equation best represents the graph shown above
Answer:
Its y=-2(x-1)^2+6
Step-by-step explanation:
least to greatest 8/9 6/9 5/9 7/9
Answer:
5/9 6/9 7/9 8/9
Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the
diameter of the artery is 2.7 mm, what is the diameter on the model?
HELP PLS
Answer:
Step-by-step explanation:
Answer:
The answer is 9 cm
Step By Step Explanation
What is the equation of the line that is perpendicular to y = -x + 4 and passes through
the point (-1, 3)?
Answer:
Try y=x²+4
Step-by-step explanation:
y=-x+4
when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this
y-3=x(x- -1)
y-3=x²+1
+3 +3
__________
y=x²+4
is -7.8 an irrational number
Answer:
No.
Step-by-step explanation:
An irrational number has never-ending decimals.
A rational number can be written as a fraction or has a terminating decimal.
-7.8 can be rewritten into a fraction. Its decimal also terminates. Therefore, it is not irrational but rational.
Answer:
-7.8 is rational
Step-by-step explanation:
irrational numbers are nubers that repaet random numbers that you wont know what comes next like pi or the squar root of 2. hope this halps and can you take in consideration of giving me a brainliest? Thank you
Not sure how to do this
what is the explicit formula for this sequence? -8, -3, 2, 7
Answer:
an+9n-11
Step-by-step explanation:
Gianna is paid $90 for 5 hours of work.
a. At this rate, how much would Gianna make for 8 hours of work?
b. At this rate, how long would Gianna have to work to make $600?
Use a ratio table to solve.
Answer:
a. $144
b. about 34 hours
Step-by-step explanation:
If Gianna is paid $90 dollars for 5 hours of work, that means that she is paid $18 an hour. So, 18x33 is 594, which means that 18x34 is $612.
Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have?
Answer:
Dylan can plant maximum 8 plants.
Number of marigolds in each flower box [tex]=8[/tex]
Number of periwinkles in each flower box [tex]=9[/tex]
Step-by-step explanation:
Number of marigolds = 64
Number of periwinkles = 72
To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.
[tex]64=2^6\\72=2^3\,\,3^2[/tex]
So,
H.C.F(64, 72) = [tex]2^3=8[/tex]
That is Dylan can plant maximum 8 plants.
Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]
Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]