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:
HELP PLSSS ASAPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s 75
Step-by-step explanation:
Which describes the graph of y=(x-5)^2 -4
Answer:
Use semi-log paper for plotting Y = log y instead of y against x.
The graph is the straight line Y = (log 2) x + log 5.
Explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.
Step-by-step explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y
Answer:
Opens up with a vertex at (5,-4)
Step-by-step explanation:
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
How do you calculate (2x-5)^2
I need help with this question.
|y + 4| < 1 solve
Answer:
-5<y<-3
Step-by-step explanation:
3. Samuel tiene 11 cajas con mosaicos cuadrados de 20 cm por
lado y quiere cubrir una pared que mide 3 m de largo y 2 m
de alto. Si en cada caja hay 14 mosaicos, éserá necesario que
compre más cajas?
Matemáticas
Answer:
Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.
La pared es de 3m por 2m.
Entonces el area es:
A = 3m*¨2m = 6m^2.
Ahora veamos los mosaicos.
Cada mosaico es un cuadrado de 20cm por 20cm.
El primer paso sería cambiar las unidades para tener metros aca también.
1cm = 0.01m
entonces.
20cm = 20*0.01m = 0.2m.
Entonces cada mosaico es:
0.2m por 0.2m
El área de cada mosaico es:
a = 0.2m*0.2m = 0.04m^2.
En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:
14*0.04m^2 = 0.56m^2.
Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:
11*0.56m^2 = 6.16m^2.
Y el área de la pared es 6m^2.
6.16m^2 > 6m^2
Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.
Entonces Samuel no debe comprar mas cajas.
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?
Answer:
5mph faster
Step-by-step explanation:
Kayla is going 48 mph because 144/3 is 48
Kendra is going 53mph because 224/4 is 53
53-48=5
8 miles/hour Kendra drives faster than Kayla.
Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.
We need to find out how much faster Kendra drive on average.
How to calculate the speed?The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Now, the speed of Kayla=144/3 = 48 miles/hour
The speed of Kendra=224/4 = 56 miles/hour
So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.
Therefore, 8 miles/hour Kendra drives faster than Kayla.
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Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
CAN SOMEONE HELP ME PLEASE ?!
Answer:
A. XY
Step-by-step explanation:
The answer is XY because it is the same length as XZ. I didn't determine this by guessing, but by eliminating the wrong answer choices. The tick marks indicate what lines are congruent to each other. The answer can't be C because AY is congruent to YC since they both have 3 tick marks, indicating that they are congruent to each other. Same goes for the others.
What number would go in the blank? (3 • 5) • 2 = 3• C • 2)
Answer:
its 5
Step-by-step explanation:
(71 +29) x 26
HAKSJA HELP RN
Answer:
2600
Step-by-step explanation:
(71+29) * 26
(100) * 26
2600
Answer:
2600
Step-by-step explanation:
Step 1:
First, following the order of operations, you have to do what is in the parentheses.
71+29
The sum of those numbers would be 100
Step 2:
Finally, you multiply 100 with 26
100·26
Which is 2600.
An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average?
Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation:
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
Is this a function or Not function? How do you know?
Answer:
No
Step-by-step explanation: because multiple points have the same x value and it fail the vertical line test
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
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A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400
Answer:
D. 6,400
Step-by-step explanation:
I got it right
The fish population at the beginning of 2012 is 100.
GivenA fish population, p, can be represented by the equation;
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]
Where t is time in years since the beginning of 2015.
How to determine the population at the beginning of 2012?The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.
The difference between year 2015 and 2012 is;
t = 2015 - 2012 = 3
Substitute the value of t in the equation
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]
Hence, the fish population at the beginning of 2012 is 100.
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A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
HURRY PLEASE!! I’ll mark you as brainliest
The water level in a storage tank is 14 feet. Water
is released at a constant rate until the tank is
empty. The graph below shows the water level (y)
in the tank, as a function of time (x).
which of these equations represents the relationship between time and the water level?
A. Y= -2x+14
B. Y= -2x-14
C. Y= 2x +14
D. Y=2x-14
equations represent the relationship between time and the water level is A. Y= -2x+14
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, The water level in a storage tank is 14 feet. Water is released at a constant rate until the tank is empty. The graph below shows the water level (y) in the tank, as a function of time (x).
Since at strat x =0, the value of y = 14 and at end y=0 the value of x is 7 hours.
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept(where x is 0)
since, slope = (y - y')/(x -x')
In our case,
m = (14 /-7
m = -2
and b = 14
thus,
equation of line will be:
y = -2x + 14
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The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.
Answer:
The radius of the track is 32 meters
Step-by-step explanation:
Circumference
The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.
Given a circle of radius r, the circumference of the circle can be calculated as follows:
[tex]L=2\pi r[/tex]
If we already know the length of the circle, we can solve the above expression for r:
[tex]\displaystyle r=\frac{L}{2\pi}[/tex]
The distance given around a circular running track is L=200 m, thus:
[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]
Rounding to the nearest meter:
r= 32 meters
The radius of the track is 32 meters
rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour
Answer:
She could walk 3.75 miles in an hour.
graph y=1/2x+2 please explain
Answer:
Step-by-step explanation:
y=1/2x+2
1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases
so the slope increase 1/2 +2
The graph of y=1/2x+2 is shown in figure below
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y=1/2x+2
Here, 1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases;
Hence, the slope increase 1/2 +2
The graph of the given function;
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Please just do whatever you can
1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers
Answer:
7/6x3/7===21/42=== 1/2
Step-by-step explanation:
how do you factor p^2-5p-36
Your answer will be:
(p - 9) (p + 4) in factored form.
Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y
Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
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7^(? )x (7^(5))^(4 )= 7^(34 ) find the missing exponent
n = 14
Step-by-step explanation:Hi there !
7ⁿₓ7⁵⁾⁴ = 7³⁴
7ⁿₓ7⁵ˣ⁴ = 7³⁴
7ⁿₓ7²⁰ = 7³⁴
n + 20 = 34
n = 34 -20
n = 14
Good luck !
Answer:
n = 14
Step-by-step explanation:
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which ordered pair is the solution to y=x+2/5
Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE