Answers
Answer:
x > -20/7
Step-by-step explanation:
[tex]\frac{2x-4+5x}{8} > -3[/tex]
multiply both sides by 8 to remove the denominator
2x-4+5x > -24
7x - 4 > -24
add 4 to both sides to isolate the variable and its coefficient
7x > -20
divide both sides by 7 to isolate x
x > -20/7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2x - 4 + 5x}{8} > -3}[/tex]
[tex]\mathsf{= \dfrac{7}{8}x - \dfrac{1}{2} > -3}[/tex]
[tex]\text{Add } \rm{\dfrac{1}{2}\text{ to both sides of the equation}[/tex]
[tex]\mathsf{\dfrac{7}{8}x - \dfrac{1}{2} + \dfrac{1}{2} > -3 + \dfrac{1}{2}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{\dfrac{7}{8}x > -3 + \dfrac{1}{2}}[/tex]
[tex]\mathsf{\dfrac{7}{8}x > - \dfrac{5}{2}}[/tex]
[tex]\text{Multiply }\rm{\dfrac{8}{7}\text{ to both sides of the equation}[/tex]
[tex]\mathsf{\dfrac{8}{7}\times\dfrac{7}{8}x > \dfrac{8}{7} \times - \dfrac{5}{2}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{x > \dfrac{8}{7}\times -\dfrac{5}{2}}[/tex]
[tex]\mathsf{x > \dfrac{8\times -5}{7\times 2}}[/tex]
[tex]\mathsf{x > \dfrac{-40}{14}}[/tex]
[tex]\mathsf{x > \dfrac{-40\div 2}{14\div2}}[/tex]
[tex]\mathsf{x > -\dfrac{20}{7}}[/tex]
[tex]\mathsf{x > -2 \dfrac{6}{7}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x > -\dfrac{20}{7} \ or \ \mathsf{x > -2 \dfrac{6}{7}}}}\huge\checkmark[/tex]
[tex]\textsf{It is an o.p.e.n circle shaded to the right}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Related Questions
Will give brainliest!
Answers
B) x = 4
C) y = 4
D) y = -2
E) y = -3/4x + 1
Answer:
Step-by-step explanation:
Equation for line a:
x = - 4
Equation for line b:
x = 4
Equation for line c:
y = 4
Equation for line d:
y = - 2
Equation for line e:
y = − 0.75x + 1
help...........................
Answers
Answer:
Could you please repeat the question?
Answer:
Answer:
Step-by-step explanation:
What help!
Thanks for free points!
Have a nice day!
HELP WITH THIS QUESTION!!!
Answers
Answer:
- 1/x^18 y^3
Step-by-step explanation:
‘Basic exponent rules’ simplifying to a single power .
Answers
Answer:
64
Step-by-step explanation:
Does anyone know how to solve this?
Answers
Answer:
A point in polar coordinates is written as (R, θ)
If we want to transform this point to rectangular coordinates, we get:
x = R*cos(θ)
y = R*sin(θ)
Now we can remember that the sine and cosine functions have a period of 2*pi, then:
cos(θ) = cos(θ + 2*pi)
or:
cos(θ) = cos(θ + 2*pi + 2*pi)
and so on.
Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))
where k can be any integer number.
Then if we have a point in polar coordinates:
(-4, -5*π/3)
Then another two polar representations of this point are:
(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)
Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]
For example, if we have:
(-4, π/3 + 2*π) = (-4, 7*π/3)
And we can not change the value of the radius and get the coordinates for the same point.
So another representation could be something like:
(-8/2, π/3)
Where i just wrote -4 in another way.
Now, a really important point.
When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10
Answers
Select the correct answer.
A ball is thrown up from a height of 400 feet, and the height (in feet) of the ball at any time t, in seconds, is given by the function shown below.
[tex]h(t)=-16t^{2}+400[/tex]
Find the equation for the axis of symmetry of the given function.
A.
t = 0
B.
t = 5
C.
t = 6
D.
t = 4
Answers
Answer:
A
Step-by-step explanation:
Because i took the the test
Help please
|2x + 5| = 11
Answers
Step-by-step explanation:
[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]
3/1 + 1/3
What is the answer to this?
Answers
Answer:
10/3, or 3 1/3.
Step-by-step explanation:
3/1 + 1/3
3 + 1/3
9+1/3
10/3, or 3 1/3.
Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)
wrong answers reported
Answers
Answer:
27p+54
Step-by-step explanation:
Multiply 9 to all the numbers inside the parenthesis!
Hope this helps! :)
GIVING 10 POINTS
PLEASE HELP!
What does it mean when two expressions are equivalent?
Answers
Answer:
When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!
There are 21 animals living in the barn. Some are chickens and some are horses. There are 46 legs in all. How many chickens and how many horses are in the barn?
Answers
Answer:
7 horses,and 6 chickens
A ball falls from the top of a building. When it strikes the ground its velocity is 10 m/s. It took 5 seconds to fall. What is its acceleration? _____ m/s2
Answers
Answer:
a = 2 m/s²
Step-by-step explanation:
[tex]a = \frac{v-u}{t}[/tex]
where v is the final velocity, u is the initial velocity, and t is the time it takes. the intial velocity is always 0 m/s. given the equation, we subsitute:
[tex]a = \frac{10m/s - 0 m/s}{5s}[/tex]
a = 10m/s ÷ 5s
a = 2 m/s²
6w= 12+6w divided by 2
Answers
Answer:
12w=12 divided by 2
12w=6
=2
Step-by-step explanation:
the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?
Answers
Answer:
(3,1)
Step-by-step explanation:
If you plot both of the points on a graph you get another straight line.
When you connect the dots you get 3,1 as the midpoint of the two segments :))
que es la radicasion
Answers
Answer:
La radicación es la operación inversa a la potenciación. Y consiste en que dados dos números, llamados radicando e índice, hallar un tercero, llamado raíz, tal que, elevado al índice, sea igual al radicando. En la raíz cuadrada el índice es 2, aunque en este caso se omite.
12-b=12.5. Solve each equation
Answers
Explanation: 12.5-12=0.5
Shahida is 21 years old and Nasreen is 15 years old to Shahida after how many years will Shahida be twice as old as nasreen
Answers
Answer:
27 years
Step-by-step explanation:
21 × 2 = 42
42 - 15 = 27
Fay has a lemonade stand.
She spends £42 on ingredients.
She sells each glass of lemonade for £1.20.
If she sells 50 glasses of lemonade, what is her total profit?
Answers
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3
Answer:
she made a profit of 18$
50*1.2=60-42=18
Step-by-step explanation:
if the diagonal of the square is 8 feet what is the area of the square
Answers
Answer:
32
Step-by-step explanation:
You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.
a²+b²=c²
If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:
a²+b²=8²
a²+b²=64
Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.
a²+a²=64
simplify: 2a²=64
divide both sides by 2: a²= 32
square root both sides: a = [tex]\sqrt{32}[/tex]
then you know the length of each side is [tex]\sqrt{32}[/tex]
to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:
[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.
The midpoint of AB is M(-3,-3). If the coordinates of A are (-5, -1), what are
the coordinates of B?
Answers
Answer:
The coordinates of B are (-1, -5).
Step-by-step explanation:
Since the x-coodinate of M is 2 greater than that of B (note that -3 = -5 + 2), the x-coordinate of B is found by adding 2 to -3, obtaining -1. The y-coordinate of M is -3, which is 2 less than the y-coordinate of A; Thus, the y-coordinate of B is 2 less than -3, that is, -5.
The coordinates of B are (-1, -5).
A dress with a regular price of $60 is on sale for 20% off the regular price. Lisa has a coupon for an additional 10% off the sale price. What is the price of the dress after the discount for the coupon?
Answers
Answer:
It is $42
if I am wrong then let me know so I can recheck my work
Answer:
$42
Step-by-step explanation:
20+10=30%
60*0.3=18
60-18=42
2hours 24mins in fraction
Answers
Answer:
2 2/5
Step-by-step explanation:
2 24/60 = 2 2/5
there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5
only 10-11 please, giving brainliest!
Answers
Y +8
1/1
11) X + 2
Y + 2
1
I don’t know how u want the answer
Brandy has 8 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Brandy give candy?
Answers
please help!!
List the temperatures shown on the table in order
from least to greatest:
Temperature (°F)
Thursday
-8
Friday
7
Saturday
18
Sunday
-11
Answers
sunday: -11
thursday: -8
friday: 7
saturday: 18
Which of the following best describes the equation below?
y = -3x - 13
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear
Answers
Answer:
d. linear
Step-by-step explanation:
using the format y=mx+b
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution of the equation?
(its in the attachment)
Thank u lovely
Answers
Step-by-step explanation:
This is a edit. The answer is 30. Brainly won't save my work.
[tex]3 \sqrt[5]{ {(x + 2)}^{3} } + 3 =27 \\3 \sqrt[5]{ {(x + 2)}^{3} } =24 \\ \sqrt[5]{ {(x + 2)}^{3} } = 8 \\ {(x + 2)}^{3} = {8}^{5} \\( x + 2) = \sqrt[3]{ {8}^{5} } \\ ( x + 2) = 32 \\ x = 30[/tex]
wouldnt x+x be 2x thanks
Answers
Answer:
Wym?
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I'll answer it on the comment or are u just playing?
can someone solve this
Answers
hope this helps !