Solve the inequality: -6n - 12 >= 3(-n + 12)
Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
+6n +6n
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
-36 -36
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
/3 /3
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
Solve the inequality 2x-8 ≤ 14 and graph its solutions on the number line.
Answer:
Step-by-step explanation:
2x-8 ≤ 14
1. Add 8 to both sides of the inequality sign to move the 8 from the left side to the right side.
2x ≤ 22
2. Divide both sides by 2 to get the x alone.
x ≤ 11
3. Make a number line from 8 to 13 (numbers can be changed), draw a circle above the number 11 and fill in the circle.
4. Now, make a line going from the circle to the left and draw an arrow at the end.
prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daughter find what part of his property was given to son and daughter
Given parameters:
Fraction given to charity = [tex]\frac{1}{3}[/tex]
Fraction given to wife = [tex]\frac{2}{3}[/tex]
Unknown:
Fraction given to son and daughter =?
Solution:
Let the total property = x
Fraction given to charity = [tex]\frac{1}{3} x[/tex]
Fraction given to wife = [tex]\frac{2}{3} x[/tex]
The remaining was given to son and daughter = F
So;
Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter
x = [tex]\frac{1}{3} x + \frac{2}{3} x + F[/tex]
F = x - ([tex]\frac{1}{3} x + \frac{2}{3} x[/tex])
F = 0
The son and daughter will not inherit anything
How many times smaller is 4 × 10-7 than 8 × 10-3?
41 divided by 100 as a fraction
Answer:
41/100 is 41/100 because it is in lowest term and it can't be expressed in lower term than 41/100
Ranjit wants to measure the length of a table, but has no ruler or
tape measure. Using what he has at hand, he finds that the table is
about as long as 6 unsharpened pencils laid tip to tip. If each
unsharpened pencil measures 18 centimeters in length, what is the
length of the table, in centimeters?
9514 1404 393
Answer:
108 cm
Step-by-step explanation:
6 pencil-lengths will be ...
6 × 18 cm = 108 cm
The length of the table is 108 cm.
Answer:
108 cm
Step-by-step explanation:
6 pencil-lengths will be
6 × 18 cm = 108 cm
The length of the table is 108 cm
What is 0.6 divided by 345?
Answer:
its undefined
Step-by-step explanation:
Answer:
.00173913
Step-by-step explanation:
find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?
Answer:
7ab^4
Step-by-step explanation:
all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.
that should be correct and hope this helps!
while remodeling his kitchen, Arthur paints the cabinets. he estimates that he paints 30 square feet every 20 minutes. how many square feet does arthur paint per hour
Answer:
90 square feet per hour
Write the decimal 5.666… as a mixed number in simplest form.
Answer:
5 2/3
Step-by-step explanation:
The decimal of .6 repeating is a common fraction that represents 2/3.
To write that in a mixed number is to put the whole number out front and the fraction afterward.
Answer:
The answer is 5 2/3
Given that the polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of f(x)?
Answer:
the degree of f(x) is 3
Step-by-step explanation:
fundamental theorem of algebra
The degree of function f(x) is at least 3.
How to determine the number of root from the number of intercepts of the function?The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.
And as we know if the degree of the function is n then the number of roots of the function is n.
So, if the function has n intercepts, then the function has at least n degrees.
Here given that the polynomial function f(x) has 3 intercepts.
Then from above, it is clear that the function will have at least 3 roots.
And the function will have at least 3 degrees.
Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.
Learn more about the degree of function
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what is 1.8399 rounded to the nearest tenth
Answer:
1.8400
Step-by-step explanation:
Which ordered pairs are solutions to the inequality 4x+y>-6
Answer:
(-1.5, 0) and (0, -6)
Step-by-step explanation:
Answer:
-1, -1
Step-by-step explanation:
hope this helped
(2x + 3) (2 - 8) = 0,
Step-by-step explanation:
(2x + 3) (2-8)=0
2x( 2-8)+3(2-8)= 0
4x - 16x + 6 - 24 = 0
-12x - 18= 0
-12x= 18
x= -18/12
x = - 3/2
7-14m=2m=5 please help
Answer:
M=1/6
Step-by-step explanation:
Jordan has a garden that is enclosed by a rectangular fence. The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of Jordan's garden?
Answer:
504 ft
Step-by-step explanation:
Perimeter = 2(width) + 2(length)
Convert yards to feet
1yard=3feet
8yards=?
8*3/1 = 24feet
84 = 2(w) + 2(24)
84 = 2w + 42
84 - 42 = 2w
42 = 2w
w = 21
Area = 1 * w
= 21 * 24
= 504 ft
What number is 1% of 37.25
Answer:
1% of 37.25=0.3725
HELPPP PLZ!!!
Can you help me solve this, TYSM
Mr. George has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, the new balance is (with full method pls)
Answer:
$-36
Step-by-step explanation:
-42+6
-36
The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42
Find the constant of proportionality and write an equation for the relationship.
Answer:
I have no clue but i have an examm sorry
Step-by-step explanation:
Can I get the answer?
Answer:1 by the 2
Step-by-step explanation:Good job
If you were to rotate the point (-5,8) around the origin 270 degrees counterclockwise what would the new coordinates be?
Answer:
5,8
Step-by-step explanation:
A point (-5,8) rotated around the origin 270 degrees counterclockwise will have coordinates (-8, -5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know when we rotate a point counter-clockwise the coordinates (x, y) becomes (-y, x).
Given, A point (-5,8) around the origin 270 degrees counterclockwise.
∴ The new coordinates of the points will be (-8, -5).
learn more about translation here :
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Help please! I just don’t understand
===================================================
Work Shown:
(angle HID) + (angle DIJ) = angle HIJ
(100) + (8x+11) = 21x+7
100+8x+11 = 21x+7
8x+111 = 21x+7
111-7 = 21x-8x
104 = 13x
13x = 104
x = 104/13
x = 8
Use this x value to find angle HIJ
angle HIJ = 21x+7
angle HIJ = 21*8+7
angle HIJ = 175 degrees
---------------------------
Extra info:
You can also use that x value to find angle DIJ
angle DIJ = 8x+11
angle DIJ = 8*8+11
angle DIJ = 75
Then add this to angle HID to get
angle HID + angle DIJ = 100+75 = 175
This matches with angle HIJ = 175
So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.
Line Z Y also contains points E and G. A line is drawn from point E to point F, and then to point X. Another line is drawn from F to G to form triangle E F G.
Which statements regarding the diagram are true? Check all that apply.
∠XFG is an interior angle of ΔEFG.
∠EFG is an interior angle of ΔEFG.
∠FEZ is an exterior angle of ΔEFG.
∠YGE is an exterior angle of ΔEFG.
∠EGF and ∠FGY are supplementary angles.
∠FEG and ∠FGE are supplementary angles.
Answer:
B) ∠EFG is an interior angle of ΔEFG.
C) ∠FEZ is an exterior angle of ΔEFG.
E) ∠EGF and ∠FGY are supplementary angles.
Step-by-step explanation:
EDG 2020
Answer:
B) ∠EFG is an interior angle of ΔEFG.
C) ∠FEZ is an exterior angle of ΔEFG.
E) ∠EGF and ∠FGY are supplementary angles.
Step-by-step explanation:
person above me is correct!
For f(x) = 2x + 1 and g(x) = x^2 - 7, find (f * g)(2)
Answer: x= -5
Step-by-step explanation: Plug 2 into g(x). Plug that answer into f(x).
What is the additive inverse of the number 3?
3
0
-3
6
Answer:
-3
Step-by-step explanation:
The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.
Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)
Just keep in mind that finding it's additive inverse is usually the best way to do it.
Here are some ways to negate a number:
Zero subtracted by the number. (0 - n) not (n - 0).Multiplying or dividing the number by negative one. (n / -1 or n × -1)Subtracting a number by the second multiple of itself. (n - 2n) not (2n - n).________________________________
Read where it says Let C be
Thank you for helping me
Answer:
v=8
Step-by-step explanation:
(5,7) (8,13) find the distance between each pair of point . round to the nearest tenth
Answer:
The distance would be 6.7 or 3✓5
Step-by-step explanation:
Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.
First things first we can use the equation
d=✓(X2-X1)*2+(Y2-Y1)*2
X2= 8
X1= 5
Y2= 13
Y1= 7
From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.
From here you square the 3 to get 9. You also do the same to the right side of the equation.
Now you have d=✓(3)*2 + (6)*2
From here you square it and you get d=✓9+36
Now we have: d✓45
Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!
Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)
Answer:
the distance would be 6.7
Step-by-step explanation:
Solve for [tex]$\abs{5p+2}\ \textless \ -4$ .[/tex]
Hint: There should be two answers, please list both of them.