entered :
-|3x-9|+2=-4
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-|3x-9|+2 = -4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
|3x-9| = 6
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |3x-9|
For the Negative case we'll use -(3x-9)
For the Positive case we'll use (3x-9)
STEP
3
:
Solve the Negative Case
-(3x-9) = 6
Multiply
-3x+9 = 6
Rearrange and Add up
-3x = -3
Divide both sides by 3
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(3x-9) = 6
Rearrange and Add up
3x = 15
Divide both sides by 3
x = 5
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=1
x=5
I hope this help you
Answer: x= 1, 5
Step-by-step explanation:
First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.
Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.
Because of this, you create two equations; 3x-9=6, and 3x-9=-6.
For the first equation, add 9 to 6 and divide that by 3 to get x=5.
For the second equation, add 9 to -6 and divide that by 5 to get x=1.
In the diagram, m Find m
Step-by-step explanation:
where is the diagram first you have to show figure then I will find m
can u guys help 100pts
Answer:
1 line
Step-by-step explanation:
1 line
Answer:
1 line
Step-by-step explanation:
if - 48 = 6(a), then a =
Answer:
-8
Step-by-step explanation:
-48 = 6 x -8
-8 x 6 = -48
CHOW Y'all,...!!!
What is 2 3/7 (mixed fraction) in proper fraction?
Answer:
17/7
Step-by-step explanation:
You got to multiply 7 and 2 by doing so you will get 14 and you need to add 14 and 3 and you will get 17.
So yeah I hope it helps....
Which is the graph of y = -3?
WILL GIVE BRAINLIEST
Answer:
Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.
Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5
Step-by-step explanation:
In point slope form the slope and y-intercept can be read directly from the equation.
y = mx + b where m is the slope and b is the y-intercept.
Write down the pair of integers whose:
(a) Sum is -4 (b) Sum is 0
(c) Difference is 2 (d) Difference is -6
Step-by-step explanation:
(a) Sum is -4
4 + (-8)
4 - 8
-4
(b) Sum is 0
1 + (-1)
1 - 1
0
(c) Difference is 2
10 - 8
2
(d) Difference is -6
10 - 16
-6
Answer:
A: x+y=-4
B: x+y=0
C: x-y=2
D: x-y=-6
Step-by-step explanation:
On a and b, we are adding 2 unknown values, so we have x+y=-4 for a and x+y=0 for b. On c and d, we are subtracting 2 unknown values, so we have x-y=2 for c and x-y=-6 for d
The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total.
Answer:
84:56, I think?
3 x 28 for the boys then minus 28 for the girls
what is 11,832 ÷ (-58 )?
The answer to the question is -204.
help me plssssssssssssssssssssssssssssss
Answer:
n = -15
Step-by-step explanation:
31 - 12n - 31 = 211 - 31
-12n = 180
Divide both sides by -12
n = -15
Answer:
n = - 15
Step-by-step explanation:
31 - 12n = 211
-first get rid of 31 by subtracting
31 - 12n = 211
-31 -31
= =
0 180
-12n=180
divide 12
-12n=180
----- ------
-12 -12
= =
0 -15
n=-15
What is the length of a line segment that connects the points located at coordinates (12,-22) and (8,-30)? Do not round answer. (leave as a square root)
Step-by-step explanation:
[tex]\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5[/tex]
Help please!!!!!!!!!!!
Jina, Chang, and Kevin sent a total of 130 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Kevin.
Kevin sent 5 fewer messages than Jina. How many messages did they each send?
Answer:
Let the no. of messages Jina send be x.
No. of messages Kevin send=x-5
No. of messages Chang send=3(x-5)
=3x-15
x+(x-5)+(3x-15)=130
x+x-5+3x-15=130
x+x+3x-5-15=130
5x-20=130
5x=130+20
=150
x=150÷5
=30
No. of messages Jina sent=30
No. of messages Kevin sent=30-5
=25
No. of messages Chang sent=3(30)-15
=90-15
=75
What is the equation of the line that passes through the point ( -4, 2) and has a
slope of
-2?
Answer:
The equation is: y = -2x -6
Step-by-step explanation:
We have the slope which is - 2. This the main form of a straight line equation is: y = mx + c
y = y point (2)
m = slope (-2)
x = x point (-4)
c = constant - this you need to work out!
Firstly we arrange the equation: y = mx + c
We substitute or replace what we already know into this equation. It is like building a puzzle and only the last piece is unknown and we are trying to make this last piece fit into this puzzle.
The only thing we don't know is what c equals to. After substituting, we get
y = -2x + c.
We can further substitute x and y which is the point (-4;2), we then get:
2 = - 2(- 4) + C
and by using simple math by taking the
- 2(- 4) (which equals to +8, since multiplying 2 negative numbers give you a positive number) to the other side which becomes negative, will give you c = - 6.
Then sub C into the equation.
Hope this helps. :)
-5(-3x+10)=30 what is x
Answer:
5.33333333...
Step-by-step explanation:
it will be like -5 out the bracket x - 3 x which gives you 15 then we'll check again - 5 then you times it by there 10 in the bracket and then it gives you 50 and then it will be there in 15 x - 50 equals to 30 then you take the -50 to the other side where there is 30
then it will be 15 x equals to 30 + 50 and then then 15 x equals to 8 and then you divide both of the sides with 15 then get your answer
-5 (-3x+10)=30
15x-50=30
15x=30+50
15x/15=80/15
x=5.33333...
Write an equation for each sentence and then solve.
The sum of two consecutive even numbers is thirty-four.
What are the numbers?
Answer:
Step-by-step explanation:
Let the two consecutive numbers be 2n and 2n+2
The sum of these numbers in 2n + (2n+2).
Hence
2n + (2n+2) = 34
4n + 2 = 34
4n = 32
n =8.
heyy can someone help and explain how they got their answer? I need it for homework thank you v much and for ur help <33
problem:
20.55 divided by 1.5
1 Shift the decimals of both 20.55 and 1.5 to the right by 1 decimal place. (This is needed to convert 1.5 to 15, since long division must divide by a whole number.)
205.5
÷
15
205.5÷15
2 Use the algorithm method.
1 3 . 7
1 5 | 2 0 5 . 5
1 5
5 5 .
4 5 .
1 0 . 5
1 0 . 5
3 Therefore,
20.55
÷
1.5
=
13.7
20.55÷1.5=13.7.
13.7
13.7
I hope this help you
a square room has an area of 200 square feet. how long is each wall? show your work to explain why
Answer:
about 14.142ft
Step-by-step explanation:
A square has four equal sides.
The area of a square: length * width = area
Because you know that all of the sides are equal, you can just say:
length * length = area
Multiplying a value (in this case, length) by itself is the same thing as squaring it. So, you can simplify the equation further by writing:
length² = area
Fill in what you know:
length² = 200ft²
Now, work the problem backwards by taking the square root of 200 to find the length:
√length² = √200ft²
length = 14.142ft
So, each wall is 14.142ft long
You can test this by working the problem in reverse:
14.142ft * 14.142ft ≈ 200ft²
solve the eqaution x=(4)/(3)\pi r^(3) for r
Answer:
B. [tex]r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}[/tex]
Step-by-step explanation:
Hi there!
[tex]x=\displaystyle\frac{4}{3} \pi r^3[/tex]
Multiply both sides by 3/4:
[tex]\displaystyle\frac{3x}{4}= \pi r^3[/tex]
Divide both sides by π:
[tex]\displaystyle\frac{3x}{4\pi}=r^3[/tex]
Take the cube root of both sides:
[tex]\sqrt[3]{\displaystyle\frac{3x}{4\pi}} =r\\\\r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}[/tex]
I hope this helps!
Pls I need help fast
Answer: x = -2
Step-by-step explanation:
-6x = 5x + 22
-11x = 22
x = -2
[LOOK AT THE PICTURE]
I can't understand why it can be written as
[tex] \frac{1}{2} {x}^{ \frac{1}{2} - 1} [/tex]
PLS ANS CLEARLY
The rule is
[tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]
which is the power rule. You pull down the exponent to place it as the coefficient. So that explains the 1/2 pull out front. Then we subtract 1 from the exponent.
The expression you wrote can be simplified or rewritten like this
[tex]\frac{d}{dx}x^n = nx^{n-1}\\\\\frac{d}{dx}\left[x^{1/2}\right] = \frac{1}{2}x^{\frac{1}{2}-1}\\\\\frac{d}{dx}\left[x^{1/2}\right] = \frac{1}{2}x^{-\frac{1}{2}}\\\\\frac{d}{dx}\left[x^{1/2}\right] = \frac{1}{2}\frac{1}{x^{\frac{1}{2}}}\\\\\frac{d}{dx}\left[x^{1/2}\right] = \frac{1}{2x^{\frac{1}{2}}}\\\\\frac{d}{dx}\left[x^{1/2}\right] = \frac{1}{2\sqrt{x}}}\\\\[/tex]
Optionally, we can multiply top and bottom by [tex]\sqrt{x}[/tex] to rationalize the denominator.
If h(x)=x^2+3x-4 Find h(-4)
Answer: Pretty sure its h(-4) = -24
Step-by-step explanation:
h(x) = 2(x) + 3(x) - 4
h(-4) = 2(-4) + 3(-4) - 4
h(-4) = - 8 - 12- 4
h(-4) = -24
find the smallest value of k, such that 693k is a perfect cube.
Answer:
MGMHMHMHNHMMJMMMH
BSEHEJR
Answer:
[tex]\frac{8^3}{693}=\frac{512}{693}\quad \left(\mathrm{Decimal:\quad }\:0.73881\dots \right)[/tex]
Step-by-step explanation:
What is the answer to the following math question
Answer:
[tex]\frac{35}{18}[/tex]
Step-by-step explanation:
my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)
[tex]\frac{20}{20}[/tex] ..... the denominators will clear out leaving [tex]\frac{15 - 50}{12-30} = \frac{-35}{-18}[/tex]
= 35/18
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Simplify [tex]\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex]
The least common multiple of 4 and 2 is 4. Convert [tex]\sf\frac{3}{4} [/tex]and [tex]\sf\frac{5}{2} [/tex]to fractions with denominator 4.[tex] \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Because [tex]\sf\frac{3}{4} [/tex]and [tex]\sf \frac{10}{4}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Subtract 10 from 3 to get -7.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
The least common multiple of 5 and 2 is 10. Convert [tex]\sf\frac{3}{5}[/tex] and [tex]\sf \frac{3}{2}[/tex] to fractions with denominator 10.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ [/tex]
Because [tex]\sf \frac{6}{10}[/tex] and [tex]\sf \frac{15}{10}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ [/tex]
Subtract 15 from 6 to get -9.[tex] \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ [/tex]
Divide [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{9}{10}[/tex] by multiplying [tex]\sf-\frac{7}{4}[/tex] by the reciprocal of [tex]\sf-\frac{9}{10}[/tex].[tex] \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) [/tex]
Multiply [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{10}{9}[/tex] by multiplying the numerator by the numerator and the denominator by the denominator.[tex] \huge \sf\frac{-7\left(-10\right)}{4\times 9} [/tex]
Carry out the multiplications in the fraction [tex]\sf\frac{-7\left(-10\right)}{4\times 9}[/tex].[tex] \huge \sf\frac{70}{36} [/tex]
Reduce the fraction [tex]\sf\frac{70}{36}[/tex] to its lowest terms by extracting and cancelling out 2.[tex] \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}[/tex]
Adult humans have approximately 2.6 x 10 red blood cells and 3.92 x 10 white blood cells about how many times greater is the number of red blood cells than white blood cells
Answer:
The number of red blood cells is approximately [tex]660[/tex] times greater than white blood cells.
Step-by-step explanation:
Given:
Red blood cells [tex]$2.6 \times 10^{6} / \mathrm{mm}^{3}=2.600 .000 \times \mathrm{mm}^{3}$[/tex] White blood cells [tex]$3.92 \times 10^{3} / \mathrm{mm}^{3}=3.920 \times \mathrm{mm}^{3}$[/tex]To find how many times greater is the number of red blood cells than white blood cells
Divide the amount of the former between the second
[tex]=\frac{2,600.000}{3,920}[/tex]
[tex]=663.27[/tex]
≈ [tex]660[/tex]
Therefore, number of red blood cells is approximately [tex]660[/tex] times greater than white blood cells.
Learn more about blood cells, refer:
https://brainly.com/question/18635242https://brainly.com/question/12200034Answer:
a. 660
have a good day :)
Rewrite in factored form, do not solve
9x^2+21x-8=0
Answer:
(3 x - 1) (3 x + 8)
Step-by-step explanation:
Factor the following:
9 x^2 + 21 x - 8
Factor the quadratic 9 x^2 + 21 x - 8. The coefficient of x^2 is 9 and the constant term is -8. The product of 9 and -8 is -72. The factors of -72 which sum to 21 are -3 and 24. So 9 x^2 + 21 x - 8 = 9 x^2 + 24 x - 3 x - 8 = 8 (3 x - 1) + 3 x (3 x - 1):
8 (3 x - 1) + 3 x (3 x - 1)
Factor 3 x - 1 from 8 (3 x - 1) + 3 x (3 x - 1):
Answer: (3 x - 1) (3 x + 8)
Subtract -2x^2-4x+2 from -6x+2
Answer:
2x(x-1)
Step-by-step explanation:
-6x+2-(-2x^2-4x+2)
-6x+2+2x^2+4x-2
2x^2-6x+4x+2-2
2x^2-2x
2x(x-1)
Answer:
2x² - 2x
Step-by-step explanation:
- 6x + 2 - (- 2x² - 4x + 2) ← distribute parenthesis by - 1
= - 6x + 2 + 2x² + 4x - 2 ← collect like terms
= 2x² - 2x
what is the awnser to1.020___1.200? greater than less than or equal to i forgot
Answer:
1.020 < 1.200
= <
Step-by-step explanation:
If you look at 1.020 like 1.02 and 1.200 like 1.2, 1.2 is more and the 2 in 1.200 is in the tenths place.
How much do $10 pieces of candy cost if 1000 pieces cost $20
Answer:
50 pcs
Step-by-step explanation:
say
1000 pcs / $20
so 50 pcs / $
then
$10 * 50 pcs / $ = 500 pcs
What’s the answer? I need help
Answer:10
Step-by-step explanation:Multiply 10*10
