Answer:x = -4
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+6-3*(x-2)-(x+4)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
((6x + 6) - 3 • (x - 2)) - (x + 4) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x + 8 = 2 • (x + 4)
Equation at the end of step
3
:
2 • (x + 4) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
[tex] \sqrt{2} \div 2 + 2 \div \sqrt{2 } [/tex]
What does it equal to??
Answer:
[tex]\frac{3\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )
= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]
= [tex]\frac{3\sqrt{2} }{2}[/tex]
I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME
HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?
2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?
Answer:
1. polynomial
2. equation
I hope it will be useful.
Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.
What are the possible outcomes and sample space of the experiment?
What were the results of the experiment? Show the results in table format.
What is the probability of each option?
How can a binomial probability experiment be set up to test the accuracy of the results?
i know this is a bit of an odd one to need help with, but this decides my grade, so please only answer if you can help
Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
Can someone help me please
Answer: B
Step-by-step explanation:
It has to be B. None of the other answers make sense.
help please..... I cant find the answe
Answer:
[tex]6^{30}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]
= [tex]\frac{6^{36} }{6^{6} }[/tex]
= [tex]6^{(36-6)}[/tex]
= [tex]6^{30}[/tex]
(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?
60°
take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m
base is the distance that the man stands away from the pole
using tan rule will be opposite/adjacent
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent) I have had to repost this like 3 times IF YOU ARE NOT SURE THEN DONT ANSWER the answer is .4 repeating if your explanation does not get that move along
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]1.5^{-2}[/tex]
= [tex]\frac{1}{1.5^{2} }[/tex]
= [tex]\frac{1}{2.25}[/tex]
= 0.4444.....
The list of all factors for 21 is 1, 3, 7, and 21.
True or False
plz i need help
Answer:
true
Step-by-step explanation:
hope you have a wonderful new year
In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
Writing Equations of Parallel Lines
y
10
What is the slope of the line that is parallel to the given
line and passes through the given point?
8
6
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
given point?
4.
2
-10 -8 6 4
What is the y-intercept of the line that is parallel to the
given line and passes through the given point?
2
4.
6
8
10
-2
-2
4
-6
-8
-10
Answer:
The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
The equation of the parallel line to the given line and passes through the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
The y-intercept of the parallel line to the given line and passes through the given point is [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the lineThe slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-interceptParallel lines have the same slopes and different y-interceptsIn the given figure
∵ The given line passes through points (2, 6) and (-6, 8)
∴ x1 = 2 and y1 = 6
∴ x2 = -6 and y2 = 8
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{8-6}{-6-2}[/tex] = [tex]\frac{2}{-8}[/tex] = [tex]-\frac{1}{4}[/tex]
∴ The slope of the given line is [tex]-\frac{1}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
∵ The parallel line passes through the point (-2, -4)
∴ x1 = -2 and y1 = -4
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute them in the point-slope form above
∵ y - (-4) = [tex]-\frac{1}{4}[/tex] (x - (-2))
∴ y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∴ The equation of the parallel line to the given line and passes through
the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute it in the slope-intercept form above
∴ y = [tex]-\frac{1}{4}[/tex] x + b
→ To find b substitute x by -2 and y by -4 (coordinates the given point)
∵ -4 = [tex]-\frac{1}{4}[/tex](-2) + b
∴ -4 = [tex]\frac{1}{2}[/tex] + b
→ Subtract [tex]\frac{1}{2}[/tex] from both sides
∴ [tex]-\frac{9}{2}[/tex] = b
∵ b is the y-intercept
∴ The y-intercept of the parallel line to the given line and passes
through the given point is [tex]-\frac{9}{2}[/tex]
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
✔ –1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
✔ y + 4 = –1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
✔ –9/2
Step-by-step explanation:
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3
Given:
The expressions are
[tex]-6a^2b^{-1}[/tex]
[tex]\dfrac{5}{y^{-3}}[/tex]
To find:
The simplified form of each expression.
Solution:
We have,
[tex]-6a^2b^{-1}[/tex]
[tex]=-6a^2(\dfrac{1}{b})[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=-\dfrac{6a^2}{b}[/tex]
Therefore, the simplified form of [tex]-6a^2b^{-1}[/tex] is [tex]-\dfrac{6a^2}{b}[/tex].
We have,
[tex]\dfrac{5}{y^{-3}}[/tex]
[tex]=\dfrac{5}{\dfrac{1}{y^3}}[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=5\times \dfrac{y^3}{1}[/tex]
[tex]=5y^3[/tex]
Therefore, the simplified form of [tex]\dfrac{5}{y^{-3}}[/tex] is [tex]5y^3[/tex].
11. Find the measure of each missing angle.
Help me pls!
Answer:
1=15?
Step-by-step explanation:
5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)
For the function F(x) = }, which of these could be a value of F(x) when xis
close to zero?
Given:
The graph of the function [tex]f(x)=\dfrac{1}{x}[/tex].
To find:
The value of the function f(x), when x is close to zero.
Solution:
From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.
[tex]f(x)\to \infty[/tex] as [tex]x\to 0^+[/tex]
[tex]f(x)\to -\infty[/tex] as [tex]x\to 0^-[/tex]
In means, the value of must be very large positive value or very large negative if x is close to zero.
From the given options -10,000 is very large negative value.
So, the possible value of f(x) could be -10000 if x is close to 0.
Therefore, the correct option is A.
In order for the parallelogram to be a square x = ?
Answer: x = 7
Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.
4x + 17 = 45 Subtract 17 from both sides.
4x = 28 Divide both sides by 4
x = 7
5713065981 if your this guy text me
Answer:
imagine she doesn't find him
*grins with werid intantions*
Write 1.417x10^2 in standard notation please hurry .thank you
Answer:
The standard notation would be 141.7
Step-by-step explanation:
Which set represents a function?
{(1, 3), (4, 5), (4, 9), (6, 19)}
{(-5, 6), (-3, 13), (-14, 30)}
{(12, 12), (12, 13), (12, 14)}
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
Answer:
the second set
Step-by-step explanation:
You cannot have the same number in your domain twice.
Scarlet deposited $500 in a savings account with simple interest. One year later she had earned $30 in interest. What was the interest rate?
Answer:
6%
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
30 = 500r
r = 3/50 or 6/100 which is 6%
1/4x+3/8 factored by the GCF
Given:
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
To find:
The factor form of given expression by the GCF.
Solution:
First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].
So, make denominators same.
[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]
Now,
[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
We have,
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
It can be written as
[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]
Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get
[tex]=\dfrac{1}{8}(2x+3)[/tex]
Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].
the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units,find the dimensions of the rectangle
Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?
Answer:
11 elevenths equal a whole meatloaf
11/11=1
Answer:
11 11ths
Step-by-step explanation:
11/11 = 1 whole
Set up the following additional using a vertical format and find the sum of the given polynomials:
7b+3, -4b+5, and -3b+2
Answer:
Step-by-step explanation:
The Answer is 10
I need help thank you
Answer:
x is greater than or equal to 8.75 or 8 3/4
Step-by-step explanation:
So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.
Please help ASAP I am so confused
Here are the steps, hope it helps!
You throw a ball into the air from a height of 5 feet with an
initial vertical velocity of 32 feet per second. Use the vertical
motion model, h = –16t2 + vt + s, where v is the initial
velocity in feet per second and s is the height in feet, to
calculate the maximum height of the ball. Round your answer
to the nearest tenth if necessary.
Maximum height
The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?
Answer:
$12.23
Step-by-step explanation:
75/100 = 0.75
0.75 x 6.99 = 5.2425
6.99 + 5.2425 = 12.2325
What is the solution?
Answer:
(2,3)
Step-by-step explanation:
it's the point of intersection
hope this helps, pls mark brainliest :D
Answer:
2,3 i believe 2 on the x axis and 3 on the y
Step-by-step explanation:
16 children together weigh 480 kg 960 g . If weight of all the children are equal, find the weight of each child.
Answer:
30.06 kg
Step-by-step explanation:
480kg 960g = 480969g.
480960 / 16 = 3060g
30060g
30060g = 30.06kg.