[tex]\text{Solve for x:}\\\\3x - 5 = 5x + 3[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = -4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Compute the standard deviation of the following set of data to the nearest whole number:
8, 12, 15, 17, 18
14
03
04
13
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
[tex]\bar{x}=14[/tex] and use this to find the variance in the formula:
[tex]s^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex] it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
[tex]s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}[/tex]
Squaring this ensures us that we don't end up with zero, which would be useless.
[tex]s^2=\frac{36+4+1+9+16}{5}[/tex] so
[tex]s^2=13.2[/tex] which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
X^2 - 2x + 6 = 0
Show all work
Answer:
x= plus or minus 1 plus imaginary root times square root of 5.
Step-by-step explanation:
[tex] {x}^{2} - 2x + 6 = 0[/tex]
Complete the Square.
[tex] {x}^{2} - 2x = - 6[/tex]
[tex] {x}^{2} - 2x + 1 = - 5[/tex]
[tex](x - 1) {}^{2} = - 5[/tex]
[tex]x = + - 1 + i \sqrt{5} [/tex]
Find the length of the third side. If necessary, round to the nearest tenth. 6 10
Answer:
Step-by-step explanation:
7
Factor: (a+3)^2 -a(a+3)
Answer:
3(a +3)
Step-by-step explanation:
(a+3)^2 -a(a+3)
FOIL
a^2 +3a+3a+9 -a(a+3)
Distribute
a^2 +3a +3a +9 -a^2 -3a
Combine like terms
3a +9
FACTOR out a+3
(a+3)( a+3 -a)
(a+3) (3)
3(a+3)
Answer:
3(a+3)
Step-by-step explanation:
Expand the first set of brackets first
(a+3)^2
A^2 + 3a + 3a +9
=A^2 + 6a + 9
Expand the second set of brackets
-a(a+3)
=-a^2 - 3a
Add both sets together
3a + 9
Factorise:
3(a+3)
find value of the variable
Answer:
x=10
Step-by-step explanation:
16/24=(x-2)/12
or, 16/2=x-2
or, 8=x-2
or, x-2=8
or, x=10
Answered by GAUTHMATH
Drag the tiles to the correct boxes to complete the pairs.
Find the missing the coordinates.
(2, -2)
(-5, -5)
(2, 1)
(-1, -1)
A(-5, -1), B(1, -1), and C(1, -5) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
arrowRight
A(2, 5), B(6, 5), and C(6, 1) are
three vertices of square ABCD. What are
the coordinates of vertex D?
arrowRight
A(2, 3), B(7, 3), and C(7, -2) are
three vertices of square ABCD. What are
the coordinates of vertex D?
arrowRight
A(-1, 4), B(7, 4), and C(7, -1) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
arrowRight
Answer:
i think its 24
Step-by-step explanation:
2=2
PLEASE HELP !!!!!!!!!!!!!
Answer:
the 3rd won for sure
Step-by-step explanation:
hope I helped
Answer:
C
Step-by-step explanation:
The coordinates are all in (x, y) form.
X is how left or right
y is how tall.
If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.
I hope this helps!
What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?
1/3
1/2
2
13
Answer:
x = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
x=2
If x=(p-3) and y=(p+3),show that xy+9=psquare
Step-by-step explanation:
Answer with explanation is in the attachment
Hope it is helpful to you
Please HELP! ):
The measure of an interior angle of a regular polygon is eight times the measure of one of its exterior angles. How many sides does the polygon have?
see screenshot below
Answer:
B only
Step-by-step explanation:
well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0
and to figure "a " we can consider the following equation:
[tex] \displaystyle x - a = 0[/tex]
substitute the given value of a:
[tex] \displaystyle x - 2= 0[/tex]
therefore,
[tex] \displaystyle x = 2[/tex]
option-1:plugin the value of x to the function A(x):
[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]
simplify which yields:
[tex] \displaystyle A(2) = 16[/tex]
since A(2)≠0 x-2 is not a factor of A(x)
option-2:similarly substitute the value of x to the function B(x) which yields:
[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]
simplify:
[tex] \displaystyle B(2) =0[/tex]
so, B(2)=0 Hence x-2 is a factor of x³-x-6
option-3:substitute the value of x to the function C(x)
[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]
simplify:
[tex] \displaystyle C(2) =12[/tex]
as C(2)≠0 x-2 is not a factor of C(x)
option-4:likewise plugin the value of x to the function D(x):
[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]
simplify and that yields:
[tex] \displaystyle D(2) = - 2[/tex]
therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
The factor
x-2=0x=2we have find the value of x .
Now,
we have to select all the polynomial which has x-2 As a factor.
According to the question,
option A:-[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]
so it is not a factor.Option B:-[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]
so it is a factor Option C:-[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]
so it is not a factoroption D:-[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]
so it is not a factortherefore:-The option B is correct.
In a bowl of fruit, there are green grapes and black grapes in the ratio 3 : 4
If there are 24 green grapes, how many black grapes are there?
Answer:
32
Step-by-step explanation:
Green : black
3 4
We have 24 green
3+8=24
so multiply each side by 8
Green : black
3*8 4*8
24 32
There are 32 black grapes
Answer:
32
Step-by-step explanation:
By Question :-
Green grapes: Black grapes= 3:4Let :-
Number of black grapes = xTherefore,
GG/ BG = 3/4 24/x = 3/4 x = 24 × 4/3x = 8 × 4x = 32PLS HELP PICS OF QUESTION ATTACHED!
Elisa runs a bubble bath for her daughter. The bathtub is 17 inches deep and fills at a rate of 3 inches of water every 5 minutes.
Just after turning on the water, Elisa’s doorbell rings. It’s her neighbor bringing over a package that was mistakenly left on her doorstep. They talk for 26 minutes, then Elisa returns to check on the bathtub. Did the tub overflow while she was talking to her neighbor, or did she return in time?
Answer:
Elisa return in time. :)
Step-by-step explanation:
It is given that the bathtub is 17 inches deep.
The water fills the tub at a rate of 3 inches of water for every 5 minutes.
Elisa spent 26 minutes with neighbor.
Let's find whether the tub overflow or did she return in time.
In 5 minutes water filled is 3 inches
In 10 minutes water filled is 6 inches
In 15 minutes water filled is 9 inches
In 20 minutes water filled is 12 inches
In 25 minutes water filled is 15 inches
In 26 minutes water filled in is 15+1/3 inches , which is same as 15.33 inches.
But the deep of tub is 17 inches.
We could say, she return in time.
PLEASE HELP 30 POINTS
Find the value of x in the triangle below.
804
155
55°
o
75
80°
Ο Ο
85
Answer:
75°
Step-by-step explanation:
First, we need to know that the interior angle sum of a triangle is always 180°.
Now, to find the missing angle aside from x, we need to complete the sum 180-155=25, seeing 155° lies on a straight line. Remembering the interior angle sum of a triangle is always 180°, it is thus clear that 25+80+x=180. If we complete this equation, x=75.
Hope this helps!
Plesssse help me with this
the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?
Answer: 7.25
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
A. 21
B. 2
C. 25
D. 26
DE 24
E 23
Answer:
D. <6
E. <4
Step-by-step explanation:
both are exterior angles
∠4 and ∠6 are exterior angles.
Options D and E are the correct answers.
What are exterior angles?Exterior angles are angles formed by a straight line and a line segment outside of that straight line.
More specifically, an exterior angle is formed when two non-collinear rays originate from a point on one side of a straight line and intersect with the other side of the line.
We have,
From the figure,
∠4 and ∠6 are exterior angles.
∠5 and ∠3 are interior angles.
And,
∠6 is the sum of ∠3 and ∠1.
Thus,
∠4 and ∠6 are exterior angles.
Learn more about exterior angles here:
https://brainly.com/question/28835566
#SPJ7
0=(x-8)^2-100 Solve the problem using any type of way.
0 = (x-8)^2 -100
Add 100 to both sides
100 = (x-8)^2
Take the square root of both sides
10 = (x-8)
Remove the parentheses
10 = x-8
Add 8 to both sides
18 = x
Answer: x = 18
Which of the following function pairs are inverses?
Answer:
(A)
x= 5y-3
(x+3)/5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i took the test lol
SOMEONE HELP PLEASE I NEED ANSWER
Answer:
T = 55 + 6w and $103
Step-by-step explanation:
We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value
T = 55 + 6w
Solving for T when w = 8 weeks
T = 55 + 6(8)
T= 55 + 48
T = $103
88 POINTS PLS HELP!!!
Answer:
aw no me la seee lo.sientooo no puedooo
One condition for performing a hypothesis test is that the observations are independent. Mark is going to take a sample from a population of 400 students.How many students will Marta have to sample without replacement to treat the observations as independent?
Answer:
40
Step-by-step explanation:
Given :
The number of the observations in the population is N = 400
There is a [tex]10\%[/tex] rule of assuming the independence.
Now, according to the rule, if we sample without replacement then, any sample of sizes less than or equal to [tex]10\%[/tex] of the population is considered independent.
[tex]10\%[/tex] of population = [tex]10\%[/tex] of 400
[tex]$=\frac{10}{100} \times 400$[/tex]
= 40
Any sample of sizes less than or equal to 40 will be independent for the given population if it is sampled without replacement.
So, the answer is 40.
So, Mark have a sample of 40 students without replacement to treat the observations as independent.
Answer: 40
Step-by-step explanation:
Find the value of x. Round the length to the nearest tenth.
Answer:
[tex]x=opposite\: side\: of \:22[/tex]
[tex]16=hypotenese[/tex]
[tex]sin22=opp/hyp[/tex]
[tex]sin22=\frac{x}{16}[/tex]
[tex]\Longrightarrow x=16\times sin22[/tex]
[tex]x=5.99[/tex]
[tex]x=6.0[/tex]
[tex]OAmalOHopeO[/tex]
Which number is greater than 234,781,114?
A. 3.425 x 10 to the power of 6
B. 3.425 x 10 to the power of 8
C. 3.425 x 10 to the power of 7
D. 3.425 x 10 to the power of 5
Answer:
I think its B.
Step-by-step explanation:
sorry if i am wrong.
Frank practiced piano for 2 ⅓ hours yesterday. He practiced 1 ⅛ hours today. How long did he practice on both days combined? Convert your answer to hours and minutes.
Answer: [tex]3 hr and 27 min[/tex]
Step-by-step explanation:
Given
Frank practiced piano for [tex]2\frac{1}{3}\ \text{hours}[/tex] yesterday and [tex]1\frac{1}{8}\ \text{hours}[/tex]
In total frank practiced
[tex]\Rightarrow 2\dfrac{1}{3}+1\dfrac{1}{8}\\\\\Rightarrow \dfrac{7}{3}+\dfrac{9}{8}\\\\\Rightarrow \dfrac{7\times 8}{3\times 8}+\dfrac{9\times 3}{8\times 3}\\\\\Rightarrow \dfrac{56+27}{24}=\dfrac{83}{24}\ \text{hours}\\\Rightarrow \dfrac{83}{24}\ \text{hours}\ or\ 3\ \text{hours and 27 min 30s}[/tex]
How many times is value of the digit 3 in 45.2638 lesser than value of the
digit 3 in 356.987?
1/100000
100000
10000
1/1000
Answer:
100000 times lesser
Step-by-step explanation:
The value of the digit 3 in 45.2638 is 0.003 and the value of the 3 in 356.987 is 300. 300/0.003 = 100000
99999+999=????????????????????????????
Answer:
100998 is the answer.
I hope this help u.
Answer:
100998
Step-by-step explanation:
₁ ₁ ₁ ₁ ₁
99999
+ 999
100998
you can also think of it as
99999(+1) + 999(-1)
100000+998
100998
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Given:
In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].
To find:
The measure of angle C.
Solution:
Law of Cosines:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]
Substituting the given values, we get
[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]
[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]
[tex]\cos C=\dfrac{0}{2184}[/tex]
[tex]\cos C=0[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}(0)[/tex]
[tex]C=90^\circ[/tex]
Therefore, the measure of angle C is 90 degrees.
Answer:
eason
Step-by-step explanation:
boy
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eason
Step-by-step explanation:
boy
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eason
Step-by-step explanation:
boy
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eason
Step-by-step explanation:
boy
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eason
Step-by-step explanation:
boy
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eason
Step-by-step explanation:
boy
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