Answer:
x = 22/3 = 7.333
Step-by-step explanation:
Hey, can u help me with what to write
Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
Reciprocal of 1 7/10
Answer:
1 10/7
Step-by-step explanation:
Answer:
10/17
Step-by-step explanation:
I will mark brain list if correct no links please
Answer:
I think B because I think it right sorry if wrong
Step-by-step explanation:
sorry if wrong
(2t)^3 x (3t)^2 is what
Answer:
(23•32t5x)
Step-by-step explanation:
STEP1:
Equation at the end of step1:
(((2t)3) • x) • 32t2
STEP2:
Equation at the end of step2:
(23t3 • x) • 32t2
STEP3:
Multiplying exponential expressions :
3.1 t3 multiplied by t2 = t(3 + 2) = t5
Final result :
(23•32t5x)
how do I solve this screen shot
Answer:
add me as a friend and give me thanks
Step-by-step explanation:
the answer is A for sure
Can someone help me I am stuck on this question it would mean the world if u helped me and tysm for the people who helped me! <3
Answer:
49 pieces
Step-by-step explanation:
1. convert 12.25m into cm (1225 cm)
2. divide 1225cm by 25 = 49
Show that the equations x+y+z = 4, 2x+5y-2z =3, x+7y-7z =5 are not consistent
Answer:
We can start by using the second equation to eliminate x:
2x + 5y - 2z = 3
2x = -5y + 2z + 3
x = (-5/2)y + z + 3/2
Now we can substitute this expression for x into the first and third equations:
x + y + z = 4
(-5/2)y + z + 3/2 + y + z = 4
(-5/2)y + 2z = 5/2
x + 7y - 7z = 5
(-5/2)y + z + 3/2 + 7y - 7z = 5
(9/2)y - 6z = 7/2
Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.
Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:
(-45/2)y + 18z = 45/2
(45/2)y - 30z = 35/2
Adding these two equations, we get:
-12z = 40/2
-12z = 20
z = -5/3
Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:
(-5/2)y + 2(-5/3) = 5/2
(-5/2)y - 10/3 = 5/2
(-5/2)y = 25/6
y = -5/12
Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:
x + y + z = 4
x - 5/12 - 5/3 = 4
x = 29/12
Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:
2x + 5y - 2z = 3
2(29/12) + 5(-5/12) - 2(-5/3) = 3
29/6 - 5/2 + 5/3 ≠ 3
Since there is no solution that satisfies all three equations, the system is inconsistent.
Step-by-step explanation:
Answer:
See below for proof.
Step-by-step explanation:
A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.
Given system of equations:
\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)
Rearrange the first equation to isolate x:
\(x=4-y-z\)
Substitute this into the second equation to eliminate the term in x:
\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)
Subtract the first equation from the third equation to eliminate x:
\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)
Now we have two equations in terms of the variables y and z:
\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)
Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:
\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)
Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.
For example, if we subtract the second equation from the first equation we get:
\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)
Zero does not equal negative 11.
Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.
Which equation has the solution x=2
a-6x+4=−16
b 9x−2=16
c-6x−5=67
D-6x−2=49
Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
help
The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".
The correct answer option is option D
How to solve inequality?Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;
Greater than >Less than <Equal to =Greater than or equal toLess than or equal tom + 1/5 < - 1 2/3
substract 1/5 from both sides
m < -5/3 - 1/5
m < (-25-3) / 15
m < -28/15
Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.
Complete question:
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
Read more on inequality:
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Write the equation of y = 1 # when it is shifted 2 units to the left. Then the graph is shifted 7 units upward. Oy= Va + 2 + 7 Oy= ſx - 2+7 Oy = (x + 2) Oy= Vx + 7 + 2
Answer:
Explanation:
Given:
Equation 1:
\(y=\sqrt[]{x}\)When the first equation is shifted 2 units to the left and 7 units upward, the graph is:
Therefore, the equation for shifting 2 units to the left and 7 units upward is:
\(y=\sqrt[]{x+2}\text{ +7}\)
Can anyone help me get the correct answer?
Answer:
Sorry
Step-by-step explanation:
I don't know the answer
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Convert f ( x ) = 48 ( 1.02 ) x to the form f ( x ) = a e k x . Round k to 4 decimal places.
The exponential function can be rewritten as:
f(x) = 48*e^(0.0198*x)
How to transform the function?Here we start with the exponential function:
f(x) = 48*(1.02)^x
And we want to write this in the general form:
f(x) =a*e^(kx)
Notice that we can write the second form as:
f(x) = a*[e^k]^x
So, comparing this with the given exponential, we will get:
a = 48
e^k = 1.02
Apply the natural logarithm in both sides:
ln(e^k) = ln(1.02)
k*ln(e) = ln(1.02)
k = ln(1.02) = 0.0198
Then the exponential function is:
f(x) = 48*e^(0.0198*x)
Learn more about exponential functions at:
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HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g
Answer:
Slope of line g = \(1\frac{1}{3}\)
Step-by-step explanation:
Line f has a slope of \(-\frac{3}{4}\) Line g is perpendicular to f* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .
∴ \(-\frac{3}{4}\) × slope of line g = -1
Slope of line g = -1 ÷ \(-\frac{3}{4}\) = 4/3 = \(1\frac{1}{3}\)
find each sum.
17+(-28)
12+(-9)
-2+7
-14+(-10)
Answer:
-11
3
5
-24
Step-by-step explanation:
Answer:
1.-11
2.3
3.5
4.-24
Step-by-step explanation:
Hope this helps! :)
5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²How to solve the expressionsWe have to solve these out
3^8. = 6561
From the options
A. 3^2x3^4
= 9 x 81
= 729
B 3²x3^6
= 9 x 729
= 6561
C. 3^16/3^2
= 43046721/9
= 4782969
d. 3^12/3^4
= 531441 / 81
= 6561
E. (3^4)²
= 3⁴ x 3⁴
= 3⁴⁺⁴
= 3⁸
= 6561
F. (3¹)^7
= 3⁷
= 2187
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²Read more on mathematical expressions here:https://brainly.com/question/1859113
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Mr.Alfonso is replacing the tile along the edge of his kitchen counter. The edge piece is 1/2 ft . long and 2 1/2 ft. wide . what is the area,in square feet,of the edge piece
Answer:
5/4 feet ^2
Step-by-step explanation:
1/2 x 2 1/2 = 1.25 or 5/4
Which expression can you use to find the area of the rectangle? 3 times 6, 4 times 6 ,9 times 4. 4 times 3
Answer:
9 times 4
Step-by-step explanation:
Answer:
9 x 4.
Step-by-step explanation:
i got it right
find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answer using interval notation.)
f(x) = ?x2 ? 6x + 7
The domain is [0,100].[0,100]. The range is [0,1500] [0,1500]
(a) To find the cost of making 25 items substitute
x=25 in the equation
=10+500(25)
=10(25)+500(25)=750
c(x)=10x+500
c(25)=10(25)+500
c(25)=750
the cost of making 25 items is
$750
(b)
Since the maximum cost allowed is
$1500
10+500≤1500
10x+500≤1500
To solve this inequality
First, subtract 500 from both sides
10≤1000
10x≤1000
Divide both sides by 10
≤100x≤100
This means you can make at most 100 items.
The domain is
[0,100].[0,100].
The range is
[0,1500] [0,1500].
Know more about the domain
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() What is 4 divided by 9?
Answer:
9
Step-by-step explanation:
60 yards/minute=inches/second?
Answer:
36 inches or 2160 i said 36 cause i did the whole problem
Step-by-step explanation:
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
Everytime i try to answer the questions in the same format given it shows as unexpected character.Is there anyway i can fix this so i can submit the answers i am getting on here?
Answer:
use "Help"
Step-by-step explanation:
You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".
For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
b. x2 - 16x + 64 = 20
Answer:
\(x_1 = 8+2\sqrt{5}=2(4+\sqrt{5} )\)
\(x_2 = 8-2\sqrt{5}=2(4-\sqrt{5} )\)
Step-by-step explanation:
\(x^2 - 16x + 64 = 20\)
I will solve it completing the square
\(x^2 - 16x + 64 = 20\)
\((x-8)^2 = 20\)
\(x-8= \pm\sqrt{20}\)
\(x=8 \pm\sqrt{20}\)
\(x=8 \pm2\sqrt{5}\)
\(x_1 = 8+2\sqrt{5}=2(4+\sqrt{5} )\)
\(x_2 = 8-2\sqrt{5}=2(4-\sqrt{5} )\)
Answer: The answer is: " x = 8 ± 2√5 " .
____________________________
Step-by-step explanation:
____________________________
Given:
x² - 16x + 64 = 20 ; Solve for "x" ;
____________________________
Subtract "20" from each side of the equation:
x² - 16x + 64 - 20 = 20 -20 ;
to get:
x² - 16x + 44 = 0 ;
(i.e. to get an equation in "quadratic equation format" ;
that is; in the format of: ax² + bx + c = 0 ; (a ≠ 0) ;
____________________________
We cannot factor the "left-hand side" of the equation;
so, we can solve for "x" by using the quadratic equation formula;
Note that our equation: " x² - 16x + 44 = 0 " ;
is in "quadratic equation format" ;
that is: " ax² + bx + c = 0 " ; (a ≠ 0) ;
in which:
a = 1 ;
(Note: The implied coefficient of: " ax² " is: "1" ;
→ since "1" ; multiplied by any value, results in that exact value.
This is known as the "identity property" of multiplication.}.
b = -16 ;
c = 44 .
____________________________
To solve for "x" ; we use the quadratic equation formula:
____________________________
→ x = [ - b ± √(b² - 4ac) ] / [2a] ;
We solve for "x" by plugging in our values for "a" ; "b" ; and "c" ;
____________________________
→ x = { - [-16) ± {√[(-16)² - 4(1)(44) ] } / [2 * 1] ;
____________________________
→ x = [ 16 ± √ (16² - 4*44) ] / [2] ;
____________________________
→ x = [ 16 ± √ (16² - 4*44) ] / [2] ;
____________________________
→ x = [ 16 ± √ (256 - 176 )] / [2] ;
____________________________
→ x = [ 16 ± √ (80 )] / [2] ;
Now, let us rewrite: " √80 " ;
____________________________
" √80 " = √16 * √5 = 4*√5 ;
→ write as: " 4√5 " .
____________________________
Now, take:
____________________________
→ x = [ 16 ± √ (80 )] / [2] ;
____________________________
And replace: " √80 " ; with: " 4√5 " ; and rewrite:
____________________________
→ x = [ 16 ± 4√5 ) / 2 ;
____________________________
Now, divide the numerator by "2" to simplify, and rewrite:
→ Note: 16 ÷ 2 = 8 ; and: 4 ÷ 2 = 2 ;
So, we have:
____________________________
→ x = 8 ± 2√5
____________________________
Simplify the expression sin 2x+ sin x + cos2x - 1.
Answer:
Sin(2x)+sin(x)+cos(2x)-1
Step-by-step explanation:
I’ll give 15 points please tell me thanks :))
Answer:
2
Step-by-step explanation:
1 , 3 and 4 have at least two pairs of parallel lines,
2 only have one pair of parallel line
(that's the only thing I can think of)
eliminate t
If x=2at/(1+t²)
, Y=b(1-t²)/(1+t²)
Answer:
x=2at/(1+t²)
dx/dt =[(1+t²)(2at)'-(2at)(1+t²)']/(1+t²)²
dx/dt=[(1+t²)(2a)-(2at)(2t)]/(1+t²)²
dx/dt=[2a+2at²-4at²]/(1+t²)²
dx/dt=[2a-2at²]/(1+t²)²
y=[b(1-t²)]/(1+t²)
dy/dt=[(1+t²)(b(1-t²))'-b(1-t²)(1+t²)']/(1+t²)²
dy/dt=[((1+t²)(-2bt)-b(1-t²)(2t)]/(1+t²)²
dy/dt=(-2bt-2bt³-2bt+2bt³)/(1+t²)²
dy/dt=(-4bt)/(1+t²)²
dy/dx=(dy/dt)/(dx/dt)
dy/dx=[(-4bt)/(1+t²)²]/[(2a-2at²)/(1+t²)²]
Cancelling common denominator
dy/dx=(-4bt)/(2a-2at²)
dy/dx=(-2bt)/(a-at²)
dy/dx=(2bt)/(at²-a)
Differentiating the above equation
y''=d²y/dx²=D[(2bt)/(at²-a)]
y''=[(at²-a)D(2bt)-(2bt)D(at²-a)]/(at²-a)²
y''=[(at²-a)(2b)(dt/dx)-(2bt)(2at)(dt/dx)]/(at²-a)²
dt/dx=(1+t²)²/(2a-2at²)
y''=[(at²-a)(2b)[(1+t²)²/(2a(1-t²))]-
(4abt²)[(1+t²)²/(2a-2at²)]/(at²-a)²
y''=[(-b)(1+t²)²-(2bt²)[(1+t²)²/(1-t²)]/(at²-a)²
y''=[(-b)(1+t²)²(1-t²)-(2bt²)(1+t²)²]/[(1-t²)(at²-a)²]
y''=[b(1+t²)²(t²-1)-2bt²(1+t²)²]/[(1-t²)(at²-a)²]
Step-by-step explanation: