Answer:
i = - 5
Step-by-step explanation:
Given
2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side
2i - 3 = 12 - 2i + 7i
2i - 3 = 12 + 5i ( subtract 5i from both sides )
- 3i - 3 = 12 ( add 3 to both sides )
- 3i = 15 ( divide both sides by - 3 )
i = - 5
Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
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If you spin the spinner, what is the probability of the pointer landing in the y section
Answer:
1/8
Step-by-step explanation:
A una fiesta número de mujeres era 4 veces al número de hombres después de la llegada de 5 matrimonios el porcentaje de hombres en la fiesta pasó a ser deben 6% cuál es el número de mujeres después de la llegada de 5 matrimonios
After the arrival of 5 marriages, the total women will be 9.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%
Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.
After the arrival of 5 marriages -
y + 5 = 4x + 5
and
x = 6% of y
x = (6/100) x y
x = (3/50)y
So, we can write -
y + 5 = (12/50) + 5
y = 12/50
So -
x = (12/50) x (50/3)
x = 4
After the arrival of 5 marriages, the total women will be -
x + 5 = 9
Therefore, after the arrival of 5 marriages, the total women will be 9.
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{Question in english language is -
At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}
These dot plots show lengths (in feet) from a sample of crocodiles and alligators.
Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
statement is true?
A. Alligators have a smaller IQR because there were some very long
alligators (high outliers).
B. Crocodiles have a greater IQR because most of the crocodiles
were about the same length.
C. Alligators have a smaller IQR because there were some very short
alligators (low outliers).
D. Alligators have a greater IQR because there were some very long
alligators (high outliers).
Alligators have a greater IQR because there were some very long alligators (high outliers)
D: Alligators have a greater IQR because there were some very long alligators (high outliers)
How to find outliers and the interquartile range?Use the interquartile rule to find outliers and calculate the interquartile range of data.
Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.
Subtract 1.5x (IQR) from the first interquartile range.
If you subtract 1.5xIQR from the first quartile, data values smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values larger than this number are considered outliers.
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please find the x for these
Answer:
x=b-8a/8
x=b+8a/a
x=2-2c/c
What is the least common multiple of 8, 2, 3a, 6b, and 4ab?
Answer:
24ab
Step-by-step explanation:
The multiple of 8, 2, 4ab, 3a, and 6b would be all the variables multiplied together right?
Then you see that:
8 can be divided by both 2 and 4 (2 x 2 x 2)
2 is 2 x 1
4ab can be 2 x 2ab
3a is the same as 3 x a
and
6b can be 2 x 3b
Now if you find the lowest common multiples (LCM's) of each variable with another you'll get your answer.
LCM of 8, 2 and 4ab is 2 times 2 times 1 times 2ab which equals 8ab
LCM of 3a and 6b is 3a times 2 times b which equals 6ab
and the
LCM of 8ab and 6ab is 2 times 2ab times 4 times 3 which equals 24ab.
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
Answer:
There we go!!!
Find the highest common factor of 55 and 605
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
A system of equations is: x = 10 and 3x + 5y = 20. In the system of equations, what is the value of y?
Answer:
2-
Step-by-step explanation:
[tex]x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2[/tex]
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]
= lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]
= lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x
Rewrite 5 X 2/3 using a whole number and a unit fraction
Answer: 3 1/3
Step-by-step explanation:
Im assuming the big ol "X" is a multiply sign.
The answer is three and one third.
35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
-2x + 6y - X+5+ 2x - 4y -6
Answer:
2y-x-1
Step-by-step explanation:
use zero property
(-2x. +2x) =0
=6y-x+5-4y-6
collect like terms
6y-4y=2y
=2y-x+5-6
calculate the difference
+5-6=-1
=2y-x-1
good day :)
What is the answer? Please
Answer:
i would say the 3rd one
Step-by-step explanation:
Given three points, it is possible to draw a circle that passes through all three. The perpendicular bisectors of a chords always passes through the center of the circle. By this method we find the center and can then draw the circle. This is virtually the same as constructing the circumcircle a triangle.
WHAT IS 7/3 OF 6093?????????
Answer:
14217
Step-by-step explanation:
(7÷3)×6093=
14217
Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.
Answer:
55.53
Step-by-step explanation:
45.12
5.2%= 1.052
new price= original(1+5.2%)
x=45.12(1.052)
×=47.46624+17%
=55.53
What's the answers to theseeeee help need it bye 12:00
Only answer the part where it says her bonus will be______
Answer:
her bonus will be a big paycheck of 99999
Please help fast!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(- 8)) = 119
Step-by-step explanation:
Evaluate h(- 8), then substitute the result obtained into g(x), that is
h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then
g(62) = 2(62) - 5 = 124 - 5 = 119
what are the next 2 terms in the sequence
Answer:
4 1/4 and 4 3/4
Step-by-step explanation:
its adding 2/4 each time
Answer:
4.25 and 4.75
Step-by-step explanation:
just add 0.50
I NEED HELP PLEASE !!!!
Answer:
NEVER INTERSECT
Hope this Helps
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
Kareem cannot decide which of two washing machines to buy. The selling price of each is $440. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
x=$495*0.7=$346.50=$347
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Y=$495*0.8=$396
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Z=$396*0.9=$356.40=$356
the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
Answer:
The sale price of the first washing machine is $308
The sale price of the second washing machine is $317
help me yall like sis
Answer:
x= 10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
Answer:
x=10
Step-by-step explanation:
Vertical angles are always congruent, those to angles are vertical angles so they are congruent.
Set them equal to each other:
110=8x+30 subtract 30 from both sides
80=8x divide by 8 on both sides
x=10
Hope this helps :)
Please Help! I will give brainliest
Answer:
-6.3n + 8.6
Step-by-step explanation:
you add the terms together
Answer: -6.3n + 8.6
Step-by-step explanation:
are the following terms like terms 3m+4n yes or no
Determine the value of x.
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
Hey guys can you help me with these im kinda busy and dont feel like doing them
Answer:
yes Whyy?
Step-by-step explanation:
walalang Sagot mo yan HAHAHAHAH