Answer:
d=-4.......,...........
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
If,
c - d = 7
c = 3 - 8i
The value of d is -4 - 8i
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
2x + 6 is an equation.
We have,
Two equations:
c - d = 7 _______(1)
c = 3 - 8i _______(2)
We are using the substitution method to solve this problem.
We make the value of a variable from an equation and substitute the value of that variable in the other equation.
From (1) we get,
c - d = 7
Add d on both sides.
c - d + d = 7 + d
c = 7 + d ______(3)
Put (3) on (2) we get,
7 + d = 3 - 8i
Subtract 7 on both sides.
7 + d - 7 = 3 - 8i - 7
d = -4 - 8i
Thus,
If,
c - d = 7
c = 3 - 8i
The value of d is -4 - 8i
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Which of the following numbers are NOT rational?
A)√25
B)18.9238...
C)1.323232...
Answer:
the answer is a because it has no decimal
it is in square root
increase £40 by 35% =
Answer:
£54
Step-by-step explanation:
An increase of 35% on the original 100% is 100% + 35% = 135% = 1.35 , so
1.35 × £40 = £54
Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Explanation:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red
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Answer:
OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-
Step-by-step explanation:
Answer:
ITS A
trust me it's quite simple. you just need to find the overall pattern of the sequence
Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
Give me an answer only
Answer:
Step-by-step explanation:
option 2
Answer:
The first choice
Step-by-step explanation:
-2 + 4(-5) = -2 + -20 = -22
-2 + 4(0) = -2
I need help in Algebra
Answer:
choice 1
Step-by-step explanation:
plug the points into each answer choices (guess and check)
answer this plzzzz!!!
You are given a card number that says 3 1 4 1 8 6 2 2 6 5 4 8 7 1 7 x. If this is the credit card number what must x be?
Answer value
Answer:
3 or 5 cause there is 2 eights 2 fours 3 ones 2 six's 2 two's 2 sevens
Step-by-step explanation:
the answer must be because i don't know 6
what is the slope of (-3,3) and (-3,13)
Answer:
10
Step-by-step explanation:
y2-y1/x2-x1. subtract the two and reduce the fraction
help me plz.........................................
Answer: y=10
Step-by-step explanation:
5y-8=42
5y= 50
y= 50/5
y= 10
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I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.
Answer:
3
Step-by-step explanation:
For each CD:
$56÷4=$14
Therefore for $42,
$42÷$14=3
Brad can purchase 3 CD'S.
Hope this helps!
Hope this helps!please mark BRAINLIEST.
A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.
a. True
b. False
Answer:
a
Step-by-step explanation:
True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.
The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.
The confidence level represents the probability that the interval contains the true population parameter.
In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.
Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.
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Find the gradient and intercept on the x and y axes of the straight line with the following equation.
y + 5x = 13
Answer:
gradient is 5
Step-by-step explanation:
x intercept, replace y with 0
y +5x= 13
0+ 5x =13
0 - 13= -5x
-13= -5x
-13/-5 = -5x/-5
x = 13/5
y intercept, replace x with 0
y+5x=13
y+5(0)=13
y+0=13
y =13
An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 84 students?
how do i solve this??
Answer:
128º
Step-by-step explanation:
You just add the two angles together
<GFE=<KFE+<GFK
<GFE=100+28
<GFE=128
James has a piece of construction paper with a length of 9/10 feet and a width of 2/3 feet.
What is the area of James's piece of construction paper?
Area = length x width
When you multiply fractions, multiply top number by top number and bottom number by bottom number:
9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:
18/30 reduces to 3/5
Answer: 3/5 square feet
Some methods for graphing equations work well with certain equations and some don’t. Knowing which method to select based on the given equation is a valuable skill. You have learned three methods to graph equations. These methods are:
y = mx + b
find intercepts
use a t-chart
A. Post your response to the discussion board.
Using the following 3 equations, answer the questions:
11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18
How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
Answer:
Step-by-step explanation:
I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"
This is what I got:
11x + y = 4
x+y=-2
x-2y=18
For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):
-------
11x + y = 4
y=-11x+4
-------
x+y=-2
y=-x-2
-------
x-2y=18
2y = x-18
y=(1/2)x-9
------
For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).
1. y=-11x+4 let x = 1; y = -7 : (1,-7)
y=-x-2 let x = 2; y= -4 : (2,-4)
y=(1/2)x-9 let x= 2; y=-8 : (2,8)
The y-intercepts tell us at point on the line for each equation:
(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)
Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!
The two points for each equation are:
1. (1,-7), (0,4)
2. (2,-4), (0,-2)
3. (2,8), (0.-9)
This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.
Find the distance from point A (-1/4,5)
to the line - x + 2y = 14. Round your answer to the nearest tenth.
Answer:
1.7 (units).
Step-by-step explanation:
1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:
[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex] , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;
2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:
[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]
6x — 5y = 15
x = y + 3
х =
y =
Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
Under his cell phone plan, Eli pays a flat cost of $63 per month and $4 per gigabyte. He wants to keep his bill under $75 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.
Answer:
G=3 gigibytes
Step-by-step explanation:
$75-$63=$12
12 divided by 4 is 3, so g is 3
Simplify radicals please
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
May I please receive help?
Please?
Answer:
19
Step-by-step explanation:
take total divide by 5 and boom nice
=============================================================
Explanation:
Let's say x is the measure of angle 1, aka angle ABC. We'll also say the variable y is equal to angle 2, aka angle CBD.
Angles x and y add to angle ABD, which is 95 degrees
x+y = 95
Since angle 2 is four times that of angle 1, we also know that,
y = 4x
----------------
Let's apply substitution to solve for x
x+y = 95
x+4x = 95 ... replace y with 4x
5x = 95
x = 95/5
x = 19 which is the measure of angle 1
y = 4x = 4*19 = 76
x+y = 19+76 = 95 which helps confirm the correct answer.
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Answer:
See belowStep-by-step explanation:
#22Find the difference:
6.48×10⁷ - 2.15×10⁷ = (6.48 - 2.15)×10⁷ = 4.33×10⁷ people#23Find the ratio:
2.15×10⁷ / 2.95×10⁶ = 21.5/2.95 = 7.28 people / mi²#24Find the ratio:
1.3×10⁹ / 6.48×10⁷ = 130/6.48 = 20 times1.235 X 10
HELP PLEASE
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
if a×b÷2=a÷2 then b =
HELP PLEASE SHOW ME HOW TO DO THIS
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
pls help. i will give brainliest!!!!!!
Answer:
the strong correlation
Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← equation of parallel line