Answer:
-4 + 6x.
Step-by-step explanation:
8 - 3(4 - 2x)
= 8 - 12 + 6x
= -4 + 6x.
The correct answer is 6x - 4
Simplify :
8 - 3(4 - 2x)
8 - (12 - 6x) (using BODMAS rule)
8 - 12 - (-6x)
( 8 -12) + 6x
-4 + 6x
= 6x - 4
2. Write a factored form function, f(x) for a cubic function that has zeros (- 7, 0) and (3, 0)
The cubic equation in factor form f(x) = (x + 7) · (x - 3) · (x - r) contains zeros (- 7 , 0) and (3, 0), for r = 0: f(x) = (x + 7) · (x - 3) · (x - r).
How to derive a cubic equation in factor form
Cubic functions are polynomials with grade 3 and whose standard form is described by the following form:
y = a · x³ + b · x² + c · x + d
Where a, b, c, d are real coefficients. The factor form of a cubic function is described by the following definition:
y = a · (x - r₁) · (x - r₂) · (x - r₃)
Where:
a - Lead coefficient.r₁, r₂, r₃ - Real zeros.Replace all known variables in factor form of cubic equation: (a = 1, r₁ = - 7, r₂ = 3, r₃ = r)
f(x) = (x + 7) · (x - 3) · (x - r)
Variable r means that there is more than one answer concerning the expression, if we assume that r = 0, then the particular solution is f(x) = (x + 7) · (x - 3) · x.
To learn more on cubic equations: https://brainly.com/question/29531514
#SPJ1
Water in a swimming pool is treated with two chemicals mixed in the ratio of 5: 4. The total volume of the chemicals is 48 litres. How much of each chemical is used?
help me solve this please
Answer:
g=44°
k=70°
h= 136°
m= 110°
Answer:
h= 136°
g=44°
m= 110°
k=70°
Step-by-step explanation:
Have a nice day!
Your bike was originally purchased for $1,200. It loses about 8% of its original value each year. Write an equation to represent this exponential function with appropriate values.
Answer:
y= 1200(0.92)^x
Step-by-step explanation:
Given data
Cost price= $1200
Rate of decrease= 8%
Let the time be x
The expression that describes an exponential function is
y= ab^x
for decrease b= 1-r
y= 1200(1-0.08)^x
y= 1200(0.92)^x
Hence the expression is
y= 1200(0.92)^x
There are 9 red, 5 yellow, and 7 green jellybeans in a jar. Without replacement what is the probability of choosing a green jellybean followed by a red jellybean?
Answer:
3/14 chance first draw
Step-by-step explanation:
There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.
Probability the 1st draw is red = 3/14.
Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.
Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.
3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.
what is the y-intercept of a line that passes through the points (2, -2.5) and (4, -2)?
Answer:
Step-by-step explanation:
To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To find the slope(m) we can use the rise over the run formula ,
m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5
then we can substitute the values in point-slope form
y - (-2.5) = -0.5 (x - 2)
And now we can use x = 0,
y = -0.5(0-2) -2.5 = 1.5
so the y-intercept of the line is 1.5
Do anybody know what this is need to do this by today D=29m
John worked out the problem below but got the wrong answer:
X + 18 < 22
X + 18 + 18 < 22 + 18
X<40
Explain his mistake and correct the problem for him.
Your answer:
Answer:
Step-by-step explanation:
He added 18 on both sides instead of subtracting 18 on both sides
X+18-18<22-18
X<4
Find the exact value of sin 0 if cos 0=-2/3 and 90º < 0 < 180°
Answer:
sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]
Step-by-step explanation:
cos = adjacent side/hypotenuse
Then, in a right triangle the adjacent = 2 and the hypotenuse = 3
By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2
9 - 4 = 5
opposite side = [tex]\sqrt{5}\\[/tex]
sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]
An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]
Note: Remember that the sin is positive in the 2nd quadrant.
Please help quickly
ES=____ units.
Round your answer to the nearest tenth.
ES is 8√2 units from the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two points from the graph are S(4, 4) and E(-4, -4)
We need to find ES which means the distance between two points in units.
The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
√(-4-4)²+(-4-4)²
√(-8)²+(-8)²
√64+64
√64×2
8√2 units.
Hence, ES is 8√2 units from the given graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
The number of students at the start of the week that had a late library book was 200 students. By the end of the week there were only 80 students with a late library book? Is it a increase or decrease in by what percentage? 
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
To know more about percentage visit:
https://brainly.com/question/29306119
#SPJ1
PLEASE I NEED HELP EVEN IF ANSWERED
Rewrite
5^2=25
as a logarithmic equations
Answer:
Step-by-step explanation:
Take the log of both sides:
log (5^2) = log 25, or
2 log 5 = log 25 or 2 log 5
Note that 5^2 = 25 is always true.
d minus 2 = 4.6 please help meeee im not good at mathhh
[tex]d-2=4.6[/tex]
Add 2 to both sides:
[tex]d-2+2=4.6+2[/tex]
[tex]\fbox{d = 6.6}[/tex]
Use the dropdown menus to explain how to use mental math to express 12/25 as a percent.
choose your answer...
the numerator and the denominator by
choose your answer...
to get 48/100, which is the same as
choose your answer...
Answer:
In the story Dark They Were And Golden Eyed, by Ray Bradbury, a great story that he develops themes of fear, change and symbol and label. The author uses techniques of similes, metaphors and personification that explain and convey them to the reader very powerfully.
Step-by-step explanation:
hope it helps
Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
To learn more about digital signals click :
https://brainly.com/question/22717116
#SPJ1
The following are the ages (years) of 5 people in a room:
13, 13, 19, 23,19
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Answer:Answer:
the added person age is 26
Step-by-step explanation:
let the added person age is A
the six person mean is (23+19+12+21+13+A)/6=19
=> 88+A/6=19
=>A=(19×6)-88
there fore A=26
Answer:
39
Step-by-step explanation:
13 + 13 + 19 + 23 + 19 + x = 21
6
Combine like terms
(87 + x) / 6 = 21 Multiply both sides by 6
(87 + x ) = 21 * 6
87 + x = 126 Subtract 87 from both sides
x = 126 - 87
x = 39
The 6th person entering the room was 39
I need help with this..there’s an image attached!
Approximate the solution of the system to the nearest thousandth.
y= -4x^2 + 5x + 1
y= -3^x
i only got this far:
-4x^2 + 5x + 1 = -3^x
please help! thanks :)
Answer:
(-0.283, -0.733)
Step-by-step explanation:
There are various ways in which to approximate the solution. One is to use a graphing calculator and graph the two functions separately, then determine the point of intersection. The first function has a parabolic graph that opens down, whereas the second function has an exponential graph which heads downward as x increases.
At first try I found that the two graphs intersect in Quadrant III, at approximately (-1/2, -3/4).
Next I used my calculator's CALC tools, specifically that which finds the coordinates of the intersection of two graphs, ending up with these coordinates: (-0.283, -0.733). These coordinates are to the nearest thousandths.
If and when you take Calculus, you'll learn Newton's Method for Finding Roots, which doesn't require a graphing calculator.
A line on a coordinate plane has a y-intercept of 5 and a slope of 3.what is the slope intercept form of the line?
Answer:
y = 3x + 5
Step-by-step explanation:
Slope intercept form is
y = mx + b
where m is the slope and b is the y-intercept
Given m = 3 and b = 5
y = 3x + 5
-2(4 - 3x) - 6x = 10
Answer:
this is a problem with no solution look it up if you dont beleve me
Step-by-step explanation:
what is the answer thank ya mate
Answer: The ship is going to another planet.
Step-by-step explanation:
I hate i-ready,
Your welcome mate
May someone help me please ? I don't really understand this, and I need it turned in.
9514 1404 393
Answer:
x^2 +y^2 +6x -18y +65 = 0
Step-by-step explanation:
The short of it is that you're being asked to rewrite each of these standard-form equations into general form: f(x,y) = 0.
It can save you a little effort if you recall that the square of a binomial is ...
(a +b)² = a² +2ab +b²
Otherwise, you would use the distributive property to get ...
(a +b)(a +b) = a(a +b) +b(a +b)
= a² +ab +ab +b²
= a² +2ab +b²
__
For the given equation, expanding the squares gives ...
(x +3)² +(y -9)² = 5²
(x² +6x +9) +(y² -18y +81) = 25 . . . . . expand the squares
x^2 +y^2 +6x -18y +65 = 0 . . . . . . . . subtract 25; put in order of decreasing powers of the variables
Jessica and Josh are selling entertainment books to raise money for the art room after school one book sells for $18 Jessica receive the prize for selling the most books in the school Jessica sold 13 times more books than Josh together they sold 280 books how many did each of them sell
Based on the question above, Jessica sold 260 books and Josh sold 20 books.
What is the math equation about?Let x be the number of books Josh sold
We know that:
Jessica sold 13x books
Together they sold 280 books
So we can set up an equation:
x + 13x = 280
14x = 280
x = 20
Josh sold 20 books
Jessica sold 13 * 20 = 260 books
Therefore Jessica = 260 books sold and Josh = 20 books sold.
Learn more about math equation from
https://brainly.com/question/17145398
#SPJ1
ANYONE PLEASE HELP !!!
Answer:
2x^2+1
Step-by-step explanation:
4x^2+2-2x^2-1
Group like terms:
4x^2-2x^2+2-1
2x^2+2-1
2x^2+1
Answer:
2x^2 + 3
Step-by-step explanation:
Subtracting functions is similar to subtracting normal numbers. An easy way to do it is to put one over the other and then combine like terms.
4x^2 + 2
- 2x^2 - 1
= 2x^2 + 3
Even though it looks like you would do 2-1, the three is because you're adding -(-1) (aka 1) to 2.
witch are linear and witch are not linear!?
Step-by-step explanation:
a linear relationship or function is described by
y = ax + b
that means that the difference from one y value to the next is defined by a constant ratio of y diff / x diff.
so, the first one is not linear.
because the difference ratios are not constant :
(1-0)/(1-0) = 1
(4-1)/(2-1) = 3
(9-4)/(3-2) = 5
the second one is linear.
the difference ratios are constant :
(1-0)/(1-0) = 1
(4-1)/(4-1) = 1
(9-4)/(9-4) = 1
the third one is not linear.
the difference ratios are not constant :
(3-1)/(3-2) = 2
(9-3)/(4-3) = 6
(27-9)/(5-4) = 18
the fourth one is linear.
the difference ratios are constant :
(5-1)/(4-2) = 4/2 = 2
(9-5)/(6-4) = 4/2 = 2
(13-9)/(8-6) = 4/2 = 2
What is the volume of a
rectangular prism that has
a height of 3 inches, a
length of 7 inches, and a
width of 4 inches?
Answer:
84in
Step-by-step explanation:
Solve the equation.
4(x + 2) = 40
Answer:
X=9
Step-by-step explanation:
4x+8=40
4x=40-8
4x=32
X=9
Answer:
[tex]\small\mathfrak\green{here \: is \: your \: solution...} \\ \\ \small\mathfrak\green{4(x + 2) = 40} \\ \\ \small\mathfrak\green{4x + 8 = 40} \\ \\ \small\mathfrak\green{4x = 40 - 8 } \\ \\ \small\mathfrak\green{4x = 32} \\ \\ \small\mathfrak\green{x = 32 \div 4} \\ \\ \small\mathfrak\green{x = 8}[/tex]
[tex]\small\boxed{\mathfrak{ Hope \: it \: helps ....}}[/tex]
Someone please help!!! Due tonight, I’ll give brainliest!!!
Answer:
2 * 0.75 + 0.50 + 4 * 1.25
$7.00
Step-by-step explanation:
Expression
2 * 0.75 + 0.50 + 4 * 1.25
Evaluate
1.50 + 0.50 + 5.00
$7.00
What is the sum
No links please
Answer:
Step-by-step explanation:
he total amount resulting from the addition of two or more numbers, amounts, or items
Answer:
(2/5x+1/5x)+(5/8-1/4)
3/5x+(5/8-2/8)
3/5x+3/8
Simplify.
8-3(4-2x)
i’ll mark brainliest :)
Answer:
A. 6x - 4
Step-by-step explanation:
[tex]\sf 8-3(4-2x)[/tex]
Distribute:-
[tex]\sf 8+(-3)(4)+(-3)(-2x)[/tex]
[tex]\sf 8+-12+6x[/tex]
Combine Like Terms:-
[tex]\sf (6x)+(8+-12)[/tex]
[tex]\sf 6x+-4[/tex]
** + * - = -**
[tex]\sf 6x-4[/tex]
Therefore, option A. 6x - 4 is your answer!
_____________________
Hope this helps!
Have a great day!