f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
Peggy earned $20 for each lawn she mowed last summer. This summer, she raised her price to $23 per lawn. What is the percent increase of Peggy’s charges?
Answer:
15 percent
Step-by-step explanation: You will substract the new value from the old value.
23-20
Now you will get the difference between them and divide that by the original amount.
3/20
This will equal 0.15 in which you now multiply by 100
15 percent
Write an equation of the line that passes through the points (3,6) and (4,9)
Answer:
y=3x-3
Step-by-step explanation:
slope = change in y/change in x
slope = 3/1 = 3
y-intercept = y value when x=0
go 3u left, 3x3 = 9 so 9u down
(0,-3)
slope = m = 3
y-int = b = -3
y=mx+b
y=3x-3
What is the quotient? 2 1/5/1-/10
the answer is -0.22
[tex] \: \: \: [/tex]
[tex] = \: \: \: \: - 22[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]
convert the mixed number to an improper fraction[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]
use - a / b = a / - b = a - / b to rewrite the fraction[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]
simplify the complex fraction[tex] = \: \: \: - 22[/tex]
hope it helpsDefine linear relationship. Give an
relationship.
PLESE HELP
Answer:
in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution
Chris bought 25.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. How many liters of gasoline did Chris buy?
Answer:
Chris bought approximately 96.52 liters of gasoline.
Step-by-step explanation:
Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).
25.4 * 3.8 = 96.52
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
What is the value of the sin each of the following 5607 506 702 803 562
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
HELP PLEASE!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-4, 10) 10
(-8,-6)
The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
To find the slope of a line, we use the formula:
slope = (change in y) / (change in x)
We can use the given points (-4, 10) and (-8, -6) to find the slope:
change in y = (-6) - 10 = -16
change in x = (-8) - (-4) = -4
slope = (-16) / 4 = 4
Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.
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can u answer this question?
Step-by-step explanation:
sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.
if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.
really, that is all that is there to it.
so,
|11| = 11
|-12| = 12
no big magic, no mystery, no tricks or formulas to know.
it just is ...
Which description best describes the association between variables x and y?
A.strong positive
B.strong negative
C.weak positive
D.weak negative
Answer:
A. Stong positive
Step-by-step explanation:
Both the x and y variables move into the higher number on the chart!
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning form them:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
The airplane is 12 ft long.
Step-by-step explanation:
If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)
Answer:
12 ft
Step-by-step explanation:
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
please help me!
ty :)
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=
Answer:
Step-by-step explanation:
4x - 1 = 3(x + 1)
4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]
4x = 3x + 4 [add 1 to both sides]
1x = 4 [Subtract 3x from both sides]
x = 4
===
Try it:
4x - 1 = 3(x + 1): ??
4*4 - 1 = 3(4 + 1) ??
15 = 3(5)
15 = 15 yes
how many real square roots does -1 have?
There are no real square roots does -1 have.
-1 is negative, it does not have a real square root.
Here, we have,
we know that,
The number -1 does not have any real square roots.
In the real number system, a square root of a number is a value that, when squared, gives the original number.
However, when we square any real number, the result is always non-negative.
Since -1 is negative, it does not have a real square root.
It is 0 because there are no square roots for negative numbers.
Hence, There are no real square roots does -1 have.
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- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
pleaseeeeeee helpppppppp
Answer:
B) Multiplying by 0
Step-by-step explanation:
This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.
Hope this helped :)
At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
Solve the equation.
a-6=13
Answer:
a=19
Step-by-step explanation:
In this equation you want to solve for a
In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.
a - 6 = 13
+6 +6 (-6+6 = 0) (6+13=19)
a = 19
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.
40 dollars
Step-by-step explanation:
Answer:
y = 8 + 4x
Step-by-step explanation:
y is the total cost of 1 skating experience.
y = 8 + 4x
This can be read as: the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented. No snacks included.
220 m in 20 s
What is the unit rate?
Answer:
m/s ...................................
If you are SMART? What is 100 x 100 without using a calculator?
Answer:
i got you it 10,000
Step-by-step explanation:
all you have to do is add the zeros
4. Find the range of f(x) = -x + 4 for the domain {-3, -2, -1, 1}.
O {7, 6, 5, 3}
O {-7, -6, -5, -4}
O {7, 6, 5,4}
O {-7, -6, -5, 3}
Will mark brainliest (2 possible answers. NO LINKS OR ANSWERS WITHOUT EXPLANATION)
A box and whisker plot is made up of 5 pieces of information: the minimum, 1st/lower quartile, median, 3rd/upper quartile, and maximum.
Start by placing a dot on the minimum and maximum values. These are the "whiskers" of the box plot.
Next, we'll graph the lower and upper quartiles. On these values, draw vertical lines. We are given the lower quartile, but will need to find the upper quartile.
IQR = upper quartile - lower quartile
225 = x - 120
x = 345 minutes = 5 hours, 45 minutes
Now that we know the upper quartile, you will also draw a line on that value. Feel free to connect the lines to make the "box".
Lastly, we'll graph the median. This is another vertical line on the value. It should be directly in the middle of the lower and upper quartiles. It will be inside the box.
Hope this helps and if you have any further questions, please let me know! :)
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2. 9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.
The margin of error of the random selection is 0.29
The given parameters are:
[tex]n = 320[/tex] --- the sample size
[tex]\sigma = 2.9[/tex] --- the standard deviation
[tex]\bar x = 24[/tex] --- the mean
[tex]\alpha = 90\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]
[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]
[tex]E = 1.645 \times \sqrt{0.032}[/tex]
Take square roots
[tex]E = 1.645 \times 0.1789[/tex]
Multiply
[tex]E = 0.2943[/tex]
Approximate
[tex]E = 0.29[/tex]
Hence, the margin of error is 0.29
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Name an example of a real life use of the sine graph.
Answer:
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
im sorry if its wrong I just search this :)
ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
168- blank gives 48 aim confused
Answer:
168 subtracted by 120 is going to equal 48
Step-by-step explanation:
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.