f(x) is a function that takes some number x and outputs another one.
To get the output value, replace every instance of x in f(x) with the given number.
1. If f(x) = x ² - 4x, then
f (-3) = (-3)² - 4(-3) = 9 + 12 = 21
2. f(x) = x ² - x, so
f (-10) = (-10)² - (-10) = 100 + 10 = 110
3. f(x) = 3x + 1, so
f (-3) = 3(-3) + 1 = -9 + 1 = -8
4. f(x) = 4x - 2, so
f (8) = 4(8) - 2 = 32 - 2 = 30
5. f(x) = x ² + 2, so
f (0) = 0² + 2 = 0 + 2 = 2
Which fraction is equivalent to 2/8??
Item 6
Graph the solution of 4(7−x)<16.
Answer:
x>3
Step-by-step explanation:
4 • (7 - x) - 16 < 0
3.1 Pull out like factors :
12 - 4x = -4 • (x - 3)
-4 • (x - 3) < 0
4.1 Divide both sides by -4
4.2 Add 3 to both sides
x > 3
4.3 Inequality plot for
-4.000 X + 12.000 > 0
function or not a function? justify your answer
domain:
range:
(please help!!! for both please!!!)
Answer:
function
Step-by-step explanation:
I got that answer correct on ed2020
Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3
Answer: No
Step-by-step explanation:
3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.
Hope that helped!
could someone answer these?
To graph the equations (sorry i dont have a camera), use the up/down line and on the 6 put a dot, then move one space to the right, and four squares down to place your next dot. This is for y = -4x+6. To graph y = 4x - 2, go back to the up/down line, to the -2 part, and put a dot. then go to the right once, and up four times to place your next dot. when the lines connect, you should be able to find your point, at (1, 2)
Carlos needs to save an additional $565 before he can purchase a car for his son he plans to save $25 each week at this rate at the end of how many full weeks will he have enough money to purchase the car
Given:
Savings for each week = $25
Amount required before Carlos purchase a car = $565
To find:
The number of full weeks in which he will have enough money to purchase the car.
Solution:
Let the required number of weeks be x.
Savings for 1 week = $25
Savings for x week = $25x
Savings must be greater than equal to $565 to purchase the car.
[tex]25x\geq 565[/tex]
Divide both sides by 25.
[tex]x\geq \dfrac{565}{25}[/tex]
[tex]x\geq 22.6[/tex]
So, the smallest possible integer value of x is 23.
Therefore, 23 week are required to have enough money to purchase the car.
Please give me the correct answer
Answer:
(-3,-2)
Step-by-step explanation:
If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.
(GIVING BRAINLIEST!!)
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices
Answer:
D) 40
Step-by-step explanation:
5 pizzas and as saying above 1/8 that means the pizza is being cut into 8 slices and their is 5 pizzas so the answer will be provided by multipling 8 by 5
Answer:
There are 8 slices in =1 box
8*5
=40 slices in all 5 boxes
How many times should you multiply 15 to equal 60 seconds PLEASE HELP!
Answer:
4 times 15 = 60 answer 4
Step-by-step explanation:
4 times
15+15+15+15=60
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can
Answer:
Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.
Step-by-step explanation:
How do you write 872.8% as a decimal?
Answer:
.82
Step-by-step explanation:
Answer:
8.728
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.
Colin gets £x wages each week. After he pays his tax of £t, he
then pays his rent of £120. He shares what's left between
himself and his wife. How much do they each get?
Answer:
They will each get ;
(x-t)/2 - 60
Step-by-step explanation:
Here, we want to know the amount of money that Colin and his wife gets
we start by subtracting the necessary terms
Mathematically, that would be;
x-t-120
So what each of them get will be;
(x-t-120)/2
= (x-t)/2 - 60
A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations
I assume you want this explained
Answer and explanation:
If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)
The y intercept is -320 and the slope is 5
If for example the number of tickets sold = 100 tickets
Total amount of funds using the function :
f(100)= 5×100-320
=500-320
= $180
Answer:
The slope of the function is 5, and it represents the price of each ticket .
Step-by-step explanation:
Please this is urgent I need help please answer me
Answer:
u have the answer yet?
Step-by-step explanation:
?
1) Find
dy/dx
given y^2= x
A forest covers 68,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
544 acres
Step-by-step explanation:
There is 100% in a whole.
1% is 1/100th of the whole, or 0.01 of it. We get this because 1/100 = 1/100 = 0.01
Similarly, 0.8/100 = 0.008. We then multiply the decimal by the total to get
(0.008) ( 68000) = 544 acres
find the area of the adjoining figure.
please help and find it
i really need it my exam is tomorrow
i will mark you the brainlliast
first lets find Area of triangle bellow
(SRT triangle):
FORMULA: (Base×height)/2
(18×5)/2=90/2=45 cm²
now lets find area of trapezoid (PQSR):
FORMULA: ((base+base)/2)×height
((18+20)/2)×4=19×4=76cm²
now lets add both of the figure's areas to get final answer:
45+76=121 cm²
area of figure is 121cm²
please mark❤️
please help due in 10 mins.
Tides are measured by the heights of the tide above or below sea level. The difference between the two heights represents how much greater the high tide is than the low tide. The table shows the high and low tides and the difference between their heights at each of three locations. Some of the data in the table are missing. Use this information for the problem below.
Answer: Location A: 6.04, since a negative and a negative is a positive. 6.04--1.08=7.12
Location C: 6.9
7.34-0.44=6.9
Step-by-step explanation:
Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
What is high tide and low tide ?Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface. When the highest part, or crest of the wave reaches a particular location, high tide occurs; low tide corresponds to the lowest part of the wave, or its trough.
Given here Difference between high tides and low tides = high tide - low tide
= HT - LT . . . . . . . (1)
thus, Difference between high tide and low tide at location C is = 7.34 -0.44
= 6.9
And high tide at location A is = (Difference between HT & LT) + LT (from eqn 1)
= 7.12 + ( -1.08)
= 6.04
Hence, Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
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last week the tasha cola company had sales of 2,346.87 this week the company had sales of 8,867.14 Which is the estimate ofthe companys total sales for both weeks math problem
Answer:
11,214
Step-by-step explanation:
Given that :
Last week sales = 2,346.87
This week sales = 8,867.14
Total sales for bot weeks :
Last week sales + this week sales
2,346.87 + 8,867.14
= 11214.01
= 11,214
can sme one help me please
Answer:
of course
Step-by-step explanation:
The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?
Answer:
12n
Step-by-step explanation:
∠ABC is twice the value of 6n°
2 times what gives you 7
Answer:
You cannot do 2 times whatever number because 7 is an odd number, whilst numbers getting multiplied by 2 are always even
Step-by-step explanation:
Hope this helps!!!!!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer:
nothing!
unless you mean 1 x 7 or 7 x 1
Step-by-step explanation:
help just help me... please
Answer:
Its going by 3/8.
Step-by-step explanation:
the missing number is 1 5/8. I don't know if I'm right for the second
sales tax rate in New Mexico is 5.125%. A pair of pants in New Mexico costs $30 before tax. How much does the pair of pants cost after tax?
Answer: $31.54 ($31.5375, rounded to $31.54)
Step-by-step explanation: $30 * .05125 = $1.5375, to find our sales tax.
Add this sales tax ($1.5375) to $30 and we get $31.5375
IF IT SAYS TO ROUND TO THE NEAREST HUNDRETH, TYPE:
"31.54"
IF NOT:
"31.5375"
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:
1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.
She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?
Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Answer:
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Step-by-step explanation:
The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.
Therefore, the y-values are indeed doubled for each single increase in x.
Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.
Therefore, the accuracy of Geraldine's statements is mixed.
The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.
Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
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SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER
Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due
Answer:
99.12 lbs are in 45 kilograms.
Step-by-step explanation:
❃We can solve using proportion.
[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]
➼ I rounded to the nearest hundredth
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answer:
The 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Step-by-step explanation:
Given
a₁ = 6common ratio r = 3/2To determine
a₆ = ?
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substituting a₁ = 6, r = 3/2
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
Determining 6th term
substituting n = 6 in the given equation
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]
[tex]=6\cdot \frac{3^5}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:6}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]
Cancel the common term
[tex]=\frac{3^6}{2^4}[/tex]
[tex]=\frac{729}{16}[/tex]
Therefore, the 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464