Answers
Answer:
f(x) = 3x +4f(x) = 5x +2f(x) = -4x +11f(x) = -4x +11 (same table as problem 3)Step-by-step explanation:
To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.
The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...
m = (y2 -y2)/(x2 -x1)
where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.
__
1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))
y = mx +b . . . . line with slope m and y-intercept b
f(x) = 2x +4
__
2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5
f(x) = 5x +2
__
3. m = (11 -19)/(0 -(-2)) = -8/2 = -4
f(x) = -4x +11
__
4. same as 3.
Related Questions
HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters
Answers
Answer:
inches
Step-by-step explanation:
pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.
You earn
$10 per hour working as a manager at a grocery store.
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
$
do not want to work more than 20 hours
but you
per week.
a. Write and graph a system of linear inequalities
that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons.
Answers
We want to get a system of inequalities that models the given situation.
The solutions are:
a) The system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0And the graph can be seen at the end.
b) A solution can be x = 12 and y = 2
c) x = 8 and y = 1 is not a solution.
First, we need to define two variables:
x = number of hours working as a manager.y = number of hours teaching lessons.a) First, we know that you must at least 8 hours per week in the grocery store, then:
x ≥ 8
We know that you need to earn at least $120 per week, then we have the inequality:
x*$10 + y*$15 ≥ $120
And you don't want to work more than 20 hours per week, this gives:
x + y ≤ 20.
We also add the trivial restriction:
y ≥ 0
Then the system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0The graph can be seen at the end.
b) The solution region is the interception of the four shaded regions (is the dark blue part).
A solution in that region can be:
x = 12
y = 2
c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/2065712
Please please help meee please help meeee
Answers
Answer:
i. $3000
ii. $9000
Step-by-step explanation:
25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.
Find the solution of the system of equations.
−
10
x
−
9
y
=
−10x−9y=
10
10
8
x
+
9
y
=
8x+9y=
10
10
Answers
Answer:
sitting ai week few ai is
A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.
Answers
Answer:
355 ounces
Step-by-step explanation:
Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:
[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]
"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.
[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]
[tex]\frac{352oz}{1} + 3 = x[/tex]
[tex]352+3 = x[/tex]
[tex]x=355[/tex]
So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)
NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo
Answers
Answer:
D - Two.
Step-by-step explanation:I took the test and this was the correct answer.
Please help me please help mee
Answers
if you help ill mark you brilliant
Answers
Answer:
8/5
Step-by-step explanation:
hope this helps :D
How do you show that x=6 is an true equation ?
Answers
x = 6 can be represented on the number line and hence it is real
Step-by-step explanation:
by simply plugging in 6 for x thus
x=6 becomes 6=6 which is true
A box of baseballs costs $66. 12. Which equation represents the cost, c, of n boxes?
Answers
Answer:
C
Step-by-step explanation:
cost=price of one box (number of boxes)
:))
24 pens in 2 boxes How many pens in 1 box?__________
find unit rate
Answers
If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?
A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.
Answers
Answer:
Step-by-step explanation:
Correct answer:
3√3
Explanation:
General formula for the diagonal of a cube if each side of the cube = s
Use Pythagorean Theorem to get the diagonal across the base:
s2 + s2 = h2
And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:
h2 + s2 = d2
s2 + s2 + s2 = d2
3 * s2 = d2
d = √ (3 * s2) = s √3
So, if s = 3 then the answer is 3√3
solve pls brainliest
Answers
Answer:
192
Step-by-step explanation:
Volume of a rectangular prism = length times width times height.
For the following prism, length = 4, width = 6 and height = 8
So volume would equal 4 * 6 * 8 = 192ft²
A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?
Answers
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
We apply our knowledge of slope intercept form:
y = 1/2 x + b
therefore, we plug in the values for x and y getting
-3/2 = 0 + b
so b = -3/2, plug it back into the equation getting
y = 1/2x - 3/2
algebra 2 is really difficult please help me no bogus answers please
Answers
#1
Discount is 40%=0.04xSo the function is
e(s(x))=0.04x#2
[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]
[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]
[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]
{Find the number that is missing from the equation}
Question 1 →3 + __________ = (-7)
Question 2 → Solve : (-9) + 18 + (-2) + (-5) + 9.
Answers
Answer:
-10
and I think it's 11 or 7
Write each decimal as a mixed number or fraction in simplest form.
24. 1.4
25. 0.33
26. 0.24
27. 4.44
28. 2.8
29. 0.05
30. 0.005
31. 7.32
Answers
-33/100
- 24/100
-4 11/25
-2 4/5
-1/20
-1/200
-7 8/25
It goes in order from the way you put it .
what is the right answer
Answers
Answer:
C. The third option
Step-by-step explanation:
square root of 3 = 1.73
2/6 = 0.333
254% = 2.54
I hope that this helps!
Solve for b
Is it square root 39?
Or
Square root 89?
Answers
Answer:39
Step-by-step explanation:
Answer:
[tex]\sqrt{39}[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]b^2+5^2=8^2[/tex]
We can rearrange this equation to find b:
[tex]b^2=8^2-5^2\\\\b^2=64-25=39\\\\\sqrt{b^2}=\sqrt{39}\\\\b=\sqrt{39}[/tex]
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answers
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
Find the next two numbers in the pattern -96, 48, -24, 12,...
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]2x-y=5
2x-5y=-31
elimation method
Answers
Answer:
y=9, x=7
Step-by-step explanation:
2x-y=5 --> equation 1
2x-5y=-31 --> equation 2
change signs of equation 1
-2x+y=-5
solving method
-2x+y=-5 (cut -2x and 2x because -2x+2x =0)
2x-5y=-31 (likewise +y-5y and -5-31)
-4y= -36 (since -4 is multiplying on right side it will divide)
y= -36/-4 (cut negative with negative and simplify equation)
y= 9
put value of y in equation 1
2x-y=5
2x-9=5
2x= 14
x=14/2
x=7
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Answers
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
Which number is greater explain your reasoning .375 or 3/8? help!
Answers
Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375
Step-by-step explanation:
3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.
[tex]\huge \dag \sf{Answer \: it}[/tex]
[tex]{\huge{\underline{\small{\mathbb{\pink{REFER \ TO \ THE \ ATTACHMENT}}}}}}[/tex]
Note: Only For best users
Spammers stay away
Spams and Copy not allowed
Need explanation not only answer
Don't answer if you don't know
Thank You!
Answers
Answer:
A. 8
Step-by-step explanation:
We are given the functions:
[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]
We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.
As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.
[tex]f(g(x))=\sqrt{(7x+b)}[/tex]
The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.
[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]
Therefore, the value of b is equal to 8.
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answers
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
Select two numbers that make the inequality true.
1/2x<10
Answers
Answer:
Any numbers below 20
Step-by-step explanation:
1/2x<10
Hope this helps :)
9y?+21yz -8y?
hey, cansomebody help me? we've to factorize.
Answers
y ( y + 21 z^4 )
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 9y² + 21yz⁴ - 8y²
Simplify the expression, then we have
⇒ 9y² + 21yz⁴ - 8y²
⇒ y² + 21yz⁴
Factorize the expression, then we have
⇒ y² + 21yz⁴
⇒ y(y + 21z⁴)
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.
Answers
Time can't be negative so we need to get absolute value of x .
Heyyy , can you help me please and thank you
Answers
Answer:
18
Step-by-step explanation:
Total=70.
Last week she posted= 2/5 of 70= She posted 28 last week
So, 42 left
then, she posted 4/7 of remaining (42)
4/7 of 42 is 24
42-24= 18
She still needs to post 18 flyers
HOPE THIS HELPS!
Answer:
OK, so she started with 70 fliers.
Last week, she posted 2/5 of them. 2/5 of 70 is equal to 28, so she has 28 fliers less than she started with. 70-28=42.
This week, she posted 4/7 of the remaining fliers (42). 4/7 of 42 is equal to 24. So, she has 24 less than 42, so 42-24=18.
She still needs to post 18 fliers.
Hope this helps!!!