Answer:
Marty's with a slope of 1/3
Step-by-step explanation:
The functions Marty and Ethan wrote are analyzed the find the slope of each of the function
The equation Marty wrote is presented here as follows;
[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]
Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;
[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]
[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]
[tex]y = \dfrac{1}{3} \cdot x[/tex]
By comparison, the slope of the function, m = 1/3
[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]
Marty's function has a slope of m = 1/3
Ethan has the following two column table;
[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]
The slope, m, of the data in the above table is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;
[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]
Ethan's function has a slope of m = 1/5
Therefore;
Marty's slope of 1/3 is larger, given that 1/3 > 1/5.
Answer:
C. Marty’s with a slope of 1/3
Step-by-step explanation:
Did the test and got it correct
Please help I’ll mark as brainliest !
Answer:
x = 0.6
Step-by-step explanation:
2(x+4)+8x = 14
2x+8+8x = 14
10x+8 = 14
10x = 6
(divide by 10)
x= 0.6
If f (x) = 1/9 x-2, what is f-1(x)?
Given:
The function is:
[tex]f(x)=\dfrac{1}{9}x-2[/tex]
To find:
The value of [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{1}{9}x-2[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\dfrac{1}{9}x-2[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{1}{9}y-2[/tex]
Step 3: Isolate the variable [tex]y[/tex].
[tex]x+2=\dfrac{1}{9}y[/tex]
[tex]9(x+2)=y[/tex]
[tex]9x+18=y[/tex]
[tex]y=9x+18[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=9x+18[/tex]
Therefore, the required function is [tex]f^{-1}(x)=9x+18[/tex].
Answer the question. Will give Brainliest to whoever gets it right.
Answer:
27 feet
Step-by-step explanation:
they go 27 feet because 15+6+6=27
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
i need serious help grades go in tonighttt
Yolanda makes wooden boxes for a craft fair. She makes 250 boxes as the one shown, and she wants to paint all the outside faces. 6 in.4 in.2 in. Find the surface area of one box. The surface area is square inches.
Answer:
88 square inches
Step-by-step explanation:
Surface Area =2(lw + lh + hw)
Length, l = 6 in
Width, w = 4 in
Height, h = 2 in
Surface Area = 2(lw + lh + hw)
= 2(6*4 + 6*2 + 2*4)
= 2(24 + 12 + 8)
= 2(44)
= 88 square inches
surface area of one box = 88 square inches
the function h (x) =-16x2+200 give the height, in feet of a ball after x seconds since being dropped from a cliff consider h(3) and it’s meaning in this solution
Answer:
Answer is the explanation!
Step-by-step explanation:
We know that x is the amount of seconds after the ball is dropped from the cliff and h is the height after that many x seconds.
So h(x) will represent the height of the ball after x seconds.
Meaning h(3) will reprensent the height after x seconds of being drooped.
We can simply replace x with 3 to find the height of it being dropped after 3 seconds.
Hoped this helped,
JoeLouis2
Answer:
Step-by-step explanation:
h(3) = -16(3)^2 + 200 = 56 (feet). This is the height of the ball 3 seconds after having been dropped from a cliff, as measured upward from ground level.
Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2
Answer:
y=-3x+15
is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2
Step-by-step explanation:
find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.
hope this helps
A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?
Answer:
$5.20
Step-by-step explanation:
A dozen is 12, so multiply by two.
2.60 * 2 = $5.20
Answer:
5.20 for 12
Step-by-step explanation:
2.60 for 6
2.60*2=12
5.20 for 12
Using distributive property What expression is equivalent to (p-q)(3)
[tex]\longrightarrow{\green{3p-3q}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](p - q)(3)[/tex]
Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have
[tex] = (3 \times p) - (3 \times q)[/tex]
[tex] = 3p - 3q[/tex]
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
3p - 3q
Step-by-step explanation:
( p - q ) ( 3 )
use distribute property which means multiply each terms in the parantheses by 3.
3 × p - 3 × q
3p - 3q
The thousand bolt factory used 9 boxes, 9 cases, and10 bags, to fill an order. How many bolts did they pack
Answer:
I think this the answer
Step-by-step explanation:
The Thousand Bolts factory has an order for 3,140 bolts. How can it pack the order using the fewest packages?
A particular sound wave can be graphed using the function y = -1 sin 5x. Find the period of the
function. (This is multiple choice.)
period =2/5pie
o
period = 1
O
period = -1
period 2/5
the third answer is correct
find the value of n
3n-10
n=
10-3=N
N=7
Step-by-step explanation:
hope you like it
Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos. ¿Cuánto dinero le corresponde para los demás gastos?
Answer:
Demas gastos= $492.000
Step-by-step explanation:
Dada la siguiente información:
Una persona que gana $2460000, invierte 35% en arriendo, 20% en alimentación, 25% en diversión y el resto para los demás gastos.
Primero, debemos determinar cuanto gasta en cada item:
Arriendo= 2.460.000*0,35=861.000
Alimentación= 2.460.000*0,20=492.000
Diversión= 2.460.000*0,25= 615.000
Total= $1.968.000
Ahora, lo que gasta en "demás gastos":
Demas gastos= 2.460.000 - 1.968.000
Demas gastos= $492.000
If you have a bag full of balls. It has 6 blue balls, 6 red balls, and 6 green balls. Let's say you take three balls randomly at a time, what is the probability of you taking one ball of each colour?
Answer:
1/18 I believe or it should be 1/3. May be wrong, sorry
((PLEASE HELPP)
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
1.)-5x+y=10
-25x+5y=50
2.)3x-7y=9
-4x+5y=1
3.)y=6x-2
y=6x-4
Answer:
1 has 1 solution
2 has one solution
3 has no solutions The lines are parallel
3-2i/1+4i include each step necessary in simplifying
Answer:
[tex]\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i[/tex]
Step-by-step explanation:
[tex]\frac{3-2i}{1+4i}[/tex] <-- Given
[tex]\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i}[/tex] <-- Multiply by the conjugate of the denominator as a factor of 1
[tex]\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}[/tex]
[tex]\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)}[/tex] <-- Use the Distributive Property and FOIL
[tex]\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}[/tex]
[tex]\frac{3-10i-8i^2}{1-16i^2}[/tex]
[tex]\frac{3-10i-8(-1)}{1-16(-1)}[/tex] <-- Rewrite [tex]i^2[/tex] as [tex]-1[/tex]
[tex]\frac{3-10i+8}{1+16}[/tex]
[tex]\frac{11-10i}{17}[/tex]
[tex]\frac{11}{17}-\frac{10}{17}i[/tex] <-- Rewrite in [tex]a\pm bi[/tex] form
Identify the percent of increase from 24 to 144. (round to the nearest tenth of a percent)
What expression represents 7 less than the product of 11 and 4
Answer:
(11*4)-7=37
Step-by-step explanation:
Answer:
(11 × 4) - 7
37
Step-by-step explanation:
7 less than 11 × 4
(11 × 4) - 7
44 - 7
37
Elsie had a balance in her checking account of -$32. If she wrote a check for $12, what would her balance be then?
Answer:
-20
Step-by-step explanation:
because -32 plus 12 is -20
hope that helps!!
the table below does not represent a function why?
Answer:
Because X (10) repeats
Step-by-step explanation:
A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function
You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.
Answer:
The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.
We have x = 10 twice with different f(x) associated, 5 and 20.
If we plot those points they will be on same vertical line, thus the vertical line test is failed.
Please help me with this!
Answer:
common
Step-by-step explanation:
Answer:
10. A
11. C
Step-by-step explanation:
Hope this is correct. If it is wrong please feel free to critique my mistake(s). I'm sorry in advance if it is incorrect.
If f(x) = 2x-5, then 114) is
O 17
05
04
3
Which algebraic expression is a polynomial with a degree of 2?
Answer:
X ²
Step-by-step explanation:
if it helped you plz follow to get more helps
For the triangles to be congruent by HL, what must be the value of x?
2
3
4
7
We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.
Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.
So we can set an equation as:
2x + 1= 9
Upon subtracting 1 from both sides we will get,
2x+1 -1 = 9-1
2x=8
Dividing both sides of our equation by 2 we will get,
x= 4
For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.
What is the HL Congruence Theorem?If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.
Therefore, the two corresponding parts of the right triangles are given as:
2x + 19Thus:
2x + 1 = 9 (HL Congruence Theorem)
Solve for x2x = 9 - 1
2x = 8
x = 4
Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.
Learn more about the HL Congruence Theorem on:
https://brainly.com/question/4155972
Type the correct answer in each box.
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (, ). The coordinates of the point that is a reflection of Y across the y-axis are (, ).
Reset Next
Answer: G
Step-by-step explanation:
Data: Point which has the coordinates of (-2.5, 5.5)=x
Only step, find those two coordinates on the table
Explanation: Since the question is asking you to find which point has those two coordinates, all you have to do is instead of finding all the coordinates of the points, just search for the coordinates provided and see what point it lands on.
For this problem, it lands on Point G so the answer is Point G(or just G)
I hope this helps!
what is the solution to x^2 + 6x +7
Answer:
D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]
Step-by-step explanation:
[tex]x^2+6x+7=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]
[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully
[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]
[tex]x=-3\pm\sqrt{2}[/tex]
word problem
note : solve this with language
what is the perfect square which has 19 as one of the two equal factor
Answer:
Is the answer not 361?
Step-by-step explanation:
Square 19.
Im not sure what the question is.
please answer thisssssssssssss
Answer: it is e and b
Step-by-step explanation:
a snowmobile manufacturer claims that the newest model is 20% lighter than the black and white of a picture of metal weighs 645 lb how much did last year's model weigh
Answer:
so to find the weight of this years model we do this
645*0.8=516
so the answer is 516
Hope This Helps!!!
