Plugging the values into a table on desmos, it clearly follows an exponential equation as shown by the equation of best fit. Therefore, the relationship is exponential.
Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?
Answer:
1. Multiply by 3
2. Multiply by 1/3
Step-by-step explanation:
6x - 3y = 3
-2x + y = -14
1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:
6x - 3y = 3
-6x + 3y = 42
2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:
2x - y = 1
Which function of x has the least value for they intercept?
Find the distance between (-5,5) and (2,-2)
Answer:
The distance is 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]
[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]
[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help me find this angle
Answer:
x = 78
Step-by-step explanation:
We can find angle y
D + B + y = 180 since the sum of the angles of a triangle are 180
31+47+ y =180
78+y = 180
y = 180 - 78
y = 102
x+y = 180 since they form a straight line
x + 102 = 180
x = 180-102
x = 78
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
we have to find the value of the x°=<GHC
In the triangle BDH,
<D=31°<B=47°we know that,
Sum of three angle of a triangle is 180°
According to the question,
<D+<B+<BHD=180°31°+47°+<BHD=180°78°+<BHD=180°<BHD=180°-78°<BHD=102°But,
<GHC and <BHD forms a straight line
so,
<GHC+<BHD=180°102°+x=180°x=180°-102°x=78°Therefore,
The value of x is 78°
Find f(-2) for f(x) = 3 *2^x
Answer:
3/4
Step-by-step explanation:
f(x) = 3 *2^x
Let x= -2
f(-2) = 3 *2^(-2)
= 3 * 1/2^2
= 3 /4
Answer:
It is 3/4
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeee...WILL GIVE BRAINLIEST
Answer: Jackie Robinson was an African American baseball player. He had accomplished-
He was well known for-
The rest is up to you :)
Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)
Step-by-step explanation:
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.
Answer:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
A woman's salary is increased by 20%. A week later her company loses one of its best customers and her salary is reduced by 35%. If her salary is now $4446, what was her original salary?
Answer:
$5472
Step-by-step explanation:
Set up a reverse ratio for each change:
4446/x = 65/100
65x = (4446) x (100)
65x = 444,600
x = 6840
Before her salary was reduced by 35%, she was earning $6840.
x/6840 = 20/100
100x = (6840)(20)
100x = 136,800
x = 1368 = 20%
$6840 - $1368 = $5472
Rationalise the denominator of
2√3 + 3√2/4√3 +√2
Answer:
[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]
Step-by-step explanation:
2√3 + 3√2 * 4√3 -√2
4√3 +√2 4√3 -√2
multiply by conjugate
2√3 + 3√2 * 4√3 -√2 = 18 +10√6 = 9 +5√6
4√3 +√2 4√3 -√2 46 23
Answer:
Step-by-step explanation:
To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.
Conjugate of 4√3 + √2 is 4√3 - √2
(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}
= 8*3 - 2*√6+12√6 -3*2
= 24 -2√6 +12√6 - 6
= 24 - 6 + (-2+12)√6)
= 18 + 10√6
[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]
Please help me asap! I don’t understand
Answer:
18
Step-by-step explanation:
4*3 = 12
1/2 * 3 * 4 = 6
HELPPPPPPPPPPP PLSSSSSSSSSSSSS
Answer:
6a+17
Step-by-step explanation:
This is an algebra 'expression' where you have to rearrange the question to the correct 'expression'
4a+2a= 6a
8+9= 17
Answer:
= 4a+2a+8+9
=6a+17
E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis .Find the coordinates of H and G. Please need answer quick with accurate explanation.
Answer:
coordinates of H = (1, 0)
Coordinates of G = ( - 3.6, -2) or (5.6, -2)
Step-by-step explanation:
E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.
Let the coordinates of H is (x, 0) and G is (a, b).
The length of side EF is
[tex]EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5[/tex]
So,
[tex]EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1[/tex]
And
[tex]GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)[/tex]
Now
[tex]FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)[/tex]
Solving (1) and (2)
b = - 2 ,
[tex]a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6[/tex]
what is x: |3x-1| = 4
Step-by-step explanation:
here's the answer to your question
Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x - value of 1 and if it doesn't show an x - value of 1 .
tienees que fijartelos extrreemos
help help help pls pls
Answer:
abcd is a quadrilateral so ,
a is ( 0,-5 )
b is ( 2,-5 )
c is ( 1,-7 )
and d is ( 0,-7 )
I NEEDDDDD HELPPPPPPPPPP!!!!
Answer:
36 units squared
Step-by-step explanation:
10 times 10 - 4 times 4 = 100-16 = 84, take the square root of 84 = 9.12 which rounds to 9, now that we found the height, we use the area of a triangle formula, A=bh/2, so the base is 8 times height 9 = 72 divided by 2 = 36
Your business of household products manufacturing is about to start a venture to producing self-squeezing mops with an initial budget of Php 8,500,000.00. To be competitive in the market, the board plans to sell one unit for only Php 600.00 with a computed variable cost for each of Php 237.00. How many units of the mops shall represent the breakeven point?
Answer:
break-even point in units = 23,416 units (Approx.)
Step-by-step explanation:
Given:
Initial budget of Php = 8,500,000
Sales price of Php = 600
Variable price of Php = 237
Find:
break-even point in units
Computation:
break-even point in units = Initial budget of Php / [Sales price of Php - Variable price of Php]
break-even point in units = 8,500,000 / [600 - 237]
break-even point in units = 8,500,000 / 363
break-even point in units = 23,415.978
break-even point in units = 23,416 units (Approx.)
ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer:
4 weeks per level
Step-by-step explanation:
notice the pint (1,4)
the next is (2, 8)
meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.
What would be the denominator after rationalizing 7/(5√3 - 5√2)?
Answer:
The denominator will be [tex]5\sqrt{3} +5\sqrt{2}[/tex]
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x -4
h(x) = 3/4 x
h(x) = 1/4 x
Step-by-step explanation:
h(x) = 1/4 x
tha is the answer
Brainly to whomever solves these proportion questions! I will give brainly to whomever has the most detailed answer, but I WILL report unrelated and unhelpful questions ( the more reports you get, the quicker you get kicked of brainly - SO DON'T TRY ME)
Answer:
a.) terry didn't line up the triangle correctly. 4/y = 20/18
b.) (20+16)/18
Step-by-step explanation:
for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)
for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.
PLEASE I REALLY NEED HELP ON THIS I'LL GIVE BRAINLIEST!
Answer:
Yes Ella has enough to make 30 mince pies
Step-by-step explanation:
to make 36 mince pies you will need
400g of butter
500g of flour
300g of sugar
500g of mince meat
2 eggs
Ella has 1000g of butter
1000g of flour
500g of sugar
600g of meat
6 eggs
these ingredients are more than enough because
1000g-400g=600g-butter
1000g-500g=500g flour
500g-300g=200g sugar
600g-500g=100g mince meat
6-1= 5 eggs
if she were to follow the 36 pie recipe, which is two times the 18 pie recipe
but like I don't know, because it says a recipe for 18 mince pies, but in the box it says 12
art I) 69% 2
Amelia is 1.5 m tall. She is standing in front of a tree. Her friend places a
mirror on the ground and moves it until Amelia can see the top of the tree.
The mirror is 4 m from Amelia and 12 m from the tree. How tall is the tree?
a
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
Round 832.078107648 to the nearest whole number
Answer:
8.32*10^2 or
832.08
Step-by-step explanation:
Sophia has 3 forths
of a turkey sub sandwich. She cut the sandwich into 2 equal portions to share with her friend. How much of the sandwich will each girl get?
Answer:
Each girl will get 3/8 of a sub
Step-by-step explanation:
3/4 ÷ 2
Copy dot flip
3/4 * 1/2
3/8
Each girl will get 3/8 of a sub
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. A 43 + 72x ≤ 1,128 B43 + 72x ≥ 1,128 C43x + 72 ≥ 1,128 D 43x + 72 ≤ 1,128
Answer:
D
Step-by-Step Explanation:
You can mark out B and C because the amount of money they spend has to be less or equal to the amount of money they have.
A is wrong because we already know the total price for the movies. We know the price of the games are $43 each. X is the amount of game she can afford to get.
So in conclusion, D is the correct answer.
Choose ALL of the ordered pairs that are solutions to the equation.
5y = 2x - 7
a) (6, 0)
b) ( 7, 21)
c) (8, 18)
d) ( -3, 4)
b) ( 7, 21)
Step-by-step explanation:
5(7)=2(21)-7
35=42-7
35=35
Answer:
None of them
Step-by-step explanation:
a: 5*0=2*6-7 False
b: 5*21=2*7-7 False
c: 5*18=2*8-7 False
d: 5*4=2*-3-7 False
Mark invests $8,008 in a retirement account with a fixed annual interest rate of 2% compounded 6 times per year. What will the account balance be after 16 years?
Please help i need the answer by tomorrow!
Given:
Principal value = $8,008
Rate of interest = 2% compounded 6 times per year.
Time = 16 years
To find:
The account balance after 16 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of times interest compounded in an year and t is the number of years.
Putting [tex]P=8,008, r=0.02,n=6,t=16[/tex] in the above formula, we get
[tex]A=8008\left(1+\dfrac{0.02}{6}\right)^{6(16)}[/tex]
[tex]A=8008\left(\dfrac{6.02}{6}\right)^{96}[/tex]
[tex]A=11022.1721148[/tex]
[tex]A\approx 11022.17[/tex]
Therefore, the account balance after 16 years is $11022.17.
Simplify the expression.
40 -2.32
A. 4
B. 342
C.
22
D. 28
Answer:
37.68
Step-by-step explanation:
40 -2.32
= 37.68
Answer: is C. 22
Step-by-step explanation:
Pls help me this is my homework
Answer
34 match sticks (C)
please mark me as brainliest and pls someone answer my question also
Answer:
Step-by-step explanation:
for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c
in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.
if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.
but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)