Answer:
below.
Step-by-step explanation:
f(6) = 0 because (x - 6) ---> (6 - 6) = 0
Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Solve by factoring
6x^2 +13x -28 =0
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?
Answer:
3.39
Step-by-step explanation:
divide 10.17 by 3 to get the size of each section
A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?
Answer:
$28.5
Step-by-step explanation:
Express -5/8 as a rational number with -24 as the denominator
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24
[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]
please mark this answer as brainlist
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
Please help solve this. 10points worth it
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
x + x(x + y) + y; use x = 4, and y = 1
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x + x(x + y) + y}[/tex]
[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]
[tex]\huge\text{= 4 + 4(5) + 1}[/tex]
[tex]\huge\text{= 4 + 20 + 1}[/tex]
[tex]\huge\text{= 24 + 1}[/tex]
[tex]\huge\text{= 25}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Hi,
we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1
equation: X + X (X + Y) + Y
equation after substituting the numbers: 1 + 1 (1 + 4) + 1
Bidmas rules apply.
expand the bracket first. 1 (1 + 4)=
1 X 1= 1
1 X 4= 4
1 + 4 = 5
then the equation becomes: 1 + 5 + 1= 7
your answer is 7 if you want to evaluate it.
your answer is 1 + 1 (1 + 4) + 1 if you need the equation.
, hope that helps :)
Find the nth term of 4,8,14,22
Answer:
2n+2
Step-by-step explanation:
the common difference is 4,6,8
again the common difference of 4,6,8 is 2,2
hence its common difference is 2
now, nth term,=a+(n-1) *d
4+(n-1)*2
4+2n-2
2n+2
What is the trigonometric ratio for sin C?
Enter your answer, as a simplified fraction,
In the boxes.
==========================================================
Explanation:
We have a triangle with these three sides.
a = 80b = unknownc = 82Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answer:
14
Step-by-step explanation:
19 - 5 = 14
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
What is the equation of the line?
I need help ASAP!! Please help me
Answer:
Step-by-step explanation:
Answer:
angle 1 = 80
angle 2 = 80
Step-by-step explanation:
in rhombus all sides are equal and also diagonals bisects each other
so
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation:
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]
[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]
[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]
[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]
[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]
[tex]\\ \sf\longmapsto x-y=0[/tex]
Now
[tex]\\ \sf\longmapsto 4x-4y-4[/tex]
take 4common[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]
Put the value[tex]\\ \sf\longmapsto 4(0-4)[/tex]
[tex]\\ \sf\longmapsto 4(-4)[/tex]
[tex]\\ \sf\longmapsto -16[/tex]
which of the following are remote interior angles of 5 ?
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answer:
I did this same answer on another app
hope this help☺️
Write the equation of the graph shown below in factored form.
f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)
Answer:
(x+2)2(x+1)(x+4)
Because
x=-4. x=2. x=-1
(x+4). (x+2). (x+1)
Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?
Answer:
3 road bikes and 2 tandems
7 people
Step-by-step explanation:
25b + 40t = 155
b=3 and t = 2
Check
25*3 + 40*2 = 155
75+80 = 155
Assuming 1 person per road bike and 2 people per tandem
3*1 + 2*2 = 3+4 = 7
Solve for x. Enter your answer using digits. 4x−14+6=12 x=
Answer:
x = 5
Step-by-step explanation:
Given
4x - 14 + 6 = 12 , that is
4x - 8 = 12 ( add 8 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
Show working please
Answer:
Step-by-step explanation:
1.159 R (remainder) 42
| ------------------------
73 | 84.649
-73
116 (brought 6 down)
-73
434 (brought 4 down)
-365
699 (brought 9 down)
-657
42 is the remainder
↪[tex] \: \: \: \: \: \: \: \: \: \: \huge \rm{answer:} \boxed{ \purple{42}}[/tex]
[tex] \huge \red {\boxed{\sf{armed \: account}}}[/tex]
[tex] \huge\frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm1159r42}{ \: 73) \: \:84649} \\ \huge \frac{ - 73}{ \: \: \: \: \: \: 116} \\ \huge \frac{ \: \: \: \: - 73}{ \: \: \: \: \: \: \: \: \: 434} \\ \huge \frac{ \: \: \: \: \: \: - 365}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 699} \\ \huge\frac{ \: \: \: \: \: \: \: \: \: \: - 657}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{42} }[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖
And that's it! Hope it wasn't too hard to understand✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Step-by-step explanation:
[tex] \huge \rm{Hope \: this \: helps}[/tex]
Use substitution to solve the following system of equations. What is the value of y?
Answer:
y = 6Step-by-step explanation:
Use the second equation:
2x - y = 2 ⇒ y = 2x - 2Substitute this into first equation:
3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4Now find y:
y = 2*4 - 2 y = 8 - 2y = 6It is given that,
→ 2x - y = 2
Convert the equation as,
→ y = 2x - 2
First we should,
find the required value of x.
→ 3x + 4(2x - 2) = 36
→ 3x + 8x - 8 = 36
→ 11x = 44
→ [x = 4]
Let's find the required value of y,
→ y = 2x - 2
→ y = (2 × 4) - 2
→ y = 8 - 2
→ [y = 6]
Therefore, the value of y is 6.
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]
Answer:
X is 11.8
Step-by-step explanation:
You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
