Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
[tex]f(x) = 490 * 0.88^x[/tex]
Leo
[tex]x \to g(x)[/tex]
[tex]0 \to 480[/tex]
[tex]2 \to 360[/tex]
[tex]4 \to 470[/tex]
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
[tex]f(x) = 490 * 0.88^x[/tex]
[tex]f(0) = 490 * 0.88^0[/tex]
[tex]f(0) = 490 * 1[/tex]
[tex]f(0) = 490[/tex]
From Leo's table
[tex]g(0) = 480[/tex]
By comparison;
[tex]f(0) > g(0)[/tex]
i.e.
[tex]490 > 480[/tex]
So: Tonya's had the greater initial trade-in value
Solving (b): The phone with lesser rate
An exponential function is:
[tex]y = ab^x[/tex]
Where:
[tex]b \to rate[/tex]
For Tonya
[tex]b = 0.88[/tex]
For Leo, we have:
[tex](x_1,y_1) = (0,480)[/tex]
[tex](x_2,y_2) = (2,360)[/tex]
So, the equation becomes:
[tex]y = ab^x[/tex]
[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]
Solving [tex]480 = ab^0[/tex], we have:
[tex]480 = a * 1[/tex]
[tex]480 = a[/tex]
[tex]a= 480[/tex]
[tex]360 = ab^2[/tex] becomes
[tex]360 = 480 * b^2[/tex]
Divide both sides by 480
[tex]0.75 = b^2[/tex]
Take square roots
[tex]0.87 = b[/tex]
[tex]b=0.87[/tex] -- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
Which expression is equivalent to
Answer:
[tex]\frac{(x+2)}{(x-1)}[/tex]
Step-by-step explanation:
[tex]\frac{x^2 + x -2}{x^2 -2x+1}[/tex] =
[tex]\frac{(x+2)(x-1)}{(x-2)(x-1)}[/tex] =
[tex]\frac{(x+2)}{(x-1)}[/tex]
X^2 - 2x + 6 = 0
Show all work
Answer:
x= plus or minus 1 plus imaginary root times square root of 5.
Step-by-step explanation:
[tex] {x}^{2} - 2x + 6 = 0[/tex]
Complete the Square.
[tex] {x}^{2} - 2x = - 6[/tex]
[tex] {x}^{2} - 2x + 1 = - 5[/tex]
[tex](x - 1) {}^{2} = - 5[/tex]
[tex]x = + - 1 + i \sqrt{5} [/tex]
please help!! asap need 5 and 6
Answer:
both substitutions
Step-by-step explanation:
in 5. based on 3 BC is substituted by its equal counterpart AB.
and in 6. we use 1. to substitute AC by its associated absolute value.
Find the value of x. Round the length to the nearest tenth.
Answer:
[tex]x=opposite\: side\: of \:22[/tex]
[tex]16=hypotenese[/tex]
[tex]sin22=opp/hyp[/tex]
[tex]sin22=\frac{x}{16}[/tex]
[tex]\Longrightarrow x=16\times sin22[/tex]
[tex]x=5.99[/tex]
[tex]x=6.0[/tex]
[tex]OAmalOHopeO[/tex]
find value of the variable
Answer:
x=10
Step-by-step explanation:
16/24=(x-2)/12
or, 16/2=x-2
or, 8=x-2
or, x-2=8
or, x=10
Answered by GAUTHMATH
99999+999=????????????????????????????
Answer:
100998 is the answer.
I hope this help u.
Answer:
100998
Step-by-step explanation:
₁ ₁ ₁ ₁ ₁
99999
+ 999
100998
you can also think of it as
99999(+1) + 999(-1)
100000+998
100998
SOMEONE HELP PLEASE I NEED ANSWER
Answer:
T = 55 + 6w and $103
Step-by-step explanation:
We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value
T = 55 + 6w
Solving for T when w = 8 weeks
T = 55 + 6(8)
T= 55 + 48
T = $103
would appreciate the help please!
Answer:
I think SAS is the correct Ans
PLEASE HELP!
Record the lengths of the sides of ΔABC and ΔADE.
I would appreciate it.
AB: 20
BC: 12
AC: 16
AD: 10
DE: 6
AE: 8
Factor: (a+3)^2 -a(a+3)
Answer:
3(a +3)
Step-by-step explanation:
(a+3)^2 -a(a+3)
FOIL
a^2 +3a+3a+9 -a(a+3)
Distribute
a^2 +3a +3a +9 -a^2 -3a
Combine like terms
3a +9
FACTOR out a+3
(a+3)( a+3 -a)
(a+3) (3)
3(a+3)
Answer:
3(a+3)
Step-by-step explanation:
Expand the first set of brackets first
(a+3)^2
A^2 + 3a + 3a +9
=A^2 + 6a + 9
Expand the second set of brackets
-a(a+3)
=-a^2 - 3a
Add both sets together
3a + 9
Factorise:
3(a+3)
the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?
Answer: 7.25
Step-by-step explanation:
PLEASE HELP !!!!!!!!!!!!!
Answer:
the 3rd won for sure
Step-by-step explanation:
hope I helped
Answer:
C
Step-by-step explanation:
The coordinates are all in (x, y) form.
X is how left or right
y is how tall.
If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.
I hope this helps!
Please help me with this (geometry)
Answer:
∠ 6 = 55°
Step-by-step explanation:
∠ 6 and 125° are same- side interior angles and sum to 180° , then
∠ 6 = 180° - 125° = 55°
The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.
Day Day 2 Day 3 Day 4
Kill room 3175 2526 1763 1090
Processing 529 141 362 224
The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?
Answer:
-611.031 < μd < 4260.031
Step-by-step explanation:
This is a matched pair design :
______Day1 Day 2 Day 3 Day 4
x1 Kill room 3175 2526 1763 1090
x2 Processing 529 141 362 224
First we obtain the difference, d ;
d = (x1 - x2)
d = 2646, 2385, 1401, 866
The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5
The standard deviation of difference,
Sd = √(Σx-dbar)²
Using calculator, Sd = 834.086
The 99% confidence interval :
Mean ± margin of error
dbar ± margin of error
Margin of Error = Tcritical * Sd/√n
Tcritical at 99%, df = n-1 ; df = 4-1 = 3
Tcritical = 5.84
Margin of Error = 5.84 * 834.086/√4 = 2435.53112
Confidence interval = 1824.5 ± 2435.53112
(-611.031 ; 4260.031)
Find the length of the third side. If necessary, round to the nearest tenth. 6 10
Answer:
Step-by-step explanation:
7
see screenshot below
Answer:
B only
Step-by-step explanation:
well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0
and to figure "a " we can consider the following equation:
[tex] \displaystyle x - a = 0[/tex]
substitute the given value of a:
[tex] \displaystyle x - 2= 0[/tex]
therefore,
[tex] \displaystyle x = 2[/tex]
option-1:plugin the value of x to the function A(x):
[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]
simplify which yields:
[tex] \displaystyle A(2) = 16[/tex]
since A(2)≠0 x-2 is not a factor of A(x)
option-2:similarly substitute the value of x to the function B(x) which yields:
[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]
simplify:
[tex] \displaystyle B(2) =0[/tex]
so, B(2)=0 Hence x-2 is a factor of x³-x-6
option-3:substitute the value of x to the function C(x)
[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]
simplify:
[tex] \displaystyle C(2) =12[/tex]
as C(2)≠0 x-2 is not a factor of C(x)
option-4:likewise plugin the value of x to the function D(x):
[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]
simplify and that yields:
[tex] \displaystyle D(2) = - 2[/tex]
therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
The factor
x-2=0x=2we have find the value of x .
Now,
we have to select all the polynomial which has x-2 As a factor.
According to the question,
option A:-[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]
so it is not a factor.Option B:-[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]
so it is a factor Option C:-[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]
so it is not a factoroption D:-[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]
so it is not a factortherefore:-The option B is correct.
Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
Answer:
(x-9)^2 +(y-12)^2 = 225
Step-by-step explanation:
First find the length of the radius
If is the distance from the center to the point
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt( (0-9)^2 + (0-12)^2)
= sqrt ( 81+144)
= sqrt(225)
= 15
The equation for a circle is
( x-h) ^2+ (y-k)^2 = r^2
(x-9)^2 +(y-12)^2 = 15^2
(x-9)^2 +(y-12)^2 = 225
HELP ASAP 10 POINTS BRAIN LIST THANKS AND 5 STAR BUT IF CORRECT
Answer:
3 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 1/2 * 3/2 * 4
V = 3 cm^3
Answer:
3 cm³
Step-by-step explanation:
V = L * W * H
V = (4 cm)(3/2 cm)(1/2 cm)
V = 12/2 * 1/2 cm³
V = 12/4 cm³
V = 3 cm³
Thank you guys for helping me !! Can you help me with this question ?
Answer:
(A). x² + y² - 4x + 6y - 3 = 0
Step-by-step explanation:
(x - 2)² + (y + 3)² = 4²
x² - 4x + 4 + y² + 6y + 9 - 16 = 0
x² + y² - 4x + 6y - 3 = 0
The+pie+chart+shows+the+age+distribution+in+a+village+of+120+a)+how+many+people+are+older+than+60+=+120+B)+What+percentage+of+the+villagers+are+under+25?+I+KNOW+A+I+NEED+TO+KNOW+B
Answer:
if the village is of 120 people and 120 people are over the age of 60 then 0 people are under the age of 25.
Step-by-step explanation:
Plz help out will give brainliest
Answer:
10 degrees = C
Step-by-step explanation:
Total internal angles add to 180 degrees.
Add all values of c and set equal to 180.
18c = 180.
c=10
Answer:
c = 10
Step-by-step explanation:
3c + 6c + 9c = 180 degrees. Every triangle has 180 degrees.
18c = 180 Combine the like terms. Divide by 18
18c/18 = 180/18
c = 10
[tex]\text{Solve for x:}\\\\3x - 5 = 5x + 3[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = -4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In a bowl of fruit, there are green grapes and black grapes in the ratio 3 : 4
If there are 24 green grapes, how many black grapes are there?
Answer:
32
Step-by-step explanation:
Green : black
3 4
We have 24 green
3+8=24
so multiply each side by 8
Green : black
3*8 4*8
24 32
There are 32 black grapes
Answer:
32
Step-by-step explanation:
By Question :-
Green grapes: Black grapes= 3:4Let :-
Number of black grapes = xTherefore,
GG/ BG = 3/4 24/x = 3/4 x = 24 × 4/3x = 8 × 4x = 32find the scale factor
Answer:
I think its 1.4
Step-by-step explanation:
if you divide 42 by 1.4 it makes 30 and if u multiply 30 by 1.4 it makes 42
Answer:
the scale factor is 7/5
Step-by-step explanation:
42/30=
42/30=
then you find a common factor between the two is 6, so you divide both sides of the fraction by 6 to get 7/5. and because they both are the same you know that they both have the same scale factor. Which is 7/5. I am not quite sure if you need to find the missing side length but in case you do multiply 40 by 7/5 so it looks like 40/1 x 7/5. 40 x 7 = 280. 280/5 = 56. so your side length is 56.
Please Solve:
x^2-4x-5=0
What is the vertex of the function f(x) = -|x + 7| − 4?
A.
(-7,-4)
B.
(7,4)
C.
(-7,4)
D.
(7,-4)
Answer:
it would be
D.
(7,-4)
Mark me as brainliest pleases
Answer:
it would be A (-7,-4)
Step-by-step explanation:
Is "y = 0.860x + 3.302" a function? Explain why.
Answer:
Yes.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Any line that follows slope-intercept form will be a function.
If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.
∴ y = 0.860x + 3.302 is indeed a function.
simplify m√p + n√p - √p
Answer:
[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]
Which of the following function pairs are inverses?
Answer:
(A)
x= 5y-3
(x+3)/5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i took the test lol
Which number is greater than 234,781,114?
A. 3.425 x 10 to the power of 6
B. 3.425 x 10 to the power of 8
C. 3.425 x 10 to the power of 7
D. 3.425 x 10 to the power of 5
Answer:
I think its B.
Step-by-step explanation:
sorry if i am wrong.
