Answers
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
Related Questions
a line is perpendicular to
y= -1/4x -9
what is the slope of this perpendicular line?
Answers
Reason: Any two perpendicular lines will have their slopes multiply to -1, where neither line is vertical.
The given line has slope -1/4 and the perpendicular slope is 4
(-1/4)*4 = -1
Put another way: the answer is 4 because it's the negative reciprocal of -1/4.
What is the value of this expression when a= - 3 and b=-2?
(3a^-2b^6/2a^-1b^5)^2
Answers
Answer:
so lets just rewrite it with A=-3 amd B=-2
(-9^4^-9^2^5)^2
which is equal to... 1!
Hope This Helps!!!
Answer:
1
Step-by-step explanation:
took the test
What is the first step in solving the equation 2/3x+1/3x+2=5 ? Subtract 1/3 from each side of the equation. Add 2 to each side of the equation. Combine like terms. Multiply each side of the equation by 5.
Answers
Answer:
Combine like terms
Step-by-step explanation:
A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.
Answers
Answer:
16
Step-by-step explanation:
4 option: Pork, chicken, beef, or veggie burritos.
and for each of the 4 options: rice, beans, hot or mild salsa.
4x4=16
Example:
Pork with rice
Pork with beans
pork with hot salsa
pork with mild salsa
etc.
Pork: 4 possibility
Chicken: 4 possibility
Beef: 4 possibility
Veggie burritos: 4 possibility
4+4+4+4=16
Hope this answer help you.
Please help it's urgent!Pls
Answers
Answer:
c may bbethe most accurate one l m 55% sure
Answer:
Its c fs :)
Step-by-step explanation:
Its c because x should be the exponent gl and hope this helps :)
when turned about it’s axis of rotation, which shape could have created this three-dimensional object
Answers
Answer:
c
Step-by-step explanation:
Answer: A would be the answer
Step-by-step explanation:
. In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99. How much was his sales tax
to the nearest penny?
Answers
Answer:
$1.1
Step-by-step explanation:
In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99.
The amount of his sales tax to the nearest penny is calculated as:
Sales tax rate × Cost of Paper for his printer
Sales tax = 6% × $17.99
= 6/100 × $17.99
=$ 1.0794
Approximately≈ $1.1
calculate the value of the following:
sin 120+tan 300
[tex]sin 120 + tan 300[/tex]
Answers
Answer: 45.825353255
Step-by-step explanation:
Which of the follwing are true statements about a 30-60-90 triangle?
Answers
Answer:
A and E
Step-by-step explanation:
The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3
Answer:
A. and E.
Step-by-step explanation:
The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.
Simply as much as possible.
4.4b-2.6b
Answers
Answer:
1.4b
Step-by-step explanation:
4b-2.6b
4.0-2.6=1.4
4b-2.6b=1.4b
Answer:
1.8b
Step-by-step explanation:
4.4b - 2.6b
subtract we get
1.8 b
3x-6y=24 y=Mx+b form
Answers
Answer:
Hi, there your answer is[tex]y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Let's solve for y.
3x−6y=24
Step 1: Add -3x to both sides.
3x−6y+−3x=24+−3x
−6y=−3x+24
Step 2: Divide both sides by -6.
−6y /−6 = −3x+24 /−6
y=1/2x-4
Hope this helps :)
Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Answers
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
A meat pie contains chicken and turkey in the ratio 4: 1. The pie contains 200g of chicken.
How much turkey is in the pie?
Answers
How much turkey is in the pie?
The mass of the turkey in the pie is 1/4 of the weight of the chicken
200/4 = 50 grams
Determine the value of each variable below. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
1) tan = opposite / adjacent
tan * adjacent = opposite
adjacent = opposite/tan
adjiacent = 60/1,600335 = 37.5
2) the two leg are congruent so the two angles are congruent
the sum of the inner angles of a triangle is 180 degrees
so
a = 45 degrees
b = 45 degrees
3) cos = adjacent/hypotenuse
adjacent = cos * hypotenuse
adjacent = 0,920505 * 45
adjacent = 41.4
Helppppp pleaseeeeee!!!!!’
Answers
Answer:
4, 12, 36, 108
Step-by-step explanation:
a1: 4(3)^1-1 = 4(3)^0 = 4
a2: 4(3)^2-1 = 4(3)^1 = 12
a3: 4(3)^3-1 = 4(3)^2 = 36
a4: 4(3)^4-1 = 4(3)^3 = 108
Which term is defined as a fee charged for the use of money?
a interest
b. down payment
C. principal
d. default
Please select the best answer from the choices provided
A
B
C
D
Answers
Which term is defined as a fee charged for the use of money?
[tex]\sf\purple{a.\:interest}[/tex] ✔
b. down payment
C. principal
d. default
Explanation:
Interest is defined as a fee charge for the use of money.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answers
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
The graph below is the graph of a function true or false
Answers
Answer:
you did not add a picture so i cannot help you i am very deeply sorry so sorry i apologize baahhahahahahahahahahahahahah
Step-by-step explanation:
What is the value of b - c if a = 18, b= 27, and c= 11?
O 16
O 11
0 9
0 29
Answers
Answer: 16
Step-by-step explanation: 27-11=16
Answer:
16
Step-by-step explanation:
b-c
=27-11
=16
I hope this is helpful :)
help me with this question pls!
Answers
Answer:
8
Step-by-step explanation:
Eight Equeal Tri's
Chris carved three times as many jack-o lanterns as his friend Thomas. if Thomas carved 3 jack o lanterns how many did Chris carve
Answers
Answer:
9
Step-by-step explanation:
3 times 3 is 9
hope that helps bby<3
Cheryl is taking an online test that gives her instant results. After answering 16 questions, the test revealed that 10 were answered correctly. She
then answered I consecutive questions correctly and achieved her goal of 80% accuracy. Write an equation that can be used to determine
how many questions she answered correctly to reach her goal.
Help ;-;
Answers
How is 6.8 million written in scientific notation? 6.8 * 10 7 or 6.8 * 10 6
Answers
Answer:
6.8 x 10*6
Step-by-step explanation:
Answer:
hey im sorry for using this, but there's nothing else. which one was right???/ im stuck
Step-by-step explanation:
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answers
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
k(jjjjjjjjhuyt67 in bbkl
which expression is equivalent to 5^10 x 5^5
Answers
Answer:
[tex] {5}^{10 + 5} = {5}^{15} [/tex]
Answer:
5^15
Step-by-step explanation:
when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser
Help me I will give you brain list if you answer this first
Answers
What'e More
A. Independent Activity 1
Determine the following numerical values for each alasses using table 5 below
Answers
Class mark : 37-41
Independant variable is the classes
25 [tex]\sqrt{x}[/tex] 64 +187
Answers
Answer:
x = 17/4 = 4.250
x = 11/2 = 5.500
Step-by-step explanation:
Neep help on finding what is the right answer.
Answers
Answer:for the first page b for the second pace a
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values
Answers
Answer:
Step-by-step explanation:
Average rate of change of a function between interval x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Average rate of change of the function in the interval [-4, -2]
= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]
= [tex]\frac{0-(-12)}{-2+4}[/tex]
= 6
Average rate of change in the interval [-2, 1]
= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]
= [tex]\frac{3-0}{1-(-2)}[/tex]
= 1
Average rate of change in the interval [-3, 1]
= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]
= [tex]\frac{3-(-5)}{1+3}[/tex]
= 2
Average rate of change in the interval [-4, 0]
= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]
= [tex]\frac{4-(-12)}{0-(-4)}[/tex]
= 4
