Answer:
(f - g)(x) = -x² + 4x + 4
General Formulas and Concepts:
Pre-Algebra
PropertiesAlgebra I
Combining like termsFunction notationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 1
g(x) = x² - 5
(f - g)(x) = f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 4x - 1 - (x² - 5)Distribute: (f - g)(x) = 4x - 1 - x² + 5Combine like terms: (f - g)(x) = -x² + 4x + 4Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.
Answer:
Option (3) and Option (5)
Step-by-step explanation:
Alice invested $13 in the first month.
Then she deposits $25 every month.
Therefore, sequence formed by the deposit will be an arithmetic sequence.
First term of the sequence will be,
[tex]A_1=13[/tex]
Since, recursive formula formula of a sequence is given by the formula,
[tex]A_n=A_{(n-1)}+d[/tex]
Where 'd' = common difference in each term of the sequence
Recursive formula for the sequence will be,
[tex]A_n=A{(n-1)}+25[/tex]
Since, explicit formula for the arithmetic sequence is represented by the formula,
[tex]A_n=A_1+(n-1)d[/tex]
where n = number of term
d = common difference
Therefore, nth term of the sequence formed will be represented by the explicit formula,
[tex]A_n=13+(n-1)25[/tex]
[tex]A_{10}=13+(10-1)25[/tex]
= 13 + 225
= 238
[tex]A_{8}=13+(8-1)25[/tex]
= 188
[tex]A_{12}=13+(12-1)25[/tex]
= 288
Therefore, Option (3) and Option (5) will be the answer.
Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded. 1.25% 12.5% 125% 1250%
Answer:
125%
Step-by-step explanation:
Answer:
C- 125
on edge
Step-by-step explanation:
Write an equation for the proportional relationship.
(0,0) (2,8) (4,16) (5,20)
Answer:
y = 4x + 0
or
y = 4x
Step-by-step explanation:
y- intercept: 0
slope: 4x
equation: y = mx + b
y = 4x + 0 or y = 4x
Write the equation of the line fully simplified slope-intercept form.
Answer:
If your talking about the slope-intercept form, its y = -1/2x + 1
Step-by-step explanation:
Slope is 0, and (1, 2) is on the line.
Answer:
If the slope is zero, then that means that 2 would be the y intercept, and it would be a straight horizontal line crossing through that point.
Step-by-step explanation:
which of the following equations is perpendicular to y=3/4+4 and passed through the point (6,-12)
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.
Step-by-step explanation:
Give me a highly detailed explanation of the answer to the equation of 1+1.
Let's solve this question as simply as we can
Step 1:
Add your odd numbers which is one with one
There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.
ex. 1 divided by 2 = 0.5
Step 2:
Now after adding our odd number you should turn up with an even number which we know as two.
Even numbers can be divided by 2
ex. 2 divided by 2 = 1
Answer is = 2
Recall information from the previous task. A snack-size bag of carrots has a mean weight of 1.75 ounces and a
standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure and found that her bag of snacks weighed 1.68 ounces. The Z-
score of Kendra's bag of carrots is -0.70.
Complete the statement interpreting the Z-score.
Kendra's bag of carrots is 0.70 —standard deviations—below—the mean weight.
Put the right answers up ^
Answer:
Standard Deviation and Below are, in fact, the right answer.
Step-by-step explanation:
Edge. :)
Answer:
The person above is right, they deserve brainliest.
-standard deviations
-below
ED2021
The cost of medical care abroad is often significantly less than in the United States. In 2014, the cost of knee replacement surgery in the United states was $34,000. This cost was $4000 more than four times the cost of knee replacement surgery in India. Find the cost of Knee replacement surgery in India.
Answer:
Cost in India: $7500
Step-by-step explanation:
Represent cost in India with I and cost in United States as U.
Given
[tex]U = 3400[/tex]
[tex]U = 4000 + 4 * I[/tex]
Required
Find I
Simply substitute 34000 for U in the second equation
[tex]34000 = 4000 + 4 * I[/tex]
[tex]34000 = 4000 + 4I[/tex]
Solve for 4I
[tex]4I = 34000 - 4000[/tex]
[tex]4I = 30000[/tex]
Solve for I
[tex]I = 30000/4[/tex]
[tex]I = 7500[/tex]
Hence, the cost in India is $7500
Ethan has an interesting 10-day job offer. He can earn a flat rate of $100 per day or
get paid $1 the first day, $2 the second day, $4 the third day, $8 the fourth day, and
so on. Which payment plan should he take, the flat-rate plan or the increase-per-day
plan? Explain.
A card is drawn from a deck of 52 cards.
Find the probability of drawing a black 8:
Answer:
1/26
Step-by-step explanation:
There are two sets colors; red and black.
13 ranks, each rank has 2 black cards and 2 red
but there are only 2 black eights
2/52
Alan bought 5 feet of fabric. How much is this in yards
Answer:
15 yards.
Step-by-step explanation:
This is because there are 3 feet in one yard, and 5x3= 15.
Answer:
1.66667
Step-by-step explanation:
how much ₹ each will get if 242.46₹ is distributed equally among the students
Complete Question:
How much ₹ will each get if 242.46₹ is distributed equally among the 6 students
Answer:
Each of the 6 students will get ₹40.41
Step-by-step explanation:
Given
[tex]Amount = 242.46[/tex]
[tex]Students = 6[/tex]
Required
Determine how much each student gets
To do this, we simply divide the total amount by the number of students
i.e.
[tex]Each\ Students = \frac{Amount}{Number\ Students}[/tex]
[tex]Each\ Students = \frac{242.46}{6}[/tex]
[tex]Each\ Student = 40.41[/tex]
Hence, each of the 6 students will get ₹40.41
(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK
6/15 + 3/10 + 3/5
Answer:
1 3/10
Step-by-step explanation:
Find the common denominator.
6/15 times 2
12/30
3/10 times 3
9/30
3/5 times 6
18/30
Add.
12/30 + 9/30 + 18/30 = 39/30
Simplify
13/10 = 1 3/10
Edgardo adquirió un vehiculo a un costo de $23,970. Su vida útil es de 7 años y tiene
un valor residual de $975.
a ¿Cuánto deprecia el vehículo cada año?
b. ¿Cuál será su valor al cabo de 5 años?
c. Haz la tabla de depreciación y valor por año
Responder:
$ 3,285
$ 7545
Explicación paso a paso:
Dado que:
Costo del vehículo = $ 23,970
Valor de rescate = $ 975
Vida útil = 7 años
Depreciación por año = (costo del vehículo - valor residual) / vida útil
Depreciación por año = (23970 - 975) / 7
Depreciación por año = 22995/7
Depreciación por año = $ 3285
Valor del vehículo después de 5 años:
23970 - (3285 * 5)
= $ 7545
Año _____ valor del vehículo
1 ________ 20685
2 ________ 17400
3 ________ 14115
4 ________ 10830
5 ________ 7545
6 ________ 4260
7 ________ 975
PLEASE HELP meeeeee asap
Area can be defined as the number of square units it takes to cover the inside
of a figure
A. True
B. False
Answer:
A
Step-by-step explanation:
It is making me add 20 characters to my answer so ignore this :)
Answer:
its TRUE
Step-by-step explanation:
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?
Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
solve
the following linear Equations
152x-378y=-74
-378x+152y=604
Answer:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not
DONT HAVE MUCH TIME LEFT, THIS WILL BE DUE SOON!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
the slope is 2 I am pretty sure
if quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?
The question is missing parts. Here is the complete question.
Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?
Answer: SQ = 12
Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.
One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.
In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:
SQ = RP
SQ = 12
Segment SQ of isosceles trapezoid PQRS is 12 units.
Answer:
if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12
Step-by-step explanation:
Determine if parallel, perpendicular, or neither showing how to find the slope
4x-7y=10
7x+4y=1
Answer:
They're perpendicular
Step-by-step explanation:
Cause they interfere the point (47/65, 66/65) in a 90 degree angle
2. Suppose you save $2000 in a bank account that earns an annual interest rate of 1.2% compounded
continuously.
(a) How much money would be in the account after 5 years?
Answer:
0.06 is answer of this puestion
4. Savannah earns $247.00. How many
hours did she work?
2
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
Find the equation of the line use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)
Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?
A) It is not smooth or rough surfaces that affects friction. It is the size of the push.
B) When an object moves across a rough surface, there is no friction.
C) When an object moves across a smooth surface, the friction increases.
D) When an object stops moving, there is no friction.
(Here is an image if needed) :
Answer:
C
Step-by-step explanation:
Answer:
A
number is correct answer
The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?
Answer:
0.74751
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ, where
x is the raw score = $460
μ is the population mean = $490
σ is the population standard deviation = $45
z = 460 - 490/45
z = -0.66667
Probability value from Z-Table:
P(x < 460) = 0.25249
P(x > 460) = 1 - P(x<460)
P(x > 460) = 1 - 0.25249
P(x > 460) = 0.74751
The probability that a randomly selected teacher earns more than $460 a week is 0.74751
A surgical procedure requires choosing among four alternative methodologies. The first can result in five possible outcomes, the second can result in two possible outcomes, and the remaining methodologies can each result in four possible outcomes. What is the total number of outcomes possible?
Answer:
15 possible outcomes
Step-by-step explanation:
Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,
m1 = 5 outcomes
m2 = 2 outcomes
m3 = 4 outcomes
m4 = 4 outcomes
5 + 2 + 4 + 4 = 15
we can see that there are a total of 15 possible outcomes
A fast food chain sells 4,500 hamburgers per hour worldwide. How many hamburgers does the fast food chain sell worldwide in 1 minute?
Answer:
75 hamburgers per minute
Step-by-step explanation:
We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.
4500/60 = 75