Answer:
[tex]g(x) = 4^{x-1} + 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4^x[/tex]
[tex]g(x) = f(x-1) + 3[/tex]
Required
Determine g(x)
First, we need to calculate f(x-1)
Given that:
[tex]f(x) = 4^x[/tex]
Subtract 1 from x
[tex]f(x-1) = 4^{x-1}[/tex]
Add 3 to both sides
[tex]f(x-1) + 3 = 4^{x-1} + 3[/tex]
Recall that:
[tex]g(x) = f(x-1) + 3[/tex]
This implies that:
[tex]g(x) = 4^{x-1} + 3[/tex]
A computer programmer worked 12 hours and earned $510. What is hourly rate?
Answer: 12.5
Step-by-step explanation:
150 divided by 12
Does someone know this one?
Answer:
A
Step-by-step explanation:
when its multi the exponents add up
What is the equation of the line that passes through the point (-5,3) and has a slope of -6/5 ?
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5
the equation : y - 3 = -6/5(x +5)
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5
the equation : y - 3 = -6/5(x +5)
8x/5 -8= -10
what is x?
pls hurry I need help
Do NOT convert to a decimal
Answer:
-10/8 or -5/4(Simplified)
Step-by-step explanation:
8x/5=-2
8x=-10
x-10/8
or -5/4 if simplified
Calculate the slope of a line that passes through (6, -12) and (15, -3).
0 1
о о
O 5/3
0 9
Which of the following segments is an angle bisector?
1. AL
2. JB
3. KC
Answer:
I think it's 3) KC
Hopefully it's correct
0:
Question 3
find y intercept of the line using (2,1), (3,-10)
[tex]\huge\boxed{(0, 23)}[/tex]
Hey there! We'll solve this problem in three main steps. First, we'll find the slope of the line. Then, we'll find the equation line in point-slope form. Finally, we'll change the equation to slope-intercept form so we can tell what the y-intercept is.
We can use the slope formula, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two known points on the line.
[tex]\begin{aligned}m&=\frac{y_2-y_1}{x_2-x_1}&&\smash{\Big|}&&\text{Use the slope formula.}\\&=\frac{-10-1}{3-2}&&\smash{\Big|}&&\text{Substitute in the known values.}\\&=\frac{-11}{1}&&\smash{\Big|}&&\text{Subtract.}\\&=\boxed{-11}&&\smash{\Big|}&&\frac{x}{1}=x\end{aligned}[/tex]
Now that we have the slope, we can use it together with one of the points to get the line in point-slope form. Then, we can distribute and add to get the line in slope-intercept form.
[tex]\begin{aligned}y-y_1&=m(x-x_1)&&\smash{\Big|}&&\text{Use point-slope form.}\\y-1&=-11(x-2)&&\smash{\Big|}&&\text{Substitute in the slope and one point.}\\y-1&=-11x+22&&\smash{\Big|}&&\text{Distribute.}\\y&=-11x+\boxed{23}&&\smash{\Big|}&&\text{Add $1$ to both sides.}\end{aligned}[/tex]
We can now clearly see that the y-intercept of the line is [tex]23[/tex], or [tex](0, \boxed{23})[/tex] as a point.
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 77 hours over the
last two weeks and had a total of $2,708 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
OA. $616
OB. $271
C. $332
D. $887
Answer:
Step-by-step explanation:
Payment per hour is $8
commission is 15%
Total number of hours worked for 2 weeks is 73 hours
Total sales=$2095
commission earned for 2 weeks:
15/100×2095
=$314.25
Total amount earned in 73 hours:
73×8=$584
Total amount earned in commission and wages:
584+314.25
=$898.25
Answer:
D
Step-by-step explanation:
There are 4 consecutive even integers with a sum of 324. What is the least of the 4 integers?
Answer:
let the 4 consecutive even number be x, x+2,x+4,x+6
now
x+x+2+x+4+x+6=324
or 4x+12=324
or 4x=314
x=78
least integer=78
Step-by-step explanation:
Polynomial p(x)= x^3 - 7X - 6 has a known factor of ( x+1 ), rewrite P(x) as a product of linear factors
Answer:
(X+1)(x+2)(x-3)
Step-by-step explanation:
(X+1)(x^2-x-6)
(X+1)(x+2)(x-3)
Is 110,571 divisible by 3?
Answer:
yes, it is.
Step-by-step explanation:
110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3
Can someone help me answer number 6 there is an attachment to it I’ll mark you brainliest
Answer:
a
Step-by-step explanation:
Answer:
d. x + 6 is a factor of the polynomial
Step-by-step explanation:
Very simple rule to remember when dividing polynomials, if you divide and there is no remainder, the 2nd term (x + 6) is a factor of the polynomial.
Finding the circumference, PLEASE HELP :C Ill give brainliest! 20 points!
Answer:
24, 897.12178 mi
Step-by-step explanation:
diameter is 7,925 mi
circumference = diameter *pi = 7,925*3.14= 24, 897.12178 mi
Answer:
d=7925mi
circumference of circle=πd
=3.14×7925
=24884.5 mi
Iker gave the cashier $50 to pay for 6 books. The cashier gave him $6.26 in change. Each book cost the same amount. What is the cost in dollars and cents for each book?
Answer:
I LOVESSSSSSSSSSSSSSSSSSS ANAAAAAAAAAAAAAAA Touch her and I break you :3
Step-by-step explanation:
Answer:
$8
Step-by-step explanation:
50/6=8
Luvs shu =p
a sequence has an explicit rule f(n)=6 - n^2. find the first 3 terms.
help pretty pleaseeee
Answer:
5, 2, - 3
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into the explicit rule, that is
f(1) = 6 - 1² = 6 - 1 = 5
f(2) = 6 - 2² = 6 - 4 = 2
f(3) = 6 - 3² = 6 - 9 = - 3
The first 3 terms are 5, 2, - 3
In 4 days Jacob walked his dog 2 2/3 miles. How far did they walk each day?
Answer:
2/3 miles a day
Step-by-step explanation:
2 2/3 divided by 4 = 2/3
It'll also make me happy if you would subscribe to my channel Yaya Playz 23, and my friends BonheurPlaysGames!!! and Sagesse Games, there small YTers as well. Thank you!
Which table represents a linear function?

A company runs food service concessions for sporting events throughout the country. Their marketing research department chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given approximately by p=8−ln(x),5≤x≤500, where x is the number of hot dogs (in thousands) that can be sold during one game at a price of p dollars. If the company pays 1 dollar for each hot dog, how should the hot dogs be priced to maximize the profit per game?
Answer:
$3
Step-by-step explanation:
Given that:
p = 8 - ln(x) when 5 < x < 500
where;
x = The total number of dogs sold
Then;
The total revenue = x * p
R = x(8 - ln(x))
R = 8x - xln(x)
The Company thus pays 1 dollar per dog
i.e.
The total cost C = 1 * x = x
Then: Profit = R - C
P = 8x - xln(x) - x
P = 7x - xln(x)
Differentiating P in respect to x
dP/dx = 7 - d/dx(xln(x))
dP/dx = 7 - x*d/dx(ln(x)) - ln(x)*d/dx(x)
dP/dx = 7 - x(1/x) - ln(x)
dP/dx = 6 - ln(x)
Since this must be maximized, dP/dx is set to be equal to 0
6 - ln(x) = 0
ln(x) = 6
x = e^6
Now, p = 8 - ln(x)
Plug in the value of x :
p = 8 - ln(e^5)
p = 8 - 5
p = 3
Therefore, each dog must be priced at $3 to maximize the profit.
I will mark brainest if it is right
1. x+20 = 11x + 30
x=
Answer:
Step-by-step explanation:
x+20=11x+30 minus x from both sides
20=10x+30 minus 30 from both sides
-10=10x divide by 10
x= -1
Answer:
-1
Step-by-step explanation:
2. y = 2x + 1
3x + 2y = 16
Solving the following systems by using substitution
NEED HELP ASAP THANK YOU
A TV that usually sells for $192.15 is on sale for 20% off. If sales tax on the TV is 6%, what is the price of the TV, including tax?
Answer:
$162.94
Step-by-step explanation:
Because 20% off of 192.15 = $162.94 and
$153.72 + (6.0%) $9.22 = $162.94
When faced with needing additional money during college, which option is NOT true?
Answer:
stealing
Step-by-step explanation:
Answer: C. Paying with additional loans can lead to connections and opportunities
Step-by-step explanation
The options to the questions are:
A. Taking on a job can cut into study time
B. Paying with credit cards can end up costing more money
C. Paying with additional loans can lead to connections and opportunities
D. Taking on a job can make connections that lead to opportunities
Answer:
C. Paying with additional loans can lead to connections and opportunities
Step-by-step explanation:
When faced with needing additional money during college, an individual may choose to take on a job so as to get extra money to finance his or her needs. However, such a venture often leads to a reduction in study time, as working on jobs will also need its own time of execution.
Also, paying for financial needs during college days with a credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using a credit card.
More so, taking a job during college days, will definitely bring connections with different people, and thereby leads to opportunities.
However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.
Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities
ILL MARK U BRAINLIEST!!
Answer:
u said youll mark me brainliest
Step-by-step explanation:
Find sin A and cos A
A) sin A = 3/5; cos A = 4/5
B) sin A = 4/5; cos A = 3/5
C) sin A = 5/4; cos A = 4/5
D) sin A = 4/3; cos A = 3/4
Answer:
B
Step-by-step explanation:
sinA=opp/hyp
sinA=16/20=4/5
cosA=adj/hyp
cosA=12/20=3/5
Answer:
We found sinA= 3/5 and cosA=4/5
Option A is correct.
Step-by-step explanation:
The formula to find sin A is :
[tex]sin A = \frac{Perpendicular}{Hypotenuse}[/tex]
while the formula to find cos A is:
[tex]cosA=\frac{Base}{Hypotenuse}[/tex]
So, in the figure given:
Base = 16
Perpendicular = 12
Hypotenuse = 20
Now, finding sin A and cos A using formulas and above values
[tex]sin A = \frac{Perpendicular}{Hypotenuse}\\sin A = \frac{12}{20}\\sinA=\frac{3}{5}[/tex]
[tex]cosA=\frac{Base}{Hypotenuse}\\cosA=\frac{16}{20}\\cosA=\frac{4}{5}[/tex]
So, we found sinA= 3/5 and cosA=4/5
Option A is correct.
please help I'm so lost in trigonometry
Answer:
56°
Step-by-step explanation:
[tex] \cos \theta = 0.563\\\\
\theta = cos^{-1}(0.563)\\\\
\theta = 55.736477309\\\\
\theta = 56\degree [/tex]
Identify the following key features of the graph:
A) Vertex:
B) Axis of Symmetry:
C) y-intercept:
D) x-intercepts:
E) Minimum/Maximum (select one).
F) "A" would be positive/negative (select because
Answer:
I'm pretty sure its A
this is a problem I need help with
Answer:
C) neither
Step-by-step explanation:
they add up to 190
complementary adds up to 90
supplementary adds up to 180
Answer:
supplementary
Step-by-step explanation:
sum = 180
i need it as soon as possible. thanks
Answer:
the answer 0
Step-by-step explanation:
Answer:
f(6) = - 6
Step-by-step explanation:
f(6), that is 6 is in the interval x > 5 , thus has value - x , that is
f(6) = - 6
If you died tomorrow, what would you wish you had done?
Answer:
I would wise I had tried to reconnect with my ex best friend...
what is 5 x 10000000
Answer:
50000000
Step-by-step explanation:
