Answers
Step-by-step explanation:
4) p(x)=256
p(x)=2 ^ x+2
256=2 ^ x+2
2⁸= 2 ^ x+2
8=x+2
x=8-2=6
5)243=3 ^ x+3
3×3×3×3×3 = 3 ^ x+3
3⁵= 3^ x+3
5 = x+3
x=5-3=2
Answer:
[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]
x=6 is the right answer.[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]
x=2 is the right answer.Related Questions
Heyy please answer pleaseeeeee help me
Answers
Answer:
no solution
Step-by-step explanation:
Nina is selling three types of energy bars at a market stall. She bought 50 Enerbars at 30p per bar and 150 Grainbars at 50p per bar from her normal supplier. She was also given 50 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.20 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £402.80. How many Amazebars did she sell?
Answers
Answer:
24
Step-by-step explanation:
Given that:
Cost of each Enerbar = 30p
Number of Enerbars = 50
Cost of each grain bar = 50p
Number of grain bars = 150
Number of Amazebars = 50
Cost of each Amazebar = 0p (Because it was given as promotion)
Sales price of each bar = £2.20
Total profit earned = £402.80
All other bars were sold but Amazebars.
To find:
How many Amazebars were sold?
Solution:
First of all, let us have a look at the profit earned by selling each type of bar.
Profit is nothing but the difference between sales price and cost price.
Profit at selling each Enerbar = £2.20 - 30p = £1.90
Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95
Profit at selling each grain bar = £2.20 - 50p = £1.70
Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255
Profit by selling Enerbars and grain bars = £95 + £255 = £350
Profit by Amazebars = £402.80 - £350 = £52.8
Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar
[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]
Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?
Answers
Answer:
5
Step-by-step explanation:
9-4=5
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answers
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
yˆ=1.87x2+5.16x+10.54
yˆ=1.87x2+5.16x
yˆ=1.87x2−5.16x+10.54
yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
Answers
9514 1404 393
Answer:
(c) y = 1.87x^2 -5.16x +10.54
Step-by-step explanation:
The attached graphing calculator output shows the best choice is the third one.
__
Additional comment
The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.
Answer:
yˆ=1.87x^2−5.16x+10.54 is correct for all future users
Step-by-step explanation:
40 is a rational number.
Answers
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
1.) You decide to order strands of LED lights for a party. Amazon charges
a flat fee of $7.00 to ship this item, whether you order two strands or
fifty strands. If each strand costs $4.50, and your total came to $56.50,
how many strands did you order?
Quick answer please
Answers
Answer:
11
Step-by-step explanation:
56.50-7=49.50
49.50divided by 4.50=11
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answers
Answer:
I have no idea what it is sorry
What is the volume of the rectangular prism? Type the answer in the boxes below. Icm cm?
Answers
Answer:
3 3/4 cm ^3
Step-by-step explanation:
The length is 2.5 the width is 1 and the height is 1.5 so 2.5x1x1.5
Hope it helps!
Please help me I need ASAP
Answers
Answer:
(3)
Step-by-step explanation:
Dividing both sides by Pt, we get option (3).
For each graph below, state whether it represents a function.
Answers
Answer:
Graph 1, 2, 5, 6 are not functions.
Graph 3, 4 are functions
Step-by-step explanation:
For every input there can only be one output to be a function.
Of the given graphs, only graph[3] and graph[4] represent functions.
What is a function?
A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. It is denoted by f(x).
Given are the graphs plotted for different expressions.
Now, for a given expression to be a function, it should have a single unique value of variable [y] in coordination with that of [x]. Of all the graphs given, only the continuous graph[3] and discrete graph[4] have unique or only one unique value of [y] for a value of [x]. So, only graph[3] and graph[4] represent functions.
Therefore, of the given graphs, only graph[3] and graph[4] represent functions.
To solve more questions on functions, visit the link below-
https://brainly.com/question/19737343
#SPJ5
Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box
Answers
Perimeter : 30.4 cm
Area : 57.76 cm^2
Hope it helped!
Answer:
Perimeter: 30.4 cm
Area:57.76
Step-by-step explanation:
6cm+1.6cm=7.6cm
Perimeter:7.6x4
Area:7.6x7.6
5
X
2
4
6
8
f(x)
7
11
15
19
Which of the following functions is represented
by the table above?
a. f(x) = 4x + 7
b. f(x) = 4x + 3
c. f(x) = 2x + 7
d. f(x) = 2x + 3
Answers
Answer:
d
Step-by-step explanation:
just substitute the numbers and if both sides equals, then its correct
Greg needs to buy plastic forks. Brand A has a box of 25 forks for $1.97. Brand B has a box of 48 forks for $2.98
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
Hope this helps.
Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?
Answers
It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
After 5 hours the pool filled with 230 gallons
Let's suppose that after x hours the pool will fill with 920 gallons
After x hours the pool filled with 920 gallons.
As the water input contained at a constant rate
So the value of x can be evaluated:
[tex]\rm x = \frac{920\times5}{230}[/tex]
x = 20 hours
Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
Learn more about the fraction here:
brainly.com/question/1301963
SPJ2
7x-3x=
what is x =
x=
Answers
Answer:
4x
Step-by-step explanation:
A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal
Answers
=
Solving a word problem with two unknowns using a linear...
A washer and a dryer cost $801 combined. The washer costs $51 more than the dryer. What is the cost of the dryer?
Answers
801 = 2x + 51
750 = 2x
750/ 2 = 375
The dryer costs $375
375 + 51 = 426 ( washer costs )
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answers
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
To learn more about the triangle;
https://brainly.com/question/2773823
#SPJ2
what is the area of the parallelogram shown?
please help!!!!
Answers
Answer
24 (x) 13= 312cm
Step-by-step explanation:
area of a parallelogram= area of a rectangle/ sqaure=
24 (x) 13= 312cm
(the 18 inches it there to confuse you some times)
Linear or nonlinear
Answers
Answer:
Linear
Step-by-step explanation:
Linear is a straight graph
Answer:
Linear
Step-by-step explanation:
The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.
I will give brainliest!!!!
Answers
Answer: A, 3 B, 2 C, 6
Step-by-step explanation:
A salesperson at a jewelry store earns 9% commission each week. Last week, Heidi sold $640 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answers
Answer:19.2
Step-by-step explanation:
Rewrite in simplest terms: 4(-6t – 3) - 10t
Answers
Step-by-step explanation:
4(-6t-3)-10t
-24t-12-10t
-12-24t-10t
-12-34t
i am in middle school
Answers
Answer:
1.25 per pound
Step-by-step explanation:
Marie works in a garment factory that makes shirts. Marie’s job is sewing in sleeves. Marie receives .55 for each pair of sleeves she completes. During this pay period, she completed 1, 632 pairs of sleeves. What were Marie’s gross earnings?
Answers
Answer:
879.6
Step-by-step explanation:
I had a similar question that I solved which helped me here.
HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35
Answers
adding 11x and -4x makes it 7x
adding-3y and 3y cancels it out so your left with nothing
adding a negative and a negative keeps it a negative so its 18+17 making it -35
so the answer is C
What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?
Answers
Answer:
2
Step-by-step explanation:
The common difference in an arithmetic sequence is the difference between any two terms
So, you could start by doing -3 + d = -1
-3 + d = -1
-3 + d +3 = -1 +3
d = 3 -1
d = 2
Now test it with other terms
-1 + d = 1
Substitute
-1 +2 = 1
2 -1 = 1
1 = 1
It works!!!
If you want you can try it with 1 and 3
1 + d = 3
1 + 2 = 3
3 = 3
I hope this helps!!!!
Which point represents 2?
Answers
Answer:
The answer is simple
Step-by-step explanation:
The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation
What is the sum of (-10)+(-7)=
Answers
Answer:
-17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]