Answer:
[tex]f(x) = {3}^{x} \\ f(x +1) = {3}^{(x + 1)} \\ f(x) + f(x + 1) \\ = {3}^{x} + {3}^{(x + 1)} \\ = {(1 \times 3}^{x} ) +( 3 \times {3}^{x} ) \\ By \: taking \: {3}^{x} \: common, \: we \: get \\ (1 + 3) \times {3}^{x} \\ = 4 \times {3}^{x} \\ = 4f(x)[/tex]
f(x)+f(x+1)=4f(x), when f(x)=3^x Hence provedA car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10 s. The average acceleration of the car is
Select one:
A. 2.1 m/s ^2
B. 7.5 m/s ^2
C. 1.5 m/s ^2
D. 5.0 m/s ^2
^2 means exponent
Answer:
I think answer id B.and this will right you make me brillent student
The acceleration will be 2.1 meters per second. The correct option is A.
What is acceleration?Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.
Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.
The acceleration will be calculated as below:-
Acceleration = Velocity / Time
Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s
Acceleration = Velocity / Time
Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²
Therefore, the acceleration will be 2.1 meters per second. The correct option is A.
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Please help I know it’s a lot ...?
Answer:
1. 3g - 24 = 5
2. 5y + 3 = -38
3. 2x + 4 = 45
4. 1/2n - 10 = 30
5. 5n - 6 = 5
6. 6n - 7 = 10
Step-by-step explanation:
not sure if you wanted what the variables equal if you do leave a comment
if you buy a 5 bananas for 3 dollars how much is one
1.6667
that's the answer cause I said so
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
- m-{ =2+3m
2
3
.
4.
05
Answer:
4 is the correct answer.
Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.
We can then multiply each term of the equation by 4 to eliminate the fractions.
So, multiplying both sides of the equation by 4, we get:
-3m - 2m = 8 + m
To simplifying, we have:
-5m = 8 + m
To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:
4m = 8
Finally, dividing both sides by 4, we get:
m = 2
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what is 4.414*10 9 in standard form
Answer:
4,414,000,000
Step-by-step explanation:
4.414x10^9, move the decimal place 9 places to the left.
If jonny has 19 apples then adds 19 more apples to his collection how many does he have
Answer:
it should be 38
Step-by-step explanation:
Just add 19 more to the amount you already have.
please help me with this math is for my math homework
Answer:
5
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{137}{24} [/tex]
or
[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]
hope that helps you
please help asap and show work pls
Answer:
Answers are a. 8, b. 10, c. -2, d. invalid
Step-by-step explanation:
a.
[tex]f(x)=|x|\\So, f(8)=|8|=8\,;[Modulus\,\,is\,\,always\,\,the\,\,positive\,\,value][/tex]
b.
[tex]f(x)=3^x+1\\f(2)=3^2+1=9+1=10[/tex]
c.
[tex]f(k)=\frac{k}{2}+1\\f(-6)=\frac{-6}{2}+1=-3+1=-2[/tex]
d.
[tex]f(x)=\sqrt{x-5} \\f(3)=\sqrt{3-5}=\sqrt{-2}\\There\,\,is\,\,no\,\,real\,\,solution\,\,for\,\,root\,\,of\,\,a\,\,negative\,\,number[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
someone help please :)
Answer:
its basically a Cross
the point they cross is p
and the 2 lines are AB and RS
I hope I'm correct.And yea
.hope it helps
Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?
Answer:
$137.33
Step-by-step explanation:
$115.78 + $15.00 = $130.78
$130.78 + $7.50 = $138.28
$138.28 - $35.90 = $102.33
$102.33 + $20.00 = $122.33
$122.33 + $15.00 = $137.33
Chow,...!
Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT
Answer:
16= (x-4)^2 +(y+9)^2
Step-by-step explanation:
hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2
r= the radius (in your case you have the diameter so you do not need to square it)
(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)
a nice rating would help out
Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.
Which equation could be used to determine xx, how much each bag of lemons costs?
Answer:
8x = 39.62 - 6.74
Step-by-step explanation:
Cost of 1 bag of lemons = $ x
Cost of 8 bags of lemons = 8 *x = 8x
Cost of 8 bags of lemons = Total cost - cost of the eggs
8x = 39.62 - 6.74
Answer:
3.
Step-by-step explanation:
[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]
PLEASE HELP ME FAST I WILL GIVE 55 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7
10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)
I think this is a composition function material ¤¤
Sory this is my answer.
The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The equation for line y1 is 3x - 4 The slope is the coefficient of x, which is 3. That means the slope of line y2 is -1/3, because it's the negative reciprocal. As for the y-intercept, just look for the point on the y-axis that the line intercepts. If we look closely, we can see it intercepts point (0,4) on the y-axis. Therefore, the slope-intercept form equation for line y2 is: y = -1/3x + 4.
Answer:
y=5-x/3
Step-by-step explanation:
Nick's bank accout balance was $21. If he
writes a check for $30 and his bank charges
him $35 for overdrawing his account, find
his account balance.
Answer:
56
Step-by-step explanation:
Tyrell gave 3 packs of baseball cards to his friends. He gave each friend 1/2 of a pack. How many friends got baseball cards?
Answer:
The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest
Step-by-step explanation:
Which of the following correctly models 8 square
Answer:
A
Step-by-step explanation:
plssssssssssssss help
[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6
Answer:
i need help ;^; please
Answer:
[tex] \sqrt{3 {x}^{2} {y}^{3} } \times 2 \sqrt{72 {x}^{3} {y}^{4} } \\ = 2 \sqrt{3 {x}^{2} {y}^{3} 72 {x}^{3} {y}^{4} } \\ = 2 \times 6 \sqrt{6} \times \sqrt{ {x}^{5} {y}^{7} } \\ 12 \sqrt{6} {x}^{2} {y}^{3} \sqrt{xy } \\ 12 {x}^{2} {y}^{3} \sqrt{6xy} \\ thank \: you[/tex]
12x^2y^2 -_/6xy
thats the answer you're looking for
Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).
Answer:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Step-by-step explanation:
We want to find the equation of a line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]
And contains the point (-3, 23).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.
We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Substitute:
[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]
Simplify:
[tex]\displaystyle y - 23 = -6 (x+3)[/tex]
Distribute:
[tex]\displaystyle y - 23 = -6x - 18[/tex]
And add. Hence:
[tex]\displaystyle y = -6x + 5[/tex]
In conclusion, our equation is:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
If the value of the x=4 y=3 and z=-2 find value of
A. (x+y)² - 2z B. 2xy-3z C. 2x²-4y+z
Step-by-step explanation:
A=(4+3)²-2(-2)=7²+4=49+4=53
B=2(4)(3)-3(-2)=24+6=30
c=2(4)²-4(3)+(-2)=2(16)-12-2=32-14=18
write 0.32 repeating as a fraction in simplest form.
Answer:
0.32 repeating as a fraction
= 32/99
Step-by-step explanation:
The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.
Let's represent 0.32 repeating as x:
x = 0.323232...
Multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 32.323232...
Now, subtract the original equation from the shifted equation to eliminate the repeating part:
100x - x = 32.323232... - 0.323232...
Simplifying the equation:
99x = 32
Divide both sides of the equation by 99 to solve for x:
x = 32/99
Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
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13. R(-9, 4) and S(2, -1); Find T.
Answer:
you dont have enough information
Step-by-step explanation:
From a population of size 600, a simple random sample of size 58 is selected. The sample mean is 400, and the sample standard deviation is 40. An approximate 95% confidence interval for the population total is _____. a. 350 to 400 b. 350,000 to 450,000 c. 234,010 to 245,990 d. 390 to 409
Answer:
b. 350,000 to 450,00
Step-by-step explanation:
PLEASE ANSWER THIS QUICK!!!!
Suppose you solve an equation and
find that your school needs 4.3 buses for a class trip.
Explain how to interpret this solution.
Answer:
you need 5 buses and 4 will be totally full and one will only be 1/3 full
or you can have 14% of all 5 buses with empty seats
Step-by-step explanation:
I need help/ explanation. Algebra 2 15 points
Stretch the graph of f(x) vertically by a
factor of 2.
I need to know how to do this.
Answer:
For each point on the curve given, make a new point that has the same x value but double the y value.
Step-by-step explanation:
Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.
A cell phone tower casts an
post
80-foot shadow. At the same time, a 6-foot fence
casts a shadow of 4 feet. What is the height of the tower?
You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Step-by-step explanation:
a year = 52 weeks
a year working hours = 45× 52 = 2340 hours
first job rate per hour = $51670 ÷ 2340 hours
= $22
sec job rate per hour = $26
Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
The final model from the Example is shown.
Draw a line around the part of the model that
represents 1 square yard.
Please help thank you
Answer:
Can anyone check out my page and answer my question??
Step-by-step explanation:
.
The area of the given model is 4/6 square yards.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
From the given figure, length of a rectangle is 4/3 yards and the width is 1/2 yards.
Here, area of a model is 4/3 × 1/2
= 4/6 square yards
Therefore, the area of the given model is 4/6 square yards.
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