Please can someone show me their working on these, as I'd really like to know where I went wrong.
Answers
Answer:
C
Step-by-step explanation:
You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.
Answer:
C and B
Step-by-step explanation:
(6)
[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]
Cancel (x - 4)³ on numerator with (x - 4)² on denominator
leaving (x - 4) on numerator and 1 on denominator
= (x - 4)(3x + 6) → C
--------------------------------------------------
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
4a² × 7[tex]a^{\frac{1}{2} }[/tex]
= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]
= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]
= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]
= 28[tex]a^{\frac{5}{2} }[/tex] → B
Related Questions
solve for a?
a
+
-
If a
a
= 2
6 3
=
Answers
4
Step-by-step explanation:
workout the size of angle x
Answers
Answer:
Where is it?
Step-by-step explanation:
Determine whether each situation represents a discrete or continuous function.
a. The function y = 30.48x converts length from x feet to y centimeters. [ A. discrete , B. continuous ]
b. The function y = 3x + 2 represents the amount of water y in gallons in a tank after x minutes.
[ A. discrete ,B. continuous ]
Answers
Answer:
Both of those are continuous
Step-by-step explanation:
A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.
The value of both functions is defined for a continuous interval of x thus both will be continuous.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the first function →
y = 30.48x where x is feet and y is a centimeter of conversion.
Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.
The second function →
y = 3x + 2 where x is minutes and y is the number of gallons in a tank.
Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.
Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".
For more about the function,
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Identify each equation as direct variation, an inverse variation or neither. 6. m=2n 7. y = 6/w 8. st = 18 9. k= 42h 10. p = 3-4
Answers
Answer:
tnx to your points..
god bless you ..
maybe they help for youuu..
For a weekly car rental, a car rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles
Answers
The way you typed out this sentence was a bit confusing but I think you were saying...
For a weekly car rental, a car rental company charges customers a flat fee of $100 + and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)
The equation would be
10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents
so they would be charging $1.50
Hoped this helped!
Have a great day/night! :)
Change the following numbers to decimals and round to the nearest hundredth
5/9
Answers
Answer:
Answer: 5/9 as a decimal is 0.556.
5/9 ≈ 0.56 rounded to the nearest hundredth, good luck
A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each of the following values:
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78
d. a score between 52 and 67
Answers
Answer:
Step-by-step explanation:
o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).
Please help and explain if you can the answer because I don’t know what I’m doing
Answers
Answer:
Step-by-step explanation:
What's 3 1/200 as a percent?
Answers
Answer:
31200=300.5%
Step-by-step explanation:
31200=3+1200
=31+1200
=(31×200200)+1200
=600200+1200=601200
We know that
601200
is the same as
601÷200
Then using
gives us
=3.005
Convert the decimal to a percent:
3.005×100
and rounding to a Max of 2 Decimal Places
=300.5%
I really need help this is due in a little bit and I need to finish
Answers
Answer:
The correct form is [tex]y = -2x + 24[/tex]
Step-by-step explanation:
First we need to interpret the equation of Nolan.
The [tex]y[/tex] means the current value in the bank accountThe [tex]x[/tex] means the past days-2 means that spend each dayand 12 the initial amount in the bankHow you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.
So the correct form of the equation is:
[tex]y = -2x + 24[/tex]
a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second
Answers
1km = 1000 m , thus 56km = 56000 m
1hr = 60 mins
1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr
so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]
Does this graph represent a function? Why or why not?
Ay
10
8
8+
2+
1
-10-8-64
2
+ c
240
-
ON
10
4
-8-
-8-
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the vertical line test.
O C. No, because it is not a straight line.
O D. Yes, because it passes the horizontal line test.
Answers
The answer would e number B.
A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrots
combined. The food store has 384 ounces of peas for all the jars, and the carrots will be divided
equally among the jars. How many ounces of carrots will go into each jar?
Answers
Answer:
1.43 ounces
Step-by-step explanation:
384 / 60 = 6.4
7.83 - 6.4 = 1.43
Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.
a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?
Answers
a.
Lauren was 10 miles away from her house when he started.
Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.
So, with t = 0, d = -2t + 10
= -2(0) + 10
= 0 + 10
= 10 miles.
So, Lauren was 10 miles away from her house when he started.
b.
Lauren was moving at a rate of -2 mph towards her house.
To find how fast Lauren was moving towards her house, we differentiate d with respect to t.
So, dd/dt = d(-2t + 10)/dt
= d(-2t)/dt + d(10)/dt
= -2 + 0
= -2 mph
So, Lauren was moving at a rate of -2 mph towards her house.
c.
The rate is negative because her distance towards her house is decreasing
The rate is negative because her distance towards her house is decreasing since she is moving towards her house.
d.
Lauren is 2 miles away from her house after 4 hours
To find this, we input t = 4 into the equation for d.
So, d = -2t + 10
= -2(4) + 10
= -8 + 10
= 2 miles.
So, Lauren is 2 miles away from her house after 4 hours
Learn more about distance travelled here:
https://brainly.com/question/17997145
Nine more than the product of a number and 3 is equal to 6
Answers
Answer:
x = - 3
Step-by-step explanation:
9 more than the product of a number and three is equal 6.
9 + (x · 3) = 6
9 + 3x = 6
3x = -9 + 6
3x = - 3
x = - 3
Answer:
3x + 9 =6
Step-by-step explanation:
Find m∠BXY.
HELPPPPP PLS
Answers
Answer:
60°
Step-by-step explanation:
Connecting the mid points of the three sides of the triangle makes four more triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.
PLEASEEEE HELP! MY MOM IS GONNA KILL ME
Answers
Answer:
16
Step-by-step explanation:
Since the perimeter of the rectangle is 80, we can set up the perimeter formula:
80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10
10x=70
x=7
AB=2x+2=2(7)+2=14+2=16
Answer:
AB= 16
Step-by-step explanation:
2x+2+3x+3=40
Add like terms: 2x+3x= 5x and 2+3=5
New equation: 5x+5=40
Solve: 40-5= 35
35 divided by 5= 7Now we know that x is equal to 7.
2(7)+2= 16
Side DC equals 16.
Side AB has the same length as side DC since it's a rectangle.
Side AB equals 16.
Let's check: 16+16=32 (side DC and side AB)
80-32=483(7)+3= 2424 must be the length of the other sides.
24+24= 48So, when you add all the sides together...
16+16+24+24= 80
You get 80, the perimeter!
I hope this helped!
Simply the expression
-2.4f + 0.4f -15-3
Answers
Answer:-2.4f + 0.4f -15-3Step-by-step explanation:
Answer:
-1.8f - 19
Step-by-step explanation:
X+y=6 x-y=-2 solve by elimination
Answers
Step-by-step explanation:
x + y = 6
+ x - y = -2
------------------
2x + 0 = 4
x = 2
2 + y = 6
y = 4
Use the slope formula to fond the slope of the line that passes through the two points.
(13, -2) and (3, -2)
Answers
Answer:
Step-by-step explanation:
Notice that the y-component is the same, -2, in these two points. That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.
-2 - (-2)
Alternatively, use m = -------------- = 0
3 - 13
The value of the slope in question is zero: m = 0
What is the property of this math problem please help
Answers
Answer:
distributive property
Step-by-step explanation:
Because distributive property formula is a(b+c) = ab + ac
meaning that w(6+5) = 6w + 5w
Determine the length of the model.
-60 ft-
1 in. = 8 ft
=
Answers
Length of the model = 11.6 inch
Read and analyze the following. Write the correct answer.
1. What is a way of comparing two or more quantities?
2. What is the statement of equality between two ratio? Write a ratio of the following:
3. ?
4. ?
5. Compare the number of balloons to party hats. 三
6. Express the ratio in its simplest form the given figure in number 4. 7. Express the given ratio of four one-peso coins to Php80.00 coins in its simplest form using colon form. answer it with solution pls
Answers
Ratios are simply used to compare two or more related quantities
(a) Comparing quantities
To compare quantities, we make use of ratios.
Hence, a way to compare two or more quantities is by using ratio
(b) Statement of equality between ratios
When two or more ratios are equal, the ratios are said to be equivalent ratios
Hence, the statement of equality between ratios is equivalent ratios
(c) Express (3) and (4) as ratios
There are 10 stars and 8 crosses.
So, the ratio is 10 : 8
There are 3 toys and 9 books.
So, the ratio is 3 : 9
(d) Compare balloons and party hats
There are 12 balloons and 18 party hats.
So, the ratio is 12 : 18
Reduce the ratio as follows:
12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6
So, the comparison is:
There are 2 balloons for every 3 party hats
(e) Simplify (4)
In (4), we have:
Ratio = 3 : 9
Divide by 3
Ratio = 1 : 3
Hence, the simplified ratio is 1 3
(f) Express the currency ratio in its simplest form
The ratio is given as:
Ratio = 4 * 1 peso coin : Php80.00 coin
Evaluate the product
Ratio = 4 peso coin : Php80.00 coin
Divide both sides by 4
Ratio = 1 peso coin : Php20.00 coin
Hence, the simplest form of the ratio is 1 : 20
Read more about ratios at:
https://brainly.com/question/25326254
help me plz i need help
Answers
Answer:
x=16/15
Step-by-step explanation:
if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars
Answers
Answer:
1 pound = 1.389 dollars ( to nearest thousandth)
Step-by-step explanation:
1 pound = 1/0.72 = 1.388888...
0.72p is equal to 72/100 pounds.
On the left is dollars and the right is the pounds
1 = 72/100
Multiply both sides by 100 as we want the right side to equal 1
100 = 72
Divide both sides by 72 to get 1 (pound) on the right
100/72 = 1
This means that the answer is:
1 pound is equal 100/72 or 1.38888888…. Dollars
Help!!! Show work!!!!!
Answers
Answer:
1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)
2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)
3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)
4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)
Step-by-step explanation:
1. Slope = (11-7)/(2-1) = 4/1 = 4/1
y-intercept: 7 - (4)(1) = 3
Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)
2. Slope = (0- - 2)/(8-0) = 1/4
y - intercept = -2-(1/4)(0) = -2
Start on -2 vertical line, 1 up and 4 to the right.
3. Slope = (1-0)/(0-2 = -1/2
y-Intercept: 0 - (-1/2)(2)=1
Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)
4. Slope: (8-1)/(1-0) = 7/1
y-intercept = 1 - (7)(0) = 1
Start on 1 vertical line (y) , seven up and 1 to the right.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?
Answers
Answer:
3 baskets and 6 oranges, 9 pears, 4 bananas
Step-by-step explanation:
the common denominator is 3
How many solutions does this equation have
-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
A) no solution
Step-by-step explanation:
It’s A Contradiction
Answer:
its one solution
Step-by-step explanation:
-20+12
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answers
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12
Answers
Answer:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
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