We can convert the mixed fraction into simple fraction by following method
Step-by-step explanation:Multiply the whole number part by the fraction's denominator.
Add that to the numerator
Then write the result on top of the denominator.
For example [tex]2\frac{3}{5}[/tex] can be written as [tex]\frac{13}{5}[/tex]
Find the side of an equilateral traingle whose perimeter is 75 cm
Answer:
Each side is 25cm long.
Step-by-step explanation:
75/3=25 (This is because each side of an equilateral triangle is equal to each other.) (The perimeter is all sides added together.)
Answer:
equilateral traingle mean all sides are equal..so 75÷3
=25cm
Step-by-step explanation:
its equal....so we just simply just divide..
The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).
The graph of g(x) is shifted vertically :
a) 5 units above the graph of f(x)
b) 5 units below the graph of f(x)
c) the graph is not shifted vertically from the graph of f(x)
The graph of g(x) is shifted horizontally:
a) 5 units to the left of the graph of f(x)
b) 5 units to the right of the graph of f(x)
c) the graph is not shifted horizontally from the graph of f(x)
PLEASE I NEED HELP
I will give brainliest
[tex]\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}[/tex]
[tex]\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\[/tex]
[tex]\bf \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now, with that template in mind, let's take a look
[tex]\bf \begin{cases} f(x)=&2^x\\ g(x)=&f(x+k)\\ & f(x-5)\\ &2^{x-5} \end{cases}~\hspace{10em}g(x)=2^{\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{-5})}+\stackrel{D}{0} \\\\\\ \textit{horizontal shift by }\cfrac{C}{B}\implies \cfrac{-5}{1}\implies -5\qquad \qquad \textit{ of 5 units to the right}[/tex]
The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).
The correct option is (b).
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given 2 functions, and we have to find out the shift in the graph.
f(x) = 2^x
g(x) = f(x+k)
When the value of k = -5 we have to find out the shift in the graph of g(x).
For finding out the shift in the graph of g(x):
g(x) = f(x+k)
By substituting the given value of f(x) = 2^x and k = -5:
g(x) = 2^(x-5)
When y = f(x) is changed to y = f(x - 5) the graph of f(x) shifts 5 units to the right horizontally.
Similarly, for g(x) = 2^(x-5) the graph will shift by 5 units to the right.
Hence, The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).
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A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent
Answer:
The unit rate is 0.11 $/ounce
Step-by-step explanation:
we know that
To find the unit rates divide the total cost by the total volume
so
(6/54)=0.11 $/ounce
Simplify (x-5)(x^2-2x-6)
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
The equation is already simplified to its fullest if we're looking at factored form.
Otherwise, just multiply everything out using a punnett square.
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
I just did this one hope this helps
LMK ASAP 10 POINTS........
Answer:
20cm
Step-by-step explanation:
Answer:
The correct answer is option 2
45 cm
Step-by-step explanation:
It is given a circle with circumference C = 180 cm
To find the length of arc ABC
From the figure we can see that the central angle of arc ABC = 90°
Therefore the arc length = (90/360) * Circumference
Arc ABC = (90/360) * 180 = (1/4) * 180 = 45
Therefore arc length = 45 cm
The correct answer is option 2
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix
we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.
[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]
To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.
Explanation:To find out how much of each color to mix, we can set up a proportion.
Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.
We can set up the following equation:
1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons
Cross multiplying gives us:
5x = 1.5(16.25 - x)
Simplifying the equation gives us:
5x = 24.375 - 1.5x
Combining like terms gives us:
6.5x = 24.375
Dividing both sides by 6.5 gives us:
x = 3.75
So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.
X intercept
Of v^2 +5v+6=0
Answer:
x-intercepts:x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).Step-by-step explanation:
[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]
Gerald was able to mow 1/2 of a lawn in 12 minutes how many lawns could he mow in 2 hours
Answer:
5
Step-by-step explanation:
he can mow one lawn in 24 min
2 hours=120 min
120÷24=5
Help here’s a few examples!!
QUESTION 1
The given expression is
2+8
The greatest common factor of 2 and 8 is 2.
We can rewrite as: [tex]2+8=2\times1+2\times4[/tex]
Factor to get: [tex]2+8=2(1+4)[/tex]
QUESTION 2
Given: 9-3
Greatest common factor of 9 and 3 is 3.
Rewrite as: [tex]9-3=3\times3-3\times1[/tex]
Factor: [tex]9-3=3(3-1)[/tex]
QUESTION 3
Given: 30+25
Greatest common factor of 30 and 25 is 5.
Rewrite as: [tex]30+25=5\times6+5\times4[/tex]
Factor: [tex]30+25=5(6+4))[/tex]
QUESTION 4.
Given: 35-14
The greatest common factor of 35 and 14 is 7.
Rewrite as: [tex]35-14=5\times7-2\times7[/tex]
Factor: [tex]35-14=7(5-2)[/tex]
QUESTION 5
The given expression is 81-18.
The greatest common factor of 81 and 18 is 9.
Rewrite as: [tex]81-18=9\times9-9\times2[/tex]
Factor: [tex]81-18=9(9-2)[/tex]
QUESTION 6
Given: 60+100
The greatest common factor of 60 and 100 is 20.
Rewrite as : [tex]60+100=20\times3+20\times5[/tex]
Factor: [tex]60+100=20(3+5)[/tex]
QUESTION 7
Given: 28-20
The greatest common factor of 28 and 20 is 4.
Rewrite as: [tex]28-20=4\times7-4\times5[/tex]
Factor: [tex]28-20=4(7-5)[/tex]
QUESTION 8
Given: 72+48
The greatest common factor of 72 and 48 is 24.
Rewrite as: [tex]72+48=24\times3+24\times2[/tex]
Factor: [tex]72+48=24(3+2)[/tex]
QUESTION 9
The given expression is [tex]12x+18[/tex].
The greatest common factor of [tex]12x[/tex] and 18 is 6.
Rewrite as; [tex]12x+18=6\times2x+6\times3[/tex]
Factor; [tex]12x+18=6(2x+3)[/tex]
QUESTION 10
Given: [tex]4y+10[/tex]
The greatest common factor of [tex]4y[/tex] and 10 is 2.
Rewrite the expression as; [tex]4y+10=2\times2y+2\times5[/tex]
Factor: [tex]4y+10=2(2y+5)[/tex]
v2=17
(round to the nearest tenth as needed.Use a comma to separate answers as needed.)
Put the answer into a calculator;
-√17 = -4.123105626
√17 = 4.123105626
Round to the nearest tenth by looking at the 2nd digit after the decimal point. If it is 5 or greater, round up, otherwise round down.
-√17 = 4.123105626
2 is less than 5, so we leave it as it is.
-√17 ≈ -4.12
√17 = 4.123105626
2 is less than 5, so we leave it as it is.
√17 = 4.12
v ≈ -4.12, 4.12
simplify (2r^3)^2
a. 2r^5
b. 2r^6
c. 4r^5
d. 4r^6
Answer:
The answer is D. 4r^6.
<3
-Callie
Step-by-step explanation:
Answer:
D. 4r^6.
Step-by-step explanation:
Dan earned $300 in 3 days. How much money does Dan earn per day?
Answer:
100 $
Step-by-step explanation:
Hello
If
300 $ ----> 3 days
X -----------> 1 day
X = [300*1] / (3)
X = 100 $
Best regards
help me please asap!
4 · x^4 · x^4 · y
4 x^8 y
In words: four times x to the eighth times y
which choice is equivalent to the expression below? heLp!
What’s the square root of 108 a to the 7th power b to the 5th power
Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
2. What’s the answer to this question please!
Answer:
D.
Your doing it for a week..5 days, his cases are 12, but how many cases(c) does he need to sell minus his rent vs what his goal is.
Solve. x2 + 10x = −24
➷ Add 24 to both sides:
x^2 + 10x + 24
Find two values that multiply to make 24 but add to make 10
As you will notice, this is 6 and 4
Now factorize it:
(x + 4)(x + 6)
The values of x would be the opposite of what is in the parenthesis
Therefore x = -4 or x = -6
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
x= -6 x=-4
Step-by-step explanation:
x2 + 10x = −24
Add 24 to each side
x2 + 10x+24 = −24+24
x2 + 10x +24=0
Factor
(x+6) (x+4) = 0
Using the zero product property
x+6 = 0 x+4 = 0
x+6-6 = 0-6 x+4-4 =0-4
x= -6 x=-4
What is the tangent of angle Z?
Answer:
C) 12/5
Step-by-step explanation:
Tan = Opposite / Adjacent
So
Tan(Z) = YX /YZ
Given: YZ = 5 and XZ = 13
so
(YZ)^2 = (XZ)^2 - (YZ)^2
= 13^2 - 5^2
= 169 - 25
= 144
YZ = 12
Tan(Z) = YX /YZ
Tan(Z) = 12/5
Single bottles are sold for $1.25. A six pack is sold for $7.20. A twelve pack is sold for $13.80 and a case of 24 bottles is sold for $26.40. When you are buying a case of 24, how much less do you pay per bottle than when buying a 12 pack. Show your answer.
Answer: 5 cents less
Step-by-step explanation:
The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.
Answer:
0.05
Step-by-step explanation:
There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00
store a single drink cost $3/12 =25c
store b single drink cost $5.50/ 22 = 25c
store c single drink cost $4.75/18 = 26c
store d single drink cost $8/36 = 22c
hence store d offers the best buy
To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.
Explanation:To determine which store offers the best buy, we need to compare the prices per can or pack of each store.
Store A offers a 12 pack for $3.00, so each pack costs $3.00/12 = $0.25 per can.Store B offers a 22 pack for $5.50, so each pack costs $5.50/22 = $0.25 per can.Store C offers an 18 pack for $4.75, so each pack costs $4.75/18 ≈ $0.26 per can.Store D offers a 36 pack for $8.00, so each pack costs $8.00/36 ≈ $0.22 per can.Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.
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can you please help me
Answer:
[tex]\large\boxed{f(-7b)=-35b+10}[/tex]
Step-by-step explanation:
[tex]\text{Put}\ v=-7b\ \text{to the function}\ f(v)=5v+10:\\\\f(-7b)=5(-7b)+10=-35b+10[/tex]
The values in the table represent a exponential function. What is the common difference of the associated geometric
Answer:
A) 4
Work is shown in attached sheet! :)
Answer:
Option A is correct
Common ratio = 4
Step-by-step explanation:
Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.
[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]
As per the statement:
The values in the table represent a exponential function.
Since, Geometric sequences and exponential functions are very closely related to each other.
At x= 1;
y = 9
At x = 2;
y = 36 and so on....
By definition we have;
[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]
After solving we get;
r =4
Therefore, the common ratio of the associated geometric is, 4
what expression is equivalent to the number 28 19/100
Answer:
20 + 8 + 0.1 + 0.09
Step-by-step explanation:
Answer:
20 + 8 + 0.1 + 0.09
20 wholes +8 wholes =28 then...
.1 tenth+.09 hundereths=.19 add..
28+.19=. 28.19
Using 3.14 for p, what is the volume of a ball with a radius of 3 centimeters?
Answer: 113.1
Step-by-step explanation:
first you have to multiply 4/3*pie or 3.14 times 3
4/3 x 3.14 x 3 = 113.1
Which of the following expressions are equivalent to (x + 0) + y + 0
Choose all answers that apply:
A. x + y
B. x + 0 + (y + 0)
C. None of the above
Answer:
X + Y and x+0+(y+0) are both correct
Step-by-step explanation:
Explanation is on the image
Option A, x + y and B. x + 0 + (y + 0)
(x + 0) + y + 0 is equivalent to.
equation is the relationship between variable and represented as is example of polynomial equation.
(x + 0) + y + 0
= x + 0 + (y + 0 )
= x + y
Thus both the option A. and B. is correct.
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3/5 divided by 1/4 as a word problem
Answer:
Step-by-step explanation:
12/5 is the answer.
Bonjour,
combien fait 87$ augmenté de 200% ?
Bonsoir,
Combien fait 87$ augmenté de 200% ?
87 $ x 200/100 = 174 $ d'augmentation,
174 + 87 = 261 $
lorena’s backpack has a mass of 20,000 grams. what is the mass of lorena’s backpack in kilograms?
Answer:
20 kg
Step-by-step explanation:
If we want any value in grams to be in kilograms, we divide it by 1000
in this example: 20000/1000
=20 kg
Someone please help ASAP will give brainliest
Answer:
jk(x) = -16x^2 -12x+10
Step-by-step explanation:
j(x) = -4x+2
k(x) = 5+4x
jk(x) = (-4x+2) (5+4x)
FOIL
-4x*5 +-4x*4x +2*5 +2*4x
Combine like terms
-20x-16x^2 +10+8x
-16x^2 -12x+10
jk(x) = -16x^2 -12x+10
What values of x satisfy x 2 + 2 x = 24?
- 6, - 4
- 6, 4
6, - 4
6, 4
Answer:
x = -6 x=4
Step-by-step explanation:
x^ 2 + 2 x = 24
Subtract 24 from each side
x ^2 + 2 x-24 = 24-24
x^2 +2x -24 = 0
Factor
What 2 numbers multiply to -24 and add to 2
6*-4 = -24
6+-4 = -2
(x+6) (x-4) =0
Using the zero product property
x+6 =0 x -4=0
x+6-6=0-6 x-4+4=0+4
x = -6 x=4