I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
Solve the system of equations.
y=5x+9
y=8x-6
Answer:
(5,34)
Step-by-step explanation:
6x+ 14 <--28
AND
3r + 28 < 25
Answer:
what?
Step-by-step explanation:
What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?
Answer:
[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
Step-by-step explanation:
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].
Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.
The vertex form of a downward-opening parabola is given by:
y=a(x-4)²+k
Where (h, k) is the vertex of the parabola.
The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.
So, we have:
Vertex: (h, k) = (2, 4)
Stretched factor:
a=-3
Now plug these values into the vertex form equation:
y=-3(x-2)²+4
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please help me!
ty :D
Answer:
x = 3,0 y = 0, -4
Step-by-step explanation:
Answer:
x - intercept (0, 3)
y - intercept (-4, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
lesson 5 practice problems
Answer:
Step-by-step explanation:
ok ill help but can soke one help me too
HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.
Answer:
reflection over x-axis
hope that helps!!!
Simple Geometry Question 100 Points
How do you use coordinates to find the area of polygons?
Answer:
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
Step-by-step explanation:
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?
If any doubt leave a comment
It’s the end of the soccer season and all equipment at the Sports Stop is on sale. What is the sale price of a soccer ball that regularly sells for $28? (ANSWER THE QUESTIONS BELOW)("Ticket",The Sports Stop: All soccer equipment is on sale for 20% OFF the regular price!)
What does “20% off the regular price” mean? How do you write 20% as a decimal ?What is the regular price of the soccer ball? How would you find 20% of the regular price? What would you do with this amount to find the sale price? What is the sale price? Summarize the steps you would take to find the sale price given the regular price and a percent discount.
Answer:
22.4
Step-by-step explanation:
0.2*28=5.6
28-5.6=
22 of the 30 students in Evan's grade have a pet. What is the ratio of the number of students who do not have a pet to the number of students who have a pet?
Answer:
8 to 22
Step-by-step explanation:
if there are 22 people that have a pet whens there is 30 students in total, you have to do, 30-22, and 30-22=8 meaning there are 8 students who don't have pets.
And if already says 22 students have pets, therefore the answer is
8 to 22
8:22
PLEASE HELP ME!! THANKS :)
Answer:
1. y=7
2. y=17
3. y=21
4. y=24
Step-by-step explanation:
I hope you're able to complete the problem, have a great day/night! <3
During a sale, a store offered a 25% discount on a tablet computer that originally sold
for $320. After the sale, the discounted price of the tablet computer was marked up
by 25%. What was the price of the tablet computer after the markup? Round to the
nearest cent.
Answer:
304
Step-by-step explanation:
x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Answer: she/he is wrong.
Step-by-step explanation:
no offence.
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
Can someone help? This is hard
I need help and I can’t find any sadly. Help!!
Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality
Step-by-step explanation:
equivalent expressions to 3/5x +3
Step-by-step explanation:
......3(x+5)/5......
th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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A hot air balloon went from an elevation of 5,201 feet to an elevation of 3,339 feet
in 28 minutes.
What was its rate of descent
There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?
Answer:
36 points
Step-by-step explanation:
3x14 = 42
1x6 = 6
42-6 = 36
Hope that helps
Answer:
54 hope this helps
Plz help solve them thank you in advance!
#1
[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]
#2
[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]
#3
[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]
#4
[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]
please help me I do not understand it please
Answer:
x= 0
y= 2
explanation in the picture attached (tap the image to view it fully)
For what values of x: Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?
Answer:
x = 0 , x = 3
Step-by-step explanation:
Equate the 2 expressions and solve for x
3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )
3x² - 9x = 0 ← factor out 3x from each term
3x(x - 3) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made
Answer:
30:12
Step-by-step explanation:
help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.
At this rate, what can Ester expect the approximate value of the car to be after 6 years?
Question 6 options:
$1,409
$2,202
$4,200
$1,762
Answer:
$2,202
Step-by-step explanation:
If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.
80% can be written as .80.
Multiply the value of the car by .80 6 times.
8400 multiplied by .80 = 6720
6720 multiplied by .80 = 5376
repeat this sequence 4 more times to come to an answer of 2,202
6 - 3/8x = 15
what is x
Answer:
Step-by-step explanation:
the answer is -480
Answer:
x = -24
Step-by-step explanation:
First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you
- 3/8x = 15-6
-3/8x = 9
Divide both sides by - 3/8
Then x = - 24
a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????
Answer:
38%
Step-by-step explanation:
20%-30%, 100%-30%, 20%-6%
80%-40%, 100%-40%, 5%-2%, 80%-32%
32+6=38%
Help Me!
Refer To The Attachment
NOTE: Only for best users like Itz0kaul,Mscute, Mhanifa etc.
Spams Not allowed
Need answer with explanation
If you don't know the answer don't answer.
Thank You!
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
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