Answer:
i believe the answer is B
Step-by-step explanation:
hope this helps
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
Read more about difference of two squares at:
https://brainly.com/question/3189867
Help please like please
Answer:
With What?
Step-by-step explanation:
how many sides does a 1,260 degree polygon have?
4(x+3) +m(x+3)
Please factorize
Answer:
4x+12+mx+3m
You use the FOIL method.
Answer:
(4+m)(x+3)
Step-by-step explanation:
x+3 is a common factor, so you can convert this to put the other 2 parts in a bracket. This results in (4+m)(x+3).
An example of how this works is if you made m=1 and x=2. This would make the original expression 4(2+3)+1(2+3), or 4×5+1×5, which is 5×5 or 25. (1+4)(2+3) also equals to 5×5.
**You may want to revise factorising algebraic equations. I'm always happy to help!
Select all of the expressions which show how to convert 2.5 yards into inches.
Answer:
90
Step-by-step explanation:
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing
Answer:
x≥10 or x∈[10, ∞)
Step-by-step explanation:
The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.
Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).
A question about the sequence.
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
Match each formula to what it measures.
1. 2 l + 2 w
surface area of a cylinder
2. Πr2
area of a circle
3. 2 Πr2 + 2 Πrh
perimeter of a rectangle
4. Bh
volume of a triangular prism
Answer:
1. 2l + 2w
Perimeter of a rectangle
2. πr2
Area of a circle
3. 2πrh+2πr^2
Surface area of a cylinder
4. Bh
Volume of a triangular prism.
(This formula means the area of the base multiplied by the height)
Step-by-step explanation:
I really hope this helps!
Pls help!! I can’t figure out how to do thisss
Answer: 30 and 26
Step-by-step explanation:
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
cot²3x - 3cot3x +2 = 0
cotx = t
what equation for t
Answer:
Step-by-step explanation:
cot²(3x)=y
y²-3y+2=0
y²-y-2y+2=0
y(y-1)-2(y-1)=0
(y-1)(y-2)=0
y=1,y=2
cot3x=1
tan 3x=1=tan (π/4)=tan (nπ+π/4)
3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4
x=(4nπ+1)π/12,n is an integer.
cot 3x=2
tan 3x=1/2
3x=tan^{-1}(1/2)≈26.57°+360n
x≈8.86°+120n
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
find the composition of transformations that map pqr to p'q'r translate, somebody help!?
Answer:
Translate 2 unit(s) to the right and then reflect over the x-axis
Step-by-step explanation:
You have to move the coordinates of P, Q, and R to the right by 2 so just add 2 to the x coordinate in order to to the first part of the transformation.
After that flip it so that y coordinate of the points are negative to the position they were after translating to the right.
After translating two units to the right, reflect over the x-axis.
What is translation in mathematics?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) →(x + 5, y + 3).
Given
Simply add 2 to the x coordinate to complete the first phase of the transformation since you must move the coordinates of P, Q, and R to the right by 2.
Then reverse it so that the points' y coordinates are opposite to where they were before being translated to the right.
To learn more about translation refer to:
https://brainly.com/question/1046778
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If p(x) = x^3 + 3x^2 - 2x + 4, then find the value of
p(2) + P(-2) - (0)
Answer:
the answers is =-0
Step-by-step explanation:
is -0
m∠=6, m∠=+20, and m∠=40+3. List the sides of △ in order from shortest to longest.
Answer:
m∠=6, ,m∠=+20,m∠=40+3
the larger the angle, the larger the side
I NEED HELP PLEASE UHHH PLEASE I NEED HELP UUUUHHHHHHH
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
Answer:
Sulio needs 28 feet of fencing
Step-by-step explanation:
P= 2l + 2w
Length- 8 ft
Width- 6 ft
Use formula with the given:
2(8) + 2(6)
= 16 + 12
= 28
Therefore, Sulio needs 28 feet of fencing
Hope this helps
Answer:
a, b, c, d
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 433 grams with a standard deviation of 23. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence
Step-by-step explanation:
The hypothesis :
H0 : μ = 436
H1 : μ < 436
Xbar = 433
s = 23
Sample size, n = 28
The test statistic :
(xbar - μ) ÷ (s/√(n))
(433 - 436) ÷ (23/√(28))
-3 ÷ 4.3465914
Test statistic = - 0.690
The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27
Pvalue = 0.248
Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
If the sum of three consecutive integers is 36 what is the smallest integer?
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
Please Help Me To Solve For X
Answer:
u & v = 8
Step-by-step explanation:
This triangle is a special 45-45-90 triangle!
In a 45-45-90 triangle, to solve for the hypotenuse use the formula
[tex]h=(sidelength)*\sqrt{2}[/tex]
Here we see that 8 is being multiplied by radical 2!
We can prove that 8 is the side length by using the Pythagorean Theorem!
Tina, a single woman, earned wages of $70549, received $1287 in interest from a savings account, and contributed $2753 to a tax-deferred saving plan. She contributed $1505 to charity. Find Tina's federal tax. (More info in the attachment)
Answer:
[tex]\$14,733.25[/tex]
Step-by-step explanation:
Taxable income refers to the income subject to taxes from government, including but not limited to federal tax.
Since taxable income is equal to $58,933, tax will be based off of this value. Because Tina is single and her income falls within the 25% range, her federal tax is equal to:
[tex]\$58,933\cdot 0.25=\boxed{\$14,733.25}[/tex]
Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
Item 8 You choose two different movies on a list at random. Out of 15 movies on the list, 9 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
4/7
Step-by-step explanation:
Pr = Expected outcome/Total outcome
Since Total movies = 15
Total outcome = 15
If there are 9 actions movies
Pr(selecting the first action movie) = 9/15
Since the total remaining movies will be 14 (no replacement)
If the second movie is taken, Pr(second action movie) = 8/14 = 4/7
ASAP work pls answer