Answer:
option B
Step-by-step explanation:
[tex](a+b)^4\\\\=(a+b)^2(a+b)^2\\\\=(a^2+2ab+b^2)(a^2+2ab+b^2)\\\\=a^2(a^2+2ab+b^2)\\\\+2ab(a^2+2ab+b^2)\\\\+b^2(a^2+2ab+b^2)\\\\=a^4+2a^3b+a^2b^2\\\\+2a^3b+4a^2b^2+2ab^3\\\\+a^2b^2+2ab^3+b^4\\\\=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]
What is the x-value of point A? Please answer quick I am timed Thank you!
Answer:
A = (5, 3), so the x-value is 5
Step-by-step explanation:
Answer:
(5, 3), so the x-value is 5
Step-by-step explanation:
Person above me right thank you person above me
HELP PLS!!!!!!!!
Question 7 of 10
f(x) = x2. What is g(x)?
A.
g(x) = x2 – 2
B.
g(x) = –x2 – 2
C.
g(x) = –2x2
D.
g(x) = –x2
Answer:
g(x)= -x2-2
Step-by-step explanation:
F(x)=x2
So, the graph of g(x) will shift -2 units in y axis
hence,
g(x)= -x2-2
!!!!WILL MARK BRAINLIEST!!!! f(x) = x + 1 g(x) 2/x which polynomial is equivalent to (f o g)(x)
>CHECK PICTURE<
Answer:
C
Step-by-step explanation:
We are given that:
[tex]\displaystyle f(x)=x+1\text{ and } g(x)=\frac{2}{x}[/tex]
And we want to find:
[tex]f(g(x))[/tex]
Therefore, we will substitute the equation for g(x) for the x in f(x). This yields:
[tex]\displaystyle f(g(x))=\big(\frac{2}{x}\big)+1[/tex]
Simplify:
[tex]\displaystyle f(g(x))=\frac{2}{x}+1[/tex]
Hence, our answer is C.
Kiran says that the
Blep
pattern is growing
linearly because as the step number goes up by 1, to
number of rows and the number of columns also
increase by 1. Do you agree? Explain your reasoning
Answer:
what?
Step-by-step explanation:
A gardener who wants a rectangular garden whose lot perimeter is 40 meters is suggested by a fellow gardener a plan that would make it so that the build would have a maximum lot area. What could be the suggestion? You must answer in a mathematical solution. Show work.
Answer:
a*(20-a)
Step-by-step explanation:
Let's assume that the length of the garden is a the width is b and the area is s.
b = 40/2 - a = 20-a
s =a*(20-a)=-a^2+20a=-(a-10)^2+100
then,
when a=10, max(-(a-10)^2) =0, max(s)=100
will give brainliest
determine the value of sin(-240°)
Answer:
[tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Given
sin(- 240°)
To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then
ain(- 240°)
= sin(- 240 + 360)°
= sin120°
= sin( 180 - 120)°
= sin60°
= [tex]\frac{\sqrt{3} }{2}[/tex]
A store was having an end-of-summer sale with a discount of 25% on all swimsuits. Sarah saw a swimsuit she liked that had an original price of $60. What is the swimsuit's discounted price?
at tge local bookstore jim bought 2 paperback books for 13.00. Maria bought 5 paperback books for 45.00.
help plzzz
3x - 4 = -2x + 31
Answer:
x=-7
if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you
Write and solve a proportion to complete the statement. Round to the nearest hundredth. 2800 ft ≈ mi
Answer:
1 mile = 3 ft
Therefore, the number of miles that equal 2800 ft is 2800÷3.
The answer: 933.33
Step-by-step explanation:
The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of graph would be the most appropriate for Brittney to use?
More likely a line graph
Answer:
line graph
Step-by-step explanation:
Is 2/10 greater than 1/8?
Answer:
1/8 is SMALLER then 2/10
Answer:
2/10 is greater
Step-by-step explanation:
2/10 and 1/8, hard to tell since they have different denominators. So let's make them have the same denominators, multiply 2/10 with 4/4 and 1/8 with 5/5.
If u don't want to think too much to find a number they can both be multiplied too, simply multiply each fraction with the others denominator, so 2/10 times 8/8 and 1/8 times 10/10. It doesn't rlly matter what factor u choose to multiply with as long as the denominator is the same.
So back to the first one, 2/10 times 4/4 is 8/40, 1/8 times 5/5 is 5/40.
8/40 > 5/40
Therefore 2/10 is greater
A quadrilateral has a side length of x+6 inches and a perimeter of 49 inches. Which equation represents this situation? a. 4x + 6 = 49 b. 4(x + 6) = 49 c. X + 6 = 49 d. X + 24 = 49
Answer:
b. 4(x + 6) = 49
Step-by-step explanation:
Step two:
given data
A quadrilateral has a side length L of x+6 inches
Perimeter= 49 inches.
Required:
the expression for the perimeter of the quadrilateral given the situation
Step two:
A quadrilateral has four sides, assume we have a square-shaped quadrilateral
P=4L
49= 4(x+6)
26(92' please someone tell me what this means
In a bag,There are red and blue cubes in the ratio 4:7.I add 10 more red cubes to the bag.Now here are red and blue cubes in the ratio 6:7.How many blue cubes are in the bag?
Given:
The ratio of red and blue cubes is 4:7.
After adding 10 more red cubes the ratio of red and blue cubes is 6:7.
To find:
The number of blue cubes.
Solution:
The ratio of red and blue cubes is 4:7.
Let the number of red and blue cubes be 4x and 7x respectively.
After adding 10 more red cubes.
Number of red cubes = 4x+10
Then, the ratio of red and blue cubes is 6:7.
[tex]\dfrac{4x+10}{7x}=\dfrac{6}{7}[/tex]
[tex]7(4x+10)=6(7x)[/tex]
[tex]28x+70=42x[/tex]
[tex]70=42x-28x[/tex]
[tex]70=14x[/tex]
Divide both sides by 14.
[tex]5=x[/tex]
Now,
Number of blue cubes in the bag is
[tex]7(5)=35[/tex]
Therefore, the number of blue cubes is 35.
The product of a negative number and zero is?
Answer:
0
Step-by-step explanation:
Eg:
-5*0=0
-1*0=0
Easy answer for people good at right triangles.
Coraline spent $78 on 4 T-shirts. How much did each T-shirt cost? Explain your answer
Answer:
$19.50
Step-by-step explanation:
You can set up a simple equation where t-shirts are represented by t and cost by c.
$78=4t.
To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is
$19.50=1t
And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.
Please help due in 10 minutes
Translate (-7, 4) to the right 5 and up 7
15 POINTS AND ILL MARK BRAINIEST
State the Axis of Symmetry of the function:
f(x)=-|-x-2|-4
Answer:
x = 4 i think
Step-by-step explanation:
If tan 0 = 0.5, find the cot 0
Answer:
2
Step-by-step explanation:
[tex]tan\ x = 0.5\\\\\frac{sin\ x}{cos\ x}=0.5\\\\sin\ x=0.5(cos\ x)\\\\1=0.5(\frac{cos\ x}{sin\ x})\\\\1=0.5(cot\ x)\\\\\frac{1}{0.5}=cot\ x\\\\2=cot\ x \\[/tex]
Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?
Answer:
Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:
Ben is making costumes for the school play. For each costume he needs 2.125 yards of fabric. Fabric is $3.49 a yard and sales tax is 6%. Calculate the cost to make 13 costumes
Answer:
$7.87
Step-by-step explanation:
Step one:
given data
For each costume, he needs 2.125 yards of fabric
cost of Fabric is $3.49 a yard
Required
The total cost of making the costume
Step two:
Hence the total cost of fabric needed is = 2.125*3.49= $7.42
sales tax is 6%
= 6/100*7.42
= 0.06*7.42
=$0.45
Therefore total cost of the costume is = 7.42+0.45= $7.87
A plot in the shape of a
rectangle measures 608 m
264m. Equidistant fencing post are
placed along to length and breadth as fsr ss possible. find
The distance between the post
Answer:
The maximum distance between posts is 8 m
Step-by-step explanation:
There is a rectangle-shaped plot where we have to place equidistant posts at the maximum possible distance. The dimensions of the plot are 608 m and 264 m.
The maximum distance between posts is given by the maximum possible divisor of 608 and 264. That number is called the greatest common divisor (GCD).
It can be found by factoring both numbers:
[tex]608 = 2^5*19[/tex]
[tex]264 = 2^3*33[/tex]
The GCD is the product of all common factors with the least exponent. The only common factor is 2 and the least exponent is 3. Thus the GCD is 2*2*2=8.
The maximum distance between posts is 8 m
Given that: SinA = a/b, then cosA =
Answer:
please see it my step solution work
Plzzz I need help with this question I tried to solve it many times but I can't
Let x represents a length in cm where x > 1.5.
AB = 2x – 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Sj.
• CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1, S2 and S3 in terms of x.
2) Let S = Si + S2 - Sz.
a) Show that S = (2x - 3)(5x - 9).
b) For what values of x, the areas of AFGC and ADEB are equal?
c) Expand and reduce S.
d) What is the value of x, so that the area of AFGC exceed the area of ADEB by 27?
Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: [tex]A1=\frac{(base)(height)}{2}[/tex]
Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]
Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:
[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]
[tex]S1=4x^{2}-12x+9[/tex]
Area of rectangle S2:
[tex]S2 = (4x-6)(3x-2)[/tex]
[tex]S2=12x^{2}-26x+12[/tex]
Area of trapezoid S3:
[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]
[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]S3=6x^{2}-5x-6[/tex]
2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]
[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]
[tex]S=10x^{2}-33x+37[/tex]
Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:
[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]
[tex]20x^{2}-66x+54=0[/tex]
Using Bhaskara to solve the second degree equation:
[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]
[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8
[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:
[tex]S=(2x-3)(5x-9)[/tex]
[tex]S=10x^{2}-18x-15x+27[/tex] (expand)
[tex]S=10x^{2}-33x+27[/tex] (reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]
[tex]20x^{2}-66x+27=0[/tex]
Solving:
[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]
[tex]\frac{66+46.86}{40}[/tex]
[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82
[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82
. 76 eleventh-grade students turned in term papers on the United States Constitution. 3 students failed, 26 students recieved C's, 31 students recieved B's. The remaining students earned A's on their papers. What percentage of students earned A's on their paper? (Round to the nearest percent.)
At the start of the week, you could run for 8 minutes. By the end of the week, you could run for 15 minutes. Which proportion could you use to find the percent increase in your running time? A. 7\15=n1\00 B. 8\7=n1\00 C. 7\8=n1\00 D. 8\15=n\100
Answer:
8/15=n/100
Step-by-step explanation:
The number of camera phones shipped globally can be modeled by the function y = 1.28e 1.31x where x is the number of years since 1997 and y is the number of camera phones shipped (in millions). How many camera phones were shipped in 2002?
Answer: 895 phones
Step-by-step explanation:
Given that :
The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997
y = number of camera phones ; x = number of years since 1997
The number of camera phones shipped in the year 2002 can be obtained thus ;
x = 2002 - 1997 = 5 years
y = 1.28e^(1.31 * 5)
y = 1.28e^6.55
y = 1.28(699.24417)
y = 895.03254
y = 895 phones