Step-by-step explanation:
a² + b²
difference of two square
= (a + b)(a - b)
Answer:
see explanation
Step-by-step explanation:
(a + b)(a - b)
each term in the second factor is multiplied by each term in the first factor, that is
a(a - b) + b(a - b) ← distribute parenthesis
= a² - ab + ab - b² ← collect like terms
= a² - b²
If you don’t know the answer please don’t comment.
Find:
(f + g)(x) for f(x) = 2x^2 − 8 and g(x) = x + 2
A.) 2x^2 − x − 6
B.) 4x^2
C.) 3x^2 − 6
D.) 2x^2 + x − 6
Answer:
D) 2x^2 + x -6
Step-by-step explanation:
(2x^2 - 8) + (x+2)
combine like terms
2x^2 + x -6
Given the following data from a sample find the sample standard deviation. 5, 16, 24, 15, 2, 8
Answer:
8.2
Step-by-step explanation:
The sample standard deviation measures the spread ofa data distribution of the sample. It is usually used toestimate the population standard deviation.
How’s this for 20 characters or more brainly
Answer:
x-intercept = 3/4
y-intercept = -3
Step-by-step explanation:
4x - y = 3 (Given)
To find x-intercept plug y = 0 in the given equation.
4x - 0 = 3
4x = 3
x = 3/4
To find y-intercept plug x = 0 in the given equation.
4(0) - y = 3
0 - y = 3
- y = 3
y = -3
A can of soup weights 251 grams. How many cans
Would weigh about a kilograrn?
Answer:
0.251 kg
Step-by-step explanation:
To convert from grams to kilograms, we divide the # of grams by 1000, or move the decimal point to the right by 3.
[tex]25.1[/tex] [tex]2.51[/tex] [tex]0.251[/tex]Therefore, the answer is 0.251 kg.
Answer:
4 cans
Step-by-step explanation:
1kg = 1000g
=> 1000g/251g
= 3.9 cans which is around 4
Multiply the polynomials (x + 3) (2x – 4). What is the product in the form ax² + bx + c?
answer:
2x²+2x-12
explanation:
(x + 3) (2x – 4) [ open the bracket ]
x(2x) -4(x) +3(2x)+ 3(-4) [ multiplication ]
2x²-4x+6x-12 [ simplify ]
2x²+2x-12 [ final answer ]
Answer:
We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.
We will get the polynomial: p(x) = 2 * x² + 2 * x - 12
Step-by-step explanation:
We just want to multiply (x + 3) and (2*x - 4).
So we start by writing:
(x+3) * (2*x-4)
Now we just expand this:
(x+3) * (2*x-4) = 2 * x² + x * (-4) + 3 * (2 * x) + 3 * (-4)
Now we need to simplify the above expression:
2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12
This is the polynomial we wanted to get:
p (x) = 2 * x² + 2 * x - 12
If you want to learn more, you can read:
brainly.com/question/11536910
Hannah drew square a with a side length of 8 centimeters, as shwon in the diagram below. Hannah used a scale fatctor of 6/4 to dilate Square A and square A' what was the perimeter of Square A'
Answer:
80cm
Step-by-step explanation:
8 x 6/4 = 20
20 x 4 = 80
Answer:
0.5
Step-by-step explanation:
Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.
:)
Sandy went to her local zoo that featured 34 tion exhibits. If the zoo features 40
exhibits in total, then what percent of the zoo's exhibits feature lions? Round your
answer to the nearest whole number if necessary.
Answer:
85%
-> If 34 of the 40 exhibits are lions, then 34/40 are lions.
-> 34/40 = 0.85
-> 0.85 * 100 = 85%
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
What is the value of x?
Enter your answer in the box.
Answer:
x = 25
Step-by-step explanation:
Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse of a right triangle
[tex]\implies 7^2+24^2=x^2[/tex]
[tex]\implies 49+576=x^2[/tex]
[tex]\implies 625=x^2[/tex]
[tex]\implies x=\sqrt{625}[/tex]
[tex]\implies x=\pm25[/tex]
[tex]\implies x = 25[/tex] only, as distance is positive
Use Pythagorean theorem
[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]
[tex]\\ \rm\longmapsto x^2=576+49[/tex]
[tex]\\ \rm\longmapsto x^2=625[/tex]
[tex]\\ \rm\longmapsto x=25[/tex]
Help math math math math
Answer:
y = - 4x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{x}{4}[/tex] - 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find c, substitute (4, - 1 ) into the partial equation
- 1 = - 16 + c ⇒ c = - 1 + 16 = 15
y = - 4x + 15 ← equation of perpendicular line
Answer:
y = - 4x + 15
Step-by-step explanation:
Pls help me as soon as possible
Answer:
Well your trying to find meters per second.
So it’s a unit rate question.
In order to find the unit rate you divide the original by the newest.
In this case it’s (c) or -4.9/.71
Answer:
can you complate this heart
help me plsssssssss on myquestion
Answer:
A) 110° and 109°
Step-by-step explanation:
Hope this helps.
HELP!! I need help on #5 and #6. I will give brainlist!!
Answer:
#5 more info is needed. #6 is a CD.
Step-by-step explanation:
#5 doesn't have the appropriate values given which in this case is how much money. #6 is most likely a CD because they tend to have bigger interest rates, unless if you needed to access it. If you needed to access this money, a savings account would most likely give you the best interest rates.
Someone help me plsss
Answer:
1 5/8
Step-by-step explanation:
Transform the expression
7/8 + 3/4
Write all numerators above the least common denominator 8
7+6/8 = 13/8 = 1 5/8
Please mark me as brainliest
Use Descartes rule to determine the possible number of positive and negative solutions for the polynomial: f(x)=10x^4-21x^2+11
Answer:
x = 11/2
Step-by-step explanation:
just go by each step
A study conducted several years ago reported that 24 percent of public accountants changed companies within 5 years. The American Institute of CPAs would like to update the study. They would like to estimate the population proportion of public accountants who changed companies within 5 years with a margin of error of 5% and a 95% level of confidence. (Use t Distribution Table & z Distribution Table.) (Round your z-value to 2 decimals. Round up your answers to the next whole number.)
Required:
a. To update this study, the files of how many public accountants should be studied?
b. How many public accountants should be contacted if no previous estimates of the population proportion are available?
Answer:
Here is your Answer
Step-by-step explanation:
Please mark me Brainliest
I really need help on this one
please and thank you.
Answer:
no
no
yes
yes
yes
Step-by-step explanation:
integers can only be whole numbers
just simplify to find out
a) not whole number
b) not whole number
c) whole number
d) 14/7 = 2; whole number
c) -12/2 = 6; whole number
a and b = NO
c, d, e = YES
Please a genius help me please
Answer:
D
Step-by-step explanation:
y=mx+b (line equation)
m=(y2-y1)/(x2-x1) (slope formula)
insert the coordonates
m=(6--6)/(1--3) find the slope
m=12/4m=3 after fiinding the slope you can substitute x and y and find b
y=3x+b
(1,6)
6=3*1+b
6=3+b
b=3
y=3x+3
What is the area of the shaded region?
............, .......
#14
Graph the quadrilateral with the given vertices in the coordinate plane.
A(0, 1), B(4, 4), C(12, 4), D(8, 1)
Answer:
Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.
Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.
Step-by-step explanation:
So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.
A 1 1/8
B 2 1/8
C 5 1/8
D 9 1/8
Answer: 91/8 I believe
Step-by-step explanation:
If f(x)=-3x +2, find
c) x if f(x) = 0.
Answer:
f(0)=2
Step-by-step explanation:
f(x)=-3x +2
f(0)=-3(0) +2
f(0)= 0 +2
f(0)=2
PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.
Answer:
A= 21
Step-by-step explanation:
a=19.5+1.5=21
21+2.9=23.9
2(21)-18.1
Lines AB and CD are congruent.
The area of a rectangle is 70cm² and it is 7m broad.
i)Find its length
ii)Find its perimeter.
Please help.
Answer:
soln
here,
area of a rectangle =70cm *
breadth = 7m
we know,
area (a)=l×b
70=l×7
70=7l
70÷7=l
10=l
therefore, itslength is 10m
again,
perimeter (p)=2(l+b)
=2(10+7)
=2×17
=34cm
therefore, its perimeter is 34cm.
pls I'm in need of urgent helpppppppp.
question (ii) is my main problem. pls help immediately you get this question. thanks in advance.
A committee of 4 people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if :
i) everyone is equally eligible
ii) the committee should include at least one woman.
Answer:
So your best bet is everyone is equally eligible although I dont really know wait for other answers
Step-by-step explanation:
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Answer:
21cm
Step-by-step explanation:
Solution,
Length of fish=40mm=40/10=4cm
Length of pig=25cm
Now,
Difference of their length=25cm-4cm=21cm
Hence,the pig is 21cm long than the fish
Suppose that X is the number of cars per minute that pass through a certain intersection, and that X has the poisson distribution. If the mean of X is equal to 9 cars, what is the variance of X
The variance of a distribution is the square of the standard deviation
The variance of the data is 9
How to determine the varianceThe given parameters are:
Mean = 9 cars
Distribution type = Poisson distribution
The variance and the mean of a Poisson distribution are equal.
So, we have:
Variance = 9 cars
Hence, the variance of the data is 9
Read more about variance at:
https://brainly.com/question/15858152
Please help: Determine the points at which the graph of the function has a horizontal tangent line.
[tex]\\ \tt\hookrightarrow f(x)=\dfrac{x^2}{x-6}[/tex]
Find inverse
[tex]\\ \tt\hookrightarrow y=\dfrac{x^2}{x-6}[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{x^2+6y}{y}[/tex]
[tex]\\ \tt\hookrightarrow f'(x)=\dfrac{x^2+6x}{x}=x+6[/tex]
Now
[tex]\\ \tt\hookrightarrow x+6=0\implies x=-6[/tex]
Find Horizontal tangency
[tex]\\ \tt\hookrightarrow f(6)=\dfrac{(-6)^2}{-6-6}[/tex]
[tex]\\ \tt\hookrightarrow f(6)=\dfrac{36}{-12}=-3[/tex]
So
(x,y) =(-6,-3)Help help math math math math
Answer:
y - 5 = -3(x + 3)
Step-by-step explanation:
A parallel line has the same slope but different y-intercept
So the slope of our line is -3
We also have our x1 and y1
So input that into the point-slope formula : y - y1 = m(x - x1)
y -y1 = m(x - x1)y - 5 = -3(x - (-3))y - 5 = -3(x + 3)The equation of the line is [tex]\boxed{\text{y - 5 = -3(x + 3)}}[/tex]
-Chetan K
Answer:
5 = -3(x + 3)
Step-by-step explanation:
i got it right
If A= (-4 -4 1) (1 4 7) (2 3 3) and B= (2 9 -9) (8 8 -2) (4 10 1), find -4A + 8B
Please help me! What is 1 1/2+1/6
Answer:
10/6
Step-by-step explanation:
1 1/2=3/2
3/2: We need it to be /6. Multiply 3 by the top and bottom. 9/6
9/6+1/6=10/6