Answer:
x =± 4
Step-by-step explanation:
Solve for x:
x^2 - 16 = 0
The left hand side factors into a product with two terms:
(x - 4) (x + 4) = 0
Split into two equations:
x - 4 = 0 or x + 4 = 0
Add 4 to both sides:
x = 4 or x + 4 = 0
Subtract 4 from both sides:
Answer: x =± 4
Answer: (x + 3) / (x - 2)(x - 3)(x - 4)
Step-by-step explanation:
The problem given can be viewed as
a/b over c/d
where a/b is the top fraction and c/d is the bottom fraction.
This can be rearranged to
a × d / b × c
So, you will have:
(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)
Now, factor the two bottom polynomials so you end up with:
(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)
Cancel the (x + 4) on the top and bottom so you’re left with the answer:
(x + 3) / (x - 2)(x - 3)(x - 4)
If you need to find the solutions to x, set the denominator equal to zero.
x = 2
x = 3
x = 4
The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?
Answer:
The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.
Step-by-step explanation:
From the bar chart, we can see that 100 goats were present at fair X and Y
Let us now calculate the percentage of goats at each fair:
Fair X = 100/645 * 100 = 15.5%
Fair Y =100/590 *100 = 16.9 %
Hence there was a greater percentage of goats at fair Y than at fair X.
The bar chart is missing and so i have attached it.
Also, the question is incomplete and the missing part of the question is;
Which of the following statements is supported by the bar chart?
a) The total number of cows, pigs, and horses combined is less at fair X than at fair Y.
b) Fair X has at least 20 more chickens than fair Y.
c) At fair X, the number of sheep is twice the number of horses.
d) The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.
e) The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.
The only Statement that supports the bar chart is statement E.
A) Looking at the bar chart attached, we can see that;At fair X: Cows = 50, Pigs =60, Horses = 80. Total = 50 + 60 + 80 = 190
At fair Y: Cows = 60, Pigs = 80, Horses = 40. Total = 60 + 80 + 40 = 180
Total in fair X is greater than total in fair Y. Therefore statement in question is false.
B) From the bar chart;At fair X; chickens = 90
At fair Y; chickens = 80
Difference = 90 - 80 = 10
Thus,statement in question is wrong.
C) At fair X;Sheeps = 140
Horses = 80
Twice number of horses is not same as sheep. Thus, statement in question is wrong.
D) Total number of animals at fair Y = 60 + 80 + 40 + 80 + 100 + 90 + 140 = 590Percentage that are goats = 100/590 × 100 = 16.95%
Total number of animals at fair X = 50 + 60 + 80 + 90 + 100 + 125 + 140 = 645
Percentage that are goats = 100/645 × 100 = 15.5%
The percentages are not equal and so the statement in the question is wrong.
E) True because from D above percentage that are goats at fair Y are more than the percentage that are goats at fair X.for f(x)=3x+1 and g(x)=x²-6, find (fog)(4).
Answer:
The answer is 31 hope this helps
please help! :0
Which of the following is not a characteristic of a point?
A. Flat surface
B. Named using a capital letter
C. No depth or width
D. Undefined term
Answer:
D. Undefined term
Step-by-step explanation:
Points are flat surfaces, named using a capital letter, and have no depth or width because they are on a FLAT plane. Just like lines are named "line A", are on a flat surface, and have no depth or width, points also share these characteristics because they are all on a plane. However, a point is not an undefined term, it is a defined term.
A point is a geometric feature used for the definition of geometric objects
The option which is not a characteristic of a point is option A:
A. Flat surface
The reason for the above selection is as follows:
A point in Euclidean geometry is a concept that defines an exact spatial location
The characteristics of a point are:
A point only represents position, it has no dimensions; It does not have a thickness, width, or lengthThe explanation given of a point is made by use of descriptions or examples and therefore, a point is considered an undefined termA point can be denoted or named using capital letters and represented using dotsA flat surface is defined by three noncolinear points
Therefore;
The given option which is not a characteristic of a point is therefore option A. Flat surface
Research more about the characteristics of points here:
https://brainly.com/question/4700224
https://brainly.com/question/2751182
please answer 12.) quick ! :(
Answer:
A: $48.53
B: $58.23
Step-by-step explanation:
7% of 45.36 is 3.17.
20% of 48.53 is 9.70.
correct me if i'm wrong. hope this helps. :)
Pls help me by answering these :(
Answer:
1) 21
2a) -23/30
2b) 6/55
Step-by-step explanation:
1) 3(x + 2) + 5x + 7
expand the brackets:
= 3x + 6 + 5x + 7
collect like terms:
= 8x + 13
when x = 1, (just substitute 1 for x)
8(1) + 13
= 8 + 13
= 21
2a)
-9/10 + 2/15
put both fractions on the same denominator (often we can just multiply each denominator by the other one):
so -9/10 * 15/15
= -135/150
and 2/15 * 10/10
= 20/150
now they're both on the same denominator and we can add the numerators:
-135 + 20 = -115
so our answer is:
-115/150
which we can simplify to:
-23/30
2b)
3/11*2/5
Multiplying fractions is very simple, as it doesn't require to have the same denominators. We can just multiply the numerators by each other and same for the denominators:
3*2 = 6
11*5 = 55
therefore, our answer is:
6/55
A)
3(x+2) + 5x + 7
3x + 6 + 5x + 7
3x + 5x + 6 + 7
put x = 1
3(1) + 5(1) + 6 + 7
3 + 5 + 6 + 7
21
B)
a)
[tex]\sf \rightarrow -\dfrac{9}{10} + \dfrac{2}{15}[/tex]
[tex]\sf \rightarrow -\dfrac{9(15)}{150} + \dfrac{2(10)}{150}[/tex]
[tex]\sf \rightarrow -\dfrac{135}{150} + \dfrac{20}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-135+20}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-115}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-23}{30}[/tex]
b)
[tex]\sf \rightarrow \dfrac{3}{11} \ * \ \dfrac{2}{5}[/tex]
[tex]\sf \rightarrow \dfrac{3*2}{11 *5}[/tex]
[tex]\sf \rightarrow \dfrac{6}{55}[/tex]
Renee is walking to a store that is 2. 5 kilometers from her house. After 700 meters, she stops at her friend’s house
What is the distance that Renee will walk from her friend’s house to the store?
Because she stopped at her friend's house on the way to the store, it can be seen that there is no detour. This means that the distance between her friend's house to the store is a subtraction problem
2.5 km - 700m=2500m-700m=1800m or 1.8km
I hope this helps fell free to ask any questions about this explanation.
The value of x in the given proportion is:
x/9= 9/3
(those are fractions)
A 12
B 15
C 45
D None of these choices are correct.
can someone please help me??
Answer:
D None of these choices are correct.
Step-by-step explanation:
The value of x is 27.
[tex]\frac{x}{9} = \frac{9}{3}[/tex], x = 9 x [tex]\frac{9}{3}[/tex] = 27
Find the combined volume of the figure
answer:
12 x 4 = 4 you have to multiply and divide and do math and geometry and to be honest i have no idea what i doing but just pretend like this the answer
The square root of 250a^2 plus the square root of 10a^2 is?
I really need help quickly.
Thank you!!
If the value of "y" varies directly with "x"
and y =-8 when x=4.
Find "y" when x =-4.
Please show work if you want a brainiest!!
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \qquad \textit{we also know that} \begin{cases} y=-8\\ x = 4 \end{cases}\implies -8=k(4) \\\\\\ \cfrac{-8}{4}=k\implies -2=k ~\hfill therefore~\hspace{10em}\boxed{y=-2x} \\\\\\ \textit{when x = -4 what is "y"?}\qquad y=-2(-4)\implies y=8[/tex]
Answer:
y=8
Step-by-step explanation:
I didn't need a equation if they vary directly with each other then if the sign switches from 4 to -4 then -8 must have switched to 8
16. Rihanna is the founder and CEO of Fenty Beauty on the release day of her new product,
Flyliner Longwear Liquid Eyeliner, she sold 400 eyeliners
and averaged 50 eyeliner sales
per day after that.
Which equation models the number of Flyliner Eyeliners, f, did Rihanna sell after d days.
A. f = 400 + 50d
B. f = 50 + 400d
C. d = 50 + 400f
D. d = 400 + 50f
Answer:
A. f = 400 + 50d
Step-by-step explanation:
First, let's understand each quantity/variable.
d: The variable, d, represents the number of days.f: f represents the total amount of eyeliners sold after each day.400 eyelines sold: This means that Rihanna sold 400 eyeliners on the first day of the release of her liquid eyeliner. This is known as the y-intercept.50 eyeliner sales per day: This means that after her first day, Rihanna sold 50 eyeliners each day. This can be represented as 50d.Now that we understand these variables, we can conclude that the equation would be A. f = 400 + 50d because to find the total, we have to add the 400 eyeliners sold at the beginning to the 50 eyeliner sales per day.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The diameter of a cylinder is 8cm and the height is 2. What is the Volume? (NOTE: V=r2h)
Step-by-step explanation:
diameter= 8
radius=diameter/2
=8/2
=4
height=2
Volume =r2h
=4*2*2
=16
therefore the volume of the cylinder is 16 cm^3
hope it helps u
pls mark it as the brainliest
The product of -6 and a number
Answer:
-6x
Step-by-step explanation:
This is correct because an unknown product is always classified as a variable or a most common used one, X. The product of -6 with an uknown variable, also known as a number, is -6x. Hope this helped and have a Great Day!!!
Help on this? thanks (:
Answer:
D
Step-by-step explanation:
24-6 = 18 32-6x3=18
Hope this helped!
Answer:
the answer is D. 6 bottles
y = 2(z - 6)? – 1
graph the equation
A chemistry experiment requires 825.00 grams of sucrose and you have
30.00 ounces available, is there enough? (28 grams = 1 ounce)
Mathematically show your answer, no credit will be giving for just writing
yes or no.*
Answer:
yes
Step-by-step explanation:
you first need to convert the 825 grams to about 29.46 ounces if you round to the hundredths place (825/28) then you can see that 30>29.46 so you will have a bit extra sucrose after doing the expirement
Which ratios are equivalent? PLEASE EXPLAIN :D
A) 6/8, 2/3
B) 1/5, 12/15
C) 9/12, 3/4
D) 10/12, 5/7
Answer:
C) 9/12, 3/4
Step-by-step explanation:
To find which ratios are equivalent, we have to simplify them.
A)
6 and 8 have a GCF of 2, so 6/2 = 3, and 8/2 = 4. We do not get 3/4 as the fraction- we get 2/3. Thus, this cannot be the correct answer.B)
The GCF of 12 and 15 is 3, so 12/3 = 4, and 15/3 = 5. We do not get 4/5 as the fraction- we get 1/5. Thus, this cannot be the correct answer.C)
The GCF of 9 and 12 is 3, so 9/3 = 3, and the 12/3 = 4. We get the fraction as 3/4, which 3/4 = 3/4Therefore, the answer is C).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
please help! Find the value of the convergent series:
Answer:
2.25
Step-by-step explanation:
Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.
We can also represent this as a summation series of
[tex]Σ3( - \frac{1}{3} ) {}^{n - 1} [/tex]
Since we can represent this a summation series, we can use that convergent value is equal to
[tex] \frac{a _{1} }{1 - r} [/tex]
where a1 is initial term and r is common ratio.
R is -1/3
A1 is 3.
[tex] \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25[/tex]
So the answer is 2.25
Asking again: Select the correct statements
Using the BOX PLOT above, what is the Upper Quartile?
Answer:
Upper Quartile is 16 according to the diagram.
I’ll give likes , rates , and Brainly for helping please help !
Answer: C
Step-by-step explanation:
Answer:
B. SSA
Step-by-step explanation:
Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruent.Because we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.
I hope this helps!
Is this angle supplementary or congruent? Please help.
Answer:
supplementary
Step-by-step explanation:
we have,
3x+15+2x=180
=> 5x +15 = 180
=> 5x = 180-15
=> 5x = 165
=> x = 165/5
=> x= 33
so, 3x+15 = 3*33+15
=> 99+15
=>114
2x = 2*33
=> 99
now we can check if these angles are supplementary
114 + 99 = 180
so, they are supplementary
Find the values of the variables for the parallelogram.
mZ1 = 5y – 20
X=
Y=
Z=
Answer:
Step-by-step explanation:
can some one help plz
Answer:
i believe its 8 to 12 im not exactly sure of my answer
Step-by-step explanation:
If guy walks from his house to school
and back how far does he walk?
Answer: Depends how long he's in school and how far away it is from his house.
Step-by-step explanation:
what is 244 + 6
pls give me relevent answer
Answer: 1
4
244+6=300 [its a simple addition right?] 3
brainliest? J
E
N
<3 :)
Find the length of the third side. If necessary, round to the nearest tenth. 6 5
Answer:
7.81
Step-by-step explanation:
Pythagorean theorem
[tex]\sqrt{6^{2} +5^{2} }[/tex]
[tex]\sqrt{61}[/tex]= 7.81
c = 7.81
Law of Cosines
[tex]c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }[/tex]
[tex]c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }[/tex]
c = 7.81
Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 1.79 − 0.67 = ___.
Answer:
1.10
Step-by-step explanation:
1.79
0.67
1.12 rounded is 1.10 to the nearest tenth
Please 40 points and will mark as a brainlest
Answer:
If it is raining, then soccer practice is cancelled
If soccer practice is cancelled, then you can go to the mall
Step-by-step explanation:
p then q
q then r
p, r
b. The quotient of f and the quantity of g increased by 11
Answer:
[tex]\cfrac{f}{g+11}[/tex]Step-by-step explanation:
We are looking for a fraction with the numerator f and denominator g + 11.
This is:
[tex]\cfrac{f}{g+11}[/tex]