The solution of the given expression (x − 2)(x 10) = 13 are x=3 or x=-11. So the option A is correct.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
(x-2)(x+10) = 13
Subtract 13 from both sides
x²+8x-20-13=13-13
x²+8x-33=0
Factorized
(x-3)(x+11)=0
x-3=0 or x+11= 0
x=3 or x=-11
Thus, The answer is A
Learn more about quadratic equations;
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Answer:
A) 3
Step-by-step explanation:
Which set of three side lengths will not from a triangle
A 17, 12, 6 C 36, 14, 27
B 25, 38, 13 D 39, 44, 6
Answer:
5tv. 9. v. 9. 9. o. o. o o. o. 9.
Can someone pleas help???????
Answer:
written all the angles below:
m<1 = 35°
m<2 = 77°
m<3 = 49°
m<4 = 77°
m <5 = 62°
m<6 = 28°
hope that helps...
help me please please
Answer:
5 units down, two to the left. Therefore, x+-2, y+-5
Step-by-step explanation:
The circumference of a circular field is 166.42 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Answer:
52.98
Step-by-step explanation:
See attached image to find radius
diamater = Radius * 2
26.49 Yards * 2 = 52.98
y+4=-12/7(x-1) in standard form
Answer: y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
Step-by-step explanation:
Standard form is Ay + Bx = C,
Given:
y+4=-12/7(x-1)
Rewrite:
y + 4 = [tex]\frac{-12}{7}[/tex](x - 1)
Distribute:
y + 4 = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex]
Subtract 4 from both sides:
y = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex] - 4
Add [tex]\frac{12}{7}[/tex]x to both sides:
y + [tex]\frac{12}{7}[/tex]x = + [tex]\frac{12}{7}[/tex] - 4
Combine like terms:
y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
100 Points!! 0_0
Solve and check for extraneous solutions.
5(3x+1)^1/2=10
Please SHow Steps!!! WIll give the brainiest!!
[tex]5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1[/tex]
Answer:
x = 1
Step-by-step explanation:
Given equation:
[tex]\dfrac{5(3x+1)^1}{2} =10[/tex]
If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".
[tex]:\implies\dfrac{5(3x+1)}{2} =10[/tex]
Simplify the distributive property:
[tex]:\implies\dfrac{15x+5}{2} =10[/tex]
Using cross multiplication:
[tex]:\implies15x+5} =10 \times 2[/tex]
Simplify the R.H.S:
[tex]:\implies15x+5} =20[/tex]
Subtract 5 both sides:
[tex]:\implies15x+5 - 5} =20 - 5[/tex]
Simplify both sides:
[tex]:\implies15x} =15[/tex]
Divide 15 both sides:
[tex]:\implies\dfrac{15x}{15} } =\dfrac{15}{15}[/tex]
Simplify both sides:
[tex]:\implies x= 1[/tex]
equation of circle: mastery test HELPPPP PLS !!
PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;
[tex]o = \frac{pq}{2} \\ [/tex]
[tex]pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]
[tex]o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ [/tex]
[tex]o = \frac{( - 10 +6 ,10 - 2)}{2} \\ [/tex]
[tex]o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ [/tex]
[tex]o = ( - 2,4)[/tex]
For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :
_____________________________________________
As u know the distance between 2 point is going to find by following formula :
[tex]pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ [/tex]
[tex]pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]
[tex]pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } [/tex]
[tex]pq = \sqrt{256 + 144} [/tex]
[tex]pq = \sqrt{400} [/tex]
[tex]pq = 20[/tex]
Thus :
[tex]radius = \frac{pq}{2} \\ [/tex]
[tex]radius = \frac{20}{2} \\ [/tex]
[tex]radius = 10[/tex]
_____________________________________________
Ok we're almost done cuz we have what we needed:
If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :
[tex] ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} [/tex]
Is the equation of the circle in the standar form thus :
[tex] ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ [/tex]
[tex] ({x + 2})^{2} + ({y - 4})^{2} = 100[/tex]
As u can see option B is the correct answer.
And we're done ...
Have a great day ♡♡♡♡♡Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.
How much did each ticket cost?
Write your answer as an expression
Answer:
324/x
khan let me know
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x. which group of individuals would be the best choice for a random sample? ask every fourth person on the street ask every fourth person who is wearing that brand of sneaker ask every fourth employee from the brand x flagship store ask every fourth person who is wearing shoes
The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.
We have,
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.
We have to determine which group of individuals would be the best choice for a random sample.
What is the simple random sampling?
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen
One of the best methods in random sampling is called quartering.
In quartering, the population is divided into 4 quadrants and the
the sample is obtained on one of the quadrants obtained.
In this case, the procedure to do is:
To ask every fourth person who is wearing that brand of sneaker.
Therefore option A is correct.
To learn more about the sampling visit:
https://brainly.com/question/12892403
Answer:
It's b
Step-by-step explanation:
Took it on edge 2022
A standard die is rolled and a coin is tossed. What is the probability that the cube shows a 3 and the coin is tails ?
Answer:
1/12
Step-by-step explanation:
The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.
Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.
The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.
⅙×½=1/12
Find the area of the figure
Step-by-step explanation:
there is one central rectangle :
from (-4, 2) to (2, -2).
that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).
and then there are 3 additional triangles
(2, -4) (2, 2) (6, 2)
(-4, -2) (2, -2) (2, -4)
(-6, 2) (-4, 2) (-4, -2)
with the leg lengths
(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4
(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2
(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4
the area of the rectangle is
6×4 = 24 square units
the area of the first triangle is
6×4/2 = 3×4 = 12 square units
the area of the second triangle is
6×2/2 = 6 square units
the area of the third triangle is
2×4 = 8 square units.
so, the total area is
24 + 12 + 6 + 8 = 50 square units.
5 x ( 3 + h ) = 15 + 45
Answer:
h=9
Step-by-step explanation:
I did this one and it was right for pre- algebra,
Solve the following equation using distribution. 1 2 (4x − 12) = 5 ( 1 2 ) (4x) − ( 1 2 ) (12) = 5 2x − 6 = 5 +6 +6 2x = 11 What is the value of x? 5.5 9 11.5 13
Answer:
5.5
Step-by-step explanation:
Answer: IT IS 5.5I DID THE TEST
Step-by-step explanation:
Algebra II | Progressions
It’d be very much appreciated if someone could a.) solve this for me, and b.) kindfully explain how to get the correct answer in simple terms. It looks easy, but the lesson isn’t making it make sense. Thank you! :)
Answer:
Option 1
Step-by-step explanation:
Substiute the value of n with 1 to 6 and find each term.
When n = 1 ,
[tex]\sf First \ term = \dfrac{1}{2*1+1}=\dfrac{1}{2+1}=\dfrac{1}{3}\\\\[/tex]
[tex]\sf When n = 2,\\\\Second \ term = \dfrac{2}{2*2+1}=\dfrac{2}{4+1}=\dfrac{2}{5}\\\\[/tex]
When n = 3 ,
[tex]\sf Third \ term = \dfrac{3}{2*3+1}=\dfrac{3}{6+1}=\dfrac{3}{7}[/tex]
When n = 4,
[tex]\sf Fourth \ term =\dfrac{4}{2*4+1}=\dfrac{4}{8+1}=\dfrac{4}{9}\\[/tex]
When n = 5 ,
[tex]\sf Fifth \ term = \dfrac{5}{2*5+1}=\dfrac{5}{10+1}=\dfrac{5}{11}\\\\When \ n = 6,\\\\ \: Sixth \ term =\dfrac{6}{6*2+1}=\dfrac{6}{12+1}=\dfrac{6}{13}[/tex]
[tex]Answer: \dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{4}{9}+\dfrac{5}{11}+\dfrac{6}{13}[/tex]
Complete the work to find the dimensions of the rectangle. w(2w 4) = 240 2w2 4w = 240 2w2 4w – 240 = 0 2(w 12)(w – 10) = 0 what is the width of the rectangle? what is the length of the rectangle?
Answer:
10 units wide; 24 units long
Step-by-step explanation:
The width is represented by the variable w in the given equation ...
w(2w +4) = 240
__
This is conveniently divided by 2. Writing in standard form lets us see potential factoring.
w(w +2) = 120
w² +2w -120 = 0
(w +12)(w -10) = 0 . . . . . . factor
w = -12 or w = 10 . . . . . width
2w+4 = 2(10) +4 = 24 . . . length
The positive solution to this equation is the one of interest here.
The width of the rectangle is 10 units; its length is 24 units.
What is the value of χ2 for the two-way table?
A B C D
X 5 10 15 20
Y 7 13 17 21
(2 points)
0.5320
0.0801
1.08
0.2830
0.9632
Answer:
0.2830
Step-by-step explanation:
Observed Values
Add totals for the rows and columns to the two-way table (see attachment 1).
Expected Values
Create an "Expected Values" table by multiplying each row total by each column total and dividing by the overall total (see attachment 2).
Chi-square test statistic
[tex]\sf \dfrac{(observed-expected)^2}{expected}[/tex]
Create a third table by using the formula to calculate the chi-square test statistic for each cell of the table (see attachments 3 and 4)
Chi-square
Add the values from the table in attachment 4.
[tex]\sf X^2=0.05556+0.03945+0.002315+0.05465+0.04789+0.03401+0.001996+0.04711[/tex] [tex]\implies \sf X^2=0.2830 \:(4 \:sf)[/tex]
PLS HELP!!!! No links pls and Ty<3333
Answer:
The Circumference is 150.7 inches
Step-by-step explanation:
The cricumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
We are given the radius and are given 3.14 for pi.
Substituting these values into the euation gives us:
C = 2(3.14)(24)
C = (6.28)×(24) = 150.72
The Circumference is 150.7 inches to the nearest tenth.
All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By what factor were the dimensions of the pentagon multiplied?
12. 5
625
5
50
Answer:
625
Step-by-step explanation:
I just did this question
find the absolute value of -5/8
Answer:
5/8
Step-by-step explanation:
To find the absolute value you simply remove the negative symbol
What is the value of the expression below if C = 5 and d = 7? A. 65 B.315 c. 15 d. -7
Answer:
Step-by-step explanation:
=2(5)^2 - 5(7)
= 2(25) - 35
= 50 - 35
= 15
100 Points!!! WILL MARK BRAINLIEST!!!
Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks. (4 points)
Part B: What are the units of measurement for the composite function in Part A? (2 points)
Part C: Evaluate the composite function in Part A for 36 weeks. (4 points)
Answer:
A) [tex]f(w)=45w+35[/tex]
B) f(w) is the total number of flowers that bloomed
w is the number of weeks
C) 1655 flowers
Step-by-step explanation:
Part A
[tex]f(s) = 3s + 35[/tex]
[tex]s(w) = 15w[/tex]
To create the composite function, replace the variable [tex]s[/tex] in the function f(s) with function s(w):
[tex]\implies f(w)=3(15w)+35[/tex]
[tex]\implies f(w)=45w+35[/tex]
Part B
f(w) is the total number of flowers that bloomedw is the number of weeksPart C
Substitute w = 36 into the compositie function and solve:
[tex]\implies f(36)=45(36)+35=1655[/tex]
What is the value of the expression 16 + 56/n when n = 8?
Answer:
23
Step-by-step explanation:
[tex]16 + \frac{56}{n} [/tex]
[tex]where \: n = 8[/tex]
[tex]16 + \frac{56}{8} [/tex]
[tex]23[/tex]
[tex]56 / 8 = 7[/tex]
Add second[tex]7 + 16 = 23[/tex]
With that information, your answer is twenty-three.
HELP NOW! RIGHT ANSWER=BRAINLIEST
EXCUSE NAIL POLISH!!!!
Answer:
60
Step-by-step explanation:
6% of 250 = 15 = 250 * 0.06
30% of 250 = 75 = 250 * 0.7
75-15=60
Answer:
60
Step-by-step explanation:
Lane loads his stuck with 3 tons of bricks. How many pounds of bricks does he have
Dividing by 1/2 means you are finding how many halves are in the dividend
to multiply it by 2 because two is the dividend and that is closest to 1
4-5 practice proving right triangles congruent worksheet 1-7
Step-by-step explanation:
1. mzoGE = M2GOE
1. Given
2. GE = OE
2.
3. E is the midpoint of AT
3. Given
4. AE ET
4. Definition of the midpoint of a line segment.
5. AE = ET
5. Congruent segments have equal length.
6. MLAEG > MZTEO
6. Given
7. AG > TO
HELPPP write an inequality that represents the graph
Answer:
ummm sorrry , can you give a btter stable question?
Step-by-step explanation:
please teach me how to do this
Answer:
16.4
Step-by-step explanation:
x = radius
x = 8.7 + 7.7
x = 16.4
What is the exact circumference of a circle with a radius of 17 mm?
•
8.5T mm
O
177 mm
O 347 mm
O
687 mm
Answer:
[tex]34\pi[/tex]
Step-by-step explanation:
Given,
r = 17 mm
→ Circumference =
[tex]2\pi \: r[/tex]
→ 2x3.14x17
→ 34x3.14 =
[tex]34\pi[/tex]
↓
c = 106.76 mm
Need Help In The Fundamental Counting Principle
Answer:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.
Step-by-step explanation: