Answer:
yes it does because men comes before women
1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
Next
Unit Pre Test
Submit Test
20
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
The equation of a line is 2[v+ 1) = 10x* 3.
The yuntercept of the line is
and the slope of the line is
Answer:gotta go sorry
Step-by-step explanation:
determine the equation of the circle graphed below.
( help me please )
Answer:
(x+5)²+(y-4)²=17
Step-by-step explanation:
I think it's safe to assume that the (-5,4) coordinate is in the center
To find the x and y coordinate just flip the signs
which means it would look like
(x+5)²+(y-4)²=?
the question mark is equal to the raidus squared
to find the radius use the distance formula
√((-4+5)²+(8-4)²)= 4.123106
square this to get 17
the final answer is then
(x+5)²+(y-4)²=17
What is the common solution for the equations y = 2x + 1 and y = x + 3?
Write your answer an ordered pair!
Answer:
y^2 = 2x^2+x = x(2x+1) = xy => y^2 = xy => either y=0 or x = y
If y=0 then from y-2x=1, x=-1/2
If X=y then from y-2x = -x = 1 => x=y=-1
Step-by-step explanation:
answer=1
Answer:
(2,5)
Step-by-step explanation:
This is the graph for both equations and the solution is where both lines cross each other.
Hope this helps
In the circle below, segment AB is a diameter. If the length of are ACB is 6pi what is the length of the radius of the circle?
Answer:
The radius is 6
Step-by-step explanation:
Arc length ACB = 6 pi
The arc length = fraction of a circle times the circumference
6 pi = 180/360 * 2 * pi *r
6 pi = 1/2 * 2 * pi*r
6 pi = pi r
The radius is 6
23. About how much would 4 horses weigh? Write the weight two different ways.
An average horse weighs 900-2,000 pounds, depending on size and breed. A lean, racing fit Thoroughbred, for example, has an average weight of 900-1,100 pounds, while the average Clydesdale (think Budweiser) weighs in at 1,800-2,000 pounds
Answer:
If one horse will weigh about 2000 pounds, or 1000kg, then four horses will weigh about 8000 pounds or 4000kg
Which are the solutions of the quadratic equation?
x² = 7x + 4
Answer:
[tex]x = \frac{7 + \sqrt{65}}{2} \ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = 7x + 4 \\\\x^2 - 7x - 4 = 0\\\\ a = 1 \ , \ b = - 7 , \ c \ = \ - 4 \\\\x = \frac{-b \pm \sqt{b^2 - 4ac }}{2a}\\\\Substitute \ the \ values : \\\\x = \frac{7 \pm \sqrt{7^2 - (4 \times 1 \times -4)}}{2 \times 1}\\\\x = \frac{7 \pm \sqrt{49 + 16}}{2 }\\\\x = \frac{7 \pm \sqrt{65}}{2 }\\\\x = \frac{7 + \sqrt{65}}{2}\ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
the sum of three consecutive even intergers is 30. what are the intergers?
Answer:
8, 10, 12
Step-by-step explanation:
3 consecutive even integers are 8, 10, 12
8 + 10 + 12 = 30.
Answer:
8, 10 ,12
Step-by-step explanation:
Let x be the first integer
x+2 is the second
x+4 is the third
The sum is 30
x+ x+2 + x+4 = 30
Combine like terms
3x+6 = 30
Subtract 6 from each side
3x+6 -6 =30-6
3x = 24
Divide by 6
3x/6 = 24/6
x = 8
x, x+2, x+4 is 8, 8+2, 8+4,
8, 10 ,12
Can someone please help me with this. ANYONE!
Answer:
Step-by-step explanation:
1 OF 3OR5
Which is greater, 2 miles or 1,000 yards? How much greater? Explain. Of 2 miles and 1,000 yards, _____ is greater. Since 2 miles is the same as _____ yards, _____ is __ yards greater than _____ .
Answer:
yards
Step-by-step explanation:
Answer:
Which is greater, 2 miles
1 mile = 1760 yards
2 miles = 2 * 1760
2 miles = 3,520 yards
How much greater?
3,520 - 1000 = 2520 yards
pls help me find the operations of 3a^2+4a^2+7a^2
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
Answer:
14 a²
Step-by-step explanation:
3a² + 4a² + 7a²
collect like terms
(3 + 4 + 7)a² .. ( factor out :- a²)
calculate the sum
14 a²
one dozen mangoes cost $120.00. what is the cost of 8 mangoes??
Answer:
$80.00
Step-by-step explanation:
12m = 120
m = 10
Therefore, 8m must equal 80.
Answer:
The cost of 8 mangos would be $80.00
Step-by-step explanation:
A dozen is equal to 12 so its 10 bucks per mango since there are 12 mangos
Please help me
The question is write the question for the table given.
The multiple choices are
Y=1/3x
Y=1/2x
Y=3x
Y=2x
Answer:
The answer is Y=3x
when x is 0, y is 0
y=3x
Y= 3 X 0 = 0 (correct)
when x is 1, y is 3
y=3x
y=3 X 1= 3 (correct)
when x is 2 , y is 6
y=3x
y= 3 X 2= 6 (correct)
when x is 3, y is 9
y=3x
y= 3 X 3= 9 (correct)
when x is 4, y is 12
y=3x
y= 3 X 4= 12 ( Correct)
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
D. 3x + 1
Step-by-step explanation:
Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15
Answer:
last one
Step-by-step explanation:
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects
Total
Adults
6
44
50
Children
20
30
50
Total
26
74
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.
Answer:
the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest
Step-by-step explanation:
The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.
Total number of people tested = 100
Number adults = 50
Number of adults who got side effects = 6
Probability that the adult got side effects = 6/50 = 0.12
Number of children = 50
Number of children who got side effects = 20
Probability that the children got side effects = 20/50 = 0.40
Here, it is clear that probability that the children got side effects is greater than that adult got side effects.
So, Children have a much higher chance of having side effects than adults.
Learn more about Probability here :
https://brainly.com/question/29864422
#SPJ7
On a clear day you can see about 27 miles from the observation deck of the
Empire State Building in New York City. Using the formula below, estimate the
height in feet, h, of the observation deck. The distance, d, is in miles, and the
height, h, is in feet.
dava
A. 4.3 miles
B. 506 feet
C. 875 feet
D. 1050 feet
A sphere has a diameter of 32 ft. What is its surface area?
The surface area of the sphere is
ft?. (Type an exact answer in terms of t.)
Step-by-step explanation:
the answer is in the above image
======================================================
Explanation:
The diameter 32 cuts in half to 16, which is the radius. So r = 16.
Use this to find the surface area of the sphere in the formula below
SA = 4*pi*r^2
SA = 4*pi*16^2
SA = (4*16^2)*pi
SA = 1024pi
This is the exact surface area in terms of pi.
The area units are in square feet, or ft^2 for short.
At the beginning of the year, the local aquarium has 2,000 fish. Since then, the population has grown by 5% each month.
Which expressions represent the number of fish, in thousands, in the aquarium 3 years later if the population continues growing at this rate?
They are multiple choice
Answer: The third one
Hihi , please help if able.
Answer:
9(9m + 3t) = 81m + 27t
Step-by-step explanation:
With brackets with more than one term inside multiplied by a number;
The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;
So, in this case, the number 9 must be multiplied by each term inside the brackets:
9 × 9m = 81m
9 × 3t = 27t
So to expand, opening the brackets, you get:
81m + 27t
Answer plsssss………………
Answer:
The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.
Two lines are parallel if, at any point, the distance between these two lines is always the same.
Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)
Thus, these lines are not parallel.
Then the corresponding angles theorem can not be used here, and we have that:
∠9 ≠ ∠10
What is the mass of an object that has an acceleration of 55 m/s^{2} when a net force of 20 N is applied? (round to the nearest tenth)
can someone walk me through this
3 = -2 |.25s - 5| +3
Answer:
s = 20
Step-by-step explanation:
Given
3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )
0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )
0 = | 0.25s - 5 | , then
0.25s - 5 = 0 ( add 5 to both sides )
0.25s = 5 ( divide both sides by 0.25 )
s = 20
Answer: S=20
Step-by-step explanation:
Data: 3=-2(0.25s-5)+3
S=?
Step one, Multiply .25s and -5 by -2
-2x0.25s=-0.50s
-2x-5=10
Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10
Step two, add like terms
3=-.50s+10+3=3=-.50s+13
Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.
Step three, subtract 13 on both sides
3-13=-.50s+13-13
-10=-.50s
Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.
Step four, divide -.50 on both sides
-10/-.50=-.50s/-.50
S=20
Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S
That's how you get the answer
I hope this helps!
I need help on this question, URGENT so please help asap
Answer: D is correct since the two angles are vertical angles and can be proven congruent by the vertical angle theorem
Step-by-step explanation:
Which sign makes the statement true?
5.01 x 10-3 ? 0.00105
Answer:
47.1 > .00105
Step-by-step explanation:
Given :
5.01×10-3 ? 0.00105
Now,
5.01×10-3 ? 0.00105
50.1-3?0.00105
47.1?0.00105
From the above equation, we can say that 47.1 is greater than 0.00105
Therefore, 47.1 > .00105
The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.
Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
Help please no links
Answer:
D
Step-by-step explanation:
The question states you need a square. That means whatever you do, must leave a square number like 49 or 64
If you add 6 or 7 to 56 you do not get 64 A and C are both wrong.
If you subtract 7 from 56 you get 49 which is a perfect square and all 4 sides will equal 7.
I need the answers and it's due today, please help
Answer:
1. 3
2. 1
3. 2
4. 4
5. 5
Step-by-step explanation: