HURRY!!!
What is the extraneous solution to the equation (sqrt 2p+1) +2sqrt p = 12
Op=-4
O p= -2
O p = 0
Op=4
Answers
Answer:
c
Step-by-step explanation:
The extraneous solution to the given equation √(2p+1) + 2√p = 1 is x = 4.
What is an extraneous solution of an equation?"An extraneous solution is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem."
Given equation is:
√(2p+1) + 2√p = 1
⇒ √(2p+1) = 1 - 2√p
⇒ (√(2p+1))² = (1 - 2√p)²
⇒ (2p + 1) = 1 - 4√p + 4p
⇒ 2p + 1 - 1 - 4p = - 4√p
⇒ -2p = - 4√p
⇒ p = 2√p
⇒ p² = 4p
⇒ p² - 4p = 0
⇒ p(p - 4) = 0
⇒ p = 0, 4
Now, putting the values of 'p' in the given equation, we get:
√(2p+1) + 2√p
= √(2 × 4+1) + 2√4
= √9 + 4
= 3 + 4 (if we take the positive sign only)
= 7
Therefore, p = 4 doesn't satisfy the given equation.
Therefore, p = 4 is the extraneous solution to the equation.
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Related Questions
Add: x^2+6x+2/5x+15 + x+10/5x+15 1. Rewrite the expression as a single fraction
2. Combine like terms
3.Simplify
Answers
Answer:
the simplified expression is [tex]\frac{x+4}{5}[/tex]
Step-by-step explanation:
Given;
[tex]\frac{x^2 + 6x + 2}{5x + 15} + \frac{x+ 10}{5x+ 15}[/tex]
1. Rewrite the expression as a single fraction as follows;
[tex]\frac{x^2 + 6x + 2}{5x + 15} + \frac{x+ 10}{5x+ 15} = \frac{x^2 + 6x + 2 \ + \ {x+ 10} }{5x + 15} = \frac{x^2 + 7x + 12}{5x + 15}[/tex]
2. By combining like terms we had [tex]\frac{x^2 + 7x + 12}{5x + 15}[/tex]
3. The expression is simplified as follows;
Factorize the numerator and denominator;
[tex]\frac{x^2 + 7x + 12}{5x + 15} = \frac{x^2 + 3x + 4x + 12}{5(x + 3)} = \frac{x(x + 3) + 4(x + 3)}{5(x + 3)} = \frac{(x + 3)(x + 4)}{5(x + 3)} = \frac{x + 4}{5}[/tex]
Therefore, the simplified expression is [tex]\frac{x+4}{5}[/tex]
Answer:
(x+4)/5
Step-by-step explanation:
In a city in Ohio, the sales tax rate is 7.25%. What is the TOTAL price after tax for a pillow that has a price before tax of $8.00?
Answers
Answer:
tax is .58
for the pillow so
8.58
Busby County is rectangular. A map of the county on a coordinate plane shows the vertices of the county
at A(-4, 6), B (6,6), C (6,-9), and Di-4,-9). Each unit on the map represents 1 mile.
What is the county's perimeter?
Answers
Answer:
The county's perimeter is of 50 miles.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle, with length l and width w, is given by:
[tex]P = 2(l + w)[/tex]
Length:
Segments AB and CD.
The length is 6 - (-4) = 6 + 4 = 10 units = 10 miles.
Width:
Segments BC and AD.
The length is 6 - (-9) = 6 + 9 = 15 units = 15 miles.
Perimeter:
[tex]P = 2(10 + 15) = 2(25) = 50[/tex]
The county's perimeter is of 50 miles.
Which inequality is a true statement?
Select each correct answer.
−3>−1
−3≤−1
−3=−1
−3≥−1
−3<−1
Answers
Answer:
b and e please give brain THX hope this helps
Step-by-step explanation:
80 people attended a meeting. There was x men and x women and the rest were children. How many children attended the meeting
Answers
Answer:
[tex]Children = 80 - 2x[/tex]
Step-by-step explanation:
Given
[tex]Total = 80[/tex]
[tex]Men = x[/tex]
[tex]Women = x[/tex]
Required
Determine the number of children
This is calculated using:
[tex]Total = Men + Women + Children[/tex]
Substitute values for Total, Men and Women
[tex]80 = x + x+ Children[/tex]
[tex]80 = 2x + Children[/tex]
Subtract 2x from both sides
[tex]80 - 2x = 2x -2x + Children[/tex]
[tex]80 - 2x = Children[/tex]
[tex]Children = 80 - 2x[/tex]
Point B lies between A and C. If AB = 15 units and AC = 50 units, what is the length of BC?
Answers
Answer:
BC = 35 units
Step-by-step explanation:
fjtcjcuttiftfitcurcuruchrxruxfxurdurux
Which table represents a linear function?
Answers
a tvs original cost is $500 if a store wants to set the price using a markup of 10% what will the price be?
Answers
Answer:
550
Step-by-step explanation:
10% of 500 = 50
500+50=550
The price is 550
Given that,
The cost of the tvs is $500And, there is the markup of 10%.calculation:= 500 + (10% of 500)
= 500 + 50
= 550
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Brian invests £13400 into his bank account.
He receives 6.5% per year simple interest.
How much will Brian have after 5 years?
Answers
9514 1404 393
Answer:
£17,755
Step-by-step explanation:
The formula for the balance of a simple-interest account is ...
A = P(1 +rt) . . . . P is the amount invested, r is the annual rate, t is years
A = £13400(1 + 0.065(5)) = £13400(1.325) = £17,755
Brian will have £17,755 after 5 years.
250 − 280 ÷ 22 =
HELP ASAP PLEASEEE
Answers
Answer:
237.272727
Step-by-step explanation:
Answer:
237.272727
if you want to round it to the nearest hundredth it would be: 237.27
to the nearest tenth: 237.3
and to the nearest whole number: 237
Step-by-step explanation:
250 - 280 ÷ 22 =
250 - 12.7272727 = 237.272727
PLS HELP!! WILL GIVE BRAINLIEST!!
Graph y = -2x+1
Answers
Answer:
I hope this helps! Have a great day!
Step-by-step explanation:
what is the relationship between
Answers
Answer: B
Step-by-step explanation:
3x + 2
2
=13
What does x equal ?
Answers
Answer:
X=1
Step-by-step explanation:
ask if you need an explanation ! :)
Answer:
X can also mean multiplacatin
Step-by-step explanation:
if it is next to the number like : 4X then it could mean multiplacation
6. Give examples of symmetry.
e 8t
Part I: The word BOOK has a horizontal line of symmetry when it is written in all capital letters. Write
two other words with four or more letters that have a horizontal line of symmetry. (2 points)
H,V, I,M,w
Part II: The letter Y has a vertical line of symmetry when it is written as a capital letter. Find five other
letters that have a vertical line of symmetry. Then draw each letter showing the lines of symmetry.
Show your work. (2.5 points)
Answers
B C D E H I K O X
HOODIE
OXIDE
DECODE
CHOKE
Part I: The letters that have a horizontal line of symmetry are B, C, D, E, H, I, K, O, and X.
Part II: The letters that have a vertical line of symmetry are A, H, I, M, O, T, U, V, W, X, and Y.
A line that splits a form exactly in half is known as a line of symmetry. This indicates that both half of the object would perfectly match if you folded it along the line.
Part I: The letters of the English alphabet having horizontal lines of symmetry are B, C, D, E, H, I, K, O, and X.
Part II: the letters of the English alphabet having vertical lines of symmetry are A, H, I, M, O, T, U, V, W, X, and Y.
Therefore,
Part I: The letters that have a horizontal line of symmetry are B, C, D, E, H, I, K, O, and X.
Part II: The letters that have a vertical line of symmetry are A, H, I, M, O, T, U, V, W, X, and Y.
Learn more about the symmetry here:
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Hey, please do this!! you can do one of them you don’t have to do them all, but if you want to do them all that would be also appreciated!!
Answers
Answer:
9+13=22
2(5)+5=15
3(-8)+24= 0
Describe the exponential function.
A. Growth
B. Decay
C. Both
D. Not enough information
Answers
Answer:
a. Growth
Step-by-step explanation:
the line is going up in positive numbers
Answer:
Growth
Step-by-step explanation:
because the line is going into the positive numbers
Please help I don’t understand
Answers
===================================================
Short Explanation:
Subtract the arcs and divide by 2 like so
angle 1 = (longerArc - shorterArc)/2
angle 1 = (100 - 30)/2
angle 1 = 70/2
angle 1 = 35 degrees
---------------------------
Longer explanation:
Refer to the diagram below. I have replaced the 100 and 30 degree arcs with A and B respectively. I've also added in the arc measures of y and z.
Note how the smaller circle arc pieces A, B, y and z all form a complete full circle. So those values add to 360. We get A+B+y+z = 360. We'll use this later.
In the diagram, I've also drawn a blue segment to form a triangle. The angle x we want to find has replaced angle 1. The angles (y+B)/2 and (z+B)/2 are found through the inscribed angle theorem.
Focus on the triangle. The three angles of any triangle always add to 180, so,
(z+B)/2 + (y+B)/2 + x = 180
we can multiply both sides by 2 and we end up with
z+B + y+B + 2x = 360
z+y+2B + 2x = 360
Since we have 360 on the right hand side of this equation, and the equation A+B+y+z = 360, this means that the left sides of each equation are the same.
We can then say the following
z+y+2B + 2x = A+B+y+z
2B+2x = A+B
2x = A+B-2B
2x = A-B
x = (A-B)/2
This is the formula used in the "short explanation" section above. In this case, A = 100 and B = 30, so
x = (A-B)/2
x = (100-30)/2
x = 70/2
x = 35
The measure of angle 1 is 35 degrees.
Side note: With that formula above, we always have A > B.
Answer:
[tex]m\angle 1 = 35^\circ[/tex]
Step-by-step explanation:
Exterior Angle of a Circle
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Please refer to the figure below.
The measure of the exterior angle x is given by:
[tex]\displaystyle x=\frac{b-a}{2}[/tex]
Where a and b are the intercepted arcs.
We are given b=100° and a=30°, thus angle 1 is:
[tex]\displaystyle m\angle a=\frac{100°-30°}{2}[/tex]
[tex]\boxed{m\angle 1 = 35^\circ}[/tex]
I load of bricks is twice as heavy as a load of sticks the total weight of four loads of bricks and four loads of sticks is 771 kilograms what is the total weight of one load of bricks and three loads of sticks
Answers
9514 1404 393
Answer:
321.25 kg
Step-by-step explanation:
The given relations are ...
b = 2s
4b +4s = 771
Substituting for b, we have ...
4(2s) +4s = 771
12s = 771
s = 64.25
b = 2s = 128.50
Then the weight of interest is ...
b +3s = 128.50 +3(64.25) = 321.25 . . . . kg
Paul was plotting points on a graph. He was given (3,4). When he moves 3 spaces, which direction will he need to go?
Answers
Answer:
right from the y-axis
Step-by-step explanation:
The ordered pair (3, 4) is understood to be the (x, y) coordinates of the point Paul wants to plot.
__
The x-coordinate (3) is the number of spaces the point lies to the right of the y-axis.
The y-coordinate (4) is the number of spaces the point lies above the x-axis.
__
If Paul is moving 3 spaces from the y-axis, he will be moving to the right to get to where he will plot the point.
solve for x x/6+5=4
x=
Answers
Answer: 30/23
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 4x from both sides.
Step 3: Subtract 5 from both sides.
Step 4: Multiply both sides by 6/(-23).
lolz have a nice day!!!
Answer:
Multiply the whole equation to 6 to make it simple.
So you get:
X + 30 = 24
So: X = 24 - 30 = ( - 6 )
a) What is the value of the 9 in the number 56.279?
Answers
Answer:
the thousandth decimal value
Step-by-step explanation:
Can someone please help me with this question?
Answers
Answer:
step by step
Step-by-step explanation:
here
h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = B T 9 h 5 i f R 1 t Y
Please urgent fast thanks
Answers
Answer:
A) I = $171.73
B) $4771.73
Step-by-step explanation:
We are told her loan is $4600 for 7 months.
Thus;
Principal; P = 4600
Time; T = 7 months = 7/12 year
Interest rate is given as 6.4%
Thus; r = 6.4
A) To get the interest, the Formula is;
I = PRT/100
I = (4600 × 6.4 × (7/12))/100
I = $171.73
B) Since interest is $171.73, it means amount she owes after the 7 months = $4600 + $171.73 = $4771.73
Which function below has the greatest rate of change
Answers
Answer:
.............,................a is the ans
The height of a fish tank is 1.1 feet, and the area of the tank's base is
14 square feet. To find the volume of the tank, multiply the height by the
area of the base. What is the volume of the fish tank
Answers
Answer:
Step-by-step explanation:
volume = 1.1 ft × 14 ft² = (1.1×14) ft³ = 15.4 ft³
Write an equation that represents the line passing through the point -3, -1 with a slope of 4
Answers
Answer:
Equation that represents the line passing through the point -3, -1 with a slope of 4 is
[tex]y= 4x+11[/tex]
Step-by-step explanation:
Equation of line in point slope form is
[tex]y-y_1=m(x-x_1)[/tex] -------(1)
Here
[tex]m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)[/tex]
Substituting values in equation (1)
[tex]y+1=4(x+3)\\ y= 4x+11[/tex]
A bank account starts with $10. Every month, the amount of money is tripled. is this linear or Exponential
Answers
Answer:
This is exponential.
Step-by-step explanation:
Hope this helps! Have a nice day!
solve simultaneous equations 4x+3y=7 3x-2y=18 what does x and y =
Answers
8x+6y=14
Multiply the second equation by 3
9x-6y=54
Add the resulting equations together to eliminate the y terms
17x= 68
x= 4
4(4)+3y=7
3y=-9
y=-3
(x,y) = (4,-3)
8.174 rounded to nearest whole number
Answers
Answer: 8
Step-by-step explanation: Look at the first digit after the decimal point, if it is less than 5 than you do not have to do anything. In this case, it is less than five so it is closer to zero, which is why we count it and all the numbers behind it like a zero. It does not work that way for some problems! Hope this helps!
1<5, 7>5, 4<5, 4 does not change the 7. 7 makes the 1 a 2.
2 still less than 5.
So, the answer is 8
What is the Valois c^2 + 7 when c= 5
Answers
Answer:
32
Step-by-step explanation:
5^2 + 7 = 25 + 7 = 32
