x=7 is the solution for the given equation
x=4 is the extraneous solution .
Given :
[tex]\sqrt{x-3} +5=x[/tex]
Explanation :
To solve the given equation for x , we need to remove the square root first
Subtract 5 on both sides
[tex]\sqrt{x-3}+5=x\\ \sqrt{x-3}=x-5\\\\[/tex]
Take square on both sides to remove square root
[tex]x-3=(x-5)^2\\x-3=x^{2} -10x+25\\[/tex]
Subtract x and add 3 on both sides
[tex]0=x^{2} -11x+28\\0=(x-7)(x-4)\\[/tex]
Set the factors =0 and solve for x
[tex]x-7 =0\\x=7\\\\\\x-4=0\\x=4[/tex]
x values are 4 and 7
Now we check the values using original equation and verify it
[tex]x=4\\\sqrt{x-3} +5=x\\\sqrt{4-3} +5=4\\\\6=4 \\[/tex]
x=4 does not satisfies the original equation
Now we check x=7
[tex]\sqrt{7-3} +5=7\\7=7[/tex]
x=7 is the solution
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How many decimal places does
0.005011
have please? :)
Answer:
6
Step-by-step explanation:
6 decimal places
0.005011 has six decimal places.
What is a decimal place?
'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'
According to the given problem,
For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.
For counting decimal places, we need to count the number of digits present to the right of decimal point.
Hence, we can conclude that 0.005011 has 6 decimal places.
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3(s-5)/4 -3 = 4s- (s-3)/2
pls answer fast
Answer:
[tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
Step-by-step explanation:
[tex] \frac{3(s - 5)}{4 - 3} = \frac{4s \times (s - 3)}{2} [/tex]
➡️ [tex] \frac{3(s - 5)}{1} = 2s \times (s - 3)[/tex]
➡️ [tex]3s - 15 = 2 {s}^{2} - 6s[/tex]
➡️ [tex]3s - 15 - 2 {s}^{2} + 6s = 0[/tex]
➡️ [tex]9s - 15 - 2 {s}^{2} = 0[/tex]
➡️ [tex] - 2 {s}^{2} + 9s - 15 = 0[/tex]
➡️ [tex]2 {s}^{2} - 9s + 15 = 0[/tex]
➡️ [tex]s = \frac{ - ( - 9)± \sqrt{( - 9 {)}^{2} - 4 \times 2 \times 15} }{2 \times 2} [/tex]
➡️ [tex]s = \frac{9± \sqrt{81 - 120} }{4} [/tex]
➡️ [tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
➡️ [tex]s∉ℝ[/tex]
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.
Answer
(3.5 times 5.25) times 4
Step-by-step explanation:
then convert the decimal to a fraction.
pls answer my question
Answer:
a=1,2,4,5,6,7
b=1,7
c=2,5
d=4,6
HCF of 32,48,64 is 16
dentify the error in finding the distance between A(6,2) and B(1,−4).
contesteneme doy coronita y 25 puntos tambien 5 estrellas
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80
if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
Which expression has the same value as 2 + (-3)?
23
O 2 - (3)
Submit Answer
0-2+(-3)
-3 - 2
o
Answer:
2-3 is same as 2+(-3)
.
.
.
Hope it helps
explain what a ratio is in the easiest way possible
Step-by-step explanation:
A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Find (h•g)(x)
h(x)= 3x-3 and g(x)=x^2+3
Answers:
A: 3x^3 - 3x^2 + 9x
B: 3x^3 - 3x^2 + 9x - 9
C: 3x^3 + 3x^2 + 9x - 9
D: 3x^3 - 9
Answer:
the answer is b!!!!!!!!!!!!
(3x-3)(x²+3)
=x²(3x-3)+3(3x-3)
=3x³-3x²+9x-9
<2 and <3 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
<2 and <4 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
Answer:
first D and second B.
Step-by-step explanation:
first D and second B.
Answer:
Use the diagram.
1.
angle1 and angle2 are adjacent angles.
Correct answer A. true
Incorrect answer B. false
2.
angle3 and angle4 are complementary.
Incorrect answer A. true
Correct answer B. false
3.
angle2 and angle3 are ______ angles.
Incorrect answer A. complementary
Incorrect answer B. vertical
Incorrect answer C. right
Correct answer D. supplementary
4.
angle2 and angle4 are ____ angles.
Incorrect answer A. complementary
Correct answer B. vertical
Incorrect answer C. right
Incorrect answer D. supplementary
5.
Find mangleABC if the line modifying above upper B upper D with two-way arrow bisects angleABC and given mangleABD = 5x and mangleDBC = 3x + 10.
Incorrect answer A. 5°
Incorrect answer B. 25°
Incorrect answer C. 30°
Correct answer D. 50°
Step-by-step explanation:
100% correct my friends
good luck out there
; )
Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.
Fill in the missing values to write an equation for the information given.
Answer: 6m+4n=32
Step-by-step explanation:
m=4
n=2
From this, we can deduce that m+n=32.
6*4=24 and 4*2=8. 24+8=32
So, 6m+4n=32. Hope this was what you were looking for!
1. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price. Uses for sale price and p for original price.
100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
Which expression has a value of 48?
A . (16−8)×(2+4)
B . 16−(8×2+4)
C . 16−8×(2+4)
D . (16−8)×2+4
Step-by-step explanation:
(16-8)x(2+4)
= 8x(6)
= 8x6
= 48
A rock climber is descending down a 500-foot tall cliff. After 8 minutes, the rock climber
has descended to a height of 280 feet. Find the height as a linear function of time
We have that The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
From the Question we are told that
Time t=8 minutes
Height h=500
Descended height h_d= 280 feet.
Generally the equation for the linear function is mathematically given as
Let
Height as a linear function =x
[tex]x=\frac{h_d-h}{t}*T+h[/tex]
[tex]x=\frac{280-500}{8}*T+500[/tex]
[tex]x=-27.5T+500[/tex]
In conclusion
The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
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Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)
Answer: 9
Step-by-step explanation:
Plot the points
Find the distance of each side
add the three numbers
9
Answer:
5. 27
6. 43
7. 47
Step-by-step explanation:
Which of the following sets could be the sides of a right triangle?
{2, 3, √10 }
{3, 5,√34 }
{5, 8, 12}
I believe that it’s the last one because it makes the most sence but then again i could be wrong
) A club on campus is selling Entertainment coupon books for $30 each. It costs the team $10 to
buy each book. The club has 500 books. The team's profit P(n) is given by the following
function where n represents the number of books sold.
p(n) = 30n - 5000
a. What does the 30n represent?
b. What does the 5000 represent?
c. How much profit would they make if they sold 400 books?
Answer: hola
Step-by-step explanationno
divide rs. 560/-among A,B and C in such a way that A and B are in 2:3 while B and C are in 4:5
plz help me with this answer
Answer:
128 : 192 : 240
Step-by-step explanation:
Given that
A : B = 2 : 3
That is B = 1.5A
Then in fractional form
[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so
[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4C = 7.5A ( divide both sides by 4 )
C = 1.875A = 1.875 × 2 = 3.75
The ratios of A : B : C = 2 : 3 : 3.75
Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75
Divide the quantity by 8.75 to find the value of one part of the ratio
560 ÷ 8.75 = 64 , then
2 parts = 2 × 64 = 128
3 parts = 3 × 64 = 192
3.75 parts = 3.75 × 64 = 240
Then A : B : C = 128 : 192 : 240
Is the difference of a rational number and an irrational number always irrational? Explain.
Answer:
Step-by-step explanation:
Yes, the irrational number stays irrational.
Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers. If you like, they can be relatively prime to each other.
a/b + x = c/d Subtract a/b from both sides.
x = c/d - a/b Now put the 2 fractions over a common denominator.
x = (c*b - d*a)/(b*d) Investigate what you have.
b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).
cb and da are also integers. subtracted integers are also closed under subtraction.
But
Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)
So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
A. (−3, 0)
B. (−1, −4)
C. (1, −8)
D. (1, −4)
Answer:
d
Step-by-step explanation:
A rectangle has an area of 21 square centimeters. Which of the following could be the rectangle's length and width? Area = length x width Choose all answers that apply
A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT
Answer:
A. Selection Bias
Step-by-step explanation:
Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.
Answer:
selection bias
Step-by-step explanation:
i got it right
10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answer:
here you go mate.
These are the solutions
is this right ,and if not respond quickly
Answer:
Q.3 It takes 490 seconds for light to get from the sun to the earth should light travel at the above-mentioned speed.
Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.
Answer:
BD measures 20 units.
Step-by-step explanation:
We are given that Point C is on the line segment BD, where:
[tex]BD = 5x, BC = 4x \text{ and } CD = 4[/tex]
And we want to determine the numerical length of BD.
Since C is somewhere on BD, BD is the sum of BC and CD:
[tex]\displaystyle BD = BC + CD[/tex]
Substitute:
[tex](5x) = (4x) + (4)[/tex]
Solve for x. Subtract:
[tex]x = 4[/tex]
Hence, the value of x is 4.
BD is given by 5x. Therefore:
[tex]BD = 5(4) = 20\text{ units}[/tex]
In conclusion, BD measures 20 units.
What is the answer ?
Answer:
70 seconds
Step-by-step explanation:
first we'll divide seconds by shirts 28/2 to find out how long it takes to do one shirt. it takes Jonah 14 seconds to do 1 shirt so we can then multiply that by 5 shirts to get 70 seconds
So like for integers when it’s only 28 - 19 do you change the negative to a positive like 28 - 19?
Answer:
Sorry I don't really understand your question, but 28-19 is 9 therefore 9 is more than 0
9 >0
What is the perimeter of this rectangle?
21 units
3 units
12 units
None of the above.
Answer:
12
Step-by-step explanation:
12 units....
perimeter is the total surface area of a certain object or shape... counting only the surfaced side of each square tat makes up this rectangle.... its perimeter is 12 units
