Answer:
x=5
sqrt of 5-4=1
then 1 +x(5)=6
The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:
Start with the given equation: (√x - 4) + x = 6.
Begin by isolating the square root term on one side of the equation. Subtract x from both sides:
(√x - 4) + x - x = 6 - x
√x - 4 = 6 - x
Move the constant term to the right side by adding 4 to both sides:
√x - 4 + 4 = 6 - x + 4
√x = 10 - x
Square both sides of the equation to eliminate the square root:
(√x)² = (10 - x)²
x = (10 - x)²
x = (10 - x)(10 - x)
x = 100 - 10x - 10x + x²
x = 100 - 20x + x²
Rearrange the equation to form a quadratic equation:
x² - 21x + 100 = 0
Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:
(x - 4)(x - 25) = 0
Set each factor equal to zero and solve for x:
x - 4 = 0 or x - 25 = 0
Solving for x in each case:
x = 4 or x = 25
Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
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10z + 3 =9z solve for z
z=-3
Step-by-step explanation:
Answer:
z = -3
Step-by-step explanation:
10z + 3 = 9z
10z + 9z - 3
10z - 9z = -3
z = -3
Which ordered paur is a part of the equation? 3x-y=13
Answer:
(6,5), (3,-4) either one of those...
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
Find the slope of the line whose equation is 7x - 2y = 4.
-2
7/2
4/7
Help. I have a D in this class.
Complete the square to re-write the quadratic function in vertex form:
Answer:
y = (x - 4)² - 26
Step-by-step explanation:
To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that. Half of -8 is -4, so we need to add 26 to the equation to end up at 16:
[tex]y = x^2 - 8x - 10\\y + 26 = x^2 - 8x + 16\\y + 26 = (x - 4)^2\\y = (x - 4)^2 - 26[/tex]
Giving us the final result
PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)
Answer:
Look at picture attached
Step-by-step explanation:
I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)
Edit: The second attachment shows the point you can plot.
Please help this is due tosay
Please help and Imma be postin these all night I literally suck at algebra two so just check my profile if your good at math :)
Answer:
The range of the equation is y ≥ 9 ⇒ C
Step-by-step explanation:
The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h
The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertexThe parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative∵ The equation is y = x² + 9
→ Compare it with the form above to find a and b
∴ a = 1 and b = 0
∵ a is a positive number
∴ The parabola has a minimum vertex
→ By using the 1st rule above
∴ The range is y ≥ k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]
∴ h = 0
→ To find k substitute x by the value of h and y by k
∵ k = (0)² + 9
∴ k = 0 + 9
∴ k = 9
∴ The range of the equation is y ≥ 9
HELP ME PLEASE!!!!!!!!!!!
PLEASE HELP! I NEED THIS DONE BY TOMORROW!
1. In January, a mobile phone shop sold 100 phones. In February, they sold 92 phones. Represent this difference as a percentage change.
2. A piece is cut from a 130cm length of wood so that the remaining length is 104cm. What percentage of the wood has been cut off?
3. There are now 30 boys in a class that originally had 24 boys in it. What was the percentage increase in the number of boys in the class?
4. Last year, there were 300 students in Year 7. This year there are 315 students. Show that this is a 5% increase.
5. A piece of art was bought for £600. Six months later, it was sold for £675. What percentage of profit did the seller make?
6. In a sale, trainers originally costing £70 are reduced to £49. Calculate the percentage change.
7. Josh invests £3500. When his investment matures, he receives £4200. Work out the percentage
increase in his investment.
8. A car company bought a car for £8000. Two years later they sold the car for £7200. Calculate their
percentage loss.
Answer
down below
Step-by-step explanation:
i did it on your last post
please give me a brainliest!!
30 POINTS PLEASE HELP ME OUT
I need help please ( i dont know what to do )
Answer:
a) 10cm
b) 11.6 cm( approximately)
Step-by-step explanation:
Use pythagorean theorem
Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.
Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Find the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]
A computer has a sales price of $150, and is advertised for 25% off of the original price.
What is the original price?
Answer:
Original price:$150
Markdown percentage:25%
Sale price:$112.50
Discount savings:$37.50
Step-by-step explanation:
Please help I cannot figure out this math problem
Explain how to find the constant rate of change from the verbal description below.
Joe can drive his motorcycle 124 miles in 2 hours. If he goes at a constant speed what is the constant rate of change? (solve it but also explain how you would solve it)
Answer:
62miles/1hr
Step-by-step explanation:
In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.
At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.
Answer:
the answer is 25.30
Step-by-step explanation:
1. first you subtract the 15% from the bill that comes out to $27.20
2. next subtract the 7% tax from the $27.20 to get your answer
Maria is bringing her sick dog, Pedro in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $150 for tests and medicine plus $30 per appointment "a". A) Write an equation to show the total cost, "t" she will owe. *
Answer:
t = 150 + 30a
Step-by-step explanation:
Treatment of Pedro costs = Expenditure for tests and medicines + fees given for appointments.
If number of appointments = a
Cost per appointment = $30
Cost of 'a' appointments = $30a
Therefore, equation representing the total cost 't' of the treatment will be,
t = 150 + 30a
Rewrite 4% as a decimal.
Answer:
0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
simple math the 4 is in the ones place
A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)
Answer:
60°
Step-by-step explanation:
The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,
40 + 80 = 120
180 - 120 = 60
The third angle of the triangle is 60°
What is a triangle?A polygon with three angles, side, and vertices is called a triangle.
Given that, a triangle has angles that measure 40° and 80°.
We know that the sum of the interior angles of a triangle is 180°
Let the third angle be x,
40° + 80° + x = 180°
x = 180°-120°
x = 60°
Hence, the third angle of the triangle is 60°
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need help asap please
Answer:
c=7.17
Step-by-step explanation:
23=6c-20
43=6c
7.17=c
Answer:
7.16
I think this is correct
A system of equations is shown below.
y = 2x - 3
y = 5x + 6
What is the value of x + y?
A. -12
B. -9
C. 9
D. 12
Please help me!!!!
Answer:
-12
Step-by-step explanation:
Step1: Add 3 to both sides of the equation
2x -3 = 5x +6
+3 +3 = 9
Step2: subtract 5x from both sides of the equation
2x = 5x +9
-5 -5
Step3: divide both sides of the equation by the same term
-3x(/ -3) = 9(/-3)
X=-3Step4: multiply -3 with 2
-3x2= -6
Step4: subtract -6 with 3
-6 - 3= -9
Y=-9Step5: add the -9 to -3
-9 + -3 = -12
ANSWER: -12
What’s the slope of the line on the graph?
z varies directly with q. when z=2,q=1 .
find a formula connecting z and q
z=???
Answer:
[tex]z = \frac{q}{2} [/tex]
Step-by-step explanation:
[tex]z \infty q[/tex]
[tex]z = kq[/tex]
[tex]z = 2 \: and \: q = 1[/tex]
[tex]2 = k1[/tex]
[tex]k = \frac{2}{1} [/tex]
[tex]z = \frac{1}{2} q[/tex]
[tex]z = \frac{q}{2} [/tex]
9514 1404 393
Answer:
z = 2q
Step-by-step explanation:
The formula for direct variation is ...
z = kq . . . . . k is the constant of proportionality
We can find k using the given values of z and q:
k = z/q = 2/1 = 2
Then the equation connecting z and q is ...
z = 2q
Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?
Answer:
42 feet of string
Step-by-step explanation:
First, draw a diagram of the string, the height and the angle.
the length of the string is equal to the hypotenuse of the triangle
let length of the string=x
sin(θ)=opp/hyp
sin(72°)=40ft/x
x=40ft/sin(72°)
x=42.05848897ft≈42ft
PLEASEEE HELPPPP ASAPPP PLEASE
Find the length of the third side to the nearest tenth. 3 3
Answer:
4.2
Step-by-step explanation:
Hypotenuse ² = opposite ² + adjacent ²
Opposite = 3
Adjacent = 3
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = 3² + 3²
Hypotenuse ² = 9 + 9
Hypotenuse ² = 18
Find the square root of both sides
√Hypotenuse² = √18
Hypotenuse = √18
Hypotenuse = 4.2426406871192
Hypotenuse = 4.2 to the nearest tenth
The Barber are keeping track of their family energy costs. It costs the Barbers $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answer:
It will cost them $8.32 to run their dishwasher for 52 weeks.
Step-by-step explanation:
With the information provided, you can say that the cost to run the dishwasher is equal to the cost per week for the number of weeks, which would be:
Total cost=$0.16*number of weeks
Since you want to determine the cost to run the dishwasher for 52 weeks, you can replace the number of weeks in the formula to get the answer:
Total cost=$0.16*52
Total cost=$8.32
According to this, the answer is that it will cost them $8.32 to run their dishwasher for 52 weeks.
pls help!!!!!!!!!!11
Answer: A
Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D
Answer:
C. t = –4h + 21
Step-by-step explanation:
We know that when h = 0, t = 21°F. Replacing h = 0 in equation A and D we get:
A.
t = 21h + 4
t = 21(0) + 4
t = 4
D.
t = –21h + 4
t = –21(0) + 4
t = 4
So, none of them are correct.
The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in equation B and C we get:
B.
t = 4h + 21
t = 4(1) + 21
t = 25
C.
t = –4h + 21
t = –4(1) + 21
t = 17
In consequence, C is the correct option.
