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[tex] \sqrt{x + 9} = x - 3[/tex]
Sides gets power 2
[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]
[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]
_________________________________
[tex]x + 9 = {x}^{2} - 6x + 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]
[tex]x = {x}^{2} - 6x[/tex]
Subtract sides x
[tex]x - x = {x}^{2} - 6x - x[/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex]x(x - 7) = 0[/tex]
[tex]x = 0[/tex]
OR
[tex]x - 7 = 0[/tex]
[tex] x = 7[/tex]
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[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]
[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]
Subtract sides 9
[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]
[tex]x = - {x}^{2} + 6x - 18 [/tex]
Subtract sides x
[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]
[tex] - {x}^{2} + 5x - 18 = 0[/tex]
Multiply sides by -1
[tex] {x}^{2} - 5x + 18 = 0 [/tex]
[tex]x = No \: \: solution[/tex]
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CHECK the roots :
[tex]x = 0[/tex]
[tex] \sqrt{0 + 9} ≠0 - 3[/tex]
[tex] \sqrt{9} ≠ - 3[/tex]
[tex]3≠ - 3[/tex]
Thus (( x = 0 )) is unacceptable.
+++++++++++++++++++++++++++++++++++++++
[tex]x = 7[/tex]
[tex] \sqrt{7 + 9} = 7 - 3[/tex]
[tex] \sqrt{16} = 4[/tex]
[tex]4 = 4[/tex]
Thus (( x = 7 )) is the only solution for x.
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Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
D. Determine the volume of a sphere given the radius
Answer:
C
Step-by-step explanation:
Mathematically, the volume of a cube of side L is given as;
V = L^3
Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides
By finding the cube roots of both sides, we can easily get the value of the side of the cube in question
hi pls help! i'll give brainliest +30 points
Answer:
Option 3
Step-by-step explanation:
Because only the constant is changed.
The sum of two consecutive even integers is 70. Find the integers
Answer:
It is 34 and 36.
Step-by-step explanation:
Tomika uses 619 inches of wire to make a necklace and 313 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 2813 inches of wire in all?
Enter your answer in the box.
sets
Answer:
2,796.
Step-by-step explanation:
First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.
Convert the following fraction to a decimal: ⅖ *
What is the greatest four-digit multiple of 18?
Please help me
Answer:
9990.
Step-by-step explanation:
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50
Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93
Step-by-step explanation:
E(x)= 10
It is a continuous random variable, so calculating for ✓, we have
10=E(x)1/✓
✓=1/10=0.1
1)P(x>60)=1-F(60)=e^0.1x60=0.0025
2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63
3) for 0.1, x= -1/0.1 ln0.1= 23
4) for 0.9, x= -1/0.1 ln 0.9= 1.053
5) for 0.5, x -1/0.1 ln 0.5= 6.3
Re-write the quadratic function below in Standard Form y = 2(x + 5)² + 3.
Answer:
[tex]2x^{2} +20x+53[/tex]
Step-by-step explanation:
2(x^2 + 10x + 25) + 3
2x^2 + 20x + 50 + 3
2x^2 + 20x + 53
If h(x) = 20 +5, find h(2)
Answer:
I think the answer is 50
Step-by-step explanation:
thats how i learned in school i dont remember tho
Write the equation of a line that is parallel to y=2/3x+7 and goes through the point (6,9).
Answer:
m1=m2 condition for parallelism
m1=m2= 2/3
= y-7/x_6
y=2/3x +3
y = 9 - 1
What is this ?
Help me solve this problem please
IM 18 MY number is 920-896-1733 if want to text ;0
Answer:
Don’t wanna
Step-by-step explanation:
What is the slope of the line on the graph?
10
.
Enter your answer in the box
Answer:
Slope = -2
Step-by-step explanation:
use the formula y2-y1 over x2-x
Pick two points from the graph
(3,-6) and (-3,6)
X= 3 and -3
Y= -6 and 6
6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)
Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??
Answer:
Each loft was $0.70 cents?
Step-by-step explanation:
$16.59/ 21 =$0.70
I just read the including tax part. How much was the tax?
Answer:
$.84
Step-by-step explanation:
16.59 * .06 = .9954
.9954 + 16.59 = 17.5854
17.5854 / 21 = .8374
.8374 rounded to the nearest hundredth is .84
Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Given:
Parallel lines p and q are cut by transversal r.
m∠3=(3x + 4)° and m∠5=(2x + 11)°.
To find:
The relation between ∠3 and ∠5, then find the measure of angle 5.
Solution:
Parallel lines p and q are cut by transversal r as shown in the below figure.
From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.
[tex]m\angle 3=m\angle 5[/tex]
[tex](3x+4)^\circ=(2x+11)^\circ[/tex]
[tex]3x+4=2x+11[/tex]
Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].
Isolate variable terms.
[tex]3x-2x=11-4[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]\angle 5=(2x+11)^\circ[/tex]
[tex]\angle 5=(2(7)+11)^\circ[/tex]
[tex]\angle 5=(14+11)^\circ[/tex]
[tex]\angle 5=25^\circ[/tex]
Therefore, the measure of angle 5 is 25°.
When
When 7 is subtract from three times a certain number the result is 28 what is the number
Answer:
x=49
Step-by-step explanation:
you replace the unknown with a variable (x)
you subtract 7 three times, so it x-7-7-7=28 or x-21=28
you add 21 to both sides, then you get x=49
What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.
Answer:
1/6
Step-by-step explanation:
There are 6 different outcomes when rolling a fair dice.
You can roll a:
1
2
3
4
5
or
6
There is one outcome we want. Probability=number of desirable outcomes/total number of options.
1= number of desired outcomes
6-=total number of outcomes
1/6
List the values in ascending order.
43%.
2 3
is
Answer:
1. 2/3 = 66.66%2. 43%Thank you ☺️
A line passes through the points(-6,-3) and (6,-3). which of the following points are also on the line
A.(-3,0)
B.(6,0)
C.(0,-3)
D.(-6,0)
Answer:
C. (0, -3)
Step-by-step explanation:
The red point is (-6, -3)
The blue point is (6, -3)
The only answer that fits through the line that those two would make is (0, -3)
Please mark Brainliest! I need it to level up!!
Write each decimal as a mixed number in simplest form.
6. 3.6
7. 10.4
8. 2.11
Answer:
3 and 3/5
10 and 2/5
2 and 11/10
Step-by-step explanation:
Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.
Example: What is 3 squared?
3 Squared== 3 × 3 = 9
"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"
(the little 2 means the number appears twice in multiplying, so 4×4=16)
Square Root
A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3
It is like asking:
7 - 3(5x - 10) - 67
Answer:
−15x+−30
Step-by-step explanation:
Distribute:
=7+(−3)(5x)+(−3)(−10)+−67
=7+−15x+30+−67
Combine Like Terms:
=7+−15x+30+−67
=(−15x)+(7+30+−67)
=−15x+−30
Answer:
Step-by-step explanation:
66
ANSWER IT ANSWER IT!
Answer:
A perfect square means that all side are EXACTLY equal. I hope this helps!
Step-by-step explanation:
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number
3/4x +3/2x=9/4
What is the answer to this
Six more than four times a number is equal to eight added to three times the same number. Find the number
6+4x=8+3x
-3x -6
x=2
the number is 2
And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function
Answer:
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
Step-by-step explanation:
Given
[tex]C(x) = -17x + 90[/tex]
[tex]R(x) =- 0.25x^2 + 25x[/tex]
Required
Determine the profit function.
Profit function is calculated as thus:
[tex]P(x) = R(x) - C(x)[/tex]
So, we have:
[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]
[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
This graph represents −2x+y=4.
Which ordered pair is in the solution set of −2x+y≥4?
(2, −1)
(−2, −1)
(−2, 1)
(2, 1)
Answer:
-2,1
Step-by-step explanation:
Answer:
the answer is (-2,1)
Hiiii Please help!!!
m/n(x), x≠
When we evaluate the quotient functions, (mn)(x) for x = -3
(mn)(-3) = 9 and (m/n) (x), x ≠ 0
How did we evaluate the quotient function?To evaluate the quotient function (mn)(x) for x = -3, we substituting x = -3 into the function mn(x).
This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.
We then need to evaluate (m/n)(x), x ≠ 0.
This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine
Find more exercises on quotient function;
https://brainly.com/question/31065639
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Which table is correct for y = -3/2X + 5
Answer:
we need the tables.
Step-by-step explanation: