We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
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Answer:
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Step-by-step explanation:
shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3
Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x
Answer:
x is equal to both 3 and 6.
Step-by-step explanation:
[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]
So x values of 3 and 6 will make this statement true.
5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST
Answer:
I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25
Step-by-step explanation:
Ryan's dog weighs 50 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight? A. 50 × p B. 50 + p C. 50 ÷ p D. 50 - p
Answer:
B, 50 + p.
Step-by-step explanation:
To combine their weight, you would add them together. B is the only answer that uses addition.
Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much each customer paid.
After the previous four customers, another customer, Timothy, spent $28.00 buying apples.
We can determine that Timothy bought ------------
of apples.
A: 11
B: 12
C: 14
D: 16
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?
Answer:
2.5
Step-by-step explanation:
5 divided by 2= 2.5
Answer:
2.5
Step-by-step explanation:
WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?
Answer:
A
Step-by-step explanation:
Answer:
C or 2(cos(pi/3)+i sin (pi/3))
I need help finding an eqaution for this. Thank you in advanced
Answer:
Formula: [tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Normal Price: [tex]\$1.15[/tex]
Step-by-step explanation:
First, you have to find the current price of one cookie.
Since 7 cookies cost $2.80, then the price for one sale price cookie would cost
Then you would have to add the $0.75 to the sale price to get the normal price.
[tex]\$0.4\ +\ \$0.75=\$1.15[/tex]
The normal price of a cookie would be $1.15.
The formula to get that answer would be:
[tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]
Hope this helps!
3. Tarzan went to the plant nursery and bought a tree that was initially 90 feet tall for his monkey friends to climb on.
After planting the tree, Tarzan made a table to record the height, h, of the tree, t years after it was planted. “Zero” is the time when he planted the tree.
t 0 1 2 3 4
h 90 105 120 135 150
(a) Use words to describe the relationship between the height of the tree and the number of years since it was planted.
(b) Write a two-variable equation to illustrate the relationship between the height of the tree and the number of years since it has been planted.
Answer:
ok im convuzed how do you buy a 90ft tree cuz that sounds fun
Step-by-step explanation:
pls lemme know
Does this table of values represent a linear relationship? Explain your answer.
Answer:
Yes
Step-by-step explanation:
Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.
To be a linear line you have to have a constant rate of change.
What is the slope and y intercept of this diagram
The Answer is 1/5 and 5
I need help guys please help
A bowling alley charges a one-time fee of $5.50 to rent shoes and $3.50 per game. Write an equation that represents "y", the total dollar amount that you must pay to bowl "x" games.
Please help this is due today, I would appreciate it if you did help!
Answer: 14$
Step-by-step explanation:
let x = number of games, let y = cost of shoe rental
then Total cost = x•$4 + y
In this case, TC = 3•$4 + $2
TC = $14
Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
factor completely, I NEED HELP
4x^3 + 7x^2 +4x + 7
The common factor is x ^ 3
So that gives you x ^ 3 = (4+ 7 / x + 4 / x ^ 2 + 7 / x ^ 3)
Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)
If the measures of 2 angles of a triangle are 35 degree and 80 degree then find the measure of its third angle
Plz help I am marking branliest and I can follow you if you give correct answer :D
Step-by-step explanation:
the 3rd angle = 180 - ( 35+80 ) = 65
Answer:
65
Step-by-step explanation:
let the third angle be y
y+35+80=180
y+115=180
y=180-115
y=65
Which inequalities have no solution? Check all of the boxes that apply.
-3x <-3x
-4 + x>-2 + x
O X-2
Answer:
-3x<-3x and -4+x>-2+x are both false
Step-by-step explanation:
1) -3x = -3x; they are the same amount.
2) -4 + x > -2 + x
-x -x
----------------------
-4 > -2
-4 > -2 is false because -2 > -4.
PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
CLEAR CHECK
Answer:
-5 - (-7) = -5 + -7
= 2
-5 - 7 = -5 + -7
= -12
if p = x(3x+5) - 28, then p is divisible by which of the following expressions?
Answer:
o p is factorable by 3x - 7, and x + 4
Step-by-step explanation:
Let's factor it:
[tex]p = x(3x + 5) - 28\\p = 3x^2 + 5x - 28\\p = (3x - 7)(x + 4)[/tex]
So p is factorable by 3x - 7 and x + 4
please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.
0.4286 is not rounded to hundredth rounded is 0.44
I think the answer is 0.43
14. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(B|A) =
a. 0.80. b. 0.50. c. 0.10 d. 0.40. e. none of the above.
15. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) =
a. 0.7. %3D %3D b. 0.9 c. 1.1. d. 0.2. e. none of the above.
Answer:
14) b) P(B/A) = 0.50
15) P(A or B) = 0.7
Step-by-step explanation:
14)
Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2
Conditional probability of B given that A
[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]
15)
By using Addition theorem on probability
P( A ∪ B) = P(A) + P(B) - P(A∩B)
= 0.4 +0.5 - 0.2
P( A ∪ B) =0.7
Jack has the following scores on exams in his math class 81, 87 93, 89, 61 81 If he wants to make his performance sound as good as possible, which measure should he use the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain In you response, make sure to a calculate the mean, o calculate the median, and c calculate the mode of his exam grades D compare and pick the measure that makes his performance sound as good as possible. plz explain
Answer:
mean is 82, Median is 84, mode is 81
Step-by-step explanation:
The mean of the given data set is 82, median is 84 and mode is 81.
The given data set is 81, 87 93, 89, 61, 81.
What is the median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Now, the ordered pair is 61, 81, 81, 87, 89, 93.
Median = (81+87)/2
=168/2
=84
Mean = Sum of all the observations/Number of observations
= (61 + 81 + 81 + 87 + 89 + 93)/6
= 492/6
= 82
Mode = The mode is the value that appears most frequently in a data set.
Here, 81 is the most frequently in the given data set.
Therefore, the mean of the given data set is 82, median is 84 and mode is 81.
To learn more about the arithmetic mean visit:
https://brainly.com/question/23706022.
#SPJ5
Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1
Answer:
7.11 > -7.1
Step-by-step explanation:
What is the range of h
Answer:
The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x)
Step-by-step explanation:
GOOD LUCK
if x =20 and y =40 then x and y are
Answer:
Are directly proportional
Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.
180
- 180
- 720
720
======================================================
Work Shown:
f(x) = 3^x
a = 2 = lower value of the interval
b = 6 = upper value of the interval
c = average rate of change of f(x) from a to b
c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula
c = ( f(6) - f(2) )/(6 - 2)
c = ( 3^6 - 3^2 )/4
c = ( 729 - 9 )/4
c = 720/4
c = 180
The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180
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Answer:
monke
Step-by-step explanation:
delicious
What is the equation of this line
Answer:
Y= 2x
Step-by-step explanation:
Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.
How long will it take for $5,000 to double at the rate of 2.25% interest?
Answer:
31.15
Step-by-step explanation: