a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers
9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)
Answer:
-18
Step-by-step explanation:
Follow these steps to get your answer!
Divide 36/9 and multiply -6(7)
25 - 5 + 4 - 42
Subtract 25-5
20 + 4 -42
Add 4 to 20.
24-42
Subtract 42 from 24.
-18
Answer:
-18
Step-by-step explanation:
start with the figure in brackets. 6(7)=42
then do division. 36/9=4
our expression now is 25-5+4-42
addition first 25+4=29
finish with subtraction. 29-5-42=-18
answer=-18
Cody has two bags of counters, bag A and bag B.Each of the counters has either an odd number or an even number written on it. There are 10 counters in bag A and 7 of these counters have an odd number written on them. There are 12 counters in bag B and 7 of these counters have an odd number written on them. Cody is going to take at random a counter from bag A and a counter from bag B.
a) Complete the tree diagram.
Harriet also has a bag of counters. Each of her counters also has either an odd number or an even number written on it. Harriet is going to take at random a counter from her bag of counters. The probability that the number on each of Cody's two counters and the number on Harriet's counter will all be even is 3/100.
b)Find the least number of counters that Harriet has in her bag.
monke monked mon key
CAN SOMEONE HELP ME ASP!!
The profit function, P(x) , revenue function, R(x), and cost function, C(x), are related by the equation P(x)=R(x)-C(x) . Manuel has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=3x C(x)=600+2x. What is the profit function in standard form for Manuel's new product line
Answer:
P(x) = 5x - 600
Step-by-step explanation:
Given
Cost function C(x) = 600+2x
revenue function R(x) = 3x
If the profit function is related by the equation
P(x)=R(x)-C(x)
P(x)= 3x - (600-2x)
open the parenthesis
P(x) = 3x - 600 + 2x
P(x) = 3x+2x - 600
P(x) = 5x-600
Hence the profit function in standard form for Manuel's new product line is P(x) = 5x - 600
HELPPPP PLZZZ ASAPPP!!!Look at the illustration of four letters from the American Manual Alphabet. Decide whether the description of the letter is a good definition. If not,
choose a counterexample.
The letter I is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.
The letter J is a counterexample
The letter y is a counterexample
The letter A is a counterexample
This is a good definition
while keeping your hand still
Answer: I think it’s J, because the picture is also holding the smallest finger up (the pinky) and the rest of the fingers are folded inside the palm of the hand and the thumb is folded over them, I hope this helps!!
Step-by-step explanation:
The letter J is a counter example. Option a is correct.
Letters of alphabet to be determine.
Alphabets are the sets of letters from A to Z.
Here, the little finger is up and all the finger is folded and the thumb folded over the three finger implies its 'J'.
Thus, the letter J is a counter example.
Learn more about alphabets here:
https://brainly.com/question/20261759
#SPJ2
the other one is 27
Answer:
the scale factor is 9 and x = 58.5
Step-by-step explanation:
to get the scale factor just do DE/AB so 27/3
The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.
Answer:
1 5 10 10 5 1
Step-by-step explanation:
The complete question has been attached as an image.
Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have
1 4 6 4 1
1 5 10 10 5 1
And that is the required set of numbers.
What is the answer for 8
Answer:
no they share the same y value for two different x values
In a normal distribution, what is true about the mean, median and the mode?
Answer:
Equal to each other.
Step-by-step explanation:
The mean and median of a normal distribution are both equal to the mode. In other words, the mean, median, and mode of a normal distribution are all the same.
The absolute value on number line
WHAT IS THE VALUE OF B helpppp plz ?
3/4of 16/27/23/14+12/18 using bodmas rule
what is the slope of the line thru passes thru (1,1) and (9,6)
Answer: 0.6
Step-by-step explanation:
x1=1
x2= 9
y1=1
y2=6
SLOPE OF THE LINE
= y2-y1/x2-x1
= 6-1/9-1
=5/8
=0.6
I got this wrong can someone, please help me with this.
You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.
If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.
The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1
The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1
1 = 1, so these lines are parallel
H-4/x =y solve for x
Answer:
x - 1
Step-by-step explanation:
A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.
Answer:
[tex]Probability = 0.023[/tex]
Step-by-step explanation:
Given
Represent the given probability with P(Gene)
[tex]P(Gene) = 39\%[/tex]
[tex]Children = 4[/tex]
Since all 4 children get the disease, the required probability is calculated as thus:
[tex]Probability = P(Gene)^4[/tex]
[tex]Probability = 39\%^4[/tex]
Convert % to decimal
[tex]Probability = 0.39^4[/tex]
[tex]Probability = 0.02313441[/tex]
[tex]Probability = 0.023[/tex] Approximated
PLEASE help. Will give brainliest.
Answer:
y=5
x=10 and
z=2
Step-by-step explanation:
since they are equivalance then,
for
triangle ABC and triangle DFE
AB=DF,BC=FE and AC= DE
So, AB=DF
8y-20= 4y
or, y=5
Then, BC= FE
2x+5=x+15
or, x=10
and
AC=DE
3z+9=10z-5
or, z= 2
hope u got ut.
The triangles are parallel thus their sides are equal to each other peer to peer.
So ;
[tex]x + 15 = 2x + 5[/tex]
Subtract sides -5
[tex]x + 15 - 5 = 2x + 5 - 5[/tex]
[tex]x + 10 = 2x[/tex]
Subtract sides -x
[tex]x - x + 10 = 2x - x[/tex]
[tex]x = 10[/tex]
_________________________________
[tex]4y = 8y - 20[/tex]
Subtract sides -8y
[tex]4y - 8y = 8y - 8y - 20[/tex]
[tex] - 4y = - 20[/tex]
Negatives simplifies
[tex]4y = 20[/tex]
Divided sides by 4
[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]
[tex]y = 5[/tex]
_________________________________
[tex]10z - 5 = 3z + 9[/tex]
Plus sides 5
[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]
[tex]10z = 3z + 14[/tex]
Subtract sides -3z
[tex]10z - 3z = 3z - 3z + 14[/tex]
[tex]7z = 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]
[tex]z = 2[/tex]
_________________________________
And we're done....♥️♥️♥️♥️♥️
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong
Please help with this problem thank you.
-8 + n = 62 What is n?
Answer:
n = 70
Step-by-step explanation:
-8 + n = 62
n = 70
K^2+k=0 what does k=
Answer:
k = K^2
Step-by-step explanation:
Subtract K^2 from both sides of the equation.
What is the product of -3(-6r+6)
Step-by-step explanation:
-3 times -6r= 18r
-3 times 6 =-18
18r=-18
R=-1
If the answer is wrong try just 1
Answer:
0
Step-by-step explanation:
remove r first
-3(-6+6)
-3x-6= 18 -3x6|=-18
18-18=0
or
-3(-6+6)
=-3(0)
=-3x0
=0
don't forget the r you removed which equals to one
so you got 1
-3(-6r+6)=1
wish it could help
Rita and Bernie both play the same online game. In today's play, Rita earns 6 points 3 times and loses 4 points twice.
Bernie gets a bonus of 15 points for answering a trivia question correctly and then loses 25 points twice for giving wrong
answers. Choose ALL statements that correctly describe this situation.
Answer:
Rita earns 10 points at the end of the play.
Bernie losses 35 points.
Step-by-step explanation:
Rita earns 6 points 3 time and loses 4 points twice
6 * 3 = 18
4 * 2 = 8
18 - 8 = 10 points
Bernie get bonus of 15 points
looses 25 points twice
15 - (25 * 2) = -35 points
Does anyone know this question?
Hi i need help on letters:
L,A,E,R,T,C,I,S,F,G,H,D,N,and O
Im giving 14 points if u answer all of them!!;)
Answer:
Step-by-step explanation:
E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48 N = 20: 40
A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11
(wouldve explained them but im in class :)
Which situations can represent the expression n+ 2? Check all that apply.
Ramya's grade increased by two points
the difference between Escher's highest score and two
the number of chapters Wally read plus two more
O two fewer than the maximum number of absences Ellie is allowed
two added to Allison's age.
the sum of Mikel's height and two
Answer:
Yes: Ramya's grade increased by two points
No: the difference between Escher's highest score and two
Yes: the number of chapters Wally read plus two more
No: O two fewer than the maximum number of absences Ellie is allowed
Yes: two added to Allison's age.
Yes: the sum of Mikel's height and two
Step-by-step explanation:
If it says yes, it is because it was adding 2. If it says no, it was either subtracting 2 or any other form of math other than adding 2.
Answer:
A,C,E,F
Step-by-step explanation:
Just shortening it up! The person above me is correct, though. Don't forget to make them brainliest (if you want to of course)! Major Big brain moment... lol!
Answer answered by Jordan
Stay Safe <3
↖(^ω^)↗
What is the difference between –12 and –5?
Answer:
-7
Step-by-step explanation:
(-12)-(-5)
negative and negative make a positive
-12+5
= -7
Answer:
-7
Step-by-step explanation:
A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.
Answer:
17
Step-by-step explanation:
d = √( (x₂ - x₁)² + (y₂ - y₁)² )
= √( (14 - 6)² + (19 - 4)² )
= √( 8² + 15² )
= √( 64 + 225 )
= [tex]\sqrt{289}[/tex]
= 17
solve 7x/3 is less than 2
Answer:
x<6/7
Step-by-step explanation:
7x/3 < 2
Multiply both sides by 3,
7x < 6
Divide both sides by 7,
x < 6/7
Answer:
x>6/7
Step-by-step explanation:
7x/3>2
Two angles are complementary. One angle measures 22 degree more than the other angle. Find the measure of the larger angle
Answer:
[tex]\theta = 56[/tex]
Step-by-step explanation:
Represent the angles with [tex]\theta[/tex] and [tex]\alpha[/tex]
Such that:
[tex]\theta = 22 + \alpha[/tex]
Since both angles are complementary, we have:
[tex]\theta + \alpha = 90[/tex]
Substitute [tex]\theta = 22 + \alpha[/tex]
[tex]22 + \alpha + \alpha = 90[/tex]
[tex]22 + 2\alpha = 90[/tex]
Collect Like Terms
[tex]2\alpha = 90 - 22[/tex]
[tex]2\alpha = 68[/tex]
[tex]\alpha = 68/2[/tex]
[tex]\alpha = 34[/tex]
Recall that:
[tex]\theta = 22 + \alpha[/tex]
[tex]\theta = 22 + 34[/tex]
[tex]\theta = 56[/tex]
Hence:
The larger angle is 56