Answer:
[tex]Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.[/tex]
Answer:
-2 and 6
Step-by-step explanation:
Mark the first number as x
and the second number as y
Since x + y = 4
y = 4 - x
// substitute the given value of y into the equation
[tex]x^{2} + y^{2}[/tex] - 3xy = 76
[tex]x^{2}[/tex] + [tex](4-x)^{2}[/tex] - 3 * x * (4 - x) = 76
[tex]x^{2}[/tex] + 16 - 8x + [tex]x^{2}[/tex] - 12x + 3[tex]x^{2}[/tex] = 76
[tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 3[tex]x^{2}[/tex] - 20x = 76 - 16
5[tex]x^{2}[/tex] - 20x = 60
5[tex]x^{2}[/tex] - 20x - 60 = 0
// divide both sides by 5
[tex]x^{2}[/tex] - 4x - 12 = 0
// write -4 x as a difference, this way it is faster than calculating discriminant
[tex]x^{2}[/tex] + 2x - 6x - 12 = 0
// factor out x and -6 from the expression
x (x +2) - 6 (x +2) = 0
(x - 6) * (x + 2) = 0
// there are two possible cases
1) x - 6 = 0
2) x + 2 = 0
1) x = -2
2) x = 6
// substitute the given value of x into the equation
1) y = 4 - x = 4 - (-2) = 6
2) y = 4 - x = 4 - 6 = -2
Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system
Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6
Evaluate 2(s+t)³-6 when s =3 and t = 2?
Answer:
244
Step-by-step explanation:
We will see that the evaluated expression is equal to 244.
How to evaluate an expression?Evaluating an expression just means that we need to replace the variables by the wanted numbers.
Here we need to evaluate:
2(s+t)³-6
In t = 2 and s = 3, replacing these in the expression we get:
2(3+2)³- 6 = 2*(5)³ - 6 = 2*125 - 6 = 244
So the evaluated expression is equal to 244.
If you want to learn more about evaluating, you can read:
https://brainly.com/question/4344214
EASY MATH QUESTION Urgent pls
Answer:
I don't know that is hard
Step-by-step explanation:
You said this was an easy math question.
Answer:
I think it's b
Step-by-step explanation:
ah=b1+b2/2
h=ax(b1+b2)/2
All changes saved
Shane invested $3,500 in a savings account that pays 4% interest semiannually (every 6 months). How much
money will he have in his account in 5 years?
Answer:
$4,266.48
Step-by-step explanation:
Hope this helps.
What is the lateral area of a right prism which has a lateral edge of 4 inches and has a regular pentagon on base with an edge of 12 inches ?
Answer:
240 inches squared
Step-by-step explanation:
[tex]A=5*4*12=240[/tex]
-35 = -3x + 8 + 5x
Can someone please help me with this math problem
Answer:
22.5 i think
Step-by-step explanation:
-3x + 8 + 5x = - 35
add like terms
2x + 8 = -35
subtract 8 on both sides
2x = 43
divide by 2
22.5
Answer:
22.5
Step-by-step explanation:
add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help
Given the sequence −2,−8/3,−103,−4,−14/3,... find the recursive formula.
A. a1=−2 and an+1=an+5/3
B. a1=−2 and an+1=an+1/3
C. a1=−2 and an+1=an−2/3
D. a1=−2 and an+1=an−5/3
I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term a(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
a(1) = -2,
a(n + 1) = a(n) - 2/3, for n ≥ 1
or C.
If x= 9 in what is the surface area of the geometric shape formed by this net?
Answer:
D
Step-by-step explanation:
Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2
Find the value of x. I WILL GIVE 60!!! POINTS ANSWER QUICK!
Answer:
120 degrees
Step-by-step explanation:
Rsm right?
HELPPPPPP ANYBODY KNOW????
What is the surface area of the triangular prism?
A)
144 cm
cm2
B)
216 cm2
C)
225 cm2
D)
256 cm
what is 4½ pls anwser
Answer:
9/2
Step-by-step explanation:
Answer:
4.5 or 9/2
Step-by-step explanation:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
69
Step-by-step explanation:
2+ x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
READ AND ANALYZE THE PROBLEM. ANSWER
EACH QUESTION
Below.
AT IMER'S GROCERY STORE. PRIDE POWDER
SOAP A
6 PIECES SACHET SELL PHP 28.50
How much tHE COST of EACH SACHET?
1. WHAT IS ASKED? _______
2. WHAT ARE GIVEN FACTS?_____
3.WHAT OPERATION TO BE USED?_____
4. WHAT IS THE NUMBER OF SENTENCE? _______
5. SOLVE, LOOK BACK AND LABEL Your
CORRECT ANSWER. . _____
Answer:
4.75 if you don't have to convert it to US dollars.
Step-by-step explanation:
1. The question is asking how much is the cost of each sachet.
2. One given fact is that 6 pieces of a sachet cost 28.50.
3. Division.
4. Can't tell if you're asking for the equation but 28.50 / 6 = 4.75. Or do 28.50 / 6 = c
5. 4.75.
If they're asking you to convert it into united states dollars:
1. It's asking how much is the cost of each sachet.
2. One given fact is that 6 pieces of a sachet cost 28.50.
3. Division.
4. Can't tell if you're asking for the equation but 28.50 / 49 = 0.58163265306 (0.59 if you round it) Or do 28.50 / 49 = c
5. 0.59.
Tbh I just used g00gle and converted philiphine pesos to USD (United States) dollars, if it's not right, then sorry-
Hope this helped!!
Element X is a radioactive isotope such that every 66 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 240 grams, how much of the element would remain after 29 years, to the nearest whole number?
Answer:
177 grams
Step-by-step explanation:
Answer:
53grams... Approximated
Step-by-step explanation:
In 66 years = 240/2 = 120 grams
In 1 year = 120/66 gram
In 29 years = 120/66 × 29 = 52.73grams
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = -16x + 16
Step-by-step explanation:
You can write a linear equation by getting the slope (m) and y-intercept (b).
To get the slope, you have to (y2 - y1) / (x2 - x1).
Which in this case, I'm going to used points (0,16) and (1,0).
So,
(0 - 16) / (1 - 0) = -16 / 1 = -16
m = -16
Now since we have the slope, the equation would look like y = -16x + b
You then have to input any x and y points (I'm going to use 1,0).
0 = -16(1) + b
0 = -16 + b
b = 16
Put this all together,
y = -16x + 16
Hope this helps :)
Let me know if there is any mistakes!!
Answer:
y = -16x + 16
Step-by-step explanation:
what is ask in the problem
Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?
Answer:
525 $
Step-by-step explanation:
Amount borrowed = $2500
Rate = 7%
Time = 3 years
therefor interest = $2500 X 7/100 X 3
Hope it help You
40 cm
42 cm
What is the length of the hypotenuse?
Answer:
by Pythagoras theorm
H² = B² + P²
H². = 40² + 42²
= 1600 + 1764
= 3364
= 58²
H = 58
hope it helps
Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question
Answer:
I guess 5
Step-by-step explanation:
2 q 0 n 0 d
1 q 1 n 2 d
1 q 3 n 1 d
1 q 5 n 0 d
0 q 3 d 4 n
Find the absolute value.
What is the absolute value of four
Answer:
whats the graph???
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
When it’s an absolute value no matter what it’s inside the braces ( “ | # | “ ) it’s a positive. While the signs outsides can stay the same
Anybody gets this question ???
Answer:
7
Step-by-step explanation:
Can I have Brainliest please?
What is the acronym used to help remind you of the order
used to simplify expressions?
Answer:
I think it's PEMDAS, but I'm not sure- sorry if it's wrong.
Step-by-step explanation:
I need help asap
I will need help finding a and b
Answer:
(a) [tex]s = 2.56[/tex]
(b) [tex]s = 1.71[/tex]
Step-by-step explanation:
Given
Tables (a) and (b)
Required
Determine the standard deviation
For (a):
[tex]\bar x = 11.5[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]
[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]
[tex]s = \sqrt{6.55}[/tex]
[tex]s = 2.56[/tex]
For (b):
[tex]\bar x = 4.4[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]
[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]
[tex]s = \sqrt{2.92}[/tex]
[tex]s = 1.71[/tex]
need help with this tricky question. thanks
Answer:
E
Step-by-step explanation:
find c and round to the nearest tenth
Answer:
C=9.7
Step-by-step explanation:
Haha
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.
Write 1.653 x 10-4 as an ordinary number.
Answer:
Here is the work ive done here, im a professional so i want to make it very easy for you to understand! Here is the answer: https://youtu.be/dQw4w9WgXcQ
Answer:
16530
Step-by-step explanation:
It is the answer..
help!!! it shows the instructions in the picture
Answer:
100:10
36:6
-64:not a real number ig
49:7
81:9
Step-by-step explanation:
how this helps byee
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
