[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]
What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required
Step 1: Trying to factor as a Difference of Squares:
Factoring: x²⁰⁰² - 1
Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B²
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check: x²⁰⁰² is the square of x¹⁰⁰¹
Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)
which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2
1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)
===========================================================
Explanation:
Lets go through the points one by one
So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality
[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]
We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.
[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]
That's also true. Therefore, the point (5,3) is a solution to the system overall.
Your teacher wants you to find a non-solution, so we must cross choice A off the list.
---------------------
Let's now try choice B. We have x = 4 and y = 3
[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]
That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.
30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = the the whole secant times the outside part of the secant.
EG²= (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 + EC
Now ED = EC + CD
26 = 6.5 + CD
26 - 6.5 = CD
19.5 = CD
help please?????????
Answer:
A, to B, to D,
or A, to E, to C, to D
Step-by-step explanation:
PLS HELP ILL MArk BRAINLIEST!!
960 cubic ft
Step-by-step explanation:
I'm just super smart looool
1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.
2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.
3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.
4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.
5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.
1. This is a ratio question in disguise.
By parts of the question: "When y varies directly with x" -> y/x
"if y=8 when x=4" -> y/x = 8/4
"how do you find y when x=5" -> y/x = 8/4 = y/5
so -y = 8x5/4 = 10
That's all i got..
A restaurant customer left $2.60 as a tip. The tax 6% was and the tip was 20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
Based on the tip left and its proportion of the total bill, the following answers are true:
a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00A tip of $2.60 was left and this is said to be 20% of the bill including the tax.
The total bill is therefore:
Tip = Total bill x 20%
2.60 = Total bill x 20%
Total bill = 2.60 / 20%
= $13.00
We can see that the tax rate was not needed to compute the total bill.
In conclusion, the tax rate was irrelevant and the total bill was $13.00.
Find out more about taxes and tips in bills at https://brainly.com/question/24976122.
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
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please help me asap ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty tyt ty ty
this is like the other question i just posted, but this one is subtraction instead of addition..
Answer:
y = x/2 + -3
Step-by-step explanation:
x - 2y = 6
Subtract x from both sides
-2y = -x + 6
Divide both sides by -2
y = x/2 + -3
Answer:
y = 1/2x - 3
Step-by-step explanation:
Subtract x both sides
-2y = 6 + (-x)
Divide -2 both sides
y = -3 + 1/2x
y = 1/2x - 3
2.5 times 1.75 times 2.49
Answer:
The answer to this equation is 10.89375
What is the value of x? Leave your answer in simplest radical form.
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
Please help me solve for n
To solve for N, you have to work backwards
1. Take off the absolute sigh
the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative
2. What is 1x6?
This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.
3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.
I hope this helped! If it's wrong blame me!
Omar bought N packages of pencils each package had 15 pencils write an equation P to represent the total number of pencils Peque Omar bought.
I need Helppppp!!!!
plizzzz
Answer:
N x 15 = P
Step-by-step explanation:
add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2
Answer:
8x² - 5y² + 5xy
Step-by-step explanation:
8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy
What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?
Answer:
y=4x+18
Step-by-step explanation:
HOPE THIS HELPS :)
Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
By doing the rise over run, the slope is 1
The y - intercept is 2
You plug the numbers in the equation y = mx + b
y = x + 2
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
a. Find the 100th term when the first term is -3 and the common difference is 4.
b. Find the 3rd term when the first term is 2 and the common difference is 5.
c. Find the 7th term when the first term is -1 and the common difference is 10.
d. Find the 5th term when the first term is 7 and the common difference is -2.
Answer:
Find the 100th term when the first term is -3 and the common difference is 4.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the 100th term when the first term is -3 and the common difference is 4. I took the test and got 100 percent.
Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?
1. The quotient is 0.5.
2. She will use 0.7m long for each frame.
3. Each child received 0.71 Php.
4. Each son will receive 0.85 hectares.
5. Each bag contains 0,93 kilos.
1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X
3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X
Learn more about maths in https://brainly.com/question/25927059
Does anyone know this?
Blank #1____
Blank #2____
Blank #3____
Blank #4____
Answer:
12x2x8xStep-by-step explanation:
Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.
(Blank 1) × 1 = 1 ⇒ (Blank 1) = 1
(Blank 2) × 8x = 16x² ⇒ (Blank 2) = 16x²/(8x) = 2x
(Blank 3) = (Blank 1) × (Blank 2) ⇒ (Blank 3) = 1 × 2x = 2x
(Blank 4) = 8x × 1 = 8x
Answer:
1. 1
2. 2x
3. 2x
4. 8x
Step-by-step explanation:
Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?
Answer:
5.2
Step-by-step explanation:
ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.
(-5, 10) (-5, 9) What is the slope?
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-10)/(-5-(-5))
m=-1/(-5+5)
m=-1/0
undefined
Since the slope is undefined, this is a vertical line.
Answer:
undefined
Step-by-step explanation:
Ok, we will use the formula:
[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]
The points (-5, 10) is our one, making -5 x1 and 10 y1
The points (-5, 9) is our two, making -5 x2 and 9 y2
now we add them into our formula
[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex] = undefined
Hope this helps. Check with someone else to make sure. <3
The budget $_________ per guest
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40
Answer:
i think x = -7, y = -6
Step-by-step explanation:
good luck
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
A mosquito flies at a speed of 40.2 meters per minute.
At this rate, how many meters can it fly in 5 minutes?
PLZ HELP
Answer:
201
Step-by-step explanation:
40.2*5=201
201 meters per minute
A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate. How many minutes does it take the farmer to pick 56 oranges?
Answer:
it takes the farmer 14 minutes to pick 56 oranges.
Step-by-step explanation:
8 Oranges in 2 minutes. To find the number pick in 1 minute, we need to divide the number picked by the amount of time it took.
8/2=4
Now we know the farmer picks 4 oranges in a minute. So to fid how many minutes it took to pick a certain number of oranges, we need to divide that number by four.
56/4=14
I takes 14 minutes for the farmer to pick 56 oranges.
The farmer picks the 56 oranges in 14 minutes.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As given in the question, A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate is to be determined.
unit rate of picking oranges = 8 / 2 = 4 oranges per minute
Now,
Time to pick 56 oranges = 56/4
= 14 oranges
Thus, the farmer picks the 56 oranges in 14 minutes.
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Does any one mind helping me on this question I have struggle solving it
-1=0
0.5=4.5
3=3.1
this is the answer
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3
The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32
is that two problems in one?