The value of solution of equation is,
⇒ x = ±1 and x = ±√2
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Expression is,
⇒ x⁴ - 3x² + 2 = 0
Now, We can plug x² = u in above equation and solve as;
⇒ x⁴ - 3x² + 2 = 0
⇒ u² - 3u + 2 = 0
⇒ u² - 2u - u + 2 = 0
⇒ u (u - 2) - 1 (u - 2) = 0
⇒ (u - 1) (u - 2) = 0
⇒ u = 1
⇒ u = 2
Plug x² = u
⇒ x² = 1
⇒ x = ±1
⇒ x² = 2
⇒ x = ±√2
Thus, The value of solution of equation is,
⇒ x = ±1 and x = ±√2
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Solve for x.
-3x + 50 = 101
-3x + 50 = 101
-50 -50 subtract 50 from both sides, 50's cancel out from the left.
___________ solve for 101 - 50.
-3x = 51
___ ___ divide -3 on both sides, -3's cancel out on the left.
-3 -3 solve for 51 ÷ -3.
x = -17, is the answer.
Hope this helps! Let me know if you have any other questions related to this problem. :)
A right triangle has a leg that is 2.70 m long and a hypotenuse that is 7.76 m long. What is the length of the other leg of the triangle in meters using the rules for significant digits?
Applying the Pythagorean Theorem and using the rules of significant digits, the length of the other leg of the right triangle is approximately 2.61 meters.
Recall:
Pythagorean Theorem is given as: [tex]a^2 + b^2 = c^2[/tex]a and b are the two other legs of a right-angled triangle, while c is the hypotenuse.Using the Pythagorean Theorem, we are going to find the length of the other leg of the triangle that has:
a = 2.70 m (a leg)c = 7.76 m (hypotenuse)Substitute and find the value of b (the other leg).[tex]2.27^2 + b^2 = 7.76^2\\\\b = \sqrt{7.76^2 - 2.27^2} \\\\b = 2.607[/tex]
Therefore, applying the Pythagorean Theorem and using the rules of significant digits, the length of the other leg of the right triangle is approximately 2.61 meters.
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Help ASAP- I dont understand!!!
Is the relation below a function? If it is a function, state its domain.
{(0,2),(2,4),(1,7),(2,5)}
A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}
C. The relation is a function. The domain is {2,4,5,7}
D. The relation is a function. The domain is {0,1,2,4,5,7}
Answer:
A
Step-by-step explanation:
The relation is not a function. All you need to solve this problem is the following: Relations are NOT functions when the domain values repeat!
Note: The domain is the set of input values. The domain is x, the first number in the pair. For example, in the pair (0, 2), the domain is 0.
In the relation {(0,2),(2,4),(1,7),(2,5)}, 2 is repeated two times, which, by definition, means that the relation is not a function.
solve pls brainliest
Answer:
[tex]2.06[/tex]
Step-by-step explanation:
Divide 33 by 16.
[tex]2.0625[/tex]
6 is in the hundredth place. If you look at the thousandth place, a 2 is placed there, rounding [tex]2.0625[/tex] to [tex]2.06[/tex] in the hundredth place.
Hence, the answer is [tex]2.06[/tex].
Use the following diagram to answer questions
9514 1404 393
Answer:
ΔDEH ~ ΔGEF∠G = 89°∠F = 22°Step-by-step explanation:
17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...
ΔDEH ~ ΔGEF
__
Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...
∠D ≅ ∠G = 89° . . . . answer to 17b
∠E ≅ ∠E = 69°
∠H ≅ ∠F = 22° . . . . answer to 17a
_____
Additional comment
The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.
Orderd pairsY=1/3×-6
Answer:
Step-by-step explanation:
2x - 3 = x + 5 and y + 1 = 7
⇒ 2x - x = 5 + 3 ⇒ x = 8 and y = 7 - 1 ⇒ y = 6
what is 25% of 32
explain please
Answer:
25% of 32
[tex] \frac{25}{100} \times 32 \\ = 8[/tex]
Suppose a stock is selling on a stock exchange for 6 3/4 dollars per share. If the price increases 3/4 per share, what is the new price of the stock? Leave your answer as a proper fraction or mixed number.
Step-by-step explanation:
If the price increases 3/4 per share, the new price of the stock =
6¾ + ¾ =
27 /4 + ¾ =
30 /4 =
15/2 or 7½
The new price of the stock which increases 3/4 per share is $ 7 1/2.
Given data:
A stock is selling on a stock exchange for 6 3/4 dollars per share.
If the price of the stock increases by 3/4 dollars per share, you can add 3/4 to the current price of 6 3/4 dollars per share:
6 3/4 + 3/4
To add the whole numbers and fractions separately:
6 + 0 + 3/4 + 3/4
Adding the whole numbers and fractions:
6 + 1 1/2
A = 7 1/2
Hence, the price of the new stock is $ 7 1/2
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8/5 divided by -0.35
Answer:
-4.57142857143 rounded to -4.57 or -4.6
Step-by-step explanation:
calculator
2/8+3/8=______ whole
Answer:
5/8
Step-by-step explanation:
please help
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Answer:
Hope this helps :)
Step-by-step explanation:
x+x-13=88
2x-13=88
2x-13+13=88+13
2x=101
101/2 = 50.5
fraction in simplest form: 2/3 + 1/12
Answer:
3/4
Step-by-step explanation:
In how many ways can 5 people sit in 5 chairs if Frankie and Johnny want to sit next to each other?
Answer:
48
Step-by-step explanation:
If Jamar can ride his bike 10 miles in 1 hour, how far can he ride his bike in 2 hours? How far did he go in 36 mins?
Answer:
Jamar can ride his bike 20 miles in 1 hour.
He went 6 miles in 36 minutes.
f(x) = x² + 10
What is the average rate of change of f over the interval [ -2,-1?
Answer:
-3
Step-by-step explanation:
f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)
f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)
(11-14)/(-1-(-2)) = -3/1 = -3
Edna has a box of chocolates. There are 36 chocolates in the box, and one-ninth of them
contain nuts. How many chocolates in Edna's box contain nuts?
Answer: 4
Step-by-step explanation:
[tex](36)(\frac{1}{9} )[/tex]
= 4
please give me a brainliest answer
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Eighth grade
Y.10 Solve one-step and two-step equations: word problems HCP
Tutorial
Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers
a group rate for students that is $4 less per person than the normal cost. There are 27
students in Brad's science class. His teacher called ahead and found that the total cost for the
class will be $378. What is the normal cost per person?
Submit
Answer: 69.3
Step-by-step explanation: when u see 27 you divied by 378 end get 4 finel answer 4!
HELP ME PLZ PEOPLE!!
Answer:
I may be wrong but i think it's -27
Step-by-step explanation:
-3 ( p - q) exponet of 2
Pemdas : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Parentheses
-3 (p - q) exponet of 2
-3 ( 5 - 2 ) exponet of 2
-3 ( 3 ) exponet of 2
Exponents
-3 ( 3 ) exponet of 2
-3 ( 3 ) exponet of 2 = -3 (3 x 3 = 9)
-3 (9)
Multiplication
-3 (9)
Answer: -27
What is 2 1/8 as an improper
fraction?
the number that are being multiplied are called as.................
Answer:
Factors
Step-by-step explanation:
Factor*factor=product
Answer:
The numbers to be multiplied are generally called the "factors". The number to be multiplied is the "multiplicand", and the number by which it is multiplied is the "multiplier". ... The result of a multiplication is called a product.
Step-by-step explanation:
help me please. thank you if you do.
is -29 a whole number, integer, or rational number
Answer: its a integer...
Step-by-step explanation: it cant be a whole number its negitive and also doesn't look like a rational number those are mostly fractions decimals ect its prob a interger
I have 50 questions to complete in 45 minutes. How much time per question can I have in order to complete all 50 questions in 45 minutes?
Answer:
54 Seconds per question
Step-by-step explanation:
45/50*60
Solving systems of equations by substitution 2x - 3y = 19
x - 2y = 11
Answer:
[tex]\boxed {\boxed {\sf (5, -3)}}[/tex]
Step-by-step explanation:
We are asked to solve the system of equations by substitution. We must isolate a variable and plug it into the other equation.
We are given these 2 equations;
[tex]2x-3y=19[/tex]
[tex]x-2y=11[/tex]
1. Isolate a Variable
We can easily isolate x in the 2nd equation. 2y is being subtracted from x. The inverse operation of subtraction is addition. Add 2y to both sides of the equation.
[tex]x-2y+2y=11 +2y \\x= 11+2y[/tex]
2. Substitute and Solve for y
x is equal to 11 + 2y, so we can substitute this expression in for x in the 1st equation.
[tex]2x-3y=19[/tex]
[tex]2(11+2y)-3y=19[/tex]
Now we can solve for y by isolating the variable First, distribute the 2. Multiply each term in parentheses by 2.
[tex](2*11) + (2*2y) -3y = 19[/tex]
[tex]22 + 4y-3y = 19[/tex]
Combine the like terms.
[tex]22+y=19[/tex]
22 is being added to y. The inverse operation of addition is subtraction. Subtract 22 from both sides of the equation.
[tex]22-22+y=19-22\\y= 19-22 \\y= -3[/tex]
3. Solve for x
We know that y is equal to -3, so we can plug it back into either original equation and solve for x. Let's use the 2nd equation.
[tex]x-2y=11[/tex]
[tex]x-2(-3)=11[/tex]
Multiply -2 and -3.
[tex]x+6=11[/tex]
6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
[tex]x+6-6=11-6\\x=11-6 \\x=5[/tex]
We found that y=-3 and x=5. Coordinate points are written as (x,y), so the solution for this system of equations is (5, -3).
what is the GCF of 8 and 10
Answer:
2
Step-by-step explanation:
Calculate the prime factors of 8 and 10, than find the greatest common factor (greatest common divisor (GCD)) of the numbers by matching the biggest common factor of 8 and 10.
8 = 1, 2, 4, 8
10 = 1, 2, 5, 10
The Greatest Common Factor of both numbers is 2,...
Chow,...!
8: Two supplementary angles have measurements of (3x)" and (10x - 15)°. What are the measures of the
two angles?
A 45° and 135°
B 25° and 65°
C 15° and 165°
D 30° and 60°
Is 47 an answer choice
Answer:
45 and 135 A
Step-by-step explanation:
3x + (10x - 15) = 180
Jesse buys a necklace that is on sale for 25% off the original price is 119.50 if tax is 7% what is the total price that Jesse will pay for the necklace
Answer:
$95.89875
Step-by-step explanation:
The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.
So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.
The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.
If we round this to the nearest cent, it should be $95.9.
Can someone explain how you do this and not only give me the answer so I could know the formula?
Answer: 9/7 or 1 2/7
Step-by-step explanation:
Multiply 4 by the denominator and add 1:
29/7
Multiply 2 by seven (denominator) and add 6:
20/7
29/7 - 20/7 = 9/7
9/7 = 1 2/7
7 fits one time into nine and 2 is left.
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Amer bought 12 pounds of apples for $6. Use a ratio table to find the cost of buying 10 pounds of apples.
Answer:
$5
Step-by-step explanation:
12 pounds = $6
1 pound = $6/12
1 pound = $0.50
10 pounds = $0.50 x 10
10 pounds = $5.00
-Chetan K
Question 33
Suppose 96 % of students chose to study Spanish their junior year, and that meant that there were 696 such students. How many students chose
not to take Spanish their junior year?
Answer:
110
Step-by-step explanation:
If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...
88 : 12 = 22 : 3
Then the number of students who did not study Spanish is ...
(22/3)×15 = 110 . . . . did not study Spanish
22:3 is a reduction of the ratio 88:12, by factoring 4 from each number. 15 is the number of students corresponding to 12% of the class. It is found in the problem statement. Essentially, we're saying that we want to know the number of students in the other 88% of the class, given that 15 students make up 12% of the class. There are many ways to write equations for this. I think this proportion is the easiest to think about.
If F is the size of the freshman class, and n is the number Not studying Spanish, you have 12%·F = 15, and 15 + N = F. You can solve the first equation for F, then the second equation for N, which is what you really want to know. F = 15/.12 = 125; N = F -15 = 125-15 = 110.
These two equations are reasonably straightforward, but to my lazy way of thinking, it is an extra equation and an extra calculation that are not needed to get to the answer.
You don't need to reduce the ratio from 88/12 to 22/3 to work the problem using ratios. The only reason for doing that is so there is a 3 in the denominator that cancels a factor of 3 in 15, so the only math you really need to do is 22·5 = 110. It helps immensely to know your multiplication tables, and to be able to recognize multiples of 2 and 4.
Step-by-step explanation:
percentage of students not to take spanish is 4%
answer is 696*4/100=27.84
so 28 students not to take spanish