4x^2+2y=8 and 2x^2=7, then find y

Answers

Answer 1
The value of y is –3

Step 1

Equation obtained from the question.

4x² + 2y = 8 .............(1)

2x² = 7..... (2)

Step 2:

Determination of the value of x².

From equation 2,

[tex]2x^{2} = 7[/tex]

Divide both side by 2

[tex]x^{2} = \frac{7}{2}[/tex]

Step 3:

Determination of the value of y

From equation 1,

[tex]4x^{2} + 2y = 8\\ \\But\\\\x^{2} = \frac{7}{2}\\\\Thus\\\\4(\frac{7}{2}) + 2y = 8[/tex]

Clear bracket

[tex]14 + 2y = 8[/tex]

Collect like terms

Divide both side by 2

[tex]y = \frac{-6}{2}[/tex] y = –3

Therefore, the value of y is –3

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Related Questions

why is 0.71875 a rational number

Answers

Answer:

Because it is terminating.

Step-by-step explanation:

0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.

0.71875 is a rational number because it is a terminating and non-repeating decimal.

What are rational numbers and irrational numbers?

Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers

Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

Now,the given number is 0.71875

Here we see that digits after decimal 71875 stops,

hence the given number can be convert into fraction of the form a/b

So,

0.71875 = 71875/100000

So 0.71875 can be expressed in the form of a/b

Therefore 0.71875 is rational because it is a terminating and non-repeating decimal.

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Find the value of a.
a
52

Answers

Answer:

26

because a is gone in b than

You offered a SALARY job of $43,741, and you are expected to work 44 hours a week.
What would your hourly rate be?

Answers

Answer:

Your hourly rate is about 19.12 (19.1175699301 rounded to the nearest hundredth)

Step-by-step explanation:

44 × 52 = 2288, 43,741 ÷ 2288 = 19.1175699301. Btw we round to the nearest hundredth because you can't have part of a cent

Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Let x be the sum of the following 2000 numbers​

Answers

Answer:

See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160

Answer:

Step-by-step explanation:

First, i divide all terms by 4

sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)

[tex]u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )[/tex]

[tex]\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }[/tex]

Please help explanation if possible

Answers

Answer:

y = 4x-31

Step-by-step explanation:

parallel lines, slope is the same.

two ways to solve it,

y=4x+c

sub y = -11. x =5

-11 = 4(5) + c

c = -31

OR

y-(-11) = 4(x-5)

y+11=4x-20

y=4x-20-11

y=4x-31

Answer:

The equation is y = 4x - 31

Step-by-step explanation:

y - y1 = m (x - x1)

y - (-11) = 4 (x - 5)

y + 11 = 4x - 20

y = 4x - 20 -11

y = 4x - 31

. If a basketball player made 72 of 85 free throws, how many free throws could she expect to make in 200 attempts?

Answers

Answer:

169 of the 200 free throws

Step-by-step explanation:

You would expect her to make at least 169 of the 200 free throws

What is 15+(-11) simpyfied​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

your answer will obviously be 4

find the height of the triangle

Answers

Answer:

Step-by-step explanation:

my day has been going good for you because the height is 9.14 because

Solve Each of the following equations:

|5x|=3

Answers

Answer:

|5x|=3  

5x=3 or 5x=-3  

divide both side by 5  

x=3/5 or -3/5

Step-by-step explanation:

Answer: X = -3/5

X = 3/5

Step-by-step explanation:

-3=5X=3

5X= -3

X= -3/5

5X = 3

X = 3/5

given the functions w( x) =2x+1 and vw(x) =4x²+4x-5,find w¯¹(x) answer meeeee​

Answers

Answer:

Hello,

We don't need vw(x) !

[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]

a kitchen floor is 9 feet long and 6 feet wide. the number of yards of molding needed to old the linoleum around the outside edge is

Answers

Answer:

30 feet

Step-by-step explanation:

The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet

A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

How to find the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) \: \rm unit

A kitchen floor is 9 feet long and 6 feet wide is given.

The molding needed would be equal to the perimeter of the kitchen floor.

The perimeter of the kitchen floor = 2 (9+6)

The perimeter of the kitchen floor = 30 feet

Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

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What is (-5) the 2 is an exponent just so you know

Answers

Answer:

25

Step-by-step explanation:

(-5)^2

(-5)*(-5)

25

Answer:

25

Step-by-step explanation:

(-5)^2 = 25, since -5 x -5 is 25.

Now, if the -5 hadn't been in parenthesis, -5^2 would be read as -(5 x 5), and would equal -25.

Brainliest, please! I'm so close to becoming an Expert!

do any of you know how to do this?
-6(x + 6) + 7 = -7(-5 + 2x)​

Answers

The answer should be x=8 if you are looking for what x is

Let a and b be numbers. Use the distributive law to rewrite the expression in a simpler form. a(a+b) =

Answers

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

Step-by-step explanation:

a(a+b)

in this question first a will multiply by a+b.

like this;

a(a+b)

= a(a)+ab

= a^2+ab

The simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]

Distributive law states that for any numbers a, b, and c :

a(b + c) = ab + ac

Expression: a(a + b) rewrite it using the distributive law to simplify it.

1. Start with the expression a(a + b).

2. Apply the distributive law by multiplying the 'a' outside the parentheses by each term inside the parentheses:

a(a + b) = a * a + a * b

3. Simplify by multiplying:

a(a + b) = [tex]a^2 + ab[/tex]

Therefore, the simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]

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"Two-thirds of a number increased by seven."

Answers

Answer:

(2/3)n + 7

Step-by-step explanation:

Represent the number by n.

Then "two thirds of (that) number" is (2/3)n.

Finally, we add 7:

"Two-thirds of a number increased by seven" is (2/3)n + 7

7/3 = 7 ÷
7 divided by blank equals 7/3
please help ?

Answers

Answer:

7/3 = 7 ÷  7 ÷ 3/7 (i think)

Step-by-step explanation:

check mathpapa.com

https://www.mathpapa.com/algebra-calculator.html

Name the marked angle in 2 different ways.

Answers

Answer:

Step-by-step explanation:

<CDE or <EDC

Describe 2 or 3 things in your everyday life that use geometry.

Answers

1) Art

2) Sports

3) Nature

a² = 3 and a² - 1 = 1 find the value of a​

Answers

Answer:

No solutions to the problem

Step-by-step explanation:

Wolfram Alpha for more info

find the inverse f⁡(x)=2⁢x/x+3 x≠-3

Answers

Answer:

f^(-1)(x) = 3x/(2-x)

Step-by-step explanation:

f(x) = 2x/(x+3)

f(x)*(x+3)=2x

x(2-f(x))=3f(x)

x=3f(x)/(2-f(x))

f^(-1)(x) = 3x/(2-x)

Prime factorization of 797​

Answers

Answer:

Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors

I need help ASAP!!!PLEASE EXPLAIN HOW TO SOLVE THE PROBLEM

Answers

hopefully this answer can help you to answer the next question

plssssssssssss helppppppppppppp i want it now ​

Answers

Answer:

0.35 * 1000 = 350

1.2 * 1000 = 1200

Answer:

We know:

1 l = 1000 ml

Covert the given l to ml:

(a)

0.35 l = 0.35 * 1000 ml = 350 ml

(b)

1.2 l = 1.2 * 1000 ml = 1200 ml

How do I solve this problem?

Answers

Answer:

y+11=-[tex]\frac{1}{4}[/tex](x-4)

Step-by-step explanation:

since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-[tex]\frac{1}{4}[/tex](x-4)

Which of the following is equivalent to the logarithmic equation below
In x= 4

Answers

Answer:

The answer for this question is C

9. What is the area of the given triangle? Round to the nearest tenth. (1 point) A 7 cm 38° B 13 cm C Area = cm2​

Answers

Answer:

Area = 13.5 cm^2

Step-by-step explanation:

When we know 2 sides and the included angle

the area is  =(½)ab sin C

where a and b are the side lengths and C is the angle between them

Area = 1/2 ( 13*7) sin 38

Area = 13.48477

Rounding to the nearest tenth

Area = 13.5 cm^2

BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
numerical expression to describe the area of Shenandoah's bedroom.

Answers

Answer:

(12 x 7) feet2

Step-by-step explanation:

formula of area= length times breadth

The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.

Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.

The area of the rectangle is the product of its width and length.

Area = L x W

The expression for Shenandoah's bedroom area will be written as below:-

Area = 12 x 7

Area = 84 square feet

Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

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factorise X^2 + 4xy - 4y^2- 9z^2​

Answers

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2

Is it equivalent? please show work so i can write it

Answers

No, because

2(y + 1,5)  = 2 · y + 2 · 1,5 = 2y + 3

2y + 3 ≠ 2y + 1,5

Answer:

No

Step-by-step explanation:

2 ( y + 1.5 ) = 2y + 3. Not 2y + 1.5

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