Find the value of x in the equation 2 x + 20 = 15 + 3 x .a. 16
b. 25
c. 1
d. –5

Answers

Answer 1
Answer: x=5 are you sure d) is -5 ?
Answer 2
Answer: 2x+20=15+3x
x=5
GoodLuck!

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The value of X and Y vary directly, and when X= 4 Y equals -10. Find the value of Y when X equals 10.

Answers

y = - 25

since x varies directly with y then we can express the relationship as

x = ky ← k is the constant of variation

to find k use the given condition y = - 10 when x = 4

k = (x)/(y) = (4)/(-10) = - (2)/(5)

hence x = - (2)/(5) y

when x = 10

10 = - (2)/(5) y

multiply both sides by - 5 and divide both sides by 2 )

- 50 =  2y ⇒ y = - 25


Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

3 x^(2) + x + 10 = 0
x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}
x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}
: . x =  \frac{-1 +  \sqrt{-119} }{6}   OR   x = (-1 - √(-119) )/(6)

Thus the roots or the solutions to this equation are imaginary because the discriminant √(-119) is negative and a negative number is undefined when rooted. 

PLEASEEE HELP. Solve x^3-7x^2+6x-42=0

Answers

factor by grouping

x^2(x-7) + 6(x-7) = 0   [took x^2 out of the first two and a 6 out of the last two]
(x-7)(x^2+6) = 0     [moved (x-7) out to the front]
x = -i sqrt(6) , i sqrt(6) , 7

only one real solution of x = 7
x^(3) -7 x^(2) +6x-42=0

(x-7) is a factor since it is a factor of -42 and 7 is a solution for f(x) to equal 0.

(x-7)(a x^(2) +bx+c)=0

(x-7)( x^(2) +bx+6)=0

-7 x^(2) +b x^(2) =-7 x^(2)

-7+b=-7

b=0

(x-7)( x^(2) +6)=0

x-7=0

x^(2) +6=0

x=7 (only solution because you can't square root (-6))


Find x. need help w these 2 questions in the pic, thanks!

Answers

Hello,

d)

The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:

x=70°

e)

There is a rectanglar triangle with a angle of 64°

The complement is 90°-64°=26°

The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°

So x=13°

I hope i have used the right words in my answer.

If x ¤ y = (x + y)² - (x - y)²
Then √5 ¤ √5 =

Answers

x\ \diamond\ y=(x+y)^2-(x-y)^2=x^2+2xy+y^2-(x^2-2xy+y^2)\n\n=x^2+2xy+y^2-x^2+2xy-y^2=4xy\n\n\sqrt5\ \diamond\ \sqrt5=4\cdot\sqrt5\cdot\sqrt5=4\cdot5=20

Factor completely x2 + 16.(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C, Prime.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.


The given expression is a prime function, therefore, its factorisation is not possible. Hence, the correct option is C, Prime.

Learn more about Expression:

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It's prime because the constant term is positive and there is no middle term. If it were x^2 - 16, we could use (x+4)(x-4), but because 16 is positive, it cannot be factored