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3 years ago

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If y=6 when x=2/3 find x when y=12

2 answers:

motikmotik3 years ago

7 0

Y=6 x=2/3
y=12 x=?
6*2=12, 2/3*2=?
?=2*2/3
?=1 and 1/3

Darya [45]3 years ago

5 0

X would equal 4/3 when y equals 12. Since y is doubling you can double the other side as well. So you simply do 2/3*2, to get 4/3.

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If (ax + 2)(bx + 7) = 15(x*2) + cx + 14 for all values of

Juli2301 [7.4K]

If (ax + 2)(bx + 7) = 15(x $*$ 2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.

<h3>What is meant by linear equation?</h3>

A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.

Let the equation be

(ax + 2)(bx + 7) = 15 $$$x^2$ + cx + 14

(ax + 2)(bx + 7) = ab $$$x^2$ + 7ax + 2bx + 14 = ab $$$x^2$ + (7a + 2b) + 14

On comparing both equations

ab = 15 ------ (1)

7a + 2b = c -------(2)

Also, it is given that a + b = 8 --------(3)

From equations (1) and (3) it can be observe that either a or b equal to 3 or 5

From equation (2),

When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31

When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41

Therefore, the correct answer is option D) 31 and 41

To learn more about linear equation, refer to:

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7 0

2 years ago

Let f(x) = 2x + 8, g(x) = x² + 2x – 8, and h(x)

klio [65]

The answer is (g-f)(2)

4 0

3 years ago

– За + 8 = 14<br> what’s the answer

LenKa [72]

Answer:

a = -2

Step-by-step explanation:

1. 14- 8 = 6

2. 6/-3 = -2

7 0

4 years ago

Read 2 more answers

What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?

Volgvan

$\huge\text{Hey there!}$

$\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}$

$\mathsf{(-2)^3=\bf -8}$

$\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}$

$\mathsf{3^2=\bf 9}$

$\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}$

$\mathsf{-8(9)= \bf -72}$

$\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}$

$\mathsf{\dfrac{-72}{6}=\bf -12}$

$\mathsf{= -12+(-2)^2(3^2)}$

$\mathsf{-2^2=\bf 4}$

$\mathsf{= -12+4(3^2)}$

$\mathsf{3^2=\bf 9}$

$\mathsf{= -12+4(9)}$

$\mathsf{4(9)= \bf 36}$

$\mathsf{-12 + 36 = \bf 24}$

$\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

5 0

4 years ago

The mean if a set of data is 45 years. Find the missing numbers in the data set{ 40,45,48,?,54,?,45}. Explain the method you use

Alex Ar [27]

It is simple all you do is make a list of them and that would be (40, 41, 42, 43, 44,45, 46, 47, 48, 49, 50)

7 0

4 years ago