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3 years ago

Please helpp -8x +(-56)=16

Mathematics

2 answers:

Furkat [3]3 years ago

5 0

Answer:

x = -9

-8x + -56 = 16

-8x - 56 = 16

-8x = 16 + 56

-8x = 72

x = 72/8

x= -9

hichkok12 [17]3 years ago

4 0

Answer:

-9

Step-by-step explanation:

-8x + (-56) = 16

Take away -56 from both sides

-8x = 72

Divide both sides by -8

x = -9

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What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line tangent to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)

Then, we have the following system of equations:

$y = 2\cdot x + 3$ (1)

$y = c\cdot x^{2}$ (2)

$c\cdot x = 1$ (3)

Whose solution is shown below:

By (3):

$c =\frac{1}{x}$

(3) in (2):

$y = x$ (4)

(4) in (1):

$y = -3$

$x = -3$

$c = -\frac{1}{3}$

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

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2 years ago

What number is 150 more than the product of 5 and 4892

Serjik [45]

The number that is 150 more than the product of 5 and 4892 is 24700

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2 years ago

PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !

Helen [10]

Answer:

$\huge\boxed{2329 \ \text{pounds}}$

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

We know two points on the graph which we can use to find the slope

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as $\frac{\Delta y}{\Delta x}$ (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is $2212-2017 = 195$ , and the change in x is $48 - 18 = 30$ . Our slope will then be $\frac{195}{30}$ , which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

$y = 6.5x+b$

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.