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3 years ago

If the measure of Angle AXC=8x-7 and Angle AXB = 3x+10 find the measure of ANGLE AXC

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

I’m to lazy to figure out this question

s2008m [1.1K]3 years ago

5 0

Answer: you lazy is is <DXA.

Step-by-step explanation:

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Help again please!!!! Math problem

KATRIN_1 [288]

2x4=8 2x2=4 4+8=12, so it is A

4 0

3 years ago

Read 2 more answers

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.

nikdorinn [45]

Answer:

The equation does not have a real root in the interval $\rm [0,1]$

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if $f$ is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in $\rm [0,1]$ , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval $\rm [0,1]$ , which means to evaluate the equation in 0 and 1:

$f(x)=x^3-3x+8\\f(0)=8\\f(1)=6$

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval $\rm [0,1]$ . I attached a plot of the equation in the interval $\rm [-2,2]$ where you can clearly observe how the graph does not cross the x-axis in the interval.

6 0

3 years ago

What's the square root of 0.4 repeating

avanturin [10]

The answer depends on knowing that 0.4444.... is equal to 4/9;
<span>the square root of 4/9 is 2/3 = 0.6666....</span>

6 0

3 years ago

A scientist estimated that a mixture would need 4 milliliters of a chemical to balance. The actual amount needed was 7 millilite

Butoxors [25]

42.86% error was in the scientist's estimation.

Step-by-step explanation:

Given data;

Approx amount = 4 ml

Exact amount needed = 7 ml

Percentage error = $\frac{|Approx-Exact|}{Exact}*100$

$Percentage\ error=\frac{|4-7|}{7}*100\\Percentage\ error=\frac{|-3|}{7}*100\\Percentage\ error=\frac{3}{7}*100\\\\Percentage\ error=\frac{300}{7}\\Percentage\ error= 42.86\%$

42.86% error was in the scientist's estimation.

Keywords: error, percentage

Learn more about percentages at:

#LearnwithBrainly

6 0

3 years ago

Read 2 more answers