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AlexFokin [52]
3 years ago
12

What is the first step in solving this system of equations?

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Step-by-step explanation:

Multiply the first equation by 7 and the second by 2

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What does 5/4x = 1/2
aleksklad [387]
You would multiply 4 on both sides
5x=2
then you would divide 5 on both sides
x=2/5
7 0
3 years ago
Given f(x) = (lnx)^3 find the line tangent to f at x = 3
kirill [66]
Explanation

We must the tangent line at x = 3 of the function:

f(x)=(\ln x)^3.

The tangent line is given by:

y=m*(x-h)+k.

Where:

• m is the slope of the tangent line of f(x) at x = h,

,

• k = f(h) is the value of the function at x = h.

In this case, we have h = 3.

1) First, we compute the derivative of f(x):

f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.

2) By evaluating the result of f'(x) at x = h = 3, we get:

m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.

3) The value of k is:

k=f(3)=(\ln3)^3

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

y=(\ln3)^2*(x-3)+(\ln3)^3.

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

y=(\ln3)^2*(x-3)+(\ln3)^3

6 0
1 year ago
A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?
ivanzaharov [21]

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

5 0
3 years ago
Read 2 more answers
Two Parallel lines are cut by a transversal x and a transversal y so that x and y intersect at point Q as shown.
saw5 [17]

Answer:

- Angle 'a' is an alternating exterior angle with one angle in the triangle and therefore congruent to one angle in the triangle formed by lines m, x, and y.

- Angles 'b' and 'c' are vertical angles with the other two angles in the triangle and therefore congruent to two other angles in the triangle

Step-by-step explanation:

Vertical angles are angles that are equal to each other but in opposite direction. The angles b and c have vertical angles on the triangle Q while alternate exterior angles are equal angles that lie on different lanes cutting through an axis.

Angles on a plane can be congruent if they are vertical equals or alternating exterior angles.

8 0
3 years ago
Help now pleaseeee!!!
Sliva [168]

Answer:

Step-by-step explanation:

Whitxh answer are u tryna get?

5 0
3 years ago
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