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2 years ago

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the

Mathematics

1 answer:

Alik [6]2 years ago

8 0

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation $y=-10x+17$ , ie is always decreasing (easy to spot applying the definition)

Meanwhile, $y=e^{5x}$ is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation $y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2$ which has no real solutions.

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31 days x 160 residents=

k0ka [10]

Answer:

4960?

Step-by-step explanation:

31 times 160 = 4960

5 0

2 years ago

The ratio of boys to girls in a class is 4:3. there are 9 girls. how many boys are in the class?

aalyn [17]

For every 3 girls, there are 4 boys. if there are nine girls, that expands to three extra boys, because for every three theres an extra one. so there are 12 boys (9+3.) the final ratio, boys to girls, is 12:9.

6 0

2 years ago

A convex parabola is shown in a coordinate plane. The parabola connects the points left-parenthesis negative 4.5 comma 12 right-

spayn [35]

Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.

To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:

$A. (- 3 - 3)(3 + 4) = -42$

$B. (-3 + 3)(-3 - 4) = 0$

$C. (-3 + 2)(-3 - 4) = 7$

$D. (-3)(-3 + 12) = -27$

We can see that Choice B is the correct function, because it produces 0 when we substitute $x = - 3$ . Thus, Choice B, or (x + 3)(x - 4) is the answer.

8 0

2 years ago

I am having trouble 2(10-13x)=-34x+60

morpeh [17]

Simplifying 2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms: 20 + -26x = 60 + -34x
Solving 20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x 20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0 20 + 8x = 60 + 0 20 + 8x = 60
Add '-20' to each side of the equation. 20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0 0 + 8x = 60 + -20 8x = 60 + -20
Combine like terms: 60 + -20 = 40 8x = 40
Divide each side by '8'. x = 5
Simplifying x = 5

7 0

2 years ago

Will marke as bianleast Find the LCM of 6 and 10. 2 30 20 60

nataly862011 [7]

Answer: 30 is the least common multiple of 6 and 10.

Step-by-step explanation:

30/6= 5

30/10= 3.

4 0

2 years ago

Read 2 more answers