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3 years ago

(picture) is this the correct way to solve 19?

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

8 0

I cant see your work very clearly so I'll work it out below:-

f(x + Δx) = (x + Δx)^2 - 2(x + Δx) - 3

= x^2 + 2x(Δx) + (Δx)^2 - 2x - 2(Δx) - 3

= x^2 - 2x + (Δx)^2 + 2x(Δx) - 2(Δx) - 3

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What is the equation of this line?<br><br>A: y=-3/2x<br>B: y=2/3x<br>C: y=-2/3x <br>D: y=3/2x

creativ13 [48]

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: $\frac{y_2-y_1}{x_2-x_1}$

I will be using (3,2) and (-3,-2) to find the slope:

$m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}$

$y = mx + b\\y = \frac{2}{3}x+b$

(3,2)

$y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b$

$y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x$

Hope this helps!

8 0

2 years ago

There are two consecutive positive even integers such that the square of the first is 364 more than five times the second. What

xxMikexx [17]

Answer:

Step-by-step explanation:

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second. What are the two numbers?

Two consecutive year positive integers are represented by

x and x + 1

First integer = x

Second integer = y

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second.

This is represented mathematically as:

x² = 364 + 5(x + 1)

x² = 364 + 5x + 5

x² -5x -5 - 364

x² - 5x - 369

6 0

3 years ago

Please help me answer this question.

Alex787 [66]

1. Change x = 4t into x = 3t

$4t\cdot\frac{3}{4}=3t$ so

$y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1$

Answer A and D are wrong.

2. Change x = 4t into x = 2t

$4t\cdot\frac{1}{2}=2t$ and

$y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1$

Answer b is correct.

3. Change x = 4t into x = 8t

$4t\cdot2=8t$ and

$y=(2t)^2-1=4t^2-1$

Answer C. is correct, E. is wrong.

7 0

3 years ago

Answer this question!!!!!!!

Vesnalui [34]

The expression can represent the value of x in terms of R, m, n and k after rearranging.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

$\rm R = 4m\sqrt{\dfrac{xn}{k^3}}$

Square both side:

$\rm R^2 = 16m^2{\dfrac{xn}{k^3}}$

16m² x n = R²k³

x = (R²k³)/(16m²n)

The above expression represents the value of x in terms of R, m, n and k.

Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

8 0

2 years ago

Rewrite the expression ln(33^3)+ln(9^4) so that it includes the expressions ln(3) and 33 and 9 do not appear inside a natural lo

krok68 [10]

Answer:

In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and

discussed a few of their functional properties from that perspective. In this section, we explore

the algebraic properties of logarithms. Historically, these have played a huge role in the scientific

development of our society since, among other things, they were used to develop analog computing

devices called slide rules which enabled scientists and engineers to perform accurate calculations

leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit

analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.

We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as

the inverse of an exponential function.

Step-by-step explanation:

Hope this helps

4 0

3 years ago