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3 years ago

Question 7 of 10

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

(2+5)2-52

=7× 2-52

=14-52

= -42

not in this list but that's right answer

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The length of a rectangle is 3 feet more than twice the width. The perimeter is 24 ft. Find the dimensions of the rectangle

pychu [463]

The length is 9 and the width is 3. 3×2+3 is 9 and 3+3+9+9 is 24

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2 years ago

-6x < 48 a. x > -8 b. x < 8 c. x < -8 d. x > 8

garik1379 [7]

The answer is A.
If you need an explanation let me know

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3 years ago

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Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

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3 years ago

Which of the following equations is of a parabola with a vertex at (1, 2)?

abruzzese [7]

Answer:

Option 2nd is correct that is $y=(x-1)^2+2$

Step-by-step explanation:

We have given the vertices of a parabola

General equation of parabola is:

$y=a(x-h)^2+k$

Here, (h,k) is vertex of the parabola

Here, h=1 and k=2 and a=1

On substituting the values in the general equation of the parabola we get:

$y=1(x-1)^2+2$

$y=(x-1)^2+2$

Therefore, option 2nd is correct.

3 0

3 years ago

Simplify to create an equivalent expression (2j+1)9-7j

sveta [45]

Answer:

Simplifying

(2j + 1) * 9 + -7j = 0

Reorder the terms:

(1 + 2j) * 9 + -7j = 0

Reorder the terms for easier multiplication:

9(1 + 2j) + -7j = 0

(1 * 9 + 2j * 9) + -7j = 0

(9 + 18j) + -7j = 0

Combine like terms: 18j + -7j = 11j

9 + 11j = 0

Solving

9 + 11j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 11j = 0 + -9

Combine like terms: 9 + -9 = 0

0 + 11j = 0 + -9

11j = 0 + -9

Combine like terms: 0 + -9 = -9

11j = -9

Divide each side by '11'.

j = -0.8181818182

Simplifying

j = -0.8181818182

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3 years ago

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