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3 years ago

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Which algebraic expression is not equivalent to 13x + 10? A. 10(x + 1) + 3x B 4x + 3 + 8x + 7 0. C. 13 + 2x + 3x – 3 + 8x D. 20x

– 2 – 7x + 12

1 answer:

Temka [501]3 years ago

6 0

A, C, and D are all equivalent therefore the correct answer is.... (B). It is the only one that equals something else.

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When using fraction strips how do you know that to fractions are equivalent

mafiozo [28]

You basically would use how long they are. If you had a strip of 1/2 and a strip of 3/4... with blocks they wouldn't be the same length. The 3/4 blocks would be greater.

However if you matched a 1/2 strip with a 3/6 strip, you can see that they are the same length and are equivalent.

Of course their is a way to do it mathematically but let me know if you want to see that.

3 0

4 years ago

What is the total surface area of the rectangular pyramid below?

Sergio [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

The total surface area of rectangular pyramid will be the area of all four faces and area of base.

The faces are triangular, so area will be = $\frac{1}{2}*base*height$

Area of face = $\frac{1}{2}*16*14=112$

Another face area = $\frac{1}{2}*12*15=90$

Each face has its similar another face. So total area of faces will be = $112+112+90+90=404$

Area of base = $12*16=192$

So total surface area = $404+192=596$ square feet

Hence the total surface area is 596 square feet. : Answer

Hope it will help :)

8 0

4 years ago

Read 2 more answers

Write a polynomial function with the given zeros. multiply the terms (write in standard form).

ryzh [129]

$1) \ f(x)=x^3-3x-2 \\ \\ 2) \ g(x)=x^3-x^2-6x$

<h2>Explanation:</h2>

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0$

In this exercise, we have two cases and both will be polynomial functions with degree 3 because we have three real roots in each case. So:

<h3>First.</h3>

The roots are:

$x= -1, -1, 2$

So we can write this polynomial functions as the product of linear factors:

$f(x)=(x-(-1))(x-(-1))(x-2) \\ \\ f(x)=(x+1)^2(x-2)$

Since we have to write it in standard form, let's expand:

$f(x)=(x+1)^2(x-2) \\ \\ \\ By \ property: \\ \\ (a+b)^2=a^2+2ab+b^2 \\ \\ \\ f(x)=(x^2+2x+1)(x-2) \\ \\ f(x)=x^3+2x^2+x-2x^2-4x-2 \\ \\ \\ Combine \ like \ terms: \\ \\ x^3+(2x^2-2x^2)+(x-4x)-2 \\ \\ \\ \boxed{f(x)=x^3-3x-2}$

<h3>Second.</h3>

The roots are:

$x= -2, 0, 3$

Writing the polynomial function as the product of linear factors:

$g(x)=(x-(-2))(x-0)(x-3) \\ \\ g(x)=(x+2)x(x-3) \\ \\ g(x)=x(x+2)(x-3) \\ \\ \\ Distributive \property: \\ \\ g(x)=x(x^2-3x+2x-6) \\ \\ g(x)=x(x^2-x-6) \\ \\ \\ Distributive \ property \ again: \\ \\ \boxed{g(x)=x^3-x^2-6x}$

<h2>Learn more:</h2>

Degree of polynomial functions: brainly.com/question/5451252

#LearnWithBrainly

7 0

3 years ago

Read 2 more answers

Isabel spent 3/12 of each year on summer break from school. What is the total amount of time in 5 years.

mezya [45]

1 1/4 years out of school

4 0

4 years ago

Read 2 more answers

What is the area of the trapezoid shown below?<br> units2

mylen [45]

Answer and Step-by-step explanation:

Use the <u>Pythagorean Theorem </u>to solve for the <em>height</em>.

$a^{2}+ b^{2}= c^{2} \\\\\\4^{2} + b^{2} = 5^{2}\\\\\\16 + b^{2} = 25\\\\\\b^{2} = 9\\\\\\b = 3$

The height of the triangle is 3.

Now we can solve the shapes in the trapezoid.

4 times 3 = 12 (Rectangle)

$\frac{4 * 3}{2}$ = $\frac{12}{2}$ = 6 (Triangle)

12 + 6 = 18 (Trapezoid)

The area of the trapezoid is 18 $units^{2}$ .

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

4 0

3 years ago