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3 years ago

Add and simplify

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer:

5x^2-x-4

Step-by-step explanation:

Combine the terms.

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Is q(x)=3-x <br> odd,even , or neither?

Rudiy27

Q(x)=3x is oddddddddddd

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3 years ago

Whats 9 plus 10

Anna11 [10]

Answer:

it is 21 because 9+10=19+2=21-10=11+10=21 its magic

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Factorise x² - x with explanation please?

Assoli18 [71]

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

3 0

3 years ago

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

. Mr. Donut wants to paint a donut on the wall of his restaurant. The diameter of the outside edge of the donut will be 22 inche

KATRIN_1 [288]

Answer:

The area needed to be painted is approximately 301.44 square inches.

Step-by-step explanation:

The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:

$A =A_{g}-A_{s}$ (Eq. 1)

Where:

$A$ - Total area of the donut, measured in squared inches.

$A_{g}$ - Area of the greater circle, measured in square inches.

$A_{l}$ - Area of the lesser circle, measured in square inches.

By using the definition of the area of the circle, we expand the equation above:

$A = \frac{\pi}{4}\cdot D^{2}_{ext} - A_{s}$ (Eq. 1b)

If we know that $\pi = 3.14$ , $D_{ext} = 22\,in$ and $A_{s} = 78.5\,in^{2}$ , the area needed to be painted is:

$A = \frac{(3.14)\cdot (22\,in)^{2}}{4}-78.5\,in^{2}$

$A \approx 301.44\,in^{2}$

The area needed to be painted is approximately 301.44 square inches.

6 0

3 years ago