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kykrilka [37]
3 years ago
14

Convert the expression (5x + 2)(x - 7) from factored form to standard form

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
8 0
We use the FOIL method here. First, Outer, Inner, and Last.

(5x)(x) = 5x^2

(5x)(-7) = -35x

(2)(x) = 2x

(2)(-7) = -14

5x^2 - 35x + 2x - 14

Now combine like terms.

5x^2 - 33x - 14.

This is the right answer because it is now in the form of ax^2 + bx + c
Firlakuza [10]3 years ago
8 0

Answer:

<h3>             (5x + 2)(x - 7) = 5x² - 33x - 14</h3>

Step-by-step explanation:

(5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14

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Express each of the following decimals as a percentage<br> 1.35<br> solution for class 7
Semmy [17]

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

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2 years ago
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What is the surface area of this right triangular prism ? round your answer to the nearest tenth.​
velikii [3]

Answer:

78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.

Step-by-step explanation:

The surface area will be the sum of the area of each face.  so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.

then two trianglular sides with both having a base of 8 and height of 3

then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.

Now we add each face up.

rectangular base = 3x8 = 24

2 triangular sides = 2(.5*8*3) = 24

2 rectangular roof pieces = 2(5*3) = 30

Now add it all up

24+24+30 = 78

5 0
3 years ago
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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}

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Substitute into the first equation to solve for x .

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Multiply to obtain

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

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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} )

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