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3 years ago

Express the product of 2x•2x+6x-8 and x + 3 in standard form

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

This would be your answer 10x-8, x+8

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21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

3 years ago

Need help on this question

mixer [17]

At&t because it costs let than Verizon and still gives you the ability to make 50 calls per week.

8 0

3 years ago

the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o

77julia77 [94]

So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit

8 0

3 years ago

5+2 root 3 / 7+4 root 3 =a-6root3

STALIN [3.7K]

Answer:

Step-by-step explanation:

$\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3$

8 0

3 years ago

Distribute 5 (m+6) please and thank you

antiseptic1488 [7]

Step-by-step explanation:

5 (m+6)

= 5m+5×6

=5m+30

5 0

3 years ago

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