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2 years ago

Expand and simplify (x+1)(x+6)

Mathematics

2 answers:

ra1l [238]2 years ago

7 0

Answer:

X^2+7x+6

Step-by-step explanation:

lorasvet [3.4K]2 years ago

3 0

Answer:

$x^{2}+7x+6$

Good luck!

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Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit wa

Pepsi [2]

Answer:

20%

Step-by-step explanation:

40 pieces total

32 pieces eaten

40 - 32 = 8

8 pieces not eaten

Percentage = (part / whole) x 100%

Percentage = (8 / 40) x 100% = 0.2 x 100%

Percentage = 20%

4 0

2 years ago

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The sum of 5x and 2xis at least 14 as a inequality

vesna_86 [32]

Answer:

The sum of 5x and 2xis at least 14 as an inequality is: 5x +2x < 14

The product of x and y is less than 4 as an inequality is: x * y < 4

Step-by-step explanation:

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2 years ago

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Fine the slope of the line perpendicular to the line graphed below

goldenfox [79]

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.

The slope of the line perpendicular to the one shown below will be $-\frac{1}{2}$ because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.

6 0

2 years ago

if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.

Semenov [28]

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

8 0

2 years ago

Write the equation of the line that passes through the point (6, -2) and is perpendicular to the line

jolli1 [7]

Answer:

y = - 3x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{3}$ x + 8 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{1}{3} }$ = - 3, so

y = - 3x + c ← is the partial equation of the perpendicular line

To find c substitute (6, - 2) into the partial equation

- 2 = - 18 + c ⇒ c = - 2 + 18 = 16

y = - 3x + 16 ← equation of perpendicular line

6 0

2 years ago