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3 years ago

If F(x) = 3x + 10x and g(x) = 5x - 3, find (f+g)(x)

1 answer:

5 0

(f+g)(x) represents the sum of the two functions f(x) and g(x).

Arrange these functions vertically and add up like terms:

 f(x) = 3x + 10
+g(x) = 5x - 3
-----------------------
(f+g)(x) = 8x + 7

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You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 303030 minutes

ddd [48]

You will read for 45 minutes if your brother reads for 15 minutes.

Explanation

You decide to read 30 minutes longer than your brother reads.

If your brother reads $x$ number of minutes, then 30 minutes longer than $x$ minutes means $(x+30)$ minutes.

As the number of minutes you read is $y$ , so the equation will be: $y= x+30$

When your brother reads for 15 minutes, then we will just plug $x=15$ into the above equation. So.....

$y=15+30= 45$

So, you will read for 45 minutes if your brother reads for 15 minutes.

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3 years ago

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Answer:

Step-by-step explanation:

Use formula for continuous interest:

A = $Pe^{rt}$ , where r- interest rate, t- time in years

If A = 3P, and r = 0.085 then the equation is:

$3P = Pe^{0.085t}$
$3 = e^{0.085t}$
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t = 1.099 / 0.085
t = 12.9 ≈ 13 years

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3 years ago

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Parallelogram abcd has verticals at A(0,0), B(3,6), C(5,5) and D(2,-1) which conclusion can be made ?

sertanlavr [38]

Answer:

Step-by-step explanation:

when you plot the vertices;

Side AB is perpendicular to side BC

Side AB is parallel to side DC

Side AC is perpendicular to AB

Side AC is perpendicular to DC

Side AC is parallel to side BC

The conclusion made is that ABCD is a rectangle

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3 years ago

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

marshall27 [118]

Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
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Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18 Cross multiply
4*18 = 2 * x
72 = 2x Divide by 2
72/2 = x
x = 36

The height of the tree is 36 feet.

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3 years ago

Chad is planting a plant that is 4 inches tall. He wants the hole he is digging to be as deep as the plant is tall. What integer

Arturiano [62]

Answer:

-4 in

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