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3 years ago

F(x)=|3x+5|+6 g(x)=7 find (f+g) (x).

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer:

$(f+g) (x)=\mid 3x+5\mid+13$

Step-by-step explanation:

<u>Operation of Functions</u>

Given:

$f(x)=\mid 3x+5\mid+6$

$g(x)=7$

The sum of (f+g) (x) is:

$(f+g) (x)=\mid 3x+5\mid+6+7$

We cannot operate with the expression inside the absolute bars, thus:

$\boxed{(f+g) (x)=\mid 3x+5\mid+13}$

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Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he

Charra [1.4K]

<u>Answer:</u>

$50 + 5x > $220

5x> $220 - $50

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3 years ago

What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)

den301095 [7]

Answer:

y = 2x + b

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6 0

3 years ago

Help I really don’t understand this

MAXImum [283]

Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
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3 0

3 years ago

Tickets for a dance recital cost $15 for adults and $7 for children. The dance company sold 253 tickets, and the total receipts

elixir [45]

Answer:

Adult tickets =125

Child tickets = 128

Step-by-step explanation:

Let the number of adult and children tickets sold be x and y respectively

So that

x+y= 253--------1

Since total sales/receipt is $2,771

And given that tickets for a dance recital cost $15 for adults and $7 for children hence

15x+7y= 2771-------2

Solving equation 1 and 2 simultaneously we have

x+y= 253---------------1

15x+7y= 2771----------2

Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3

15x+15y=3795---------3

-{15x+7y= 2771----------2

0+8y=1024

8y= 1024

y= 1024/8

y= 128 tickets

So solve for x let us put y= 128 in equation 1

x+ 128=253

x=253-128

x= 125 tickets

8 0

3 years ago

Which expression is equivalent

Tatiana [17]

Given expression is

$\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}$

Radical is fourth root

first we simplify the terms inside the radical

$\frac{x^{11}}{x^7}=x^4$

$\frac{y^(8)}{y^6}=y^2$

So the expression becomes

$\sqrt[4]{\frac{16x^4y^2}{81}}$

Now we take fourth root

$\sqrt[4]{16} = 2$

$\sqrt[4]{81} = 3$

$\sqrt[4]{x^4} = x$

We cannot simplify fourth root (y^2)

After simplification , expression becomes

$\frac{2x\sqrt[4]{y^2}}{3}$

Answer is option B

8 0

3 years ago