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2 years ago

Can someone help me please

Mathematics

1 answer:

telo118 [61]2 years ago

8 0

It's a reflection across the x axis, so the y intercept won't change (12)

f (x) = 3x + 12
|
\/
g(x) = -3x + 12

I MAY BE WRONG IM ONLY 80% SURE

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3 years ago

Read 2 more answers

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li

Fittoniya [83]

Answer:

(a)

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

$r\geq 5$

Since she does yard work, $y\geq 0$

Lia’s parents allow her to work a maximum of 15 hours per week overall.

$r+y\leq 15$

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

$8r+12y\geq 120$

The system of inequalities that represent this problem is therefore:

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

(5,10)
(5, 6.7)
(15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

At (5,10), Earning=(5X8)+(10X12)=40+120=$160

At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

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2 years ago

In ∆abc, m∠cab = 2x and m∠acb = x + 30. if line segment a b is extended through point b to point d, m∠cbd = 5x − 50. what is t

Allisa [31]

The answer is option "3, 40".

<span>m∠cab = 2x
m∠acb = x + 30
m∠cbd = 5x − 50
Now,
</span>m∠cab + m∠acb = m∠cbd
2x+x+30 = 5x-50
2x+x-5x = -50-30
-2x = -80
x = 40

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2 years ago

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inna [77]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

f(x) = x - 2

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In order to find (fog)(-1) we must first find (fog)(x)

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g (x).

That's

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We have

(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1

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