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3 years ago

9

A factory worker packed 12 boxes at a constant rate, took a 30 minute break, and then continued packing boxes at twice the rate

before his break. The worker then spent 1 hour cleaning the work area. Which graph models this situation?

2 answers:

Verdich [7]3 years ago

8 0

I don’t know , sorryyy but it really doesn’t make sense

Romashka [77]3 years ago

7 0

Step-by-step explanation:

ggoo giurjhjgh

You might be interested in

Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!

icang [17]

Answer:

$x=-2\\x=2$

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

$(x^2+1)^2-5x^2-5=0$

First, we need to foil out the parenthesis

$x^4+2x^2+1-5x^2-5=0$

Now we can combine the like terms

$x^4-3x^2-4=0$

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

$(x^2-4)(x^2+1)=0$

As the first binomial is a difference of squares, it can be factored futher into

$(x^2+1)(x+2)(x-2)=0$

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

$x+2=0\\\\x=-2$

$x-2=0\\\\x=2$

So our solutions to this equation are

$x=-2\\x=2$

3 0

3 years ago

A farmer finds that if she plants 85 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each addit

vova2212 [387]

Answer:

52 Trees

Step-by-step explanation:

If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.

Yield = 85 X 80

Let x be the additional tree planted per acre.

For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.

Therefore, the yield:

$F(x)=(85+x)(80-4x)\\F(x)=6800-260x-4x^2$

Next, we maximize F(x) by taking its derivatives and solving for its critical point.

$F'(x)=-260-8x\\$Setting $F'(x)=0,$ we have:$\\-260-8x=0\\8x=-260\\$Divide both sides by 8$\\x=-32.5$

$F''(x)=-8, $therefore we have a maximum$

It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.

Therefore, number of trees per acre she should plant:

85+(-32.5)

=85-32.5

=52.5 Trees

Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.

5 0

4 years ago

Please I need help with that question

fomenos

We know that 2x + 5 = 10 - 3x, and because of this we can solve for x.

2x + 5 = 10 - 3x

+3x

5x + 5 = 10

-5

5x = 5

/5

x = 1

We can plug x into each x value to verify if this is true.

2(1) + 5 = 10 - 3(1)

2 + 5 = 10 - 3

7 = 7

3 0

4 years ago

Determine whether ∆DEF=∆JKL, given that D(2,0), E(5,0), F(5,5), J(3,-7), K(6,-7), and L(6,-2)

raketka [301]

Answer:

Yes , triangle DEF is congruent to JKL

Step-by-step explanation:

Given:

The coordinates of triangle DEF are;

D (2, 0)

E(5. 0)

F(5, 5)

and

the coordinates of triangle JKL are:

J(3, -7)

K(6, -7)

L (6, -2)

The rule of translation is used on triangle DEF to get triangle JKL:

$(x , y) \rightarrow (x+1 , y-7)$

i.e

$D (2, 0) \rightarrow (2+1 , 0-7) = (3, -7)$ = J

$E (5, 0) \rightarrow (5+1 , 0-7) = (6, -7)$ = K

$F (5, 5) \rightarrow (5+1 , 5-7) = (6, -2)$ = L

As, we know that two triangles are known as congruent if there is an isometry mapping one of the triangles to the other.

therefore, triangle DEF congruent to triangle JKL

8 0

3 years ago

Find the probability that a randomly selected dog is Male given it is a boxer. Enter your answer in decimal form rounded to two

RoseWind [281]

Answer:

0.63

Step-by-step explanation:

M: The selected dog is a male. P(M) = 24/40 = 0.6

B: The selected dog is a boxer. P(B) = 22/40 = 0.55

M and B: 14/40 = 0.35

P(M/B) = 0.35 / 0.55 = 0.63

3 0

3 years ago