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4 years ago

Match with correct description

Mathematics

1 answer:

fgiga [73]4 years ago

8 0

First one: If the leading coeff. is negative, the graph begins in Quadrant III and ends in Quadrant IV. It's an even function. The fourth graph represents it.

If the leading coeff. is positive, but everything else remains the same, the graph opens upward, beginning in Q II and ending in Q I.

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After a Student Council meeting, all 14 members shook hands with every member. How many handshakes were made?

Flauer [41]

There are 2 ways to solve this.

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Method 1:
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The 1st person will shake hand with the other 13 members.
The 2nd person will shake hand with the other 12 members.
The 3rd person will shake hand with the other 11 members
This goes on until all the hands are shake.

So number of handshake:
13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 91

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Answer: 91 handshakes are made.
-------------------------------------------------

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Method 2:
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There are 14 people. Each handshake consisted of 2 person. Consider how many different ways we can choose to pair the 2 person.
Mathematically, it would be 14 x 13 = 182

But Person A shaking hand with Person B is the same as Person B shaking hand with Person A. So we have double count it. We divide the number by 2.

182 ÷ 2 = 91

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Answer: 91 handshakes are made.
-------------------------------------------------

5 0

3 years ago

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is d

AVprozaik [17]

Answer:

y=250x+4000
y=400x+400

Step-by-step explanation:

Given that:

x represents the number of months of ownership; and
y represents the total paid for the car after ‘x' months.

First Option (Leasing)

250x - y + 4000 = 0

Expressing the equation in the Slope-Intercept Form y=mx+b, we have:

y=250x+4000

Second Option (Financing)

$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

First, we determine the slope of the line joining (0,400) and (10,4400)

$Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400$

We have:

y=400x+b

When y=400, x=0

400=400(0)+b

b=400

Therefore, the Slope-Intercept Form of the second option is:

y=400x+400

Significance

In the first option, there is a down payment of $4000 and a monthly payment of $250.
In the second option, there is a down payment of $400 and a monthly payment of $400.

Part B

We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.

i.e

When x=0, y=$4000 for leasing
When x=0, y=$400 for financing

4 0

4 years ago

A pet store has 10 cats, 9 dogs, and 8 turtles. If Mario randomly selects a pet to take home, determine his Theoretical Probabil

ololo11 [35]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

STEP (1)

We have to know how many pets does the pet store have.

Look : 10 + 9 + 8 = 27

So the pet store completely have 27 pets.

_________________________________

STEP (2)

Mario randomly selects a pet :

$\frac{10}{27} \\$

Is the Probability of selecting a cat.

##############################

$\frac{9}{27} \\$

Is the Probability of selecting a dog.

_________________________________

STEP (3)

(( or )) in mathematics means plus (( + )) .

So the Probability of selecting a cat or a dog means :

$\frac{10}{27} + \frac{9}{27} = \frac{19}{27} \\$

_________________________________

STEP (4)

There's no STEP 4.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0

3 years ago

Determine whether the triangles must be congruent. If so, name the postulate or theorem that justifies your answer. If not, expl

Alona [7]

Problem 16)

We use ASA (angle side angle) to show the two triangles are congruent. Why ASA instead of AAS? Because the single pair of sides are between the two angles.

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Problem 18)

Similar to problem 16, we'll have two pairs of congruent angles, and a pair of congruent sides. However, the sides are NOT between the two angles. So that means we use AAS in this case.

6 0

3 years ago

Which is the graph of g(x) = (x - 5)^2 + 2?

Fofino [41]

option 4

Step-by-step explanation:

3 0

3 years ago