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2 years ago

Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4

Mathematics

1 answer:

amid [387]2 years ago

4 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -4 y_1= 0

m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

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When it is for a fish tank holds 15 gallons of water, Jordan is using a one pint container to fill the fish tank, how Jordan nee

Fantom [35]

Answer:

120 pints

Step-by-step explanation:

1 gallon = 8 pints

15 gallons x 8 is 120 pints

8 0

4 years ago

The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl

xeze [42]

Answer:

The traveler can plan such a tour in 3003 ways.

Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

$C_{15,5} = \frac{15!}{5!10!} = 3003$

The traveler can plan such a tour in 3003 ways.

4 0

3 years ago

Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali

Otrada [13]

Answer:

the answer is 7

Step-by-step explanation:

angle 30°

x=14/2

x=7

8 0

4 years ago

It’s algebra 2! help asap plzz

san4es73 [151]

This is the difference of two perfect cubes.

(6y-4)(36y^2+24y+16)

3 0

3 years ago

Four couples at a dinner party play a board game after the meal. They decide to play as teams of two and to select the teams ran

Llana [10]

Answer:

0.29

Step-by-step explanation:

We are given that there are 4 couples i.e. 8 people

They decide to play as teams of two and to select the teams randomly

Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with

For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner

So, Choices For people 1 will be 6 person

So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = $\frac{\text{No. of choices for Person 1}}{\text{Total no. of choices available}}=\frac{6}{7}$

So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with = $(\frac{6}{7})^8=0.29$

Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29

4 0

3 years ago