1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zlopas [31]
3 years ago
5

3y 2 +5y−10=03, y, squared, plus, 5, y, minus, 10, equals, 0 What are the solutions to the equation above? Choose 1 answer: y=-\

dfrac{5}{2}-\dfrac{\sqrt{145}}{2}
Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

y_1=1.17\\\\y_2=-2.84

Step-by-step explanation:

Given the following quadratic equation:

3y^2 +5y-10=0

You  need to use the Quadratic formula to find the solutions.

The Quadratic formula is:

y=\frac{-b\±\sqrt{b^2-4ac} }{2a}

In this case you can identify that:

a=3\\b=5\\c=-10

The, substituting this values into the Quadratic formula, you get the following solutions for the given quadratic equation:

y=\frac{-5\±\sqrt{5^2-4(3)(-10)} }{2(3)}\\\\\\y_1=1.17\\\\y_2=-2.84

You might be interested in
The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
3 years ago
Victor plants 56 seeds in some flower pots if he puts 7 seeds in each pot how many flower pots does he have
Papessa [141]

Answer:

8

Step-by-step explanation:

The total seeds Victor plants in the flower pots=56

He puts 7 seeds in each pot.

So to find the number of pots;

You need to divide the total seeds(56) by the seeds put in each(7)

So it's going to be;

56÷7

=8

Therefore the total number of flower pots is 8.

8 0
2 years ago
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a
Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = \frac{Distance}{Time}

0.10 = \frac{5.25}{t}

t = \frac{5.25}{0.1}

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0
3 years ago
Read 2 more answers
Please help. Thank you​
love history [14]

Answer:

The length of side x is x = \sqrt{6}

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle, with sides a and b, and hypothenuse h, we have that:

a^2 + b^2 = h^2

In this question:

The vertical line on the sides means that both are equal, that is, measuring x, so a = b = x.

Hypothenuse is the square root of 12. So h = \sqrt{12}

x^2 + x^2 = (\sqrt{12})^2

2x^2 = 12

x^2 = \frac{12}{2}

x^2 = 6

x = \sqrt{6}

The length of side x is x = \sqrt{6}

8 0
2 years ago
Classify What type of number is 1.00 repeating
sveticcg [70]

Answer:

  rational, integer, whole, natural, real

Step-by-step explanation:

Trailing zeros after the decimal point do not change the value of a number. This number is 1, a rational, real, integer, whole, natural number.

7 0
3 years ago
Other questions:
  • anna is buying a house selling for 185,000. to obtain the mortgage, anna is required to make a 20% down payment. anna obtains a
    8·1 answer
  • I realllyyy need help I feel so dumb idk why :(
    14·1 answer
  • Please help 8 pts please
    12·1 answer
  • Dr adams just started an experiment he will collect data for 7 days how many hours is this
    14·2 answers
  • In a research sample of high school students, the variable “number of Instagram followers” formed normal distribution with a mea
    5·1 answer
  • Is 80 oz grater than 5 lb?
    13·1 answer
  • What is one eight of 56
    6·2 answers
  • Need help with this ASAP
    11·1 answer
  • Find the 7th term of 1, 5/4, 25/16
    10·1 answer
  • Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!