All categories

2 years ago

Write the equation in standard form. Then factor the left side of the equation. 2x^2 + 7x = 15

Mathematics

1 answer:

Anettt [7]2 years ago

7 0

Answer:

2x^2 + 7x - 15 = 0

Factors: (2x - 3)(x + 5)

Step-by-step explanation:

To write the equation in standard form rearrange to this form ax^2 + bx + c = 0. Rearrange the equation 2x^2 + 7x = 15 by subtracting 15 from both sides.

2x^2 + 7x - 15 = 0

The left side factors into (2x - 3)(x + 5) since it multiplies to 2x^2 - 3x + 10x - 15 = 2x^2 + 7x - 15.

You might be interested in

Write the ratio as a fraction in simplest form. 10.8 seconds : 36 feet (Show work)

vodka [1.7K]

Answer: Ratio as a fraction in simplest form is :

$\frac{27}{1}=27$

Step-by-step explanation:

Since we have given that

10.8 seconds : 36 feet

As we know that

$1\ second=\frac{1}{60}\ mile\\\\1\ second=90\ feet$

So, we use it :

10.8 seconds : 36 feet

$=10.8\times 90\ feet:36\ feet\\\\=972:36\\\\=27:1$

Hence, Ratio as a fraction in simplest form is :

$\frac{27}{1}=27$

7 0

2 years ago

The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni

Lady bird [3.3K]

Answer:

The value of y when x has a value of 9 is 18

Step-by-step explanation:

Functions

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

$y=kx^2$

Where k is an unknown constant.

Let's use the given point (3,2) to find the value of k:

$2=k(3)^2$

$2=9k$

Solving for k:

$\displaystyle k=\frac{2}{9}$

The equation is now:

$\displaystyle y=\frac{2}{9}x^2$

Now find y when x=9:

$\displaystyle y=\frac{2}{9}(9)^2$

$\displaystyle y=\frac{2}{9}\cdot 81=18$

The value of y when x has a value of 9 is 18

3 0

3 years ago

A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to r

8090 [49]

Answer:

14 and 16

Step-by-step explanation:

nryjettutwi523iwtietiitqy25

3 0

2 years ago

Dill and Bromberg, Problem 1.23. The San Francisco football team plays better in fair weather. They have a 70% chance of winning

shtirl [24]

Answer:

a) 40% probability that San Francisco will win.

b) 80% probability that the weather was bad

Step-by-step explanation:

We have these following probabilities:

60% chance of snow(bad weather).

If there is bad weather, 20% probability of SF winning.

100-60 = 40% chance of good weather.

If there is good weather, 70% probability of SF winning.

(a) If they play in the Super Bowl in Wisconsin and the weatherman predicts a 60% chance of snow that day, what is the probability that San Francisco will win.

20% of 60%, plus 70% of 40%. So

0.2*0.6 + 0.7*0.4 = 0.4

40% probability that San Francisco will win.

(b) Given that San Francisco lost, what is the probability that the weather was bad?

We use the conditional probability formula to solve this question.

Conditional probability:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: SF losing

Event B: Bad weather

P(A)

From a), 40% probability that SF wins. So 100-40 = 60% = 0.6 probability that SF losses.

So $P(A) = 0.6$

P(A and B)

60% chance of snow. If it snows, 80% probability of SF losing. So

$P(A \cap B) = 0.6*0.8 = 0.48$

$P(B|A) = \frac{0.48}{0.60} = 0.8$

80% probability that the weather was bad

6 0

3 years ago

Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles

Darya [45]

Answer:

4.5 hours

Step-by-step explanation:

If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.

2 miles = 1.5 hours

6 times 1.5 = 4.5

Therefore, 6 miles will take 4.5 hours.

7 0

2 years ago

Read 2 more answers