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
Katen [24]
3 years ago
11

Solve the equation

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

You might be interested in
Marcy bought 1/4 pound of chocolate covered caramels at $2.69 a pound and 1/4 pound of coffee at $3.50 a pound how much did the
ValentinkaMS [17]
The answer is 67 cents for the candy
7 0
2 years ago
Read 2 more answers
Lisa makes 35 dollars per month babysitting . She spends 25% of what she earns on entertainment. How much does she spend on ente
Musya8 [376]

Answer:8.75$

Step-by-step explanation:hope this helps :)

4 0
3 years ago
Read 2 more answers
Several psychology majors conducted an experiment around campus, asking students to count backwards from 40 to 0 as fast as poss
Dominik [7]

Answer:

Step-by-step explanation:

POINTS:

- Out of every 15 students, 6 were successful in the task.

- The professors' success rate is 140% of the students' success rate.

j

5 0
3 years ago
Christov and Mateus gave out candy to children on Halloween. They each have out candy at a constant rate, and they both gave awa
padilas [110]

Answer: 1) Both gave same number of candies to each child.

2) Christov gave candy to a greater number of children.

Step-by-step explanation:

Since, Christov initially had 300 pieces of candy, and after he was visited by 17 children, he had 249 pieces left.

Let he gave x candy to each student when he visited 17 children.

Then, 17 x + 249 = 300

⇒ 17 x = 51

⇒ x = 3

Since, he distributes candies in a constant speed.

Therefore, his speed of distribution = 3 candies per child

Now,The function that shows the remaining number of candies Mateus has after distributing candies to n children,

C(n)=270 - 3 n

Initially, n = 0

C(0) = 270

⇒ Mateus has initial number of candies = 270

When he gave candies to one child then remaining candies = 270 - 3 × 1 = 267

Thus, the candies, get by a child from Mateus = 270 - 267 = 3

Since, he distributes candies in a constant speed.

⇒ His speed of distribution = 3 candies per child

1) Therefore, Both Christov and Mateus have same speed of distribution.

2) Since, both have same seed.

⇒ The one who has greater number of candies will be distribute more.

⇒ Christov will give more candies.


8 0
3 years ago
The angles of a triangle are in the ratio of 2 : 12 : 16. The sum of all the angles in a triangle must equal 180 degrees. What i
UkoKoshka [18]

If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.

First solve for x:

2x + 12x + 16x = 180

30x = 180

x = 6

Then plug x back in to find the degrees for each angle:

2x = 2(6) = 12

12x = 12(6) = 72

16x = 16(6) = 96

These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.

The equation, also at the top, is 2x + 12x + 16x = 180.


3 0
2 years ago
Other questions:
  • trying to explain a class is planning a party. A pizza restaurant cuts each pizza into 8 slices. There are 32 students. How many
    10·1 answer
  • Is the GCF of 28 and 50
    8·2 answers
  • What must be added to 3x-7 to make x^2 +4x-1 ?
    12·1 answer
  • PLEASE HURRY
    14·2 answers
  • Explain the reason for the pattern 3030/30, 4242/42, 5050/50.
    6·1 answer
  • Graph the number.<br><br> 1−|−4|
    11·1 answer
  • What’s the domain of the graph?
    7·1 answer
  • 4/15 x 6 in simplest form
    7·2 answers
  • What is the value of this expression?<br><br> 3(68−12)+0.25
    10·2 answers
  • Which of these is a correct expansion of (3x − 1)(4x² + 5)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!