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
professor190 [17]
3 years ago
13

-3x² - 4x – 8=0 Does anyone know how to solve this?

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

That is a quadratic equation.

It can be solved by using the quadratic formula:

x = (-b +-sqr root b^2 -4*a*c) / 2 *a

In this equation a = -3

b = -4 and c = -8

x = (--4 +- sqr root (-4^2 - 4 * -3 * -8)) / (2 * -3)

x = (4 +- sqr root (16 -96)) / -6

x = 4 +- sqr root (-80) / -6

x1 = (4 +8.94427191 * i)  / -6

x2 =(4 -8.94427191 * i)  / -6

Remember that "i" is the square root of minus 1.

 

Step-by-step explanation:

You might be interested in
Please help me need help ASAP don’t know how to solve
salantis [7]

Using the triangle similarity postulates, you can verify that

\cfrac{12}{y}=\cfrac{y}{4}\\ \\ \Rightarrow y^2=48\\ \\ \Rightarrow y=\sqrt{48}=4\sqrt{3}

3 0
3 years ago
An n-sided polygon has two of its exterior angles measuring 30° and 42°.The remaining exterior angles all measure 16° each. Find
finlep [7]

Answer:

n = 20.

Step-by-step explanation:

The external angles of a polygon add up to 360 degrees. So:

30 + 42 + 16(n - 2)   = 360   where n is the number of sides of the polygon.

16n + 30 + 42 - 32 = 360

16n  + 40 = 360

16n = 320

n = 20.

5 0
3 years ago
Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature e
Maslowich

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Equation of regression line :

Yˆ = −114.05+2.17X

X = Temperature in degrees Fahrenheit (°F)

Y = Number of bags of ice sold

On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold.

X = 82°F ; Y = 66 bags of ice sold

1. Determine the number of bags of ice predicted to be sold by the LSR line, Yˆ, when the temperature is 82 °F.

X = 82°F

Yˆ = −114.05+2.17(82)

Y = - 114.05 + 177.94

Y = 63.89

Y = 64 bags

2. Compute the residual at this temperature.

Residual = Actual value - predicted value

Residual = 66 - 64 = 2 bags of ice

4 0
3 years ago
What,s the answer of _5y_25=25 ?
Ganezh [65]
The answer is that y is equal to zero

8 0
3 years ago
1. Consider the right triangle ABC given below.
lbvjy [14]
#1) 
A) b = 10.57
B) a = 22.66; the different methods are shown below.
#2)
A) Let a = the side opposite the 15° angle; a = 1.35.
Let B = the angle opposite the side marked 4; m∠B = 50.07°.
Let C = the angle opposite the side marked 3; m∠C = 114.93°.
B) b = 10.77
m∠A = 83°
a = 15.11

Explanation
#1)
A) We know that the sine ratio is opposite/hypotenuse.  The side opposite the 25° angle is b, and the hypotenuse is 25:
sin 25 = b/25

Multiply both sides by 25:
25*sin 25 = (b/25)*25
25*sin 25 = b
10.57 = b

B) The first way we can find a is using the Pythagorean theorem.  In Part A above, we found the length of b, the other leg of the triangle, and we know the measure of the hypotenuse:
a²+(10.57)² = 25²
a²+111.7249 = 625

Subtract 111.7249 from both sides:
a²+111.7249 - 111.7249 = 625 - 111.7249
a² = 513.2751

Take the square root of both sides:
√a² = √513.2751
a = 22.66

The second way is using the cosine ratio, adjacent/hypotenuse.  Side a is adjacent to the 25° angle, and the hypotenuse is 25:
cos 25 = a/25

Multiply both sides by 25:
25*cos 25 = (a/25)*25
25*cos 25 = a
22.66 = a

The third way is using the other angle.  First, find the measure of angle A by subtracting the other two angles from 180:
m∠A = 180-(90+25) = 180-115 = 65°

Side a is opposite ∠A; opposite/hypotenuse is the sine ratio:
a/25 = sin 65

Multiply both sides by 25:
(a/25)*25 = 25*sin 65
a = 25*sin 65
a = 22.66

#2)
A) Let side a be the one across from the 15° angle.  This would make the 15° angle ∠A.  We will define b as the side marked 4 and c as the side marked 3.  We will use the law of cosines:
a² = b²+c²-2bc cos A
a² = 4²+3²-2(4)(3)cos 15
a² = 16+9-24cos 15
a² = 25-24cos 15
a² = 1.82

Take the square root of both sides:
√a² = √1.82
a = 1.35

Use the law of sines to find m∠B:
sin A/a = sin B/b
sin 15/1.35 = sin B/4

Cross multiply:
4*sin 15 = 1.35*sin B

Divide both sides by 1.35:
(4*sin 15)/1.35 = (1.35*sin B)/1.35
(4*sin 15)/1.35 = sin B

Take the inverse sine of both sides:
sin⁻¹((4*sin 15)/1.35) = sin⁻¹(sin B)
50.07 = B

Subtract both known angles from 180 to find m∠C:
180-(15+50.07) = 180-65.07 = 114.93°

B)  Use the law of sines to find side b:
sin C/c = sin B/b
sin 52/12 = sin 45/b

Cross multiply:
b*sin 52 = 12*sin 45

Divide both sides by sin 52:
(b*sin 52)/(sin 52) = (12*sin 45)/(sin 52)
b = 10.77

Find m∠A by subtracting both known angles from 180:
180-(52+45) = 180-97 = 83°

Use the law of sines to find side a:
sin C/c = sin A/a
sin 52/12 = sin 83/a

Cross multiply:
a*sin 52 = 12*sin 83

Divide both sides by sin 52:
(a*sin 52)/(sin 52) = (12*sin 83)/(sin 52)
a = 15.11
3 0
3 years ago
Read 2 more answers
Other questions:
  • A(n+y)=10y+32 solve for y
    13·2 answers
  • Please so this question, IF IT ENDS UP BEING CORRECT U GET BRAINLEST
    7·2 answers
  • If you combine the partial crates, how many additional full crates of oranges can be sold?
    12·2 answers
  • If f(x) = 5x - 4 and g(x) = x2, what is (gºf)(2)?
    15·2 answers
  • Hello please could you answer the questions in the attachment about arc length and the area of a sector. Please show full workin
    9·2 answers
  • Last month, a car dealership sold 184 new cars. To determine customer satisfaction, the sales manager asked all of these newcar
    7·1 answer
  • I need help with number 4
    6·1 answer
  • Terri is rewriting 7^13 in expanded form. How many factors should she use in her expression?
    11·2 answers
  • A person has a 5% chance of winning a free ticket in a state lottery. She plays the game 12 times. What is the probability she w
    12·1 answer
  • Name two triangles that are congruent by ASA.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!