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horsena [70]
3 years ago
15

-3 + x2 = -19 does x = 4

Mathematics
1 answer:
omeli [17]3 years ago
6 0
The equation given in the question is written below
- 3 + x^2 = - 19
x^2 = - 19 + 3
x^2 = - 16
x^2 = - (4)^2
Then
x = - 4
So we can see from the above deduction that x is equal to -4 and not +4. I hope the procedure is clear enough for you to understand. You can always use this method for solving problems of similar kind without requiring any help from outside. Only be careful about the calculation part of the problem given.
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I need help with this
N76 [4]

Answer:

The x-intercepts are x = 1 , x = 2 , x = 3

The y-intercept is -6

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the x-intercept of a function substitute f(x) by 0

- To find the y-intercept of a function substitute x by 0

- To find the factors of quadratic function use the long division

* Lets solve the problem

∵ f(x) = x³ - 6x² + 11x - 6

∵ (x - 3) is one of its factors

- Use the long division to find the other factors

∵ x³ - 6x² + 11x - 6 ⇒ dividend

∵ x - 3 ⇒ divisor

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ x³ ÷ x = x²

# Multiply x² by the divisor (x - 3)

∵ x²(x - 3) = x³ - 3x²

# subtract it from the dividend

∵ (x³ - 6x² + 11x - 6) - (x³ - 3x²) = (x³ - x³) + (-6x² + 3x²) +11x - 6

∴ The dividend is -3x² + 11x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ -3x² ÷ x = -3x

# Multiply -3x by the divisor (x - 3)

∴ -3x(x - 3) = -3x² + 9x

# subtract it from the dividend

∵ (-3x² + 11x - 6) - (-3x² + 9x) = (-3x² - 3x²) + (11x - 9x) - 6

∴ The dividend is 2x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ 2x ÷ x = 2

# Multiply 2 by the divisor (x - 3)

∴ 2(x - 3) = 2x - 6

# subtract it from the dividend

∴ (2x - 6) - (2x - 6) = (2x - 2x) + (-6 + 6) = 0

∴ (x³ - 6x² + 11x - 6) ÷ (x - 3) = x² - 3x + 2

∴ The factors of f(x) are (x - 3)( x² - 3x + 2)

- The factor (x² - 3x + 2) can factorize into two bracket

∵ The last term is positive and the middle term is negative than the

   two brackets have the middle sign (-)

∵ x × x = x² ⇒ 1st terms in the two brackets

∵ 2 × 1 = 2 ⇒ 2nd terms in the two brackets

∵ 2 × x = 2x

∵ 1 × x = x

∵ 2x + x = 3x

∴  (x² - 3x + 2) = (x - 2)(x - 1)

∴ f(x) = (x - 3)(x - 2)(x - 1)

- To find the x-intercept put f(x) = 0

∴ (x - 3)(x - 2)(x - 1) = 0

- That means each bracket = 0

∵ x - 3 = 0 ⇒ add 3 for both sides

∴ x = 3

∵ x - 2 = 0 ⇒ add 2 for both sides

∴ x = 2

∵ x - 1 = 0 ⇒ add 1 for both sides

∴ x = 1

∴ The x-intercepts are x = 1 , x = 2 , x = 3

- To find the y-intercept put x = 0

∵ f(x) = x³ - 6x² + 11x - 6

∵ x = 0

∴ f(0) = 0 - 0 + 0 - 6 = -6

∴ The y-intercept is -6

4 0
3 years ago
What is the value of r in the equation -3(4r - 8)=-36
Marianna [84]

Answer:

r=5

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    -3*(4*r-8)-(-36)=0  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  4r - 8  =   4 • (r - 2)  

Equation at the end of step  2  :

 (0 -  12 • (r - 2)) -  -36  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  60 - 12r  =   -12 • (r - 5)  

Equation at the end of step  4  :

 -12 • (r - 5)  = 0  

Step  5  :

Equations which are never true :

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    r-5 = 0  

Add  5  to both sides of the equation :  

                     r = 5  

One solution was found :

                  r = 5


brainliest pllzz thx god bless

3 0
3 years ago
Read 2 more answers
How would you do this problem?<br><br> Need help ASAP please!!<br> Thank you!
Dafna11 [192]

9 miles he traveled on tuesday, why? because if you were to draw a line connecting the dots and went to the x coordinate 60 (hour in minutes) on the line you drew, you can see its also at 9 miles on the y coordinate

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-TheKoolKid1O1

5 0
3 years ago
Read 2 more answers
Find the density of a soda can with a radius of 3.25 cm, a height of 122 cm, and a mass of 40 g.
dimaraw [331]

Answer:

density = 9.88*10^{-3} g/cm^3

Step-by-step explanation:

Step 1: Volume of soda can

volume = \pi r ^{2}  h

=> \pi 3.25^{2}*122

volume = 4048.3cm^{3}

Step 2: Using answer from step 1 to calculate density

density=\frac{mass}{volume}

density = \frac{40}{\pi 3.25^{2}*122  }

density = 9.88*10^{-3} g/cm^3

7 0
3 years ago
67,456 divided by 32
andre [41]
2108 is the answer. Try to solve it on paper. It’s not hard
3 0
3 years ago
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