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dybincka [34]
3 years ago
11

How many solutions does this equation have x^4 - 6x^2 -7 = 0

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

2 solutions

Step-by-step explanation:

x^4-6x^2-7=0

Replace x^2 by y

(x^2)^2-6x^2-7=0

y^2-6y-7=0

D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64

sqrtD=8

y1=(-b-sqrtD)/2a=-2/2=-1

y2= (-b+sqrtD)/2a=14/2=7

x^2=-1(n0 roots)    x^2=7 x=sqrt7 or x=-sqrt7

2 roots

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Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile
almond37 [142]

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

  • Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
  • Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
  • A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

∵ Ruby needs to drive 15 miles with the rented truck

∴ x = 15

- Substitute x by 15 in the two equation to find the cheaper one

∵ A(15) = 2.5(15) + 70

∴ A(15) = 107.5

The amount Company A would charge if Ruby drives 15 miles is $107.5

∵ B(15) = 1.5(15) + 90

∴ B(15) = 112.5

The amount Company B would charge if Ruby drives 15 miles is $112.5

∵ $107.5 is less than $112.5

∴ A(15) < B(15)

∴ The company A would be cheaper

Company A would be cheaper if Ruby needs to drive 15 miles

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

3 0
3 years ago
(20 points) Simplify The Expression with work/steps<br><br> (8+3i) + (-2+ i)
zimovet [89]

Given the expression (8+3i)+(-2+i)

We need to simplify it.

(8+3i)+(-2+i)

First we have to remove the parenthesis.

8+3i-2+i

As we know that multiplication of positive and negative is negative.

Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.

8-2 +3i+i

6+4i

We have got the required answer.

The simplified answer is 6+4i.

6 0
3 years ago
The sum of two numbers is- 4/3. If one of the numbers is -5, what is the<br>other?​
kipiarov [429]

Answer:

\boxed{\sf \ \ \ \dfrac{11}{3} \ \ \ }

Step-by-step explanation:

hello,

let's note x this number we can write

x-5=\dfrac{-4}{3}\\ 3x-15=-4\\ 3x=+15-4=11\\ x = \dfrac{11}{3}

hope this helps

4 0
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Write an equation in slope-intercept form of the line with slope 4 and a point at<br> (0, -3)*
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Y=4x-3
Follow this equation y=mx+b (m=slope, b= point given)
3 0
3 years ago
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LuckyWell [14K]

Slope is -1/2

You can get that by isolating the x by moving it to the other side then divide the y value by the other side.

3 0
3 years ago
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