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Marianna [84]
3 years ago
5

Use the discriminant to determine the number of real solutions to the equation. −4x^2=−8−10x

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Len [333]3 years ago
6 0

Answer:

Step-by-step explanation:

You don't get a free answer. I am, after all, a high school math teacher, so there has to be a lesson in with this.

The discriminant is part of the quadratic formula. It is:

b^2-4ac. If this value is found to be > 0 and a perfect square, there are 2 real roots; if this value is found to >0 and not a perfect square, there are 2 complex roots; if this value is found to be = 0, then there is 1 real root with a multiplicity of 2; and finally, if this value is found to be < 0, then there are 2 imaginary roots. Also, it would help to know that, because we are dealing with the discriminant, which comes from the quadratic formula, and quadratics, by definition, have 2 solutions, you must have 2 solutions listed as the possible roots for the equation. Our equation is:

-4x^2=-8-10x but in order to determine the a, b, and c for the discriminant, that equation has to be in standard form, set equal to 0:

-4x^2+10x+8=0

From this we can see that a = -4, b = 10, and c = 8. Filling in the discriminant:

10^2-4(-4)(8) which gives us a value of

100 - [4(-4)(8)] (don't forget orders of operation here!)

100 - (-128) = 100 + 128 = 228

This value is greater than 0 but is not a perfect square, so there are 2 complex roots. That means that there will be radicals in the solutions.

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Likurg_2 [28]

Answer:

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pls, don't do that

Step-by-step explanation:

3 0
3 years ago
What’s the answer to this question
laiz [17]

Answer:

B

Step-by-step explanation:

3 rectangles are 3 x 7 x 2 = 42

2 triangles are 2 x 1/2 x 2 x \sqrt{2^{2} - 1^{2}   } = 2\sqrt{3}

note that you have to use Pythagoras Theorem to solve for the height of the triangle

4 0
3 years ago
Can you guys help please im so confused
marissa [1.9K]

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

A = x \cdot y

- The length of the fencing is 80 meters, so

2y + x = 80

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

y = 40 - \frac12 x

Then substitute for y in the first:

A = x (40 - \frac12 x) = 40x - \frac12x^2

b) To maximize A, find the zero of the first derivative:

A'(x) = 40 - x = 0 \implies x=40

So y = (80-40)/2 = 20 meters.

8 0
2 years ago
Help on this please i need help so much
attashe74 [19]
The correct answer for each is
a= 390.8
b= 136.8
7 0
3 years ago
Read 2 more answers
Betty decides to set aside $200/month. If her monthly 401(k) savings are earning 5.4% APR compounded monthly, what will the bala
Tatiana [17]

Answer:

(9) $339076.60 (10) $72000 (11) $220800

Note: Kindly find an attached copy of the complete question given below. i solved for 9,10,11 only.

Step-by-step explanation:

Solution

Given that:

Betty set aside $200/month

With a 401 (k) savings

t = 40 years

APR = 5.4%

Now we find the balance in her account after 40 years.

Now,

A = PMT [(1 +r/n)^nt -1]/(r/n)

A = 200 [ (1 + 0.054/12)^(12)(40) - 1]/(0.054/12)

A= $339076.60

(10) Recall that:

t = 40 years

Per month deposit = $150 dollar

The total deposit becomes

t = 40 * 12 = 480 Month

Total deposit = 480 * 150

=$72000

(11) Now we find the less money she received in her paychecks

Thus

Without monthly saving paycheck is =$2300

Now,

For 40 years becomes = $2300 * 40 * 12

=$1,104000

So,

20% of tax deducted = 20/100 * $1,104000

=$220800

Therefore the less amount received in 40 years is $220800

Note:( My research for the complete question was from quiz let, chegg)

3 0
3 years ago
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