3 years ago

Help please...whats an explicit equation?

1 answer:

4 0

We represent a sequence with a formula that lets us find any term in the sequence without knowing any other terms, we are representing the sequence explicitly.

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40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant

nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: $40x=10x^2+41\\$

Rearranging:

$40x-10x^2-41=0\\10x^2-40x+41=0$

Discriminant can be found by: $b^2-4ac$

where b=-40, a=10 and c=41

Putting values:

$b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\$

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

#learnwithBrainly

6 0

3 years ago

Boris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?

satela [25.4K]

Use proportion to solve this.
240 miles needs 9 gallons
216 miles needs (9÷240) × 216 = 8.1 gallons

Hope it helped!

6 0

3 years ago

Read 2 more answers

what is the equation in point-slope form of a line that passes through the points parentheses( 3, -5) and (-8, 4)

viva [34]

slope = (y2-y1)/(x2-x1)

m = (4--5)/(-8-3)

m=(4+5)/(-8-3)

m=9/-11

point slope form

y-y1 =m(x-x1)

y--5 =-9/11 (x-3)

y+5 = -9/11(x-3)

8 0

3 years ago

Which of the following equations is equivalent to 36 – 2 = 34?

JulsSmile [24]

Answer: 34 + 2 = 36

Step-by-step explanation:

36 - 2 = 34

Add 2 to this:

36 - 2 + 2 = 34 + 2

36 = 34 + 2

7 0

3 years ago

Points A, B, and C are collinear. Find the value of x given AB = 3x, BC = 5x + 10. and AC = 74.

Mars2501 [29]

Answer:

x = 8

Step-by-step explanation:

since it's a collinerar

or, AB+BC=AC

or, 3x+5x+10 = 74

or, 8x = 74-10

or, 8x = 64

or, x = 64/8

x = 8

6 0

4 years ago