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FinnZ [79.3K]
2 years ago
14

What is the discriminant of the quadratic equation 2x + 5x = 1? 0-18 0-16 022 24

Mathematics
2 answers:
PSYCHO15rus [73]2 years ago
8 0

The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.

--

Use this formula

  • b²-4ac

Plug in

You get 24

Zinaida [17]2 years ago
5 0

Answer:

24

Step-by-step explanation:

<u>Discriminant</u>

b² - 4ac   (when ax² + bx + c = 0)

Assuming the given equation is:   2x + 5x² = 1

Rewrite the equation so that it equals zero:

⇒ 5x² + 2x - 1 = 0

Therefore,  a = 5    b = 2    c = -1

Input these into the discriminant formula and solve:

⇒ 2² - 4(5)(-1) = 4 + 20

                      = 24

Therefore, the discriminant of the quadratice equation is 24.

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What is the midpoint of a segment with endpoints at(-4,-8) and (8, 10)?
vekshin1

Answer:

The answer is

<h2>( 2 , 1)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-8) and (8, 10)

The midpoint is

M = ( \frac{ - 4 + 8}{2}  , \:  \frac{ - 8 + 10}{2} ) \\  = ( \frac{4}{2} ,  \frac{2}{2} )

We have the final answer as

<h3>( 2 , 1)</h3>

Hope this helps you

4 0
3 years ago
Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in
solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3

A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58

Interest is A-P= 51411.58-43000= 8411.58=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68

Interest isA-P=51213.68-43000= 8213.68= $8213.68

calculating the diference in interest between the two options we have

8411.58-8213.68= 197.9= $197.9

Option A earns higher interest

8 0
3 years ago
write an equation in slope-intercept form of the line that passes through the given point and given slope, (-5,-3);slope =-3/5
arsen [322]

Answer:

y=\frac{-3}{5}x-6

Step-by-step explanation:

Hi there!

We are given the point (-5, -3), and a slope of -3/5

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation

y=\frac{-3}{5}x+b

We need to find b, though

We can use (-5, -3) to help us, as the equation will pass through that line

Substitute the value of x as -5 and the value of y as -3 to solve for b

-3=\frac{-3}{5}*-5+b

Now, on the right, multiply -3/5 and 5 together

-3=3+b

Subtract 3 from both sides

-6=b

Substitute 6 as b in the equation

y=\frac{-3}{5}x-6

Hope this helps!

4 0
3 years ago
Simplify: a + 4b+9 +6a +2a
Anit [1.1K]

Answer:

9a + 9 + 4b

Have a wonderful day!  :D

3 0
3 years ago
Read 2 more answers
Kyle has 2 3/4 pounds of flour. He wants to divide the flour into 3 equal-sized
marta [7]
About .92 lbs or 11/12 lbs in each bag
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3 years ago
Read 2 more answers
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