All categories

2 years ago

True or false? The quadratic equation 10p2 - 5p = -8 has one solution.

Mathematics

1 answer:

pav-90 [236]2 years ago

6 0

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

a = 10
b = -5
c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

You might be interested in

Explain how to divide tenth by. Tenths

nataly862011 [7]

Dividing by tenths is the same as multiplying by 1
-
10

3 0

3 years ago

The following describes a sample. The information given includes the five number summary, the sample size, and the largest and s

lys-0071 [83]

Answer:

$L= Q_1 - 1.5*IQR = 210 -1.5*40 =150$

$U= Q_3 + 1.5*IQR = 250 +1.5*40 =310$

And if we analyze the info provided we have 500 values

Tails: 160,165,167,171,175,...,268,269,269,269,270,270

So as we can see on the tails any values is <150 or >310 so then for this case we cannot consider as outliers any of the values on the tails of the distribution.

Step-by-step explanation:

For this case we have the 5 number summary

(160,210,220,250,270)

So then we have:

minimum = 160 , Q1 = 210, Q2= Median=220, Q3 = 250, Max=270

If we find the interquartile range we got:

$IQR = Q_3 -Q_1 = 250-210 =40$

For this case we need to find the lower and upper limit with the following formulas:

$L= Q_1 - 1.5*IQR = 210 -1.5*40 =150$

$U= Q_3 + 1.5*IQR = 250 +1.5*40 =310$

And if we analyze the info provided we have 500 values

Tails: 160,165,167,171,175,...,268,269,269,269,270,270

So as we can see on the tails any values is <150 or >310 so then for this case we cannot consider as outliers any of the values on the tails of the distribution.

4 0

4 years ago

Please solve this question!

malfutka [58]

Answer: see answers below

Step-by-step explanation:

(i) The first leaf of the tree is: black = 5/9 and white = 4/9

That means that there are 5 black marbles out of 9 total marbles and 4 white marbles out of 9 total marbles.

Total marbles = 9

Black marbles = 5

White marbles = 4

*******************************************************************************************

(ii)

P(B₂/B₁)

The probability that the 2nd marble is black given that the 1st marble was black.

P(W₂/B₁)

The probability that the 2nd marble is white given that the 1st marble was black.

P(B₂/W₁)

The probability that the 2nd marble is black given that the 1st marble was white.

P(W₂/W₁)

The probability that the 2nd marble is white given that the 1st marble was white.

***********************************************************************************************

(iii) Outcomes (iv) Probability

(B, B) (5/9) x (1/2) = 5/18

(B, W) (5/9) x (1/2) = 5/18

(W, B) (4/9) x (5/8) = 5/18

(W, W) (4/9) x (3/8) = 3/18

Check: Total = 18/18 = 1 $\checkmark$

**********************************************************************************************

(iv) Dependent

Once the first ball is drawn, there is one less ball for the second draw. Therefore, the second draw is dependent on the first draw.

5 0

3 years ago

I need to find the slope-intercept form of this problem in the picture, please I need help!

dsp73

Take two points
(-3, -1) and (1,2)
Find slope
slope formula: m = y2 - y1 / x2 - x1
m = 2 - (-1) / 1 - (-3) = 2 + 1 / 1 + 3 = 3/4
Substitute one of the points into slope intercept form (y =mx + b) to find the y intercept.

y= mx + b
2 = 3/4(1) + b
2 = 3/4 + b
1.25 = b

So:
y = 3/4x + 1.25

7 0

3 years ago

Given that 5 x − 8 y = 32 Find x when y = 1

Alona [7]

Hello there!

5x-8(1)=32

5x-8=32

5x=32+8

5x=40

x=8

Brainliest?

6 0

3 years ago

Read 2 more answers