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3 years ago

Find the condition that one root of the quadratic equation may be 1 more than the other.

1 answer:

4 0

<span>Let p, np be the roots of the given QE.So p+np = -b/a, and np^2 = c/aOr (n+1)p = -b/a or p = -b/a(n+1)So n[-b/a(n+1)]2 = c/aor nb2/a(n+1)2 = cor nb2 = ac(n+1)2
Which will give can^2 + (2ac-b^2)n + ac = 0, which is the required condition.</span>

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Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall.

Pavel [41]

We must divide the total height by the size of the blocks to work out how many are in the tower
22.5 / 1.5 = 15 blocks

4 0

2 years ago

Read 2 more answers

The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter yo

Elena-2011 [213]

By definition we have that the average rate of change is given by:
AVR = (f (x2) - f (x1)) / (x2 - x1)
Substituting the values we have:
AVR = (204 - (-6)) / (10 - 0)
Rewriting we have:
AVR = (204 + 6) / (10 - 0)
AVR = 210/10
AVR = 21
Answer:
the average rate of change for f (x) from x = 0 to x = 10 is:
AVR = 21

8 0

3 years ago

7.<br>(-3x³)(-2x³y⁴z)(-3z²)÷(4x³z)(-3yz) (-3xyz)

serg [7]

Answer:

$-\frac{x^2y^2}{2}$

Step-by-step explanation:

We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :

Remove the parenthesis to make it easier to read :

$\frac{-3x^3 *2x^3y^4z *3z^2}{4x^3z*3yz*3xyz}$

Multiply the numerators :

$\frac{-18x^6y^4z^3}{4*3*3x^3yyzzz}$

Multiply the denominators :

$\frac{-18x^6y^4z^3}{36x^4y^2z^3}$

Apply the negative rule :

$-\frac{18x^6y^4z^3}{36x^4y^2z^3}$

Cancel the common factor which is 18 :

$-\frac{x^6y^4z^3}{2x^4y^2z^3}$

Apply the addition exponent rule :

$\frac{y^4z^3x^{6-4} }{2y^2z^3}$

Subtract :

$\frac{x^2y^4z^3 }{2y^2z^3}$

Apply the rule for y :

$\frac{x^2y^{4-2} z^3 }{2z^3}$

Subtract :

$\frac{x^2y^2z^3 }{2z^3}$

Cancel the common factor of z^3 :

$-\frac{x^2y^2}{2}$

5 0

2 years ago

Find the probability for choosing a letter at random from the word: Probability P(not P) A.) 1/11 B.) 2/11 C.) 5/11 D.) 10/11

elixir [45]

Answer:

D.) 10/11

Step-by-step explanation:

Here the given word Probability has 11 letters in it. And we have to calculate the Probability of not selecting a letter P from the above word.

So the formula for calculating any probability is Total Favorable outcomes / Total number of outcomes.

Here total number of outcomes are 11 as word Probability has 11 letters.

So the probability of selecting letter P from word Probability = $\frac{1}{11}$

Now the P(not P) = 1 - P(selecting letter P)

= 1 - $\frac{1}{11}$ = $\frac{10}{11}$

6 0

2 years ago

Weapon of math destruction trig. day 1

ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles

The value of x is 11.8310
The tree is 23.3154 feet tall
The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

$\sin(25) =\frac{5}{x}$

Make x the subject

$x =\frac{5}{\sin(25)}$

This gives

$x =11.8310$

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

$\tan(25) =\frac{h}{50}$

Make h the subject

$h = 50 \times \tan(25)$

This gives

$h = 23.3154$

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

$\tan(37) =\frac{h}{500}$

Make h the subject

$h = 500 \times \tan(37)$

This gives

$h = 376.7770$

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

8 0

2 years ago