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3 years ago

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

Answer:

x=5±√−103/8

Step-by-step explanation:

There's no real solutions

4x2−3x+9−(2x+1)=2x+1−(2x+1)

4x2−5x+8=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(4)(8)/2(4)

x=5±√−103/8

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According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0

3 years ago

Read 2 more answers

A box shaped like a cube has edges that are 7.5 inc

Jet001 [13]

A box of what????? I don't get it

7 0

3 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

2 years ago

Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same

Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ( $(1+r)^{t}$ -1 ) / r .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ( $(1+r/4)^{t}$ -1 ) / r/4

27456 = 1225 ( $(1+r/4)^{20}$ -1 ) / r/4

( $(1+r/4)^{20}$ -1 ) / r/4 = 27456/ 1225

( $(1+r)^{20}$ -1 ) / r = 27456/ (1225 × 4)

( $(1+r)^{20}$ -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0

2 years ago

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Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.

photoshop1234 [79]

The percentile rank for 10 will be 10th.

<h3>What is percentile rank?</h3>

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x 100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5 x 100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5 x 100 = 90th

The percentile rank for 10 will be 10th.

To know more about percentile range follow

brainly.com/question/24245405

#SPJ1

7 0

2 years ago

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x​

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x