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3 years ago

Can someone solve this for me?

Mathematics

1 answer:

galben [10]3 years ago

7 0

9514 1404 393

Answer:

x = (-3 ± i√31)/8

Step-by-step explanation:

There is nothing to solve. It can be simplified to ...

x = (-3 ± i√31)/8

x = (-3/8) +i(√31)/8 or (-3/8) -i(√31)/8

Factoring -1 from under the radical puts i (the imaginary unit) in front of the radical. A factor of 2 can be removed everywhere.

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The accompanying table shows the value of a car over time that was purchased for

Dafna1 [17]

The value of the car after 11 years is $3137.18

<h3>exponential function</h3>

An exponential function is in the form:

y = abˣ

where a is the initial value of y, b is the factor, y, x are variables.

Let y represent the value of the car in dollars after x years. From the table:

When x = 0, y = 12700, hence:

12700 = ab°
a = 12700

When x = 2, y = 9849, hence:

9849 = 12700b²
b = 0.8806

The exponential function is:

y = 12700(0.8806)ˣ

For 11 years:

y = 12700(0.8806)¹¹ = 3137.18

The value of the car after 11 years is $3137.18

Find out more on exponential function at: brainly.com/question/12940982

3 0

2 years ago

URGENT!!!! What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth. 9.23 units 10.20 units 10.9

serg [7]

The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
A(x₁,y₁) & B(y₂,y₁)

AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2

8 0

3 years ago

Read 2 more answers

What are the values of the trigonometric ratios for this triangle?

Zigmanuir [339]

Answer:

sin© = 3/5

Cos© = 4/5

Tan© = 3/4

Explanation:

The opposite (opp) side of the right angle triangle is the side facing the angle ©

The hypothenus (hyp) side is the longest side,

The adjacent (adj) side is the third side.

sin© = opp/hyp

Cos© = adj/hyp

Tan© = opp/adj

3 0

3 years ago

Can someone pls pls help me ?

Yakvenalex [24]

9514 1404 393

Answer:

a = 9 meters

Step-by-step explanation:

The perimeter is the sum of the side lengths:

28 m = a + 2m + a + 8m

18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms

9 m = a . . . . . . . . . . . . . . . divide by 2

The value of a is 9 meters.

8 0

3 years ago

Which expression is the factorization of x2 + 10x + 21?

LiRa [457]

<h2>Solution:</h2>

Equation: x² + 10x + 21

Step 1: Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

Step 2: Get the new equation bracketed → (x² + 7x) (+3x + 21)

Step 3: Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3>Final answer:</h3>

(x+3) (x+7)

<h3 />

4 0

2 years ago