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3 years ago

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What is the value of c

1 answer:

Veseljchak [2.6K]3 years ago

5 0

X^2 + 6x = 13. We are to "complete the square."

x^2 + 6x + (6/2)^2 - (6/2)^2 = 13

Then (x+3)^2 - 9 = 13, or (x+3)^2 = 22.

then x+3 = plus or minus sqrt(22), or x = -3 plus or minus sqrt(22).

Given x^2 + 6x = 13, to complete the square we insert " 3^2 - 3^2 " between the "6x" and the "=" sign.

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A new clothing store is offering 30 free points to customers who sign up for their rewards card. Then for each shirt a customer

algol [13]

P = 3n + 30
p = 75
75 = 3n + 30
45 = 3n
n = 15
A customers earns 15 additional points on purchasing one shirt.

8 0

3 years ago

Read 2 more answers

How do I simplify 12+2c+6d-8c+d

sveta [45]

Hello there! :)

12+2c+6d-8c+d

Combine like terms:

2c-8c+d+6d+12

-6c+7d+12

Hope this helps!

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3 years ago

Read 2 more answers

Please help me out with thissss

vova2212 [387]

Answer:

Step-by-step explanation:

From table 1,

f(x) = bˣ

For x = -1,

f(-1) = 0.5

0.5 = (b)⁻¹

b = $\frac{1}{0.5}$

b = 2

For x = 1.585,

f(1.585) = 3

3 = $2^{1.585}$

3 = $2^{1}\times2^{0.585}$

$2^{0.585}=\frac{3}{2}$

$2^{0.585}=1.5$

For x = 2.585,

f(2.585) = $2^{2.585}$

= $2^{2}\times 2^{0.585}$

= 4 × 1.5 [Since, $2^{0.585}=1.5$ ]

= 6

From table 2,

g(x) = $\text{log}_b(x)$

For x = 0.5,

g(0.5) = -1

-1 = $\text{log}_b(0.5)$

b⁻¹ = 0.5

b = 2

For x = 2,

g(2) = 1

1 = $\text{log}_2(2)$

For x = 6,

g(6) = 2.585

2.585 = $\text{log}_2(6)$

2.585 = $\text{log}_2(2\times 3)$

2.585 = $\text{log}_2(2)+\text{log}_2(3)$

2.858 - 1 = $\text{log}_2(3)$

$\text{log}_2(3)=1.585$

For x = 3,

g(3) = $\text{log}_2(3)$

g(3) = 1.585

8 0

3 years ago

Grant takes an Uber from his hotel to a restaurant. The cost of the Uber is a $2.95 initial charge plus $2.25 per mile. Which eq

Papessa [141]

The answer is Y= 2.25x+2.95

6 0

3 years ago

I need help with Geometry

ehidna [41]

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

5 0

2 years ago