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DIA [1.3K]
3 years ago
8

What is the value of c

Mathematics
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!

~Just a determined gal

#CarryOnLearning

MysteriousNature :)

3 0
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
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