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Ilia_Sergeevich [38]
3 years ago
11

Help me with this problem please

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
It makes more sense to start with parts (c) and (d), then answer parts (a) and (b).

(c) The plot is below.

(d) Mixtures that are the same color have the same ratio of blue to yellow. They fall on the same line.

(a) There are two (2) different shades of paint mixtures.

(b) Shades A and C are the bluest. Their ratio of blue to yellow is the highest. (The slope of the line connecting their dots to the origin is the steepest.)

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PLEASE HELP!! Algebra 2
lawyer [7]

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

8 0
3 years ago
Do you know. How to solve these?
trapecia [35]
It is E. 25:10 simplifies to 5:2.
7 0
3 years ago
Read 2 more answers
1. X-2y7-8<br> xty2 1<br> X-2y&gt;-8<br> X+y&gt;1
Crank

Answer:

x+y>1

Step-by-step explanation:

4 0
3 years ago
Striking a tuning fork harder makes the sound coming from the fork louder. This changes the _________ of the sinusoidal graph.
Vera_Pavlovna [14]

Answer:

Amplitude.

Step-by-step explanation:

Loudness of a sound wave is proportional to its amplitude of vibration.

3 0
3 years ago
Can someone please help me I really need help please help me please help me thank you
alekssr [168]

Answer:  None. The question asks about $4 per hour.

Step-by-step explanation:   The cost changes by $4 every 2 hours.

That is $2 per hour.

6 0
3 years ago
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