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Svetlanka [38]
3 years ago
8

What is 5x + 8y =16 in slope intercept form

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

ABOUT SLOPE INTERCEPT FORM:

  • y = mx + b
  • m represents the slope
  • b represents the y-intercept

You have to get y by itself:

5x + 8y = 16

-5x          -5x

<u>8y = -5x + 15</u>

8             8

y = -5/8x + 15/8

OR

I you wants to simplify 15/8, it's this:

y = -5/8x +1.875

HI!!! Really really sorry if I'm incorrect...



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I have like five of these so I'm sorry.
myrzilka [38]

Answer:

z ≥ -5/6

Step-by-step explanation:

10z - 2 ≥ 4z - 7

6z ≥ -5

z ≥ -5/6

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2 years ago
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I have been on this question for so long if anyone can help me I would greatly appreciate it. Thank you
Phoenix [80]

Answer:

Step-by-step explanation:

let x be the number

2(x+8)=-4x+4

2x+16=-4x+4

6x=-12

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3 years ago
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A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
Sam made a password that consists of one letter followed by two digits. The two digits are different. How many possible password
slega [8]

Answer:

720

Step-by-step explanation:

8 0
3 years ago
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The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = C(n,k) not nk

7 0
3 years ago
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