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Natalka [10]
3 years ago
6

What us the y-intercept of the equation 4x + 5y =20

Mathematics
2 answers:
Irina-Kira [14]3 years ago
8 0

We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.

MAXImum [283]3 years ago
3 0

Write equation in slope-intercept format, <u> y = mx + b,</u> where b is the y-intercept.


4x + 5y = 20

5y = -4x + 20

y = -4/5 x + 20/5

<u>y = -4/5 x + 4</u>


y = mx + b

y = -4/5 x + 4

<u>b = 4</u>


Answer: y-intercept = (0, 4)

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Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.
Andreas93 [3]

Answer:  k = {8, -8}

<u>Step-by-step explanation:</u>

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

6 0
4 years ago
In a sample of 66 cabinets, the average height was found to be 32.2in. with a standard deviation of 2.1. Give a point estimate f
andrew11 [14]

Answer:

2.10

Step-by-step explanation:

The point estimate for the population standard deviation of the height of the cabinets equals to the provided standard deviation of the cabinets. Rounding off the given standard deviation which is 2.1 to 2 decimal places as the question requires then the point estimate for the population standard deviation of the height of the cabinets is approximately 2.10 ( 2 decimal places)

7 0
3 years ago
A basketball player makes 60% of his free throws. We set him on the line of free-throw and informed him to shoot free throws unt
pshichka [43]

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

P = 60\%

Convert to decimal

P = 0,6

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

p + q = 1

q = 1 - p

Substitute 0.6 for p

q = 1 - 0.6

q = 0.4

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

Probability = p^5 * q

Probability = 0.6^5 * 0.4

Probability = 0.031104

Hence;

<em>Option B answers the question</em>

7 0
3 years ago
Please help me! Screenshot of question is attached. 15 Points and Brainliest to the correct answer.
ehidna [41]

Hello,

I would love to answer but there is no screenshot to see!


7 0
3 years ago
Can someone plot this for me, can’t tell if i’m wrong.
vaieri [72.5K]
Start at 4 and since it a negative go down one and over one
4 0
3 years ago
Read 2 more answers
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