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lubasha [3.4K]
2 years ago
7

write an equation in slope intercept form parallel to the line y-4=3(x-1) and traveling through the point (-4,3)

Mathematics
2 answers:
stepladder [879]2 years ago
6 0
Y equals 3x plus 15.
jeka942 years ago
5 0

Answer:

y = 3(x - 1) + 4 travels through the point (1 ; 4)

y = 3(x + 4) + 3 travels through the point (-4 ; 3)

y = 3x + 12 + 3

y = 3x + 15 in slope intercept form


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Twenty times y is at most 100 in interval notation
DiKsa [7]

Answer:

y\in (-\infty ,5]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \le

ATQ,

20\times y\le 100

i.e.

20y\le 100\\\\y\le 5

We can also write it as :

y\in (-\infty ,5]

Hence, the required interval notation is y\in (-\infty ,5].

7 0
3 years ago
Two towns are 324 miles apart. on a map they are 4 1/2 apart. the scale of the map is 1
Rom4ik [11]
Shouled be 1:32 if u divide 324/(4.5)
6 0
3 years ago
Find the number of roots for each equation.<br> 5. 5x4 + 12x3 – x2 + 3x + 5 = 0
pav-90 [236]

Answer:

The number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence,  the number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

7 0
3 years ago
Please help ASAP! giving BRAINLIEST if correct! What is the factorization of the polynomial below?
Agata [3.3K]

Answer:

2(x+6)(x+6)

Step-by-step explanation:

splitting the middle term:

2x²+12x+12x+72

then2x(x+6)+12(x+6)

=(2x+12)(x+6)

=2(x+6)(x+6)(by takin common factor out)

plzz mark me brainliest

6 0
3 years ago
A paint manufacturer uses a machine to fill gallon cans with paint​ (1 galequals128 ​ounces). The manufacturer wants to estimate
kvasek [131]

Answer:

a) To determine the minimum sample size we need to use the formula shown in the picture 1.

E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.

E = 0.5/2 = 0.25

Now we apply the formula

n = (1.645*0.80/0.25)^2 = 27.7 = 28

The minimum sample size would be 28.

b) To answer the question we are going to make a 90% confidence interval. The formula is:

(μ - E, μ + E)

μ is the mean which is 127. The formula for E is shown in the picture.

E = 0.80*1.645/√8 = 0.47

(126.5, 127.5)

This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.

7 0
3 years ago
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