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NikAS [45]
2 years ago
12

Find the slope-intercept equation of the line that passes through (0,1) and has a slope of -2/3

Mathematics
1 answer:
xeze [42]2 years ago
7 0

Answer:

y = -2/3x + 1

Step-by-step explanation:

We already know the slope, so all we need to do is find the y-intercept. To find that, we need to plug the coordinates into the equation so far, which is,

y = -2/3x + b

1 = -2/3(0) + b

1 = 0 +b

1 = b

So the equation is y = -2/3x + 1

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What is the answer?
Bad White [126]

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

8 0
2 years ago
What is the true solution to the logarithmic equation below?<br> log₂ (6x)-log₂ (√x)=2
slega [8]

Answer:

The true solution is x=4/9

EXPLANATION

The logarithmic equation given to us is

We need to use the quotient rule of logarithms.

When we apply this law the expression becomes

We now take the antilogarithm of both sides to get

We square both sides to get,

We evaluate to obtain,

This simplifies to

We divide both sides by 36 to get

We simplify to get,

6 0
2 years ago
Read 2 more answers
HELPPPPPPP HELP HELP HELP HELP
anzhelika [568]

Answer:

13 units

Step-by-step explanation:

Im doin this in class to so i got you

the equation would be d=(8-(-5))2-(-3-(-2))2

Next solve in the parenthesis 13 power of 2 +-1 power of 2

Then do the powers 169+1

d=170

Then you square 170 which is 13.03840481

That simplifies to 13

yayyyy

8 0
2 years ago
Factor completely 50a2b5 − 35a4b3 + 5a3b4
Andreyy89

The complete factorisation of 50a²b⁵ − 35a⁴b³ + 5a³b⁴ is 5a²b³(10b² - 7a² + ab)

<h3>How to factorise?</h3>

Factorisation is the process of writing an expression as a product of two or more common factors.

The expression is written as a product of several factor.

Therefore,

50a²b⁵ − 35a⁴b³ + 5a³b⁴

Hence, the complete factorisation is as follows;

5a²b³(10b² - 7a² + ab)

learn more on factorisation here: brainly.com/question/2272501

#SPJ1

7 0
1 year ago
Simplify ech answer into a fraction, Show all work please!
Gnom [1K]

Answer:

the first one is -9/40. the second one is 109/20. the third one is -8/35.

Step-by-step explanation:

here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.

6 0
2 years ago
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