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Alex787 [66]
3 years ago
13

What is the equation of the line that passes through the points (4,5) and (6,4)?

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

y=(-1/2)x+7

Step-by-step explanation:

y=mx+b

find slope (m)-> (4-5)/(6-4)

find y-intercept (b)-> 4=(-1/2)6+b

m= -1/2

b= 7

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1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h
iren [92.7K]

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

6 0
3 years ago
Read 2 more answers
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne
Thepotemich [5.8K]

Answer:

this is the correct answer happy

6 0
2 years ago
What is the product of (2x+9) (x+1)? Please and thank you.
Goshia [24]
2x^2 + 11x + 9 

You can foil it to get the correct answer, (FOIL = First, Outter, Inner, Last)


7 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST IF CORRECT!
kotykmax [81]

Answer:

\lim_{x \to -\infty} f(x)= - \infty \\  \lim_{x \to \infty} f(x)= -\infty

Step-by-step explanation:

f(x)=-x^4-x^3+3x^2+1

The question wants you to determine the end behavior of this polynomial function.

In order to determine the end behavior of polynomial functions, you want to look at the polynomial in its general form. This means that the variables have powers that are in descending order.

Look at the leading term of the polynomial in general form. Here, the function f(x)=-x^4-x^3+3x^2+1 is in general form, so we can look at the first term (term with the highest power).

The leading term for this polynomial function is -x^4. The leading term has the highest power; therefore, its behavior will dominate the graph shape.

When graphed, this function will behave similarly to an upside down parabola.

Based on the leading term, we can see that the leading coefficient is -1 and the degree is 4.

Look to see if the degree is <u>even/odd</u>, and if the leading coefficient is <u>negative/positive</u>.

The degree of 4 is even, and the leading coefficient of -1 is negative.

When the degree is even and the LC is negative, the graph of the polynomial function falls to the left and falls to the right.

Therefore, if the end behavior falls to the left and falls to the right, that means that as x approaches negative infinity and positive infinity, the y-values will approach negative infinity and negative infinity on either side of the graph.

The answer is the rightmost option:

\lim_{x \to -\infty} f(x)= - \infty \\  \lim_{x \to \infty} f(x)= -\infty

4 0
2 years ago
A company wants to have $20,000 at the end of a ten-year period by investing a single sum now. How much needs to be invested in
Sergio039 [100]

Answer:

<h2>Principal is $6441.22 </h2>

Step-by-step explanation:

let us assume  the investment is compounded over the given period

Given data

Final amount A= $20,000

Rate r= 12%= 0.12

Time t= 10 years

principal=?

The compound interest formula is

A= P(1+r)^n^t

Substituting our given data we have

20000= P(1+0.12)^1^0\\20000= P(1.12)^1^0\\20000= P(3.105)\\

Dividing both side by 3.105 to find P

P=\frac{20000}{3.105} \\P= 6441.22

Principal is $6441.22

4 0
3 years ago
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