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noname [10]
3 years ago
5

What is the point on the line given the equation y = 3(x - 4) + 5?

Mathematics
2 answers:
skad [1K]3 years ago
6 0

Answer:

(4,5)

Step-by-step explanation:

(4,5)

You have to put the first number (x) into the equation:

3(4-4)+5=5

if it equals the second number (y), that point is on that line.

Katyanochek1 [597]3 years ago
4 0
The answer is (4,5). Hope this helps
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The point (-3, -5) is on the graph of a function. Which equation must be true regarding the function?
Alecsey [184]

Answer:

f(- 3) = - 5

Step-by-step explanation:

Given the point (- 3, - 5)

where x = - 3 is the input and y = - 5 is the output

The function can be represented by

y = f(x), that is

f(- 3) = - 5

3 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
Solve the equation
Vikki [24]

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

4 0
3 years ago
Function p is in the form y = ax2 + c. If the values of a and c are both less than 0,
lubasha [3.4K]

Answer:

where is the graph??????????????

3 0
3 years ago
Read 2 more answers
A circle has an area of 314.1592. What is the diameter? (round to the nearest whole number)
ad-work [718]

Answer:

20

Step-by-step explanation:

The area of a circle is equal to pi*radius^2

We can then write this as

314.1592=π*r^2

We then divide pi to get

100=r^2

take the square root and you find that the radius equals around 10

The diameter is always equal to the radius times two which means that the diameter is 20

hope this helps

8 0
3 years ago
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