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Illusion [34]
3 years ago
8

3. Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

recall that point-slope form of a linear equation is expressed as follows

y - y1 = m (x - x1)

where m = slope and (x1, y1) is the coordinate of any point on the line

so, here we have m = (3/5), x1 = 4 and y1 = -6

substitute these into the formula

y - (-6) = (3/5) (x - 4)

y + 6 = (3/5) (x - 4)----> answer

kipiarov [429]3 years ago
5 0

Answer:

\boxed{\text{B. }y + 6 =\dfrac{3}{5}(x - 4)}

Step-by-step explanation:

The point-slope formula for a straight line is

y - y_{1} = m(x - x_{1})

x₁ = 4; y₁ = -6; m = ⅗  

Substitute the values

\begin{array}{rcl}y - (-6) & = & \dfrac{3}{5}(x - 4)\\\\y + 6 & = & \dfrac{3}{5}(x - 4)\\\\\end{array}\\\text{The equation for the line is $\boxed{\mathbf{y + 6 =\dfrac{3}{5}(x - 4)}}$}

The figure shows the graph of the equation with slope ⅗ passing through (4,-6).

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Why does the value of money in a savings account increase over time? A. because it earns interest B. because future value is alw
vodka [1.7K]

Answer:

A. because it earns interest

Step-by-step explanation:

The interest rate is the gaining that you make for keeping your money in the bank. Suppose you have $100 and the bank offers you a 5% annually interest rate. The rate (5%) means that your money will earn five percent of the value each year, so after the first year you will earn (5%)*($100) = $5 of interest just for keeping your money in your savings account. Therefore, your money will grow overtime because it is earning interest. Remember that interest can be compound (over periods) or simple (like our example).

8 0
3 years ago
Read 2 more answers
Which equation is equivalent to 3 = 87 - h?
kow [346]

Answer:

h = 84

Step-by-step explanation:

3 = 87 - h

h + 3 = 87  (Add h to both sides)

h = 84 (Subtract 3 from both sides)

8 0
3 years ago
What number is 25% of 400 please show work thank you
ANEK [815]

Answer:

100

Step-by-step explanation:

well, you can just use a calculator, or your mind if that's possible, to solve this.

at least, what i think you're asking.

400 × 0.25 = 100.

this one is extra easy because you should know that 25% is a quarter, and 400 can just be divided by 4 to get your answer.

6 0
2 years ago
At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

7 0
3 years ago
Help help help help help help help help help help
AysviL [449]

Answer:

1/4

GO GOOD LUCK

Step-by-step explanation:

U doing IXL? LOL

make me brainliest please

7 0
2 years ago
Read 2 more answers
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