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ANEK [815]
3 years ago
12

Where do the slope and y-intercept show up in the tables and graphs?

Mathematics
2 answers:
Gennadij [26K]3 years ago
5 0
Positive side of graph?
natima [27]3 years ago
4 0

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

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Carla buys a dress for $20.00 she pays 7 percent sales tax .. How much does she pay for the dress with tax?
BaLLatris [955]

Answer:

Carla pays $21.4 for the dress with tax.

Step-by-step explanation:

Here we are given that :

Price of dress = $20

Sales tax = 7%

Price of dress with tax = $20 + 7% of 20

Price of dress with tax = 20+1.4 = 21.4

Price of dress with tax = $21.4

Carla pays $21.4 for the dress with tax.

4 0
3 years ago
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elai
vivado [14]

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

5 0
3 years ago
Read 2 more answers
help asap! Write an expression equivalent to [5x²]-[15x] that is a product of two expressions. Fill in the blanks with numbers,
adoni [48]

Answer: 5x (x-3) or 5(x^2-3x)

Step-by-step explanation:

3 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
Which of these functions had a greater rate of change than the function graphed below, and why?
Mrac [35]

Answer:

C

Step-by-step explanation:

When we talk of rate of change, we talk of the slope of the line

If we had a line;

y = mx + b

m is the slope ( which is the rate of change)

To get the slope of the line, we select any two points on the line and apply the slope formula

m = y2-y1/x2-x1

let us take points (0,0) and (3,9)

m = 9-0/3-0 = 9/3 = 3

The slope here is 3

so from the option, we can see that the third option is the correct answer

7 0
2 years ago
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