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3 years ago

If slope is 1 and the line passes through (3,6) what would the equation be

Mathematics

1 answer:

Fynjy0 [20]3 years ago

7 0

Answer:

y-6=x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1(x-3)

y-6=(x-3)

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In May, jim's lunch account has a balance of $58.19. If lunch cost $2.74 per day,how many days will Jim be able to buy lunch bef

lana66690 [7]

21 days is the answer

58.19/2.74 = 21.23

5 0

3 years ago

Read 2 more answers

The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x

liberstina [14]

Answer:

Domain: set of all real numbers

Range: $y \geq -5$

Step-by-step explanation:

We have to find the domain and range of the function:

$f(x) =5x^2+10x$

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form $ax^2+bx+c$ has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

$x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1$

<em><u>Note: value of a is "5" and b is "10"</u></em>

Now, we plug this into the function to find the minimum value:

$f(x)=5x^2+10x\\f(-1)=5(-1)^2 +10(-1)\\f(-1)=-5$

So, the range is set of all real numbers greater than or equal to -5.

8 0

3 years ago

What is an equation of a parabola with a vertex at the origin and directrix x=4.75?

patriot [66]

An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis. This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75
h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75
-p=4.75
p=-4.75

Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x

4 0

3 years ago

A frog is climbing out of a well that is 12-feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during

vovangra [49]

Answer:

7 hours and 20 minutes.

Step-by-step explanation:

5 0

3 years ago

1,030 at 4% compounded semiannually for 2 years

kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

$A= P(1+\frac{r}{n})^{nt} \\$

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

$A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125$

This rounds up to $1114.91

6 0

2 years ago