All categories

2 years ago

Find the equation of the line with gradient-4, which cuts the y-axis at 7.

Mathematics

1 answer:

Flura [38]2 years ago

5 0

Answer:

y = - 4x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Here m = - 4 and c = 7, thus

y = - 4x + 7 ← equation of line

You might be interested in

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply. a) the function is exponentioal b)The initial va

AnnyKZ [126]

Answer:

a) The function is exponential

c) The function increases by a factor of 2.5 for each unit increase in x.

d) The domain of the function is all real numbers.

Step-by-step explanation:

Exponential functions are written y = a(b)ˣ.

a) the function is exponential is true.

"a" represents the initial value, or the y-intercept.

"b" represents the rate of increase or decrease.

"x" and "y" represent points on the function.

Since a = 3, the initial value is 3.

b) The initial value of the function is 2.5 is false.

Since b = 2.5, the rate of change is 2.5

c)The function increases by a factor of 2.5 for each unit increase in x is true.

When you graph the function, (see graph below), you can see the information clearly.

The domain means how far the graph will go left to right. The graph will continue left to negative infinity, and will continue to the right to positive infinity. This make the domain all real numbers.

d)The domain of the function is all real numbers is true.

The range is how far up or down the graph will reach. Exponential functions have a horizontal asymptote, which is where the graph gets very close to touching a horizontal line, but never will. The asymptote is on the left of the y-axis. The range is all real numbers greater than 0.

e)The range of the function is all real numbers greater than 3 is false.

"3" is the initial value, but the graph extends behind the y-axis too.

9 0

2 years ago

the total cost for a week at camp is $220. You have $140. You earn $16 for every item you sell in a fundraiser. How many items d

jeka94

5 times,

220 - 140 = 80

80 divided by 16 equals 5.

to double check, you can do 5 x 16 to get 80.

8 0

2 years ago

Read 2 more answers

Lukas graphed the system of equations shown. 2x + 3y = 2 y = x + 3 What is the solution to the system of equations? (–2, 2) (0,

Hitman42 [59]

The closest answer that I could find would be (-2, 2). The answer to the system is (-1.4, 1.6)

3 0

2 years ago

Read 2 more answers

For the function y= -1+6cos(2pi/7(x-5)) what is the maximum value?

nata0808 [166]

The maximum value is actually the maximum of y

So, you don't need to care about the stuff inside cosine function,

Cosine function is always within the range of [-1,1]

So here, ymax = -1 + 6* 1 = 5

4 0

2 years ago

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco

Mars2501 [29]

Answer:

Mortgage option (3) would be best suited for them.

Step-by-step explanation:

Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.

Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.

6 0

2 years ago