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2 years ago

Enter values for the slope, m, and the y-intercept,b

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer:

y = 2x + -5

Step-by-step explanation:

If you look at the graph, you can find that the slope is 2/1 which is simply just a slope of 2. The y-intercept can be found x = 0, so plug in 0 for x, solve from there and you get -5 for the y-intercept.

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Write an equation of the line. y = _____ Use x as your variable.

muminat

Answer:

y= -2x+15

Step-by-step explanation:

5 0

2 years ago

Can somebody please clearly (and correctly) explain how to successfully work out this question?

STatiana [176]

Answer:

Step-by-step explanation:

To calculate the number of tiles needed

divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row

divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column

number of tiles = 20 × 15 = 300

number of packs = 300 ÷ 10 = 30

cost = 30 × £34.99 = £1049.70

Since she has £1000 to spend and £1049.70 > £1000

She does not have enough to cover the wall

6 0

2 years ago

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

2 years ago

Brainliest if answered fist 20% markdown on $150 shoes. How much are the shoes

Akimi4 [234]

Answer:

$120

Step-by-step explanation:

150-20%

For some reason it says that my response has to be 20 characters long that's why I'm typing this.

3 0

2 years ago

Question 1 of 10

Archy [21]

Answer:

A. y = 7(x + 1)²-3

Step-by-step explanation:

Parabola:

$y = 7x^{2} + 14x + 4$

$y = 7(x^{2} + 2x) + 4$

Putting into vertex form, remember that:

$(x + a)^{2} = x^{2} + 2ax + a^{2}$

In this question:

$x^{2} + 2x$ , to put into this format:

$x^{2} + 2x + 1 = (x + 1)^{2}$

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:

$y = 7(x^{2} + 2x + 1) + 4 - 7$

$y = 7(x + 1)^{2} - 3$

So the correct answer is:

A. y = 7(x + 1)²-3

3 0

2 years ago