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2 years ago

If y=4 when x= -4, find y when x=7

Mathematics

1 answer:

Alexxx [7]2 years ago

4 0

Answer:

Answer:y=-7

Step-by-step explanation:

When x=-4 then y=4 and if x=7 then y=-7

Because y=-x

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6. The population of a town is 680 000 correct to the nearest 10 000. Write down

serg [7]

Answer:

a) 675 000

b) 685 000

Step-by-step explanation:

The population of a town is 680 000 correct to the nearest 10 000.

a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000

The lower bound is:

680 000-5000=675,000

Therefore the least possible population of the town is 675 000

b) We repeat the same process to find the upper bound

680 000+5000=685,000

6 0

3 years ago

(7 + 41) ÷ 2 – 15 =? Find the solution for this question.

koban [17]

precedence is:

1 Parentheses (simplify inside 'em)

2 Exponents

3 Multiplication and Division (from left to right)

4 Addition and Subtraction (from left to right)

(7+41) = 48

48 ÷ 2 = 24

24 -15 = 9

6 0

1 year ago

Read 2 more answers

Find the missing digit of the following UPC code 0, 2, 8, 5, 0 ,0, 1, 1, 0, 7, 0 ■

olga nikolaevna [1]

It’s the square and the number woidl be 0

6 0

2 years ago

Solve this for the brainlist

ella [17]

Answer:

22.4

Step-by-step explanation:

using altitude theorem, the height of the triangle is 20

let y = height

10/y = y/40

y² = 400

y = $\sqrt{400}$ or 20

Now we can us the Pythagorean Theorem to find 'x':

10² + 20² = x²

100 + 400 = x²

x= $\sqrt{500}$ ≈ 22.4

8 0

2 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0

2 years ago