Which of the following correctly expresses the number below in scientific notation0.00000171

Refer to the number line. Find the coordinate of point D that is 7/16 M to J. of the distance from M to J.

Usimov [2.4K]

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:

If point D(x, y) is 7/16 M to J, then:

x = (7/16)(4 - 20) + 20 = 13

y = (7/16)(17 - 1) + 1 = 8

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

Find out more on equation at: brainly.com/question/2972832

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4 0

2 years ago

What is 5/11 in decimal form? (round your answer to the nearest hundredth.)?

natita [175]

5/11 in decimal form is .45

4 0

3 years ago

A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter

DIA [1.3K]

Answer:

315 jars

Step-by-step explanation:

This question is merely another way of writing: what is 35% of 900?

Now, when we look at it that way, it's easy to solve.

So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.

I hope this helped a bunch! Tell me if you need any further assistance...

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5 0

3 years ago

Let f(x)=x2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4?

goblinko [34]

Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

$f(x) = x^2-2x-4$

we have to find the average rate of change from x = -1 to x = 4

At x = -1

$f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1$

and

at x = 4

$f(4) = (4)^2-2(4)-4 = 16-8-4 = 4$

Substitute these in [1] we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}$

⇒ $A(x) = \frac{4-(-1)}{4+1}$

⇒ $A(x) = \frac{5}{5}$

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

4 0

3 years ago

Read 2 more answers

Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr

Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

$\frac{1}{3}$ + $\frac{1}{3}$ = $\frac{2}{3}$ , because the evaluation of the denominator always results to a non-zero integer.

The product of $\frac{1}{3}$ x $\frac{1}{3}$ = $\frac{1}{9}$ , which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

$\frac{1}{3}$ x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

$\frac{1}{3}$ + 7 = 7 $\frac{1}{3}$ , which is a whole number and fractional number combined.

4 0

3 years ago