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3 years ago

4 miles out of 166 miles.

Mathematics

1 answer:

mylen [45]3 years ago

6 0

Answer:

166 - 4 = 162

Step-by-step explanation:

Your question mad no sense !!

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Question

Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when x = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for a. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

7 0

3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

4 years ago

(please help!) Add −1.25+2.5 Plot the first addend and the sum on the number.

AVprozaik [17]

Answer:

the answer of this question is 1.25

3 0

3 years ago

Read 2 more answers

Solve 2x + 4y = -8 and 4x + 8y = 5 by elimination. Please show work on how to get the answer.

goldfiish [28.3K]

Answer:

No solution

Step-by-step explanation:

Given two equations are 2x+4y= -8 and 4x+8y= 5

These two lines are parallel They don't have a solution because they do not meet .

Multiply the first equation by 2 we get 4x+8y = -16

the other equation is 4x+8y= 5 clearly these two are parallel .

To prove by elimination method we have subtract those two equations we get 21≠0 which is not possible.

Therefore there is no solution to the given set of equation.

5 0

3 years ago

slope-intercept form for the line that passes through (-1,-7) and is perpendicular to the graph of 3x+12y=-6

Mrac [35]

Answer:

Step-by-step explanation:

We first need to find the slope of the given line. Putting that standard form of a line into slope intercept:

12y = -3x - 6 so

$y=-\frac{1}{4}x-\frac{1}{2}$

In this form we can easily determine that our slope is -1/4. That means that the perpendicular slope, the opposite reciprocal, is +4. We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form. y - (-7) = 4(x - (-1)) and

y + 7 = 4x + 4 so

y = 4x + 4 - 7 so

y = 4x - 3

7 0

3 years ago