All categories

3 years ago

What is the Y-INTERCEPT of the line 2x + 4y = 10? Type your answer as an ORDERED PAIR and leave your answer as a FRACTION.

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

(0, 2.5)

Step-by-step explanation:

You might be interested in

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

What is the solution to x ? <br><br> 7/3x + 1/3x = 3x + 6/3 + 5/3x

nignag [31]

7/3x+1/3x=3x+6/3+5/3x
8/3x-5/3x=3x+6/3
3/3x=3x+6/3
x=3x+6/3
x-3x=6/3
-2x=2
-x=2/2
-x=1
x=-1

7 0

4 years ago

Problem #2 A, B,C,D,E

PilotLPTM [1.2K]

2x+4

2(x+4)

(x/5)+6

(x+6)squared

X-5/x

4 0

4 years ago

Read 2 more answers

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to

Maksim231197 [3]

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

<h3>What is the function in this problem?</h3>

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

4 0

2 years ago

Does anyone know the answer to these problems if you know the answer for the first question then put 5. and your answer same goe

Anettt [7]

Number 5) A hill that rises 2 feet for every 10 feet of run. Because a longer run is not as steep as a short run.

Number 6) They all are parallel, they do not intersect.

6 0

4 years ago