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4 years ago

Which of the following has a slope of negative 2 and a y-intercept of 4?

Mathematics

1 answer:

kondaur [170]4 years ago

8 0

4................. .....

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What is the result when 124 is increased by 6.5%?

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I believe its 132.06, hoped this helped!

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3 years ago

Write the equation in slope intercept form: -4x-5y=-10 please show your work

Anit [1.1K]

Answer:

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3 years ago

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Find the value of two numbers is there some is 12 and there difference is 4

Mademuasel [1]

You mean their sum is 12?

A) x + y = 12
B) x -y = 4 then we add both equations:
2x = 16
x = 8
y = 4

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3 years ago

Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is

sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

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

Firstly, we will find derivative

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

now, we can set it to 0

and then we can solve for x

$S'(x)=1-\frac{1}{x^2}=0$

$x=-1,x=1$

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

$S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}$

$S(\frac{1}{2})=\frac{1}{2} +2$

$S(\frac{1}{2})=\frac{5}{2}$

At x=1:

we can plug x=1

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

$S(1)=1 +1$

$S(1)=2$

At x=3/2:

we can plug x=3/2

$S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}$

$S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}$

$S(\frac{3}{2})=\frac{13}{6}$

(a)

Smallest value:

The smallest value among them

$S(1)=2$

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

$S(\frac{1}{2})=\frac{5}{2}$

So, a number is $\frac{1}{2}$ ........Answer

6 0

4 years ago

What is (5a2 − 3a + 8) + (−4a2 − 1) + (15a + 11) expressed in its simplest form?

murzikaleks [220]

The Answer is:

(5a2-3a+8)+(-4a2-1)+(15a+11)

3 0

3 years ago

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