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3 years ago

The sum of two consecutive odd integers is 128. find the two integers.

2 answers:

7 0

<span>Call the first odd number x.
That means the next odd number would be x+2.
For example, if the first odd number is 9 then the next one would be 11, which is why it is plus 2. Okay?

So then, x+x+2=128
2x+2=128
2x=126
x=63
x+2=65
Thus, the two consecutive odd numbers are 63 and 65.

Hope I helped :)</span>

mars1129 [50]3 years ago

3 0

Let's make an equation where y is the largest number.
x+y=128
Since odd consecutive numbers are two away, we can make an equation for y.
x+2=y; let's plug that in for y in the first equation.
x+x+2=128; let's add like terms.
2x+2=128; let's subtract 2.
2x=126; let's divide.
126÷2=63=x
If x is 63, y is 65.
So the two numbers are 63 and 65.

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Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1

elena55 [62]

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

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3 years ago

Write one number that is a factor of 13.

maw [93]

Answer: 1 and 13

Step-by-step explanation: To find the factors of 13, begin by dividing 13 by 1 which gives us 13. This tells us that 1 and 13 are factors of 13.

13 is a prime number which means it only has two factors which are 1 and 13.

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3 years ago

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in the previous problem , ken predicted a drop in temperature . Explain why a drop in temperature would lead to adding a negativ

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3 years ago

Can anyone help with these ? I'll give brainlyiest to anyone that can help with all of them! :) Thank you in advance .

Julli [10]

Answer:

1. (a) A function is a mapping $f:x\rightarrow y$ where there should be different values of y for different x.

So, given ordered pairs:

(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)

It is not a function because there are multiple y values for single x-value.

Option 2 is correct.

(b) We need to find range of the function f(x)= -4x +1

So, we have given the domain which means the value of x we will put thses given values of x to find y

Values of y is the range in a function

So, given domain is: {-5,-1,0,2,10}

When $x= -5$

$y=-4(-5)+1=21$

When $x=-1$

$y=-4(-1)+1=5$

when $x=0$

$y=-4(0)+1=1$

when $x=2$

$y=-4(2)+1=-7$

when $x=10$

$y=-4(10)+1=39$

So, Range is: {-39,-7,1,5,21}

Option 1 is correct.

(c) We have given a function $v(c)=98c$

Where c is the number of cup jug of milk which is 16.

Put c=16 in given function

$v(c)=98\cdot 16$

$v(c)=1568$

So, c=16, v(c)=1568 is reasonable domain and range of the function.

Option 1 is correct.

(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)

So, the inverse means values of x and y interchange.

So, the required inverse is: (2,1) ,(4,3) ,(8,6)

Option 3rd is correct.

2. We need to find the inverse of given scatter plot in which we have to find the inverse

So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)

So, in inverse values of x and y interchange

So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)

Attached is the scatter plot inverse

Graph 1 is correct.

3.We have been given a function:

$f(x)=3x$

So, f(x)=y

That is $y=3x$

We will find x from above equation we get

$x=\frac{y}{3}$

Now, interchange x and y

$y=\frac{x}{3}$

$\Rightarrow f(x)=\frac{x}{3}$ is the required inverse

Therefore, option 3rd is correct.

5 0

3 years ago