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Akimi4 [234]
3 years ago
5

Solve 2(x + 1) = 2x + 5 - all real numbers -no solution -0 -3

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0
For this question I’m sure it’s ‘all real numbers’
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I need help and it is y intercept and x intercept
Neporo4naja [7]

Answer:

y-intercept (0, -3) and x-intercept (3/2, 0)

Step-by-step explanation:

y + 5 =2(x + 1)

y + 5 =2x + 2

subtract 5 from both side

y =2x -3

-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.

To find the x-intercept, we need to plug in 0 for y in y =2x -3

0=2x -3

add 3 to both sides

2x=3

divide both sides by 2

x=3/2 and so the x-intercept is 3/2 and it always starts at 0.

5 0
4 years ago
The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ
sweet [91]

Answer:

The value of k =3

Step-by-step explanation:

x^2+y^2-6y-12=0 We need to solve this equation to become in standard form to find the value of k.

x^2+y^2-6y-12=0\\x^2+y^2-6y = 12\\(x)^2 +(y^2-2(y)(3)+(3)^2) = 12 +(3)^2\\(x)^2+(y-3)^2 = 12+9\\(x)^2 +(y-3)^2 = 21

The given standard form is:

x^2+(y-k)^2=21

Comparing it with (x)^2 +(y-3)^2 = 21

The value of k =3

3 0
3 years ago
Read 2 more answers
If -4 + x is located to the left of -4 on a number line, what does it say about x?
n200080 [17]

Answer:

it is negative

Step-by-step explanation:

a negative plus a negative make a more negative number

8 0
3 years ago
Worth 60 points
alex41 [277]

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}

Substitute the found value of x into one of the equations, and solve for y:

y=3\left(\dfrac14\right)+1=\dfrac74

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

\left(\dfrac14,\dfrac74\right)

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

3 0
2 years ago
You know of a relative who is addicted to pain killers. Due to his history, 2.3g of Tylenol per day is dangerous. He takes 200 m
Nezavi [6.7K]

Answer: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.

each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.

this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:

4*N*200mg = 2300mg

4*N = 2300/200 = 11.5

N = 11.5/4 = 2.87

if you round up this number, you will end up taking more than 2.3g of tylenol per day, this implies that N must be equal to 2.

So your relative needs to take maximum 2 tablets per day.

7 0
3 years ago
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