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2 years ago

I will make u a brainliest plz help me

Mathematics

2 answers:

satela [25.4K]2 years ago

6 0

Answer: B) Infinitely many solutions; both equations are equivalent

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Work Shown:

x+y = 4 ... start with the first equation

x + (-x+4) = 4 ... replace y with (-x+4)

x-x+4 = 4

0x+4 = 4

0+4 = 4

4 = 4 ... this is a true statement regardless of what x you pick

So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.

Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.

Masteriza [31]2 years ago

3 0

Your answer for this is b

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5(8n+ 7) < 5-5(n+3)

svet-max [94.6K]

Answer:

n<-1

Step-by-step explanation:

Distribute 5 and -5 into each parenthesis respectively: 40n+35<5-5n-15

Combine like terms: 40n+35<-5n-10

Add 5n to both sides: 45n+35<-10

Subtract 35 from both sides: 45n<-45

Divide both sides by 45: n<-1

3 0

2 years ago

Can you please help me

alexandr402 [8]

Answer:

$D$

Step-by-step explanation:

Every integer is a rational number.

8 0

3 years ago

Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph.

MakcuM [25]

Answer:

Distance to appointment point = 5 miles

Step-by-step explanation:

Let s be the distance to the appointment point,

We have Maria drove to a business appointment at 50mph in the morning.

Time taken in the morning

$t_m=\frac{s}{50}=0.02s$

Her average speed on the return trip in the afternoon was 40 mph.

Time taken in the afternoon

$t_a=\frac{s}{40}=0.025s$

Given that the return trip took 1/4hr longer because of traffic.

That is

$t_a-t_m=\frac{1}{4}hr=0.025hr$

Substituting

$t_a-t_m=0.025hr\\\\0.025s-0.02s=0.025\\\\s=5miles$

Distance to appointment point = 5 miles

7 0

3 years ago

A stalk of corn grew 42 inches in a week. Find the unit rate in inches per day

kozerog [31]

To find the unit rate, we need to set the number of days to 1. Therefore, we will divide by 7. We also have to divide 42 by 7 to make sure the equation stays proportional. Using this knowledge, we can see that if the corn grew 42 inches in 7 days, it grows 6 inches per day.

7 0

3 years ago

Read 2 more answers

I’m not sure the answer. help!!

MAVERICK [17]

Answer:

x = {-5π/4, -3π/4, 3π/4, 5π/4}

Step-by-step explanation:

You know that sec(x) = 1/cos(x), so this is equivalent to ...

cos(x) = -1/√2

The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...

3π/4, 5π/4

We also want angles in the range -2π to 0, so all of the solutions will be ...

sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}

We like to use the x-intercept as the solution when graphing, so we write the given equation as ...

sec(x) +√2 = 0

The graph verifies the above solutions.

3 0

1 year ago