answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LekaFEV
2 months ago
12

A system of equations is given below. y = negative 2 x + one-fourth and y = negative 2 x minus one-fourth Which of the following

statements best describes the two lines? They have the same slope but different y-intercepts, so they have no solution. They have the same slope but different y-intercepts, so they have one solution. They have different slopes but the same y-intercept, so they have no solution. They have different slopes but the same y-intercept, so they have one solution.
Mathematics
1 answer:
zzz [12.3K]2 months ago
9 0

Answer:

  They share the same slope but have different y-intercepts, indicating they have no solution.

Step-by-step explanation:

The slope is determined by the coefficient of x. In both cases, it is -2, thus the lines possess the same slope. (This eliminates the last two answer options.)

The constants added to each line differ, leading to different y-intercepts. Consequently, the lines are parallel and do not intersect.

A "solution" to the system entails finding a point (x, y) that satisfies both equations. As the lines share no mutual points, there are no solutions. (corresponds with the first answer choice)

You might be interested in
When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.
tester [12383]
In each instance, when it sheds a shell, its size increases by a factor of 1 1/3. To determine the growth after the first molt, multiply 1 cm by 1 1/3 to get 1 1/3 cm. To find the next size, repeat the multiplication: 1 1/3 cm times 1 1/3 cm equals 16/9. This process will continue by multiplying by 1 1/3. We can express it mathematically as (initial size) * 1 1/3 *(number of shells) equals length or 1 cm * 1 1/3 * n equals L. Given that the final length is 10 cm, accordingly, 1 1/3 * n equals 10 cm, leading to n being 7.5 shells, which translates to either about 7 or 8 shells.
8 0
2 months ago
If there are 2.2 pounds in 1 kilogram how many pounds are there in x kilograms?
tester [12383]

Answer:

P=x/2.2

Step-by-step explanation:

We can set up an equation to solve this.

Let P represent the number of pounds

Let X represent the number of kilograms

Knowing that 1 kilogram equals 2.2 pounds.

So, if there is 1 kilogram (X) it translates to 2.2 pounds (P).

X=2.2P

Simply rearrange the equation to determine the pounds in x kilograms. Thus, divide both sides by 2.2.

Therefore, we derive P=x/2.2

5 0
1 month ago
Two of the steps in the derivation of the quadratic formula are shown below. Step 6: StartFraction b squared minus 4 a c Over 4
babunello [11817]

Explanation:

Step-by-step clarification:

Referring to step 6

(b² — 4ac) / 4a² = (x + b/2a)²

The mistake in the question is that it should be (x + b/2a)²

According to step 7

±√(b² —4ac) /2a = x + b/2a

The error in the question is that it should be divided by 2a, not 1a.

1. The transition from step 6 to step 7 involves taking the square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking the square of both sides

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This forms step 7 correctly.

Next, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac)  — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

This gives the desired formula.

The discriminant is D = b²—4ac.

6 0
3 months ago
Read 2 more answers
A study was conducted to determine the mean birth weight of a certain breed of kittens. Consider the birth weights of kittens to
Inessa [12570]
3.56 ± 0.011 = (3.549, 3.571). That is the answer.
7 0
1 month ago
A. Given directed line segment MN with M(-6,-2) and N(3,1), find point P that partitions the segment into a ratio of 1:2. Explai
AnnZ [12381]

1. According to the definition, a specific point that splits a line segment into a ratio of a:b is indicated by the following x-coordinate:

x1+\frac{a}{a+b} (x2-x1)

And the y-coordinate:

y1+\frac{a}{a+b}(y2-y1)

2. Keeping this in mind, you have:

A) x-coordinate:

-6+(\frac{1}{1+2}) (3+6)=-3

y-coordinate:

-2+(\frac{1}{1+2} )(1+2)=-1

The answer is: P(-3,-1)

B) The x-coordinate is:

-1+(\frac{3}{3+1} )(3+1)=2

The y-coordinate is:

6+(\frac{3}{3+1} )(-2-6)=0

The answer is: L(2,0)

7 0
1 month ago
Other questions:
  • A rigid transformation can also be referred to as an isometric transformation. The prefix "iso-" means "of the same" and "-metri
    11·2 answers
  • Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground,
    15·2 answers
  • When factoring polynomials, why it is best to look for a greatest common monomial factor first?
    8·1 answer
  • What is the value of x in the equation 32(4x – 1) – 3x = 54 –(x + 2)?
    13·2 answers
  • A 24-ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2,000-calorie-per-day diet. What percentage of
    12·2 answers
  • What number is between 0.40 and 0.47 it has to be a fraction
    7·2 answers
  • A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
    8·1 answer
  • The function f(x) = –x2 – 4x + 5 is shown on the graph.
    8·2 answers
  • Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area:
    6·2 answers
  • Find and irrational number between 7.7 and 7.9
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!