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2 years ago

How many solutions are there to this system of equations?

Mathematics

1 answer:

Inessa05 [86]2 years ago

8 0

Answer:

no solution

Step-by-step explanation:

the solution to a system of equations is at the points of intersection of the 2 lines.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{4}$ x - 4 ← is in slope- intercept form

with slope m = $\frac{1}{4}$

y = $\frac{1}{4}$ x - 1 ← is in slope- intercept form

with slope m = $\frac{1}{4}$

• Parallel lines have equal slopes

then the 2 lines are parallel and never intersect.

Thus the system of equations has no solution

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Find the simple interest for $3200 invested at 7% for 2 years.

Artemon [7]

Answer:

$448

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 3200 × 0.07 × 2 = 448

I = $ 448.00

USE THE EQUATION Interest= Principal x rate x time

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2 years ago

Line I is a perpendicular bisector

kolezko [41]

Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.

<h3>What is the perpendicular bisector theorem?</h3>

According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.

Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
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1 year ago

The area of a right triangle is 54 square centimeters. The lengths of the sides of the triangle are each multiplied by 4. What i

nasty-shy [4]

Answer:

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Step-by-step explanation:

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2 years ago

Golf Federation wants to find out which brand of golf balls are the most popular among men living in the United States between t

Ilia_Sergeevich [38]

Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

More can be learned about sampling concepts at brainly.com/question/25122507

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2 years ago

On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score

Kryger [21]

Answer:

z = 2.6

Step-by-step explanation:

<u>Use the formula for z-score</u>

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This tells us that this person's score of 210 places them 2.6 standard deviations above the mean

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2 years ago