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3 years ago

Number of solutions to a system of equations algebraic. How many solutions does the system have? Can someone help me please....

Mathematics

2 answers:

Svet_ta [14]3 years ago

8 0

Answer:

A Exactly 1 solution

Step-by-step explanation:

if we express both equations as y = mx+b

we will see that both equations have different slopes (i.e "m" values are different).

By definition, 2 straight lines of different slopes will intersect at only one location (i.e there is only one solution)

Anna007 [38]3 years ago

5 0

Answer:

A Exactly one solution

Step-by-step explanation:

Each equation represents a line.

Solve each equation for y.

3x + y = 8

y = -3x + 8 First equation solved for y.

2x + 2y = 8

x + y = 4

y = -x + 4 Second equation solved for y.

The slope of the first equation is -3.

The slope of the second equation is -1.

Since the two equations are of lines and have different slopes, the two lines must intersect at one single point. That point is the solution of the system of equations.

Answer: A Exactly one solution

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How many full 4 2/3 in. Sheets can be cut from 22 1/6 in. Stick

Stolb23 [73]

Answer:

Step-by-step explanation:

Because i divided 4 2/3 by 22 1/6 = 4.75 and for full sheets it would be 4

Hope This Helped

5 0

2 years ago

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

Alborosie

Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
7.2-17.4 -6
m = --------------- = ----------- or -3/5.
23-6 10

Find the equation of the line. I'm going to use the slope-intercept formula:

y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.

Now we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches (answer)

7 0

4 years ago

Point R is located on segment QS. If QR = 10 and RS = 7, what is the measure of QS?

Vadim26 [7]

Answer:

QS = 17 units

Step-by-step explanation:

Given:

R located at QS

QR = 10

RS = 7

Find:

Measure of QS

Computation:

QS = QR + RS

QS = 10 + 7

QS = 17 units

6 0

3 years ago

Out of 800 students enrolled in a recreational soccer program 32% are sixth graders how many students in the program are 6th gra

Lemur [1.5K]

Answer:

256 students

Step-by-step explanation:

Multiply 0.32 by 800 to get your answer.

4 0

4 years ago

Read 2 more answers

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2

Number of solutions to a system of equations algebraic. How many solutions does the system have? Can someone help me please....​

Number of solutions to a system of equations algebraic. How many solutions does the system have? Can someone help me please....