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puteri [66]
2 years ago
14

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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10
MissTica

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

<h3>How to get the graph?</h3>

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

Learn more about inequalities on:

brainly.com/question/14074138

#SPJ1

5 0
2 years ago
Complete the statement below to show how bill can decrease 160 by 6
Mrac [35]
You need to upload a picture of the statement or include it so we can see what it is
6 0
3 years ago
At noon, Bradley began steadily increasing the
barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

8 0
2 years ago
Read 2 more answers
Does anyone know how to do this <br><br>csc x ( sin x + cos x) = 1 + cot x ​
Dima020 [189]

9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  \csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)

8 0
3 years ago
Help me please o(* ̄▽ ̄*)ブ
Vesna [10]

Answer:

Hey there!

Part a) Distance from Wrexham to Oswetry: 15 miles.

Part b) Ruthin to Oswestry: 33 miles.

Total distance travelled for Part b= 33(5), or 165 miles.

6 0
3 years ago
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