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Pavel [41]
3 years ago
7

What value of b will cause the system to have an infinite number of solutions?

Mathematics
2 answers:
NikAS [45]3 years ago
8 0
If the value of b is 6 then the system will have an infinite number of solutions since they will be the same lines.
ss7ja [257]3 years ago
5 0

Answer with explanation:

A system of equation will have infinite number of solution

if both the equation of line are coincident.

6 x - y=b

-3 x + y = -3

Line, ax + by=c

p x + q y =r,

are said to be coincident , if

\frac{a}{p}=\frac{b}{q}=\frac{c}{r}\\\\ \frac{6}{-3}=\frac{-1}{1}=\frac{b}{-3}\\\\{\text{as}} \frac{6}{-3}\neq\frac{-1}{1}

So,there is no real value of b for which , we can make the system of equation coincident or infinite umber of solutions.

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Choose the correct equation for the line shown on the graph?
fomenos

<u>Answer:</u>

y=-1/4x-1

<u>How to find the </u><u>slope</u>

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

<u>How to find the y-intercept</u>

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>

3 0
2 years ago
A student estimated a mass of 250grams, according to the scale the mass is actually 240grams. What is the percent error? (round
NeX [460]

Answer:

4.2%

Step-by-step explanation:

percent error = (estimated value - actual value)/(actual value) × 100%

Here, the estimated value is 250 g, and the actual value is 250 g.

percent error = (estimated value - actual value)/(actual value) × 100%

percent error = (250 g - 240 g)/(240 g) × 100%

percent error = 10/240 × 100%

percent error = 0.041666... × 100%

percent error = 4.2%

4 0
3 years ago
Read 2 more answers
You paint 0.5 wall in 0.25 hour. At that rate, how long will it take you to paint one wall?
Serga [27]
Answer=0.5 hours
   0.5         1
_____ =_____
0.25hr     x hr

cross multiply
0.5x=0.25
divide both sides by 0.5
x=0.5 hr

It will take 0.5 hours to paint one wall
6 0
3 years ago
Read 2 more answers
Define perpendicular lines.
Nesterboy [21]

<h2>B.</h2>

<h3>Perpindicular line are lines that intersect at a 90 degree angle.</h3><h3>Hope this helps!</h3>
4 0
3 years ago
Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y
timofeeve [1]

We have to simplify the given expression:

\frac{14x^5y^4+21x^3y^2}{7x^3y}

Dividing the terms of the numerator by the given term of denominator individually, we get

= \frac{14x^5y^4}{7x^3y}+\frac{21x^3y^2}{7x^3y}

By using the laws of exponent, a^m \div a^n = a^{m-n}, we get

= \frac{7 \times 2 x^5y^4} {7x^3y} + \frac{7 \times 3 x^3y^2}{7x^3y}

= \frac{2 x^5y^4} {x^3y} + \frac{3 x^3y^2}{x^3y}

= {2 x^{5-3}y^{4-1}} + 3 y^{2-1}

= {2 x^{2}y^{3}} + 3 y

Therefore, the simplification of the given expression is  {2 x^{2}y^{3}} + 3 y.

So, Option 3 is the correct answer.

6 0
3 years ago
Read 2 more answers
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