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3 years ago

If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

$x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1$

Hence, there is no solution.

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A researcher is studying whether babies are able to identify a color accurately when given four choices. She wants to build a mo

34kurt

Answer:

Spin a spinner divided into four equal sections. Landing on section 1 indicates a correct guess.

Step-by-step explanation:

6 0

2 years ago

PLEASE HELP!!! I'LL GIVE YOU BRAINLIEST!

Andru [333]

(x - a)^2 + (y - b)^2 = (y - d)^2

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2dy + d^2 

Subtract y^2 from both sides... 

x^2 - 2ax + a^2 - 2by + b^2 = -2dy + d^2 

Now I would just substitute in the the values (a = -4, b = 17/8, d = 15/8)... 

x^2 - 2(-4)x + (-4)^2 - 2(17/8)y + (17/8)^2 = -2(15/8)y + (15/8)^2 

Simplify... 

x^2 + 8x + 16 - (17/4)y + 289/64 = -(15/4)y + 225/64 

Add (17/4)y to both sides... 

x^2 + 8x + 16 + 289/64 = (2/4)y + 225/64 

x^2 + 8x + 16 + 289/64 = (1/2)y + 225/64 

Subtract 225/64 from both sides... 

x^2 + 8x + 16 + 1 = (1/2)y 

x^2 + 8x + 17 = (1/2)y 

Multiply both sides by 2... 

2x^2 + 16x + 34 = y 

...which is equal to equation D.

8 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Sveta_85 [38]

Answer:

y = 4(x + 2)^2 - 20.

or in standard form it is

y = 4x^2+ 16x - 4.

Step-by-step explanation:

The equation in vertex form will be:

y = a(x + 2)^2 - 20 where a is some constant.

The y-intercept is (0, -12) so:

-12 = a(0 + 2) - 20

2a = -12 + 20 = 8

a = 4.

8 0

3 years ago

What is the approximate positive value of the x-coordinate of the point of intersection of p(x)=5x^2-3 and q(x)=2x+1

Advocard [28]

Hey there! :)

Answer:

x = 1.117

Step-by-step explanation:

Graph the two equations:

p(x) = 5x² - 3

q(x) = 2x + 1

On the graph below, the positive point of intersection is at (1.117, 3.233).

Positive x-value = 1.117.

3 0

3 years ago

Which ones are right? (20 points)

klemol [59]

Answer:

A D E and F

Step-by-step explanation:

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3 years ago

Read 2 more answers