Which equation represents the relationship shown in the graph below?

Sort each equation according to whether it has one solution, infinitely many solutions, or no solution.

Sedaia [141]

Answer:

Equations with one solution: $-2(x-3) = 2x-6$

Equations with no solution:

$6(x+5) = 6x+11\\5(x-2) = 5x-7$

Equations with infinite many solutions: $-3(x-4) = -3x+12$

Step-by-step explanation:

We will solve each equation to see if it has one solution, no solution or infinite many solutions.

An equation where the value of variable can be found has one solution.

An equation with no solution has both sides different.

An equation with infinite solution will have both sides equal after solution(number)

So,

<u>Equation 1:</u>

5(x-2) = 5x-7

$5(x-2) = 5x-7\\5x-10 = 5x-7\\5x-5x = -7+10\\0 = 3$

As both sides are not equal, equation has no solution.

<u>Equation 2:</u>

$-3(x-4) = -3x+12\\-3x+12 = -3x+12\\-3x+3x = -12+12\\0=0\\$

As both sides are equal the equation has infinite many solutions.

<u>Equation 3:</u>

$-2(x-3) = 2x-6\\-2x+6 = 2x-6\\-2x-2x = -6-6\\-4x = -12\\\frac{-4x}{-4} = \frac{-12}{-4}\\x = 3$

As x=3, the equation has only one solution.

<u>Equation 4:</u>

$6(x+5) = 6x+11\\6x+30 = 6x+11\\6x-6x+30 = 11\\30 =11$

The equation has no solution.

Hence,

Equations with one solution: $-2(x-3) = 2x-6$

Equations with no solution:

$6(x+5) = 6x+11\\5(x-2) = 5x-7$

Equations with infinite many solutions: $-3(x-4) = -3x+12$

6 0

3 years ago

In ΔABC, ∠CAD = 22° and segment CB = 15 cm. If the cos of 22° = 0.9272, then the sin of ∠C = _______.

rusak2 [61]

Your answer is B. 0.9272. Hope I was able to help!

3 0

3 years ago

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What is the area of a rectangle of 5/9 m in length and 7/8 m in width

Andru [333]

Answer:

35/72 $m^2$

Step-by-step explanation:

Rectangle Formula: $l*w=Area$

Switch the variables with the numbers given:

$\frac{5}{9} *\frac{7}{8} =Area$

Multiply the top and bottom:

5*7 = 35

9*8 = 72

35/72 = Area

6 0

3 years ago

Who did this? Tell me answers for questions

erastovalidia [21]

Answer:

<h2>There are needed 3 burgers to reach the maximum measure of happiness of 25.</h2>

Step-by-step explanation:

The given function is

$h(x)=-x^{2} +6x+16$

Where $x$ is the number of burgers and $h$ the measure of happiness.

To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as

$V(h,k)$ where $h=-\frac{b}{2a}$ , and $b=6$ , $a=-1$ , replacing these values, we have

$h=-\frac{6}{2(-1)}=3$

$k=f(3)=-(3)^{2} +6(3)+16=-9+18+16=25$

Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.

3 0

3 years ago

Help please, I don’t know the answer

Mila [183]

Answer:

-6 and 6

Step-by-step explanation:

4 0

3 years ago

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