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3 years ago

Which best explains why the equation 7×+3=7×+3 has infinitely many solutions

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Left and right side are exactly same, therefore "the equation is true for any value of x."

Option B

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Given <img src="https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-6x%2B8%20and%20g%28x%29%20%3Dx-2" id="TexFormula1" title="f(x) =x

Eva8 [605]

For this case we have the following functions:

$f (x) = x ^ 2-6x + 8\\g (x) = x-2$

We must subtract the functions:

$f (x) -g (x) = x ^ 2-6x + 8- (x-2)\\f (x) -g (x) = x ^ 2-6x + 8-x + 2\\f (x) -g (x) = x ^ 2-7x + 10$

We build a table of values for $x = 0,1,2,3.$

$x = 0, f (x) -g (x) = 0 ^ 2-7 (0) + 10 = 10\\x = 1, f (x) -g (x) = 1 ^ 2-7 (1) + 10 = 1-7 + 10 = 4\\x = 2, f (x) -g (x) = 2 ^ 2-7 (2) + 10 = 4-14 + 10 = 0\\x = 3, f (x) -g (x) = 3 ^ 2-7 (3) + 10 = 9-21 + 10 = -2$

Answer:

$f (x) -g (x) = x ^ 2-7x + 10$

8 0

3 years ago

For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish

deff fn [24]

Answer:

7 quarters are spent for throwing 350 food pebbles in pond.

Step-by-step explanation:

Given:

Reggie receives 50 food pebbles for every quarter he spends.

Number of food pebbles he has = 350

Let the number of quarters spent for 350 pebbles be 'x'.

Now, using proportion and cross multiplication method, we can find 'x'.

1 quarter is equivalent to 50 pebbles thrown in pond.

So, 'x' quarters is equivalent to 350 pebbles thrown in pond.

$\frac{1}{50}=\frac{x}{350}\\\\Cross\ multiplying\\\\50x=350\\\\x=\frac{350}{50}\\\\x=7$

So, 7 quarters are spent for throwing 350 food pebbles in pond.

6 0

2 years ago

What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/

Scorpion4ik [409]

Let's solve your equation step-by-step.

-2/3p+ 1/6= 7/10

Answer:

p= -4/5

6 0

2 years ago

Ok all i need to know is if this is a function or not or if it cant be determined thank you

vodka [1.7K]

Answer:

no because it doesnt pass the vertical line test

Step-by-step explanation:

give me brainliest pls

3 0

2 years ago

Read 2 more answers

(2a² – b) (за² + 3b)

nataly862011 [7]

Answer:

a^4+3a^2-3b^2

Step-by-step explanation:

$\hookrightarrow \: (2 {a}^{2} - b)(3 {a}^{2} + 3b) \\ \hookrightarrow \:2 {a}^{2} (3 {a}^{2} + 3b) - b(3 {a}^{2} + 3b) \\ \hookrightarrow \:6 {a}^{4} + 6 {a}^{2} b - 3 {a}^{2} b - 3 {b}^{2} \\ \hookrightarrow \:{a}^{4} + 3 {a}^{2} b- 3 {b}^{2}$

6 0

2 years ago