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1 year ago

4x7 = 2x + 15 Does the equation have one none, or infinite solutions? Explain why.

Mathematics

1 answer:

liq [111]1 year ago

6 0

Answer:

There is only one solution

Step-by-step explanation:

4x - 7 = 2x + 15

+7 +7

4x = 2x + 22

-2x -2x

2x = 22

divide by 2 into both sides

x = 11

Since there is only one answer, there is only ONE solution.

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You want to subtract the heights. 5 2/6-4 4/6=5 1/3-4 2/3=2/3.

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3 years ago

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WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP ME!

Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: $a^2-b^2=(a+b)(a-b)$

Given $x^2-16=0$

Rewrite 16 as 4²

Therefore, $a^2=x^2$ and $b^2=4^2$

$\implies a = \sqrt{x^2}=x$

$\implies b=\sqrt{4^2} =4$

$\implies x^2-16^2=(x+4)(x-4)$

$\implies (x+4)(x-4)=0$

$\implies (x+4)=0 \implies x=-4$

$\implies (x-4)=0 \implies x=4$

Method 2

Given equation:

$x^2-16=0$

Add 16 to both sides:

$\implies x^2-16+16=0 + 16$

$\implies x^2=16$

Square root both sides:

$\implies \sqrt{x^2}=\sqrt{16}$

$\implies x=\pm4$

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2 years ago

The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and No

Anna71 [15]

Answer: See explanation

Step-by-step explanation:

Total marks = 60

Kate = 40 marks = 40/60 × 100 = 66.7%

Kate gets a bronze medal.

Priya = 46 marks = 46/60 × 100 = 76.7%

Priya gets a silver medal

Nora = 49 marks = 49/60 × 100 = 81.7%

Nora gets a good medal.

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2 years ago

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Answer:

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Step-by-step explanation:

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12.857 days

Step-by-step explanation:

Since the number of days is passing the same for both Nick and Perry we can assign the unknown value (no. Of days) the same denotation of x

Therefore;

180 – 6x = 0 + 8x

180 = 8x + 6x

180 = 14x

X = 12.857

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For more on calculating unknown values check out;

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3 years ago