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katrin2010 [14]
3 years ago
15

Jenna solved the equation 2x^2 +5x - 42 = 0 . She stated that the solutions to the equation were 7/2 and -6. Do you agree with J

enna's solution? Explain why or why not.
Mathematics
2 answers:
mr_godi [17]3 years ago
7 0

Answer:

Yes. Her solution is correct.

Step-by-step explanation:

Let's check if Jenna solution is correct:

To solve the equation 2x^2 +5x - 42 = 0, we can use Bhaskara's formula:

D = b^2 - 4ac = 25 + 4*2*42 = 25+336 = 361

sqrt(D) = 19

x1 = (-5 + 19)/4 = 14/4 = 7/2

x2 = (-5 - 19)/4 = -24/4 = -6

We must agree with Jenna's solution, because the values she found as solution are correct: with we replace these values of x in the equation, we will find 0 = 0, which is correct and proves that these values are the solution of the equation.

vova2212 [387]3 years ago
6 0

Answer:

Jenna's solution is correct

Step-by-step explanation:

A proper lookat the image attached will provide the necessary explanations

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Marina CMI [18]
First start by subtracting:
50-8=42
the new equation is:
6x=42
then divide:
42/6=7
So the answer is:
x=7

Hope this helps!! :D

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3 years ago
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The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22
mixas84 [53]

Answer:

239 ft².

Step-by-step explanation:

Let P represent the price for tiling.

Let S represent the size of the room.

From the question,

Price (P) varies directly as the size (S) i.e

P & S

P = KS

Where K is the constant of proportionality.

Next, we shall determine the value of K as follow

Price (P) = $ 4224

Size (S) = 264 ft²

Constant of proportionality (K) =?

P = KS

4224 = K × 264

Divide both side by 264

K = 4224/264

K = 16

Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.

This is illustrated below:

Price (P) = $ 3824

Constant of proportionality (K) = 16

Size (S) =?

P = KS

3824 = 16 × S

Divide both side by 16

S = 3824/16

S = 239 ft²

Therefore, the size of the kitchen is 239 ft².

6 0
3 years ago
Ralph opens a bank account. The amount, in dollars, in the account x weeks after the account is
Mila [183]

Answer:

c

Step-by-step explanation:

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3 years ago
Which set of values for x makes the inequality 12−x&lt;7 true
kozerog [31]

Answer:

\{x:x>5\}

Step-by-step explanation:

Given

12 - x < 7

Required

Values of x that make it true

First: solve the inequality.

12 - x < 7

Collect Like Terms

- x < 7-12

- x < -5

Multiply both sides by -1

-1 * - x < -5 * -1

x > 5 --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

\{x:x>5\}

7 0
3 years ago
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