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3 years ago

Help so the numbers I wrote are the options

Mathematics

1 answer:

Natalka [10]3 years ago

7 0

Answer:

The value of discriminant = 25

It has two different x-intercepts

It has two zeroes -1/3 and -2

Step-by-step explanation:

∵ f(x) = ax² + bx + c

∵ The discriminant = b² - 4ac

∵ f(x) = 3x² + 7x + 2

∴ The value of discriminant = 7² - 4(3)(2) = 49 - 24

= 25

∵ The value of discriminant > 0

∴ f(x) has two different roots

∴ It has two different x-intercepts

∵ f(x) = 0

∴ 3x² + 7x + 2 = 0

∴ (3x + 1)(x + 2) = 0

∴ 3x + 1 = 0 ⇒ 3x = -1 ⇒ x = -1/3

∴ x + 2 = 0 ⇒ x = -2

∴ It has two zeroes -1/3 and -2

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Start by subtracting 10 from both sides.

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Step-by-step explanation:

$\frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17}$

Multiply the sides of the equation by 799

$zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141$

So A jar of the chemical contains 141 grams of <em><u>zinc</u></em>.

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3 years ago

Kristin charges $30 to train a small dog, and $50 to train a big dog. If Kristin trains 15 small dogs and 6 big dogs, how much m

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$750

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We can set up the equation 30x + 50y = z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.

After plugging in the x and y values to solve for z, we are left with the following equation:

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3 years ago

Solve w2 =64 where w is a real number

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3 years ago

Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He

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Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = $\frac{30}{100}x=0.3x = 0.3x$

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = $\frac{30}{100}x=0.3x$

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal 30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = $\frac{15}{100}x=0.15x$

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

$x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400$

Hence Chan's Bonus amount was $2400.

7 0

3 years ago

Help so the numbers I wrote are the options ​

Help so the numbers I wrote are the options