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3 years ago

I need help

Mathematics

1 answer:

Sati [7]3 years ago

5 0

Answer:

$f(x) = {x}^{2} \\ g(x) = x - 3\\ \\ f(g(x))(x) = {(x - 3)}^{2} \\ = {x}^{2} - 6x + 9$

I hope I helped you^_^

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Solve the following equation by first writing the equation in the form a x squared = c:

Radda [10]

Answer:

The Quadratic Formula: Given a quadratic equation in the following form:

ax2 + bx + c = 0

...where a, b, and c are the numerical coefficients of the terms of the quadratic, the value of the variable x is given by the following equation:

\small{ x = \dfrac{-b \pm \sqrt{b^2 - 4ac\phantom{\big|}}}{2a} }x=

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−4ac

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Step-by-step explanation:

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Xiao bought 4310 gallons of gas that cost $2.50 per gallon.

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Answer:

$10775

Step-by-step explanation:

If 1 gallon of gas is $2.50, then the cost of 4310 gallons of gas will be:

4310 * 2.50

= $10775

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3 years ago

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Diane Has to give medicine to her cat every morning for the next 21 days. How many weeks is this?

goldenfox [79]

Answer:

it would be 3 weeks because there are 7 days in a wekk so if u divide 21 by 7 it would give u 3

Step-by-step explanation:

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4 years ago

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Mr. Ramsey has 14 girls and 10 boys in her class she will randomly create one group of three students to work on a project what

Mrrafil [7]

The probability that the group will be all girls is 91/506

<h3 /><h3>Number of ways of selecting 3 students out of the total</h3>

Since there are 14 girls and 10 boys, the total number of students is 10 + 14 = 24.

So, the total number of ways of selecting 3 students from 24 is ²⁴C₃.

<h3 /><h3>Number of ways of selecting 3 girls out of 14</h3>

Also, the total number of ways of selecting a group of 3 of all girls out of the 14 girls is ¹⁴C₃ = 14

<h3 /><h3>Probability of all girls</h3>

So, the probability of selecting a group of 3 of all girls = number of ways of selecting 3 girls/total number of selections = ¹⁴C₃ ÷ ²⁴C₃

= 14 × 13 × 12/3! ÷ 24 × 23 × 22/3!

= 7 × 13/23 × 22

= 91/506

So, the probability that the group will be all girls is 91/506

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brainly.com/question/24756209

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3 years ago

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 2) and goes to Q(5, 2). It goes from Q to R(5

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Answer:

The total length (in units) of the biking trail is 17 units.

Step-by-step explanation:

o find distance between points A(x¹, y¹) and B(x², y²), we use formula:

$d = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

So, the distance PQ will be calculated as:

$PQ = \sqrt{(5^{}-(-2)^{})^{2}+(2^{}-2^{})^{2}$

$PQ = \sqrt{(49^{}+0)$

PQ = 7 units

Then the trail goes from Q(5, 2) to R(5, −5).

So, the distance QR will be calculated as:

$QR = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

$QR = \sqrt{(5^{}-5^{})^{2}+(-5^{}-2^{})^{2}$

QR = 7 units

And then from R(5, −5) to S(8, −5).

$RS = \sqrt{(8^{}-5^{})^{2}+(-5^{}-(-5)^{})^{2}}$

QR = 3 units

Hence, the total length of the biking trail is:

PQ + QR + QR = 7 + 7 + 3 = 17 units

Keywords: distance formula, length

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