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3 years ago

PLEASE HELP!! Evaluate f(-7). f(x) = 3x2

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

Answer:

f(- 7) = 147

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x)

f(- 7) = 3(- 7)² = 3 × 49 = 147

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seventy-five percent or 15 of the students in emily's homeroom class are going on the field trip two thirds or 12 of the student

SOVA2 [1]

Let x be the number of students in Emily's class such that 75% of x is 15.
15 = 0.75x
The value of x is equal to 20.
Let y be the number of students in Santiago's class. Similar with what we did previously,
12 = (2/3)y
The value of y is equal to 18.
Therefore, there are more student's in Emily's class than in Santiago's class.

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3 years ago

What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?

Paul [167]

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

$c^2 = a^2 + b^2$

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

$c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625$

Taking square root on both sides,

$c = \sqrt{625}\\\\c = 25$

Hence the length of hypotenuse is 25 cm

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3 years ago

Find the value of y.

Serggg [28]

for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length

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2 years ago

Read 2 more answers

Which polynomial is in standard form?

kirill115 [55]

Answer:

$2x^3 +4x^2 -7x+5$

Step-by-step explanation:

Polynomial $2x^3 +4x^2 -7x+5$ is in standard form as it is written in descending order of their powers.

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3 years ago

4-58. Lisa plans to retire on her 61st birthday. On her

mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒ $A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0$

⇒ $A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0$

⇒ $A = 10000\times 16.4436\times \frac{0.3066}{23.1148}$

⇒ $= 10000\times 16.4436\times 0.0132$

⇒ $=2180.81$ ($)

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3 years ago