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3 years ago

If f(x) = 3x– 2 and g(x) = x^2– 5, what is g(f(2))?

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

$\large\boxed{g\bigg(f(2)\bigg)=11}$

Step-by-step explanation:

$f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11$

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At a mortgage company, 60% of calls are answered by an attendant. The remaining 40% of callers leave their phone numbers. Of the

ludmilkaskok [199]

Answer:

24/35, about 69%

Step-by-step explanation:

The data given can be put into a 2-way table (attached). It shows that 0.48 of all calls were answered and resulted in a mortgage application. Altogether, 0.70 of all calls resulted in a mortgage application. Thus the conditional probability of interest is ...

p(spoke to attendant | applied for a mortgage) = p(spoke & applied)/p(applied)

= 0.48/0.70 = 24/35 ≈ 69%

7 0

3 years ago

What is the area of a triangle for one of the legs being 3in and the hypotenuse being 9in

elena55 [62]

The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches

Solution:

Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches

From given information,

Let "c" = hypotenuse = 9 inches

Let "a" = length of one of the leg of triangle = 3 inches

To find: area of triangle

The area of triangle when hypotenuse and length of one side of triangle is given:

$A = \frac{1}{2} a \sqrt{c^2 - a^2}$

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

Substituting the given values we get,

$A = \frac{1}{2} \times 3 \times \sqrt{9^2 - 3^2}$

$A =\frac{1}{2} \times 3 \times \sqrt{81-9}\\\\A =\frac{1}{2} \times 3 \times \sqrt{72}\\\\A =\frac{1}{2} \times 3 \times 8.48528\\\\A = \frac{1}{2} \times 25.45584\\\\A = 12.727$

Thus area of triangle is 12.727 square inches

5 0

3 years ago

HELP PLEASE!!! MARKING BRAINLIEST

Dimas [21]

Answer:

what you need to know is all lines equal up to 180

so basically it's 180 - 115

which is 65

comment down below if you need more explanation

Step-by-step explanation:

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2 years ago

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Viefleur [7K]

The answer is the square root of 44

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3 years ago

Help! Write the standard equation of a circle with center (-4,0) and radius 1.5.

Andru [333]

Answer:

Step-by-step explanation:

(x+4)² + y² = 1.5²

6 0

3 years ago