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Papessa [141]
3 years ago
9

If f(x) = 3x + 5 and g(x) = –2x2 – 5x + 3, find (f + g)(x).

Mathematics
1 answer:
vazorg [7]3 years ago
8 0
(f + g)(x) is equal to f(x) + g(x).

So (f + g)(x) = (3x + 5) + (-2x^2 - 5x + 3) = -2x^2 - 2x + 8
which is choice C.
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Please solve the following Factor. 9w2-49
romanna [79]

Answer:

(3w - 7)(3w + 7)

Step-by-step explanation:

The expression is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

9w² - 49

= (3w)² - 7²

= (3w - 7)(3w + 7)

5 0
4 years ago
What fraction is represented by the tick mark labeled m
lianna [129]
M×
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7 0
3 years ago
Find the measure of each angle (in degrees) of
d1i1m1o1n [39]

Answer:

∠A = 88°

∠B = 92°

∠C = 88°

∠D = 92°

Step-by-step explanation:

∠A + ∠B = 180°

(2x + 4) + (3x - 34) = 180

reduce:

5x - 30 = 180

5x = 210

x = 42

∠A = 2(42) + 4 = 88°

∠B = 3(42) -34 = 92°

∠C = ∠A = 88°

∠D = ∠B = 92°

3 0
3 years ago
18. What is the least common denominator of the following<br> fractions? 3/10 and 1/4
Len [333]

Answer:

20

The denominators of 3 /10  and  1 /4  are 10  and  4.

The factors of  10  are  2 × 5  and  2 × 2

Therfore the LCD should have two 2's and one 5.

This means the answer is:

2 × 2 × 5 = <u>20</u>

I hope this helps :)

7 0
3 years ago
One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.
ikadub [295]

Answer:

\boxed {\boxed {\sf 14.2 \ cm}}

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

a^2+b^2=c^2

where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

  • a= 9 cm
  • b= 11 cm

Substitute these values into the formula.

(9 \ cm)^{2}  +(11 \ cm)^{2} =c^{2}

Solve the exponents.

  • (9 cm)²= 9 cm*9 cm=81 cm²

81 \ cm^{2}  +(11 \ cm)^{2} =c^{2}

  • (11 cm)²= 11 cm*11 cm= 121 cm²

81 \ cm^{2}  +121 cm^{2} =c^{2}

Add the values on the left side.

202 \ cm^{2} =c^{2}

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }

\sqrt {202 \ cm^{2} }=c

14.2126704036 \ cm =c

We are told to round to the nearest tenth.

  • 14.2<u>1</u>26704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

14.2 \ cm= c

The hypotenuse is equal to <u>14.2 centimeters.</u>

3 0
3 years ago
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