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3 years ago

Find (f+g)(x). f(x)=-3x+2 and g(x)=x^3

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

Answer:

$\large\boxed{(f-g)(x)=x^3-3x+2}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2$

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Find the measure of HJK

Taya2010 [7]

Answer:

m<HJK = 40°

Step-by-step explanation:

Given:

m<HJK = 3x - 2

m<KJL = 50°

Required:

m<HJK

Solution:

m<HJK + m<KJL = 90° (complementary angle)

Substitute

3x - 2 + 50 = 90

Add like terms

3x + 48 = 90

3x + 48 - 48 = 90 - 48

3x = 42

3x/3 = 42/3

x = 14

✅m<HJK = 3x - 2

Plug in the value of x

m<HJK = 3(14) - 2 = 42 - 2

m<HJK = 40°

8 0

3 years ago

Mula

Alenkinab [10]

Answer:

quadratic

Step-by-step explanation:

The fact that function values are decreasing, then increasing tells you the function cannot be modeled by a linear or exponential function.

A quadratic model is most appropriate.

The function is modeled by the quadratic 3x^2 -2.

5 0

3 years ago

it takes 1/2 of a box of nails to build a bird house if you wanted to build 5 bird houses how many boxes would you need

dedylja [7]

Answer:

You would need 2.5

Step-by-step explanation:

You can use a porportion to solve.

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7 0

3 years ago

Given (x – 7)2 = 36, select the values of x.

SVEN [57.7K]

Answer:

x = 25

Step-by-step explanation:

Solve by isolating x:
(x-7)2 = 36
x-7 = 18
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3 0

2 years ago

Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; t

Studentka2010 [4]

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

$y+(3x+5)=180$

$y=180-3x-5$

$y=175-3x$

Similarly,

$z+(3x-5)=180$

$z=180-3x+5$

$z=185-3x$

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

$x+y+z=180$

$x+(175-3x)+(185-3x)=180$

$-5x+360=180$

$-5x=180-360$

$-5x=-180$

Divide both sides by -5.

$x=36$

The value of x is 36.

$y=175-3(36)$

$y=175-(108)$

$y=67$

Now,

$z=185-3(36)$

$z=185-108$

$z=77$

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

6 0

3 years ago