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3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (1-9)(x).

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

$(f-g)(x)=2x-3$

Step-by-step explanation:

The correct question is

If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)

we know that

(f-g)(x) is equal to subtract the function g(x) from the function f(x)

$(f-g)(x)=f(x)-g(x)$

substitute the given functions

$(f-g)(x)=(3x-1)-(x+2)$

Remove the parenthesis

$(f-g)(x)=3x-1-x-2)$

Combine like terms

$(f-g)(x)=2x-3$

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Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th

il63 [147K]

Answer:

bigger angle is 117°

Step-by-step explanation:

x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)

2x+54=180

2x= 180-54

2x=128

x=126/2

x= 63

x1= smaller angle

x1= 63

x2= bigger angle

x2= 63+54

x2=117

4 0

3 years ago

If h(z)=13z2–30z+27, use synthetic division to find h(3).

Blababa [14]

Answer:

h=13z-30+ 27/z

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the value of each variable so that the quadrilateral is a parallelogram.

Dmitry [639]

Answer:

x = -2

y = -5

Step-by-step explanation:

Properties of a Parallelogram

Two pairs of opposite sides are parallel.
Two pairs of opposite sides are equal in length.
Two pairs of opposite angles are equal in measure
The diagonals bisect each other.
Adjacent angles are supplementary.
Each diagonal divides the quadrilateral into two congruent triangles.

Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:

y + 23 = -4y - 2. And

-2x + 6 = x + 12

Solve the first equation. Adding 4y:

5y + 23 = - 2

Subtracting 23:

5y = -25

Dividing by 5:

y = -5

Solve the second equation. Subtracting x and 6:

-3x = 6

Dividing by -3:

x = -2

Solution:

x = -2

y = -5

4 0

3 years ago

From the lighthouse 1000 ft above sea level the angle of depression to boat a is 29 degress.a little bit later the boat moved cl

AnnyKZ [126]

Answer: The boat moved 768.51 feet in that time .

Step-by-step explanation:

Since we have given that

Height of the lighthouse = 1000 feet

Angle depression to boat 'a' = 29°

Angle of depression to shore 'b' = 44°

Consider ΔABC,

$\tan 44\textdegree=\frac{AB}{BC}\\\\\tan 44\textdegree=\frac{1000}{BC}\\\\BC=\frac{1000}{\tan 44\textdegree}\\\\BC=1035.53\ feet$

Now, Consider, ΔABD,

$\tan 29\textdegree=\frac{AB}{BD}\\\\\tan 29\textdegree=\frac{1000}{BD}\\\\BD=\frac{1000}{\tan 29\textdegree}\\\\BD=1804.04\ feet$

We need to find the distance that the boat moved in that time i.e. BC

so,

$DC=BD-BC\\\\CD=1804.04-1035.53\\\\CD=768.51\ feet$

Hence, the boat moved 768.51 feet in that time .

6 0

3 years ago

A random sample of 100 college students is taken from the student body of a large university Assume that, in fact, a population

mixas84 [53]

Answer:

b) equals 20 hours.

Step-by-step explanation:

The sampling distribution of means refers to the distribution of all the possible sample means, with a certain sample size (in this case, n=100) extracted from the population.

The sampling distribution of the means is equal to the population mean. That does not mean that every sample will result in a mean equal to the population, but that the population of sample means will have an average of 20 hours.

6 0

3 years ago