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kozerog [31]
2 years ago
6

Multiply or divide the following expression: Reduce all answers to lowest terms. Factor the following completely.

Mathematics
1 answer:
Semmy [17]2 years ago
7 0

A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,

f(-3) = -(-3)² - 4(-3) + 5

f(-3) = -9 + 12 + 5

f(-3) = 8

Now, the value of f(x) when the value of x is 3 is,

f(3) = -(3)²-4(3)+5

f(3) = - 9 - 12 + 5

f(3) = -16

further, the value of f(3) + f(-3) is,

f(3) + f(-3) = -16 + 8

f(3) + f(-3) = -8

Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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Uni made a model of a 1970 Ford Mustang using a scale of .5 inches = 9 in. If the actual car is 15 ft long, how long is the mode
kykrilka [37]

Answer:

The model car is 10 inches long

Step-by-step explanation:

To solve this question, we use conversion of units

Feet to inches.

Each feet has 12 inches.

The car is 15ft long.

So the car has 15*12 = 180 inches.

.5 inches = 9 in.

Rule of three

.5 inches - 9 inches

x inches - 180 inches

9x = 180*0.5

9x = 90

x = \frac{90}{9}

x = 10

The model car is 10 inches long

7 0
3 years ago
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
________________________________________
   "Ax + By + C = 0 " ; 
________________________________________
So; given: 
____________________________________
 " y = (-1/3)x + (10/3) " ;
____________________________________
  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
____________________________________
            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

↔  -1x − 3y − 10 = 0 ;  

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

     -1 * {-1x − 3y − 10 = 0} ; 

to get:
______________________________________________________
   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
______________________________________________________
6 0
3 years ago
Read 2 more answers
What are the values of m and e in the diagram below?<br><br>​
elena55 [62]
Please add the picture.
4 0
3 years ago
Three angles fits exactly around a point. Two of the angles are equal.The diffrence between the largest and the smallest angle i
IrinaK [193]

Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

3 0
3 years ago
At Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument
rodikova [14]

93 students play an instrument because you would take 310 (the total amount of students) and multiply it by 0.3 (the thirty percent) and get 93

5 0
3 years ago
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