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2 years ago

Simplify the expression. -2.2f + 0.8f - 14-5

Mathematics

2 answers:

jolli1 [7]2 years ago

5 0

Answer:

− 1.4 f − 19

Step-by-step explanation:

umka21 [38]2 years ago

4 0

Answer: -1.4f - 19

Step-by-step explanation:

Just combine like terms, since it doesn’t ask to solve for f.

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The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

$f(x)=a(x-h)^2+k$

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

2 years ago

Read 2 more answers

Click on the picture to look at some equivalent fractions. Look at them closely. Can you see a relationship of any kind between

Vera_Pavlovna [14]

when you simplify 2/4 it equals 1/2. Making them both equal the same.

2/3 when you double the numbers to make a bigger fraction you make 4/6.

2x2 = 4/ 3x3= /6 = 4/6

3/9 simplified is 1/3. Three goes into three one time, making the top one and three goes into 9 three times making the bottom 3.

When 9/12 is rounded down it is equivalent to 3/4

5 0

2 years ago

Read 2 more answers

Mario and Luigi have friends. They want to purchase some extra controllers. Each controller costs $29.99.

jonny [76]

An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:

Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all

The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,

C = 299x + 59.99y + 29.99z

4 0

3 years ago

Mary leaves her house to take a walk. The graph shows the distance, d, in feet from

andrew-mc [135]

D. 35, since that would be the longest amount. of time walking away from her house, she should be the farthest amount of feet away from her house

7 0

3 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

sashaice [31]

5x^2 + 5y^2 + 10x − y = 0 it is the same of 
x^2 + y^2 + 2x −1/5y = 0
and then 
(x + 1)^2 - 1+ (y−1/10)^2 -1/100=0
 (x + 1)^2 + (y −1/10)^2 =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10

4 0

2 years ago