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Illusion [34]
3 years ago
11

What is the slope of the line represented by the equation f(t) =2t-6

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Answer:

The slope is 2.

Step-by-step explanation:

The given line has equation: f(t)=2t-6.

This is a linear equation in t.

The slope is the coefficient of the independent variable t.

The coefficient of t in  f(t)=2t-6 is 2.

Therefore the slope is 2.

Alternatively,  f(t)=2t-6 is of the form  f(t)=mt+c, where m=2 is the slope.

Dafna1 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

The slope is 2 and the y intercept is -6

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1. A kids' movie ticket costs $5.25.
Alecsey [184]

Answer: $1,050.00

Step-by-step explanation:

Since a single movie ticket costs $5.25, and 200 tickets were purchased, multiply 5.25 by 200 to get the total cost of the tickets.

3 0
3 years ago
4.2z + 3.8z simplify the expression ​(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole n
alexandr1967 [171]

Answer:

8z

Step-by-step explanation:

Since these are like terms, add the numbers together and then put the z on.

4 0
3 years ago
What is the volume of the regular pyramid?
ad-work [718]

Answer:

C

Step-by-step explanation:

The volume of the regular pyramid is V=\dfrac{1}{3}A_{base}H.

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.

Hence, the volume of the pyramid is

V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.

7 0
3 years ago
Find an ordered pair (x, y) that is a solution to the equation.<br><br> x-5y=5
timurjin [86]

Answer:

(x,y)=(0,-1)

Step-by-step explanation:

Observe that the equation x-5y=5 can be transformed in the equation of a line

x-5y=5\\-5y=5-x\\y=\frac{x-5}{5}\\y=\frac{1}{5}x-1

Since x can take any value then the equation has infinite solutions. But we need only an solution (x,y). Then, taking x=0 we have that y=\frac{1}{5}*0-1=-1.

Therefore the ordered pair (x,y)=(0,-1) is a solution of the equation.

4 0
4 years ago
A car start from rest and accelerates at the rate of 2m/s² for 5 seconds. it maintenance this velocity for another 5 seconds. it
Vladimir79 [104]

Answer:

2m/s² ; - 2m/s²

25m ; 50m ; 25m

6.67 m/s²

Step-by-step explanation:

The acceleration and deceleration :

Both rates are the Same from the graph ;

According to scenario described, acceleration = 2m/s²

Deceleration occurred in equal time interval = - 2m/s

Distance covered during each stage:

Stage 1 : area of triangle

0.5 * base * height

0.5 * 5 * 10 =25 m

Stage 2: area of rectangle :

Length * breadth = 5 * 10 = 50 m

Stage 3 : area of triangle

0.5 * base * height

0.5 * 5 * 10 =25 m

Average Velocity :

Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s

5 0
3 years ago
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