All categories

2 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

1 answer:

3 0

First, lets solve f(x). g(x) is already given. Find the slope of f(x) by doing m = y2-y1/x2-x1. I'm going to use -1,-5 (1) and 0,-1 (2). -1-(-5) = 4 and 0-(-1) = 1. This means that the slope is 4 since 4/1 = 4.
Now find y intercept (b). Since we know that y=4x+b, we can solve this by plugging in an ordered pair. I will use -1,-5. -5 = 4(-1) +b. With this, we see that -5 = -4+b and b = -1 since -5 = -4-1.
Your equation for f(x) is y=4x-1.
A: The slopes are equal since both of them are 4.
B: g(x) has a greater y intercept since 3 > -1.

You might be interested in

Write the Recursive Rule for the sequence:

skad [1K]

A formula is recursive if it expresses the term $a_n$ in terms of the previous one(s) $a_{n-1},\ a_{n-2},\ \ldots,\ a_1$

In this case, every term is 7 more than the previous one, so the formula for $a_n$ will only involve $a_{n-1}$ :

$a_n = a_{n-1} + 7$

In fact, this formula is simply saying: for every index $n$ , the term with that index is 7 more than the term before.

Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is

$a_n = a_{n-1} + 7,\quad a_1 = 2$

which means: start with 2 and generate every other term by adding 7 to the previous one.

5 0

3 years ago

6 sweets cost 24p altogether how much do 5 sweets cost

iragen [17]

24 divided by 6 equals 4. Each sweet is worth 4p. If you multiply 5 by 4 you get 20, so the answer is 5 sweets cost 20p.

4 0

2 years ago

Find the missing side of this right

navik [9.2K]

Answer:

x = 13

Step-by-step explanation:

First start with the blank equation

$a^{2} + b^{2} = c^{2}$

Plug in the legs and hypotenuse. Remember c squared is always the hypotenuse.

$5^{2} + 12^{2} = c^{2}$

Then solve

25 + 144 = $c^{2}$

169 = $c^{2}$

$\sqrt{169} = \sqrt{c^{2} }$

c = 13

3 0

2 years ago

Pat is painting a stage backdrop for a play. The paint he is using covers 90 square feet per quart. How many quarts of paint sho

Scorpion4ik [409]

A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
A = (18.5 ft)*(30 ft) = 555 ft²

b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.

4 0

2 years ago

A castle has to be guarded 24 hours a day five knights are ordered to split each day's guard duty equally how long will each kni

disa [49]

Answer:

Each knight will 4.8 hrs spend on guard in one day

Step-by-step explanation:

A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally

Each knights has to guard equally l.e for equal time .

That means 24 hours time has to be equally divided among the 5 knights

= 24 / 5 = 4.8

Each knight will spend on guard in one day = 4.8 hrs

4 0

2 years ago