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3 years ago

Could someone check this again

Mathematics

2 answers:

vitfil [10]3 years ago

7 0

Yes you are answer is correct

ANTONII [103]3 years ago

5 0

Answer:

yeah your right

Step-by-step explanation:

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TUZ.U410)

ICE Princess25 [194]

Answer:

Part A: 15

Part B:

Point slope form: $y-400=15(x-5)$

Slope intercept form: $y =15x+325$

Standard Form: $15x-y+325=0$

Part C: $g(x) =15x+325$

Part D: 505

Step-by-step explanation:

We are given the following

x g(x)

5 $400

10 $475

We can see that these are two points on the line.

i.e. (5, 400) and (10, 475)

$x_1 = 5\\x_2 = 10\\y_1 = 400\\y_2 = 475$

Part A: Slope of the function:

$m=\dfrac{y_2-y_1}{x_2-x_1} \\\Rightarrow m = \dfrac{475-400}{10-5}\\\Rightarrow m = \dfrac{75}{5} = 15$

So, slope of the line = 15

It has a positive slope and the function will be increasing with the increasing value of 'x'.

Part B:

Point slope form of a line is given as:

$y-y_1=m(x-x_1)$

Putting $(x_1, y_1)\ as\ (5, 400)$ :

$y-400=15(x-5)$

Slope intercept form:

$y=mx+c$ where c is the intercept.

$y =15x+c$

Putting (x,y) as (5, 400) to find c:

$400=15\times5+c\\\Rightarrow c = 325$

So, the equation in slope intercept form:

$y =15x+325$

Standard form of line:

$Ax+By+C=0$

Rewriting the slope intercept form:

$15x-y+325=0$

Part C:

Using the function notation, putting y = g(x) in slope intercept form:

$g(x) =15x+325$

Part D:

Balance after 12 days = ?

i.e. g(x) = ? at x = 12

Putting x = 12 in $g(x) =15x+325$

$g(12) =15\times 12+325\\\Rightarrow g(12)=505$

7 0

3 years ago

Round the number to the nearest thousand. 5,732 >

AfilCa [17]

Answer:

6000

Step-by-step explanation

4 0

4 years ago

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Which calculations could be used to solve this problem?

Diano4ka-milaya [45]

I think c and d (I might be wrong)

4 0

3 years ago

Eddie the elf made 13 toys one day in the workshop. some were dolls and the rest were action figures. the number of action figur

Lunna [17]

To solve this problem we first call x = number of action figures, y = number of dolles. A system of two equations with two unknowns must be made to describe the problem. The system is the following:
(x + 1) + y = 13
1/2 * x = y.
Then solving the system we have that x = 8 and y = 4.
Since we know that the number of action figures is twice as many dolls plus one, then x = 8 + 1 = 9.
Thus,
dollos = 4
action figures = 9

3 0

3 years ago

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation c

Mariulka [41]

46+w=231

w=185

# brown eggs (46) + # white eggs (w) = total # of eggs (231)

7 0

3 years ago

Read 2 more answers

Could someone check this again ​

Could someone check this again