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FrozenT [24]
3 years ago
6

Write an equation to represent this situation: Kelly earns $9.50 per hour that she baby-sits. Use T to represent total earned an

d h to represent hours worked.
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
The equation would be.....9.5h=T
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Work out m and c for the line: 3 y + 6 x = − 3
Usimov [2.4K]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
  • c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

8 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
At what point does a line with a slope of 34 and a y-intercept of -5 intersect a line with a slope of −14 and a y-intercept of 3
maw [93]
Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y.  y = 34x - 5 and y = -14x+3.  Set those equal to each other, solve for x to get x = 1/6.  Sub in that x value to get y = 2/3.  The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
4 0
3 years ago
if a men's shirt cost R299 now and R450 before the sale with what percentage did the price of the shirt decrease​
Charra [1.4K]
First can you tell me the difference in price
3 0
3 years ago
3 - k - 5k =3 <br> i need help on this asap
weeeeeb [17]

Hello there!

3-k-5k=3

Combine like terms:

3-6k=3

-6k=3-3

-6k=0

k=0

Hope it helps!

~Just a determined gal

#CarryOnLearning

MysteriousNature

8 0
3 years ago
Read 2 more answers
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