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Molodets [167]
3 years ago
5

What is the slope of

Mathematics
2 answers:
liraira [26]3 years ago
6 0

Answer:

3/2

Step-by-step explanation:

y = mx + b

where m is slope and b is y-intercept.

If we want to find the slope, you have to convert the equation into slope-intercept form. We have to move the whole equation to another side, leaving only y-term.

2y - 3x = 7 \\ 2y = 7 + 3x \\ y =  \frac{7 + 3x}{2}

Simplify/Rearrange the equation into slope-intercept form.

y =  \frac{7}{2}  +  \frac{3}{2} x \\ y =  \frac{3}{2} x +  \frac{7}{2}

Therefore, our slope is 3/2

earnstyle [38]3 years ago
4 0

Answer:

3/2 is slope  

m= slope

y=mx+b

Step-by-step explanation:

2y=3/2x+7/2

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For 32 = 5X + 2, what is the first step in solving for X?
nikitadnepr [17]

Answer:

-2 from both sides

Step-by-step explanation:

32=5x+2

-2        -2

________

30=5x

__=__

5      5

6=x

4 0
2 years ago
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
zlopas [31]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

8 0
3 years ago
amina bout an air cooler for a AED 3300 including VAT of 5% find the price of the air cooler before VAT was added
Olenka [21]
Cost of air cooler:-3,300
vat added:- 5%
so, price before vat was added:-5/100×3,300=AED165
8 0
3 years ago
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

6 0
2 years ago
Idenify the prime numbers 5,7,12,11
ArbitrLikvidat [17]
5, 7, and 11 are prime numbers.
5 0
3 years ago
Read 2 more answers
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