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Kisachek [45]
2 years ago
11

Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)

Mathematics
1 answer:
GalinKa [24]2 years ago
5 0

Answer:

(0, -\frac{15}{2} )

Step-by-step explanation:

When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be (0, -\frac{15}{2} ), as x = 0 when y = -15/2.

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Simplify 2(2x+6)+6(2x+2)+5=16x+30
Debora [2.8K]

Answer:

16x=16x+1

0=1

Step-by-step explanation:

4x+12+12x+12+5=16x+30

16x+29=16x+30

16x=16x+1

4 0
2 years ago
A Ms. Carter cut 1,874 strips of paper for a craft project she is doing with a group of students. If there are 8 students in the
Mars2501 [29]

Answer:

We are multiplying.

Step-by-step explanation:

Edge

6 0
2 years ago
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r
pochemuha

Answer:

15360\,\,rupees

Step-by-step explanation:

Let sides of the triangle be a,b,c

a=40\,,\,b=24\,,\,c=32

Semi-perimeter (s) = \frac{a+b+c}{2}

=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48

Area of one tile =\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2

So,

Area of 20 tiles =20(384)=7680\,\,cm^2

Cost of polishing the floor at the rate of 2 rupees per sq.cm = 7680(2)=15360\,\,rupees

7 0
3 years ago
John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

4 0
3 years ago
Read 2 more answers
Nicholas has $50 to use while he is on a vacation. He decides to spend $5
Likurg_2 [28]

Answer:

days(d) = 50 ÷ 5

Explanation:

50 ÷ 5 =  number of days

4 0
3 years ago
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