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Rudiy27
4 years ago
9

Help me on 56 57 59 and 60 plz ASAP

Mathematics
1 answer:
choli [55]4 years ago
6 0

Answer:

56. A  57. C  59.B 60.C

Step-by-step explanation: This applies to 56, 57, 59, and 60.

Multiply the starting number(ie. 360) by whichever percentage(ie. 60%) until you get the desired result. If you need more help ask your teacher to get a better understanding.

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A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
KatRina [158]

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

3 0
3 years ago
Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green s
alexgriva [62]

Answer:

Therefore, the area of green space would be 30 square yards.

Step-by-step explanation:

The area G that is designated as green space can be modeled by the polynomial 2x^2-7x

the area M that is devoted to mechanical support can be modeled by the polynomial x^2-9x+24.

We are asked to find the area of the green space, when area of roof (R) is 36 square yards.

The area of roof would be equal to sum of areas of green space and mechanical support.

R=G+M

G = 2x^2 -7x M = x^2 -9x +24

the total area is given by 36 yd^2. And we know that:

R = 36 yd^2 = G+M

Replacing the info given we got:

36 = 2x^2 -7x +x^2 -9x +24\\\\ 12= 3x^2 -16 x

And we can rewrite this expression like this:

3x^2 -16 x -12 =0

And we can use the quadratic formual to solve this problem:

X =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

With a = 3, b = -16 , c =-12. Replacing we have

x = \frac{16 \pm \sqrt{(-16)^2 -4*(3)*(-12)}}{2*3}

And the solutions for this case are:

Since length cannot be negative, therefore, the value of x would be 6.

The area of green space would be:

x = 6

2x^2-7x\Rightarrow 2(6)^2-7(6)\\\\2x^2-7x=2(36)-42\\\\2x^2-7x=72-42\\\\2x^2-7x=30

the area of green space would be 30 square yards.

8 0
3 years ago
What is the input value other than -7, for which h (x) = 3?
erik [133]

Answer:

x=5

Step-by-step explanation:

h (x) = 3

We want the x values where y =3

The values are x = -7 and x=5

6 0
3 years ago
Which of the following is a quadratic function?
serious [3.7K]
<span>a. y = x^2 – 81 is a quadratic function.
According to the definition: 
A quadratic function is defined as a function with the maximum coefficient of 2.Only first option has a coefficient of 2 and the rest have not.</span>
3 0
4 years ago
If a+b=6 and ab=9 find the value of a3+b2​
dsp73
15. If a+b=6 and ab=9 that means a and b must each equal 3. Then plug it into the equation and solve. (3)3+(3)2 = 15
6 0
3 years ago
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