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mamaluj [8]
3 years ago
13

What is the product? (4y − 3)(2y2 + 3y − 5)

Mathematics
2 answers:
amm18123 years ago
7 0

Answer:  The required product is 8y^3+6y^2-29y+15.

Step-by-step explanation:  We are given to find the following product :

P=(4y-3)(2y^2+3y-5).

To find the given product, we need to multiply each term of the first expression to each term of the second expression.

The multiplication is as follows :

P\\\\=(4y-3)(2y^2+3y-5)\\\\=4y(2y^2+3y-5)-3(2y^2+3y-5)\\\\=8y^3+12y^2-20y-6y^2-9y+15\\\\=8y^3+6y^2-29y+15.

Thus, the required product is 8y^3+6y^2-29y+15.

Mkey [24]3 years ago
6 0
All ya got to do is break is down

Step 1) 4y(2y2+3y-5)-3(2y2+3y-5)
Step 2) 8y3+12y2-20y-3(2y2+3y-5)
Step 3) 8y3+12y2-20y-(6y2+9y-15)
Step 4) 8y3+12y2-20y-6y2-9y+15
Step 5) 8y3+(12y2-6y2)+(-20y-9y)+15

Then you got to simplify and you have to

Leave the

8y3 +

12-6= number y2 -

-20-9=- number y

Then leave the 15



Sorry your doing the same math as me so I get carried away :p


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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su
Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=2-x^2

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = 2-p^2

Area = l*w = 2(2p-p^3)

Use derivative test

I derivative = 2(2-3p^2)

II derivative = -12p

Equate I derivative to 0 and consider positive value only since we want maximum

p = \sqrt{\frac{2}{3} }

Thus width= \sqrt{\frac{2}{3} }

Length =2\sqrt{\frac{2}{3} }

Width = 2-2/3 = 4/3

3 0
3 years ago
5 + 4x - 2x = 8x + 11 + 12<br><br> Explain step by step PLEASE
Yuliya22 [10]

Answer:

The solution is x = -3

Step-by-step explanation: Please brainliest!

4 0
2 years ago
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The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k
n200080 [17]

Answer:

The value of a will be  a=-\frac{1}{2}

Step-by-step explanation:

Start by graphing the parabola and  the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes

so the y = 0 points are (1,0) and (4,0).

The x = 0 intersection is when y=a(-1)(-4) or (0,4a)

The base and height of this triangle are

The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.

Hence, base=3 units and height = 4a units. Thus, area can be calculated as

A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3

a=\frac{1}{2}

∵ the parabola opens downward therefore a will be negative.

hence,  a=-\frac{1}{2}

3 0
3 years ago
I need help on this question as soon as possible. If anybody can give me the correct answer I’ll give brainly. I just need help.
3241004551 [841]

Answer:

The solution of the system is (6, 9).

Step-by-step explanation:

Solve one of the variables and substitute the answer for the other variable.

Select one of the problems and solve for x.

3x+y=27

Subtract y from both sides.

3x+-y=27

Divide both sides by three.

x=1/3(-y + 27)

Multiply 1/3 by -y + 27.

x = -1/3y + 9

Replace -y/3 + 9 for x in the other problem 3x-2y=0.

3(-1/3y + 9) - 2y = 0

Multiply 3 by -y/3 + 9.

−y+27−2y=0

Add -y to -2y.

−3y+27=0

Subtract 27 from both sides of the problem.

−3y=−27

Divide both sides by −3.

y=9

Replace 9 for y in x=−1/3​y+9.

x=−1/3*9+9

Multiply −1/3​ times 9.

x=-3+9

Add 9 to -3.

x = 6.

x = 6, y = 9.

3 0
2 years ago
NEED HELP! Which equation represents a circle with a center at (-5,5) and a radius of 3 units?
Alja [10]

Equation of the circle is (x + 5)² + (y - 5)² = 9

Step-by-step explanation:

  • Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²

Equation is (x - -5)² + (y - 5)² = 3²

⇒ (x + 5)² + (y - 5)² = 9

7 0
3 years ago
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