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2 years ago

If P = 4x^4 - 3x^3 + x² - 5x + 11 and Q = -3x^4 + 6x^3 - 8x² + 4x - 3, what is P - 2Q?

Mathematics

1 answer:

vazorg [7]2 years ago

7 0

Answer:

10x^4-15x^3+17x^2-13x+17

Step-by-step explanation:

P-2Q

Replace P and Q with the given values,

4x^4-3x^3+x^2-5x+11-(2(-3x^4+6x^3-8x^2+4x-3)

4x^4-3x^3+x^2-5x+11-(-6x^4+12x^3-16x^2+8x-6)

4x^4-3x^3+x^2-5x+11+6x^4-12x^3+16x^2-8x+6

10x^4-15x^3+17x^2-13x+17

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2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 2

Verdich [7]

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

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3 years ago

Find such m, that point (-2,4) is on line y=mx-3

Andreas93 [3]

Answer:

-3.5 ( or -7/2)

Step-by-step explanation:

we can substitute the point into this function to find out the answer

that is:

4 = m*(-2) -3

7 = m*(-2)

m = 7 / (-2)

m = -3.5

3 0

2 years ago

Use the diagram of point O. What is the length of OY to the nearest 10th of an Inch? XZ = 10 and OX= 10

Lady bird [3.3K]

From the diagram above,

XZ = 10 in and OX = 10 in

we are to find length of OY

XZ is a chord and line OY divides the chord into equal length

Hence, ZY=YX= 5 in

Now we solve the traingle OXY

To find OY we solve using pythagoras theorem

$(Hyp)^2=(Opp)^2+(Adj)^2$

applying values from the triangle above

$\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}$

Therefore,

Length of OY =

$5\sqrt[]{3}$

8 0

10 months ago

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid

PolarNik [594]

Akira needs 45 square inches of gold foil to cover the chair free including the bottom

Step-by-step explanation:

Total surface = surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square =

where s is the side length

The the surface area of the base = = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle =

On substituting the values,

The area of the triangle =

The area of the triangle = 9 square inches

Now the area of 4 triangles = 4 x 9 = 36 square inches

Thus the total surface area = 9 + 36 = 45 square inches

3 0

3 years ago

Read 2 more answers

PLEASE HELP ME

Wewaii [24]

7-5.5=1.5
so each drop leaf is 1.5
2×1.5=3
so 7 when both drop leafs are up
7-3=4
There's your answer

5 0

3 years ago

Read 2 more answers