MATHEMATICS HIGH SCHOOL

Plz factor
2x^2+17x-21

Answers

Answer 1
Answer: 2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
     2a
so

-17 +/- (17^2-4(2)(-21))^1/2
       2(2)
-17 +/- (457)^1/2
       4

so the zeros are roughly 1.094 and -9.594

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1+4=5,2+5=12,3+6=21,8+11=?
The quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is A. 115/465. B. 23/93. C. 75/373. D. 93/23 or 4 1/23.
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What is 4 divided by 631

Answers

4÷631=157.75 hope that helps ya!!!!

Which of the following gives an example of a set that is closed under multiplication? Choose all that apply.. . . . A. The product of a perfect cube and a perfect cube. B. The product of 0 and 0. C. The product of a whole number and a whole number. D. The product of a perfect square and a perfect square. . I think its b and c? help anyone...

Answers

All the four choices that are given in the question can be considered as as examples of a set that is closed under multiplication. The correct options among all the options that are given in the question are options "A", "B", "C" and "D". I hope that the answer has come to your help.

Answer:

The correct answer is:

Option: A , Option: B , Option: C , Option: D

Step-by-step explanation:

For a set to be closed under multiplication means if two elements are taken from that set then their multiplication must also belong to the same set.

A)

The product of a perfect cube and a perfect cube.

Let a be a perfect cube of "m"

and b be a perfect cube of "n"

i.e.

a=m^3\n\nand\n\nb=n^3

Hence,

a\cdot b=m^3\cdot n^3\n\ni.e.\n\na\cdot b=(mn)^3

i.e.

a\cdot b\ \text{is a perfect cube of mn}

Hence, this set if closed under multiplication.

B)

The product of 0 and 0.

when we take the product of 0 and 0 then the resultant is also zero.

Hence, this set  is also closed under multiplication.

C)

The product of a whole number and a whole number.

When we multiply a whole number to a whole number then the product is again a whole number.

This set is also closed under multiplication.

D)

The product of a perfect square and a perfect square.

Let us take two elements of the set as x and y

i.e.

x=a^2

and

y=b^2

Hence,

x\cdot y=a^2\cdot b^2\n\ni.e.\n\nx\cdot y=(ab)^2

i.e.

x\cdot y\ \text{is\ also\ a perfect\ square}

Hence, the set is closed under multiplication.

If A(1/3.5, 5) and B(10,39)..
Find the slope

Answers

Answer:

b 1/3.5

Step-by-step explanation:

If a car covers 102 km in 6.8 liters of petrol , how much distance will it cover with 24.2 liters of petrol

Answers

x-distance\n\nFrom\ proportion:\n\n6.8\ \ \ -\ \ \ 102\n24.2\ \ -\ \ \ x\n\n6.8x=2468.4\ \ \ \ \ \ |:6.8\nx=363\n\nThis\ car\ can\ cover\ 363\ miles

Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:

Answers

Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

To find the y intercept set x =0 and solve for y

y= 0 - 32

y = -32

( 0, -32)

Answer:

(0, -32)

(3.2, 0)

Step-by-step explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

y=mx+b

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

0=10x-32\n\n0 + 32 = 10x-32+32\n\n32=10x\n\n(32)/(10)=(10x)/(10)\n\n(32)/(10)=x\n\n\rightarrow (32/2)/(10/2)=(16)/(5)\n\n \boxed{x=(16)/(5)}

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

Which of the following rational functions is graphed below??

Answers

The correct answer is letter B!!
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