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3 years ago

A tortoise can walk 1/2 a mile in 1/4 of an hour. The hare can run 1 1/2 miles in 1/1 hour

Mathematics

1 answer:

Art [367]3 years ago

7 0

To get the miles of the tortoise just add each of the hours by 2 and to get the miles of the hare just add the hours by 3

Tortoise-Add Hours By 2
Hare-Add Hours By 3

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For what values of <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formul

11Alexandr11 [23.1K]

Answer:

$x1$

Step-by-step explanation:

We have:

$(x+5)(x-1)$

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

$(x+5)(x-1)>0$

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

$(x+5)(x-1)=0$

Zero Product Property:

$x+5=0\text{ or } x-1=0$

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

$x=-5, 1$

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

$x1$

And we're done!

7 0

3 years ago

Read 2 more answers

How to multiply 11*121

soldier1979 [14.2K]

Answer:1,331

Step-by-step explanation:put 121 on top and 11 on the bottom then start multiply , or you could use a calculator / Photo-math if you’re feeling lazy

5 0

3 years ago

Một lô hàng chứa rất nhiều sản phẩm, trong đó tỷ lệ sản phẩm loại tốt là 70%. chọn ngẫu nhiên từ lô hàng ra 5 sản phẩm. gọi X là

den301095 [7]

trả lời : lâp bảng

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

8 0

3 years ago

A convex polyhedron has faces that consist of 30 squares, 20 triangles, and 12 pentagons. The polyhedron has 120 edges. How many

VLD [36.1K]

D)))))) which is 180

5 0

3 years ago

Read 2 more answers

Give the solution set for the inequality 7x < 7(x - 2) in interval notation.

eduard

ANSWER:

The solution set for the inequality 7x < 7(x - 2) is null set $\varnothing$

SOLUTION:

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is $\varnothing$

3 0

3 years ago