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elena-14-01-66 [18.8K]
3 years ago
11

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 <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>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

b,

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
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Give the solution set for the inequality<br> 7x &lt; 7(x - 2) in interval notation.
eduard

<u>ANSWER:</u>

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

<u>SOLUTION:</u>

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
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