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2 years ago

Item 4 Write the word sentence as an inequality. A number b is at least −3.

Mathematics

1 answer:

never [62]2 years ago

7 0

Answer: b≥-3

Step-by-step explanation:

at least means that it's great or equal than -3.

b≥-3

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A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec

Anna35 [415]

Answer:

(2, 5).

Step-by-step explanation:

The length of the line joining the first 2 points = (5 - 3) = 2 units. This is a vertical line because the 2 x coordinates ( -6 and - 6) are equal.

The line joining ( -6 , 3) and (2 , 3) is horizontal and is 2 - -6 = 8 units long.

Because we have a rectangle the point we need to find must have x coordinate of 2 and the y coordinate will be 2 more than the y coordinate 3.

.So it is (2, 5),

7 0

2 years ago

Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i

Soloha48 [4]

$Solve \ x^4 - 17x^2 + 16 = 0$

To solve this equation , we need to write it in quadratic form

$ax^2+bx+c=0$

To get the equation in quadratic form we replace x^2 with u

$x^2 = u$

$x^4 - 17x^2 + 16 = 0$ can be written as

$(x^2)^2 - 17x^2 + 16 = 0$ , Replace u for x^2

So equation becomes

$u^2 - 17u + 16 = 0$

Now we factor the left hand side

-16 and -1 are the two factors whose product is +16 and sum is -17

(u-16) (u-1) = 0

u -16 = 0 so u=16

u-1 =0 so u=1

WE assume u = x^2, Now we replace u with x^2

$u = 16 so \ it \ becomes \ x^2 =16$

Now take square root on both sides , x= +4 and x=-4

$u = 1 so \ it \ becomes \ x^2 =1$

Now take square root on both sides , x= +1 and x=-1

So zeros of the function are -4, -1, 1, 4

8 0

2 years ago

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For which of the following compound inequalities is there no solution?

tamaranim1 [39]

Answer:

I THINK A

Step-by-step explanation:

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2 years ago

What is the same ration of 2/3

frez [133]

Answer:

4/6

Step-by-step explanation:

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2 years ago

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A pharmacist added 50 g of drug to make a total of 200 mL of solution. What is the percentage of drug in the resultant solution?

Bad White [126]

Answer: 25%

Step-by-step explanation:

Given : A pharmacist added 50 g of drug to make a total of 200 mL of solution.

Here, Resultant solution = 200 mL

Amount of drug = 50 g

We know that 1 gram = 1 ml

So, we can say the amount of drug = 50 ml

Now, the percentage of drug in the resultant solution:-

$\dfrac{50}{200}\times100=25\%$

Hence, the percentage of drug in the resultant solution= 25%

6 0

3 years ago