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3 years ago

Solve 2/3 x d = 10/9

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

8 0

Answer:

Exact Form:

d = 5 /3

Decimal Form:

d = 1. 6

Mixed Number Form:

d =1 2/ 3

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How can we efficiently multiply by multiples of 10?

Naily [24]

Answer:

just add a zero

Step-by-step explanation:

because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.

4 0

3 years ago

The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

3 years ago

The graph of which function is decreasing over the interval (–4, ∞)? f(x) = (x + 4)2 + 4 f(x) = –(x + 4)2 + 4 f(x) = (x – 4)2 –

kow [346]

Your post would be clearer if you'd please put each function on its own line:

f(x) = (x + 4)2 + 4

f(x) = –(x + 4)2 + 4

f(x) = (x – 4)2 – 4

f(x) = –(x – 4)2 – 4

Also, use "^2" to denote "squaring." x2 has no meaning.

f(x) = (x + 4)^2 + 4 has a parabolic graph with vertex (-4,4). It increases steadily once x is greater than -4. Reject this choice.

f(x) = –(x + 4)^2 + 4 has a parab. graph with vertex (-4,4) also. It decreases steadily once x is greaster than -4. This is the answer.

Analyze the other 2 possible answers in the same way, please.

9 0

3 years ago

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Find the missing side lengths leave your answer as a racials simplest form

konstantin123 [22]

Answer:

x = 20

y = 10

Answered by Gauthmat

8 0

3 years ago

Which statements are true about the rules of multiplication for signed numbers? Check all that apply. The product of two negativ

blsea [12.9K]

Answer:

A, C, D

Step-by-step explanation:

As important rules of thumb that you should remember:

- the product of 2 negatives ALWAYS makes a positive

- the product of 2 positives ALWAYS makes a positive

- the product of 1 positive and 1 negative ALWAYS makes a negative

Now, look at the answer choices:

- "The product of two negative integers is positive" this is true

- "The product of two integers with different signs is positive" this is essentially saying that the product of a positive integer with a negative integer is positive, which is false

- "If two numbers are the same sign, then the product is positive" this is true, as can be seen by the first two bullet points at the beginning

- "The product of a positive and a negative is negative" this is true

- "If the signs of two integers are different, then the product is positive" this is false because of the third statement above

The answers are A, C, and D.

4 0

3 years ago

Read 2 more answers