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3 years ago

Quadratic equations of the form _____ can be solved using square roots

Mathematics

1 answer:

icang [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "

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What is the inequality 4x-7<5

Grace [21]

Answer:

x < 3

Step-by-step explanation:

$4x-7 < 5\\4x-7+7 < 5+7\\4x < 12\\\frac{4x}{4} < \frac{12}{4}\\x < 3$

8 0

2 years ago

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How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 stude

Anna [14]

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

$T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675$

The committee of 8 members can be selected in 990,675 different ways.

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2 years ago

Stephan's glass holds 450 millileters of milk. Farrah's glass holds 2/5 as much milk. How much milk does Farrah's glass hold?

inysia [295]

450*(2/5)

450 and 5 can simplify to 90

90*2 is 180

3 0

2 years ago

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Convert 3.2 repenting decimal into a fraction

Olenka [21]

$x =3.\bar{2}\\10x = 32.\bar{2}\\\\ 10x - x = 32.\bar{2} - 3.\bar{2}\\9x = 29\\x = \frac{29}{9}\\\\\\ \boxed{\bf{\frac{32}{9} = 3.\bar{2}}}$

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2 years ago

A cheetah can run 70 miles per hour.What is this speed un feet per hour

Debora [2.8K]

The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:
One mile equals 1760 yards
In feet that is 3 x 1760 or 5,280
So Feet per hour will be 5280 x 70 or
369,600 feet per hour.

8 0

3 years ago

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