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2 years ago

Definitions for Math Easy

Mathematics

2 answers:

alexgriva [62]2 years ago

7 0

Variable: typically a quantity that may change within the context of a mathematical problem. We use a letter to represent a variable.
Inverse: is the opposite of another operation
Isolate: make a variable appear alone on one side of an equation
Equation: a statement that two things are equal
Like terms: the same

qwelly [4]2 years ago

5 0

Answer:

variable:a quantity that may change in a math problem

inverse:opposite of multiplying dividing adding or subtracting

isolate:put it by itself

equation:two values are equal

like terms:are alike variables that can be combined

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Simplify 3(7-3) the second power -4(6+2)

expeople1 [14]

Answer:

112

Step-by-step explanation:

3(7-3) = 3 x 4 = 12

12^2 = 144

144 -4(6+2)

144-4(8)

144-32

112

8 0

3 years ago

Read 2 more answers

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec

Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

$P(\hat{p}$

So,

$(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )$

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0

2 years ago

What is 1 divided by 5^-2? Please give clear explanation. thanks.

Pani-rosa [81]

1 / 5^-2

First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.

Now we have 1 / (1/25).

1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25

The answer is 25!

Now if you make this answer as the Brainliest I will appreciate it very much. And for a limited time answer, and no scam or joke, you will receive your very own flying space ship! No scam at all! Try it. Just press the mark as Brainliest and watch your spaceship land in your backyard! But seriously I will appreciate it if you mark this answer as the Brainliest.

7 0

2 years ago

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat

Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = $\dfrac{1}{2}$ hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

$\dfrac{1}{2}$ hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

= 168 feet

The diver dove 168 feet in $\dfrac{1}{2}$ hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is $-168$ feet.

Therefore, the correct option is D.

5 0

2 years ago