MATHEMATICS HIGH SCHOOL

Evaluate the expression 8/d + 3 when d=4

Answers

Answer 1
Answer:

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨
Answer 2
Answer:

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

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Find the degree of the polynomial: 8r3 + 7r5 + 2r

Answers

5. The degree of the polynomial is the highest number degree in the polynomial.

Final answer:

The degree of a polynomial is determined by the highest exponent in the terms of the polynomial. The polynomial 8r3 + 7r5 + 2r has a degree of 5, which is the exponent of the highest-degree term, 7r5.

Explanation:

In Mathematics, when dealing with a polynomial, the degree of the polynomial refers to the highest power of the variable in the polynomial. For the given polynomial, 8r3 + 7r5 + 2r, we can see that the degrees of each term are 3, 5, and 1 respectively. The term with the highest degree is 7r5 which has a degree of 5. Therefore, we can conclude that the degree of the given polynomial is 5.

Learn more about Degree of a Polynomial here:

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All of the following are equivalent, except _____.(12 + 3)x
12x + 3x
(12 + 3x)x
15x
HELPPPPP PLEASE

Answers

(12 + 3x)x

Every answer, when distributed and added, comes out to be 15x. However, (12 + 3x)x, when distributed comes out to 12x + 3x^2 (3x squared,) so this means it is not equivalent to the other answer choices.

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah’s conclusion correct? Explain

Answers

No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Based on the survey figures by Micah of the college students who could drive, we can infer that Michah's conclusion is not correct.

Why is Michah not correct?

Out of 60 college students surveyed, only 30 said they could drive. This means that only 50% could drive:

= 30 / 60

= 50%

A 50% relative frequency is not good enough to make the conclusion that one is more likely to drive in college. Rather it means that they are equally likely to drive or not to drive.

Find out more on relative frequency at brainly.com/question/3857836.

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What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =

Answers

f ( x ) =  - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a,  where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6

The axis of symmetry is x = 6

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = (-b)/(2a) } }

Given:

f(x) = - (x + 9)(x - 21)

f(x) = - (x^2 - 21x + 9x - 189)

f(x) = - (x^2 - 12x - 189)

f(x) = -x^2 + 12x + 189

The axis of symmetry is

x = (-b)/(2a)

x = (-12)/(2(-1))

x = (-12)/(-2)

\large {\boxed {x = 6} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Axis , Symmetry , Function

To convert a measurement, Pete must move the decimal point to the left 4 places. This a shortcut for the operation. which operation is he using? Which power of 10 is involved?

Answers

The operation that Pete is using is the operation of multiplying numbers by decimal numbers and the power of 10 involved is 4

If Pete must move a decimal point to the left in 4 places, then the operation she is using is the operation of multiplying numbers by decimal numbers.

  • Since the movement is to the left in 4 places, the power of 10 involves will be a 4

For example,

  • if we are to convert 0.56 say to scientific notation to the power of 4. We will need to move the decimal point to the left 4 times to have 0.000056 * 10^4

Hence the operation that Pete is using is the operation of multiplying numbers by decimal numbers and the power of 10 involved is 4

Learn more here: brainly.com/question/16236436
The moving of decimal to the left is a shortcut to the operation of multiplying number by decimal numbers. So the power of 10 that is involved in converting the measurements of pete is -4, so he needs to multiply the measurement by 10^-4 to convert it.

Heidi grew her hair out for many years. Her hair was 12/10 of a meter long. She donated her hair by cutting off 5/6 of a meter. How long is Heidi's hair now?

Answers

Answer:

0.37 meters.

Step-by-step explanation:

12/10 of 1 meter = 1.2meters

5/6 of 1 meter = 0.8333333333 meters.

1.2 meters - 0.833333333 meters = 0.366666667 meters.

~0.37 meters

Please give brainliest if I am correct, if I am not; sorry about that.
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