MATHEMATICS HIGH SCHOOL

4. When interpreting a scatterplot, the association must be positive or negative.True
False

Answers

Answer 1

Answer: True True True True True True True True

Answer 2

Answer:

The correct answer is:

True.

Explanation:

An association between two variables in a scatterplot is shown by most of the points following a pattern. This pattern can be linear or non-linear. The more closely the points seem to follow this pattern, the stronger the association.

An association in a scatterplot can be negative, meaning that as one variable increases the other decreases, or positive, meaning that as one variable increases the other increases as well. A negative association will appear to decrease on a graph, and a positive association will appear to increase on a graph.

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Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number. Does Jose's statement make sense?

Answers

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Given :

Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Lets take an example and analyze Joe's statement

Let the 4 - digit number is 2131

and a one digit number is 5

Lets multiply it

$2131 \cdot 5=10665$

We can see the the result is a 5-digit number

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Learn more : brainly.com/question/11262281

The correct answer is:

No.

Explanation:

The number of digits in the product depends completely on what digits are being multiplied. For instance, multiplying 2222 by 4 would result in a 4-digit number, 8888. However, if you multiply by 5, since 5(2) = 10, this will change the number of digits in the answer.

Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month?

Answers

Given:
Interest = 180
term = 1 year
Interest rate = 2%

We need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal

Benson pays an additional interest of 9,000 each year. A monthly payment of 750.

9,000 / 12 months = 750 per month.

Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.

What additional interest is Benson paying?

This can be found by the formula:

= (Simple interest amount earned / Number of months in year) / Simple interest rate

Solving gives:

= (180 / 12) / 0.02

= 15 / 0.02

= $750

Find out more on additional interest at brainly.com/question/27037531.

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write an equation of the parabola that has the same shape as the graph of f (x)=4x^2, but with the point (-9,2) as the vertex

Answers

The equation of the parabola is y = a(x - h)^2 + k, where (h,k) is the coordinates of the vertex. In this case, the equation would be y = 4(x + 9)^2 + 2.

How will you define parabola?

Any point on a parabola is equally distant from the directrix, a fixed straight line, and the focus, a fixed point. An U-shaped plane curve is a parabola.

What is a parabola in a graph?

Drawing a parabola for the quadratic function f(x) = $ax^(2)$ + bx + c results in a U-shaped curve. When an is smaller than zero, the parabola's graph is downward (or opens downward). When the value of an is greater than 0, the parabola's graph ascends (or opens up).

Is a parabola a shape?

Every point on a parabola is equally distant from both a focus, or central point, and a directrix, or connecting line. It is a U-shaped curve that frequently appears in math.

Given,

Graph f(x) = $4x^(2)$

Vertex = (-9,2) = (h,k)

So, We can represent the equation in the form of

f(x) = y = a $(x-h)^(2)$ + k

= 4 $(x+9)^(2)$ + 2

Now simplifying the equation y = a $(x-h)^(2)$ + k to y = $ax^(2)$ + bx +c

f(x) = 4 $(x+9)^(2)$ + 2

= $4x^(2)$ + 72x + 326

∴ f(x) = $4x^(2)$ + 72x + 326 is the equation of parabola

Learn more about the parabola here:
brainly.com/question/64712
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following f(x)=af(b(x-h))+k as my general guideline for writing transformations, you need to know the point (h,k) serves as the "new origin" of the function.
in your original equation (the squared function),
a=4
b=1
h=0
k=0
we need h=-9 and k=2, so plopping those numbers in gives you
f(x)=4(x+9)^2 +2

Simplify:
8.7+5.8-3.1*1*2.3

Answers

$8.7+5.8-3.1*1*2.3 = (8.7 + 5.8) - (3.1 * 2.3)$

$(14.5) - (7.13)$

$7.37$

I'm assuming that 1*1 means 1 times 1 and not 1^1 so

8.7+5.8-3.1*1*2.3
pemdas so mutiplication first
-3.1*1*2.3=-3.1*2.3=-7.13 since opposite signs multiplied make negative
then addition subtraction
8.7+5.8-7.13
14.50-7.13
7.37

Fast as possible, 100 point
Write an expression for the Product of (x+5)(x-3)