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3 years ago

An inequality is a mathematical statement that ________________the relative values of two expressions.

Mathematics

2 answers:

Natali [406]3 years ago

8 0

Answer:

An inequality is a mathematical statement that EXPLAINS the relative values of two expressions.

vichka [17]3 years ago

4 0

An inequality is a mathematical statement that COMPARES the relative values of two expressions.

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Which of these expressions is equal to 2(43 - p)?

nirvana33 [79]

Answer:

C. (2×43) - (2×p)

Step-by-step explanation:

The question is 2(43-p)

Which means 2 is multiplying the bracket.

So the answer to the question is 2×43 - 2×p

Which will give us 86 - 2p

So you then solve all the possible answers to see if it the same answer as the one we got

5 0

3 years ago

Jonathan spins the spinner 10 times. What is the theoretical probability that it stops on the black sector on the last spin?

gayaneshka [121]

1 over 4. It asks for the last spin only.

7 0

3 years ago

I need the answer to a parts I-iii and the answer to b

fomenos

Answer:

i) Mean = 72

ii) Median = 72

iii) Mode = 72

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

a. To find mean, median and mode

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

i) mean = (sum of data)/(total number of data)

= (9 * 72)/9 = 9

ii) Median - Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

iii) Mode - Most repeating data in the data set

Here mode = 72

b). To find a data set

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

3 0

3 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential growth

(First answer option)

Step-by-step explanation:

General form of an exponential function

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given exponential function:

$y=4(10)^x-3$

<h3>x-intercept</h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3>Asymptote</h3>

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

$f(x)=b^x$

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3>Exponential Growth and Decay</h3>

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0

1 year ago

−x+4y=4 −x+3y=1 Is (8,3) a solution of the system A. Yes B. No

valkas [14]

It has to be yes........

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3 years ago