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1 year ago

Over What Interval is The Function In This Graph Increasing?

Mathematics

1 answer:

irina1246 [14]1 year ago

8 0

The correct answer is option D.which is -4 ≤ x ≤ 1.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

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You might be interested in

What are the slope and why intercept shown on the graph below

viktelen [127]

Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

$\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

$\frac{5(-5)}{0-4}$

Simplify:

$\frac{5+5}{-4}$

$\frac{10}{-4}$

$\frac{-5}{2}$

The slope is $\frac{-5}{2}$ .

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!

3 0

3 years ago

Read 2 more answers

Given 2x² = -8, x is<br> A) -2 <br> B) 2<br> C) 2i or -2i <br> B) 4i or -4i<br> NO LINKS!!!

faust18 [17]

Answer:

2x^2=-8

2x^2/2=-8/2

x^2=-4

x=2

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

4 0

3 years ago

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8

morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0

3 years ago

The answer/ why it’s right

pantera1 [17]

<h2>AREA OF RECTANGULAR PRISM=AREA OF cuboid =l×b×h</h2><h2>=15x×7x×3x</h2><h2>=315x³</h2>

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

4 0

3 years ago

Read 2 more answers

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

irakobra [83]

The value of the missing number to complete the linear equation are 31 and -10 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the given tables shows the coordinates of the linear equation and to find the equation we consider any two points let suppose the those two points be (0,-10) and (1,21).

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (21-(-10))/(1-0)

m = 31

Let us first find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-10)) = 31(x-0)

(y+10) = 31x

y = 31x - 10

Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.

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8 0

1 year ago