L Pretest: Unit 2
Question 16 of 45
A relation is called a function when each element in the domain is paired with
just one element from which of the following?
OA. Range
OB. Solution variables
OC. Independent variables
OD. Inputs
SUBMIT

Answer:

x= -6h

Step-by-step explanation:

opening up the bracket

10x+20h=12x+32h

10x-12x=32h-20h

-2x=12h

x=-6h

Answer:

x=-6h

Step-by-step explanation:

Isolate the variable by diviiding each side by factors that don't contain the variable. Hopefully this is helpful :)

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

Graph the -4 on the X-axis, and the 6 on the Y-axis

~theLocoCoco

Answer:

I added a picture of a coordinate plane below.

First of all, you should know that the first number should always be on the X-axis, and the second is always on the y-axis.

The x-axis is the horizontal line. The y-axis is the vertical line.

I have this little trick that will help you find the place to put the dot:

So, now you have to look for -4 on the x-axis. Put your finger on it.

Now, search for 6 on the y-axis. Put your finger on there once you found it.

Finally, push your finger on the -4 up, and push up your finger on 6 until they meet. That's where your dot will go.

Answer:

I would need a picture to answer the question

Answer:

4x1x1

Step-by-step explanation:

4xbxc all variables such as b,c,x equal 1.

The answer would be B.

Answer: 17/22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3.68181818182=33409090909150000000000

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

3.68181818182=3.681818181821

Multiply to remove 11 decimal places. Here, you multiply top and bottom by 1011 = 100000000000

3.681818181821×100000000000100000000000=368181818182100000000000

Find the Greatest Common Factor (GCF) of 368181818182 and 100000000000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

368181818182÷2100000000000÷2=18409090909150000000000

Simplify the improper fraction,

=33409090909150000000000

In conclusion,

3.68181818182=33409090909150000000000

Step-by-step explanation:

(2×8² - 2²×8)/(2×8)

before we start typing things into the calculator, we see that the fraction can be simplified :

(2×8² - 2²×8)/(2×8) | divide top and bottom by 2

(8² - 2×8)/8 | divide top and bottom by 8

(8 - 2)/1 = 6/1 = 6

The data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.

Qualitative data is information that cannot be counted, quantified, or stated numerically. It is derived from text, voice, and images and is disseminated via data visualization techniques such as word clouds, concept maps, graph databases, timelines, and infographics.

Quantitative data are numerical measurements of values or counts. Quantitative data are numerical variables (e.g. how many; how much; or how often).

These are of two types:

In the question, we are informed that Patrick is collecting data on shoe size.

We are asked what type of data this will be.

As shoe sizes are given in numeric values, it is quantitative data.

And as these numbers are whole numbers, it is discrete quantitative data.

Thus, the data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.

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Answer:

RATIONAL

Step-by-step explanation:

The cardinality of set A (n(A)) is 3.

The cardinality of set B (n(B)) is 4.

To find the cardinality of a set, we count the number of elements in that set.

For set A, we need to count the number of integers between -6 and -4 (inclusive).

The integers in this range are -6, -5, and -4.

Therefore, the cardinality of set A (n(A)) is 3.

For set B, we simply count the number of elements given in the set. From the given set B = {-29, 20, 28, 29}, we have 4 elements.

Therefore, the cardinality of set B (n(B)) is 4.

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Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, \( y = mx + b \), where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} \).

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

\( y = mx + b \)

\( 1 = -\frac{3}{4}(6) + b \)

\( 1 = -\frac{18}{4} + b \)

\( 1 = -4.5 + b + 4.5 \)

\( 1 + 4.5 = -4.5 + b + 4.5 \)

\( 5.5 = b \)

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

Answer:

3.15g

Step-by-step explanation:

2.2 g of the​ substance, to the nearest tenth of a​ gram, will be present after 9 ​yr.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

Given, 10g of a radioactive substance is present initially and 4 yr later only 5.0g​ remain.

∴ y₄ = y₀.e^(kt).

5 = 10.e^(4k).

e^(4k) = 1/2.

lne^(4k) = ln(1/2).

4k = - 0.69.

k = - 0.69/4.

k = - 0.17.

At this rate after 9 years later the amount of substance left will be,

y₉ = 10.e^(-0.17×9).

y₉ = 10.e^(-1.53).

y₉ = 10/e^(1.53).

y₉ = 10/4.62.

y₉ = 2.16 g.

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Answer:

The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.

Answer:

x = 8/9

Step-by-step explanation:

Hello!

"3 more than half a number" is the same as 3 + 0.5x.

"1 less than 5 times the number" is the same as 5x - 1.

Solve for x, if both expressions are equal.

The value of x is 8/9.

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Answer:

\(2^3\times 3^2\)

Step-by-step explanation:

\(72\\\\72\:\mathrm{divides\:by}\:2\quad \:72=36\times\:2\\\\=2\times\:36\\\\36\:\mathrm{divides\:by}\:2\quad \:36=18\times\:2\\\\=2\times\:2\times\:18\\\\18\:\mathrm{divides\:by}\:2\quad \:18=9\times\:2\\\\=2\times\:2\times\:2\times\:9\\\\9\:\mathrm{divides\:by}\:3\quad \:9=3\times\:3\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\=2^3\times 3^2\)

Answer:

So, the prime factorisation of 72 are 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers.

Step-by-step explanation:

Answer:

B. 1,500 millimeters

Answer:

.........................................................

Step-by-step explanation:

.................................................

Answer:

False

Step-by-step explanation:

When the Ftest is used to test the overall significance of a multiple regression model, it evaluates the significance of independent variables to the outcome of the regression model. The null hypothesis of an Ftest when used for multiple regression is that, the independent variables aren't significant in the outcome of the regression model while the alternative Hypothesis claims that the independent variables are significant .

For the overall significance evaluation, once one of the independent variables proves significant, then the overall Ftest is significant, that is it does not require that all individual independent variables are significant. The null only stands when all the independent variables are insignificant.

Therefore, the overall Ftest for significance isn't enough to prove that all individual. Independent variables are significant when the null is rejected.

The length of z in the triangle is 97 inches.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the side z of the triangle XYZ using sine law as follows:

a / sin A = b / sin B = c / sin C

Hence,

500 / sin 117 = z / sin 10

cross multiply

500 sin 10 = z sin 117

divide both sides by sin 117

z = 500 sin 10  / sin 117

z = 86.8240888335 / 0.89100652418

z = 97.4410774411

Therefore,

z = 97 inches

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Answer:

one solution at x=1,y=4 point

Answer:

b= -1/2 or b= -3

Step-by-step explanation:

4b²+14b+6=0

4b²+12b+2b+6=0       {4×6=24, 12×2=24 and 12+2=14}

4b(b+3)+2(b+3)=0

(4b+2)(b+3)=0

4b+2=0 or b+3=0

b= -1/2 or b= -3

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

Answer:

p and q, p and r, q and s

Step-by-step explanation:

hope that helps