k(3k−6)−7k(6k+10)=12

Answer:

c

Step-by-step explanation:

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

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Answer:

f(x) = x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = \(\frac{5-0}{0-(-5)}\) = \(\frac{5}{0+5}\) = \(\frac{5}{5}\) = 1

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = x + 5 , or

f(x) = x + 5

Answer:

x+5

Step-by-step explanation:

Because I said so

Answer:

y = -0.5x - 3.5

Explanation:

Take two points: (1, -4), (3, -5)

Find slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

\(\rightarrow \sf slope \ (m) : \dfrac{-5-(-4)}{3-1} = -\dfrac{1}{2}\)

Equation:

\(\sf y- y_1 = m (x - x_1)\)

\(\rightarrow \sf y- (-4) = -\dfrac{1}{2} (x -1)\)

\(\rightarrow \sf y+ 4 = -\dfrac{1}{2} x + \dfrac{1}{2}\)

\(\rightarrow \sf y = -\dfrac{1}{2} x + \dfrac{1}{2} - 4\)

\(\rightarrow \sf y = -0.5 x -3.5\)

The formula of a line is:

\(f(x) = kx + b\)

k — stands for tg of line angle
b — stands for the y value of a point where the line crosses y axis.

We can see 2 points:
A (1, -4)
B (3, -5)

We can make a system of equations:

\(k*1+b=-4\\k*3+b=-5\\\)

From second equation:

\(b = -5 - 3k\)

Let's put b in first equation:

\(k-5-3k=-4\\-2k=1\\k=- \frac{1}{2}\)

Now we can find b:

\(b = -5 -3*- \frac{1}{2}\\b = -5 + 1.5\\b = -3.5\)

The answer is:
-0.5x -3.5

The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

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Answer:

1/ 2.5

Step-by-step explanation:

one way to do this is rise over run, so from one red dot to the other it went up one and over 2.5. the other way to do this is by using the (y2-y1)/(x2-x1) this will give you the same answer :)

Answer:

A) 2^3

B)3^4

C)4^3*5^2

D)9^4*7^2

Step-by-step explanation:

Answer:

the graph represents a function.

Step-by-step explanation:

The vertical line test is a test to check if a graph represents a function.

To proceed, draw (imaginary) vertical lines through the entire domain of the graph.  If any of the line intersects the graph at any value of x, then the graph does not represent a function.

Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.

Answer:

Yes, the graph represents a function.

Step-by-step explanation:

The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.

This is because in a function, each input can only have one output.

So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.

Based on this, the given graph would represent a function.

Answer:

4z

Step-by-step explanation:

-2z² + 4z + 2z²

Combine like terms

-2z^2  + 2z^2   +4z

0z^2 +4z

4z

\(\\ \sf\longmapsto -2z^2+4z+2z^2\)

\(\\ \sf\longmapsto -2z^2+2z^2+4z\)

\(\\ \sf\longmapsto (-2+2)z^2+4z\)

\(\\ \sf\longmapsto 0z^2+4z\)

\(\\ \sf\longmapsto 4z\)

Answer:

$43.65

Step-by-step explanation:

59.99× 85÷100=$50.99

50.99×80÷100=$40.79

107÷100×40.79= $43.65

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

PLS MARK BRANILIEST!!!

This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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Answer:

y = 5/4 + -35

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-5 - -10)/(-1 - -5)

m = 5/4

Slope-intercept: y = mx + b

using (-5, -10)

-10 = 5/4(-5) + b

-10 = -25/4 + b

b = -10 - 25 = -35

b = -25 - 25 = 0

then y = 5/4 + -35

a and b are correct

c is wrong

d can't be decided, because it can be true for one case, but not for others.

so only go for a and b

Answer:

B. The function is linear. (A and D COULD work)

Step-by-step explanation:

If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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\(\\ \sf{:}\!\implies -10x+y=29\)

\(\\ \sf{:}\!\implies y=10x+29\)

Y intercept:-

\(\\ \sf{:}\!\implies y=10(0)+29\)

\(\\ \sf{:}\!\implies y=29\)

Hence

\(\\ \sf{:}\!\implies y=(0,29)\)

X intercept:-

\(\\ \sf{:}\!\implies 10x=y-29\)

\(\\ \sf{:}\!\implies x=\dfrac{y-29}{10}\)

\(\\ \sf{:}\!\implies x=\dfrac{0-29}{10}\)

\(\\ \sf{:}\!\implies x=\dfrac{29}{10}\)

Hence

\(\\ \sf{:}\!\implies x=\left(\dfrac{29}{10},0\right)\)

Answer:

1 exactly iam genius

₩¥₩

Answer:

en contexto, ora al de arriba pa que te ayude porque nose nada xd

Step-by-step explanation:

Answer:

its correct bro ;) click next

Answer:

First Question x = \(17\sqrt{2}\) Second Question x = 36

Step-by-step explanation:

First Question:

Since The triangle is isosceles, \(17^2 +17^2=x^2\) (Pythagoras)

\(x=17\sqrt{2}\)

Second Question

This is half an equilateral triangle, so \((\frac{1}{2}x)^2+(18\sqrt{3})^2=x^2\)

\(\frac{3}{4}x^2=972\)

\(x^2=1296\)

\(x=36\) (cannot be negative)

Given:

The equation is:

\(12=5^x\)

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

\(a=b^x\Leftrightarrow \log_b a=x\)

We have,

\(12=5^x\)

Here, \(a=12,b=5\). By using the above property of logarithm, we get

\(\log_{5}12=x\)

\(x=\log_{5}12\)

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

It’s your mom

-7t+3>-46

Subtract 3 on both sides to cancel it out.

-7t+3>-46

    -3  -3

-7t>-49

Now divide -7 on both sides.

-7t>-49

/-7  /-7

t>7

This means the answer, or t, can be anything above 7.

---

hope it helps

\(-7t+3>-46\)

      \(-3\)      \(-3\)   

___________   solve -46 - 3, which is -49.

\(-7t>-49\)      

___    ___          divide -7 on both sides, -7s should cancel out on the left.

\(-7\)      \(-7\)

\(t>7\), is the final answer

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer: 63

Step-by-step explanation:

The diagram of the scatter plot is given in the attached image below.

The graph of a linear function is a straight line. The following is the form of a linear function.

a + bx = y = f(x).

One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

The data are shown in the table below:

x      y

4     1

5.5   2

7.5   3

9     4

11     5

14     6

From the given choices:

the last diagram of the scatter plot is given in the attached image.

Hence, the scatter plot is given below.

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Answer:

Step-by-step explanation:

Use distributive property: a*(b +c) =a*b + a*c

-3( 6 - 1.5n) = (-3)*6 - (-3)*1.5n

                  = -18 + 4.5n

Answer:

-18 + 4.5n

Step-by-step explanation:

-3(6 - 1.5n) = -3(6) -3(-1.5n)                  Distributive

                  = -18 + 4.5n                       Multiplication. Remember (-) (-) = +

The positive critical value Za/2 = 2.967.

Given data; Significance level a = 0.006Thus, the level of significance, α = 0.006 is the probability of rejecting a true null hypothesis in a statistical test when the chosen significance level is 0.006. This means that the probability of rejecting the null hypothes is when it is actually true is only 0.006.

Positive critical value can be calculated as follows;We know that 1-α = confidence levelWe can also use tables to get the z-score to calculate positive critical value.Using the Z-table, we can determine that the positive critical value is approximately equal to 2.967. Hence, Za/2 = 2.967.

Thus, the positive critical value Za/2 = 2.967.

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Answer:

3y

Step-by-step explanation:

All three expressions have the factor 3, and all three have the factor y.  Thus, the GCF is 3y.