Factor 3x+11y if the expression cannot be factored

Answer:

[tex]10\sqrt{6}[/tex] feet by [tex]\frac{20}{3}\sqrt{6}[/tex] ft

Step-by-step explanation:

If the length is [tex]l[/tex], then the width is [tex]\frac{2}{3}l[/tex].

Using the formula for the area of a rectangle,

[tex]l \cdot \frac{2}{3}l=400 \\ \\ \frac{2}{3}l^2=400 \\ \\ l^2=600 \\ \\ l=10\sqrt{6}[ \\ \\ \implies w=\frac{20}{3}\sqrt{6}[/tex]

Answer:

40/9

Step-by-step explanation:

The matrix AB = [tex]\left[\begin{array}{ccc}-2&16&11\\7&46&-3\\11&26&-9\end{array}\right][/tex]

Given,

In the question:

The matrix is given as:

A = [tex]\left[\begin{array}{ccc}-4&-3&5\\-5&-4&-2\\-1&-2&-4\end{array}\right][/tex]   & B = [tex]\left[\begin{array}{ccc}3&-4&-1\\-5&-5&1\\-1&-3&2\end{array}\right][/tex]

To find the AB :

Now, According to the question:

AB =  [tex]\left[\begin{array}{ccc}-4&-3&5\\-5&-4&-2\\-1&-2&-4\end{array}\right][/tex]  [tex]\left[\begin{array}{ccc}3&-4&-1\\-5&-5&1\\-1&-3&2\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-2&16&11\\7&46&-3\\11&26&-9\end{array}\right][/tex]

The basic Addition and Multiplication:

= -4 x 3 + (-3)x (-5) + 5 x (-1) = -12 +15 -5 = -2

= (-4) x (-4) + (-3)x (-5) + 5x (-3) = 16 + 15 -15 = 16

=(-4)x (-1) + (-3) x 1 + 5x 2 = 4 - 3 +10 = 11

= (-5) x 3 +(-4) x(-5) + (-2) x (-1) = -15 + 20 +2 = 7

= (-5) x(-4) + (-4)x (-5) + (-2) x (-3) = 20 + 20 + 6 = 46

= (-5) x (-1) + (-4) x 1 + (-2) x 2 = 5 - 4 - 4 = -3

= (-1) x 3 + (-2) x (-5) + (-4) x(-1) = -3 + 10 +4 =  11

=(-1) x(-4)+ (-2)x (-5) + (-4) x (-3) = 4 + 10 + 12 = 26

= (-1) x(-1) + (-2) x 1 + (-4) x 2 = 1 - 2 +(-8) = -9

Hence, The matrix AB = [tex]\left[\begin{array}{ccc}-2&16&11\\7&46&-3\\11&26&-9\end{array}\right][/tex]

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Answer:

Slope = -3/4, y-intercept = -4

Step-by-step explanation:

[tex]6x+8y=-32 \\ \\ 3x+4y=-16 \\ \\ 4y=-3x-16 \\ \\ y=-\frac{3}{4}x-4[/tex]

So, the slope is -3/4 and the y-intercept is -4.

The percent represented by the shaded area as in the task content is; 40%.

It follows from the task content that the percent of the whole that is shaded as in the task content be determined.

By observation, the whole is partitioned into 5 parts with 2 parts shaded.

Consequently, when expressed as a fraction; the shaded region is; 2 / 5 of the whole.

Ultimately, when expressed as a percentage, the shaded region is;

( 2 / 5 ) × 100% = 0.4 × 100%

= 40%.

Ultimately, the percent of the whole that is shaded is; 40%.

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The average rate of change of the function f(x) on the interval −9≤x≤1 is of:

r = -0.2.

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given by the equation presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Over the interval −9≤x≤1, the bounds of the interval are given as follows:

a = -9, b = 1.

From the graph shown by the image presented at the end of the answer, the numeric value of the function at each of these bounds is given as follows:

Hence the average rate of change of the function on the interval is calculated as follows:

r = (1 - 3)/(1 - (-9)) = -2/10 = -0.2.

The graph is shown by the image at the end of the answer.

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Answer:

-30

Step-by-step explanation:

the order of multiplication doesn't matter

a*b*c = 5*-2*3 = -30

Answer:(-7, infinite down)

Step-by-step explanation: -7,-8,-9...

g(x) is a vertical dilation of f(x), then the x-value of the vertex does not change, using that we will see that the vertex of g(x) is (-4, 24)

We know that there is a parabola graphed called f(x), such that the vertex of f(x) is at (-4, 6).

We also have a vertical dilation of this function defined as:

g(x) = 4*f(x)

Notice that because this is a vertical dilation, the x-value of the vertex does not change, then the vertex is at x = -4, like on f(x).

Evaluating there we get:

g(-4) = 4*f(-4)

And because the vertex of f(x)  is (-4, 6), then we know that:

f(-4) =6

Replacing that we get:

g(-4) = 4*f(-4) = 4*6 = 24

Then the vertex of g(x) is at (-4, 24)

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Answer:

Tan a =1

Step-by-step explanation:

TRIG identity:

Tan ( a+b) =  (tan a + tan b )/ (1 - tan a  tan b)     Sub in the given values

      -2       = ( tan a + 3) / ( 1 - 3 tan a)

-2 + 6 tan a = tan a + 3

5 tan a = 5

  tan a = 1

Answer:

[tex]250\pi[/tex] cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.

1. The hypothesis are given as follows:

2. The critical value is of: t = 2.3974.

3. The test statistic is of: t = 2.35.

4. The decision is: Reject the null hypothesis.

5. The conclusion is: There is enough evidence to conclude that the mean is greater.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean in Los Angeles is greater, that is:

[tex]H_0: \mu \leq 178258[/tex]

At the alternative hypothesis, it is tested if there is enough evidence, hence:

[tex]H_1: \mu > 178258[/tex]

The t-distribution is used, as we have the standard deviation for the sample but not for the population. Using a t-distribution calculator, with 55 - 1 = 54 df, a right-tailed test, as we are testing if the mean is greater than a value and a significance level of 0.01, the critical value is:

t = 2.3974.

Hence the decision rule is defined as follows:

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]\overline{x} = 191790, \mu = 178258, s = 42627, n = 55[/tex]

Hence the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{191790 - 178258}{\frac{42627}{\sqrt{55}}}[/tex]

t = 2.35.

The test statistic is greater than the critical value, hence:

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Answer:

-x^5+2x³-x²-1x-1

Step-by-step explanation:

First order the terms based on highest degree or exponent.

-x^5+2x³-x²-3x¹+2x-1

Next combine like terms.

-3x¹ is simply -3x so -3x+2x = -1x

-x^5+2x³-x²-1x-1

Answer:

Step-by-step explanation:

they are expecting you to know a few things.

first,  that ∠x   is asking for the interior angle of the labeled angle, here they call it  1 , so find that angle and look at the inside of the triangle,  it's also referred to as the minor angle.

second, they are expecting you to know how many degrees it is around the interior or a triangle... do you know?

then , just take that number and subtract the two given numbers to find the final number ,  or the  ∠1

got it?

Step-by-step explanation:

a polynomial of degree n (that means the highest exponent of x is n) must have n zeroes.

in our case that means 3 zeroes.

the best way to find them is to have the factorial form of the polynomial : to see how several terms are multiplied to give us the polynomial.

the first f(x) gives us exactly that (the second f(x) is just the form with all the multiplications done) :

f(x) = x(x + 6)(x - 2)

when is the product of factors 0 ?

only when at least one factor is 0.

so, let's see,

when is x 0 ? well, x = 0.

when is (x + 6) = 0 ? x = -6.

when is (x - 2) = 0 ? x = 2.

so, the 3 zeroes are

x = -6

x = 0

x = 2

The statement that are correct from the graph is:

Some input values are negative.

some output values are negative.

Some input values are integers.

Some output values are integers.

From the graph:

The x value is -2,-4 that is negative.

so the some inputs are negative.

Y has values -2 ,-4 which are negative.

So the some outputs are negative.

The point values from the graph is -4,-2,0,2,4 which belong to integers.

So some input values and output values are integers.

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The chicken breast being brought at store B is more expensive than store A as it costs $5.01 more per pound.

Given,

Violet was comparing the price of chicken breast at two stores.

The equation which represents the total cost, in dollars and cents, y, that it costs for x pounds of the chicken breast at Super grocery B is:

y = 11.38x

whereas at store A the chicken breast of 3 pounds costs $19.11.

we are asked to determine how expensive is it per pound to buy chicken breast at store B than store A.

⇒ at store B the total cost is:

y = 11.38x

check the total cost of 3 pounds of chicken breast at store B:

⇒ y = 11.38(3)

since x represents the number of pounds.

⇒ y = $34.14

at store the chicken breast of 3 pounds costs $19.11

⇒ cost difference at both stores for simillar quantity:

⇒ 34.14 - 19.11

= 15.03

The cost of chicken per pound = 15.03/3

= $5.01

Hence the chicken breast at store B is $5.01 more expensive per pound than the chicken breast at store A.

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Based on the perimeter of this isosceles triangle, the possible x-coordinate for point L is either -16.85 or 10.85.

In Mathematics, the perimeter of an isosceles triangle can be determined by summing up all of its side lengths that encloses. Mathematically, the perimeter of isosceles triangle JKL is given by this mathematical expression:

Perimeter, P = JK + JL+ KL

36 = JK + JL+ KL

Next, we would determine the distance between each vertices by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance JK = √[(-3 - (-3))² + (-9 - 7)²]

Distance JK = √0 + 256

Distance JK = √256

Distance JK = 16

Distance JL = √[(-9 - (-1))² + (-3 - x)²]

Distance JL = √8² + (-3 - x)²

Distance JL = √64 + (-3 - x)²

Distance KL = √[(7 - (-1))² + (-3 - x)²]

Distance KL = √8² + (-3 - x)²

Distance KL = √64 + (-3 - x)²

Note: Side JK is equal to side KL as an isosceles triangle.

From the perimeter of this isosceles triangle, we have:

36 = JK + JL+ KL

36 = 16 + JL+ JL

2JL = 20

JL = 10 units.

Now, we can determine the possible x-coordinate for point L:

256 = 64 + (-3 - x)²

256 - 64 = (-3 - x)²

192 = (-3 - x)²

13.85 = -3 - x

x = -3 ± 13.85

x = (-3 -  13.85) or (-3 + 13.85)

x = -16.85 or 10.85

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The solution of the trigonometry function is  2√3/3.

What is the trigonometric function?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given trigonometric function is

sec^(-1) x = csc^(-1) 2

Assume that,

csc^(-1) 2 = z

→ 2 = csc z

→ 1/2 =1/ (csc z)

→ 1/2 =sin z

The trigonometry identity is [tex]\cos x =\sqrt{1-\sin^2x}[/tex].

[tex]\sqrt{1-(\frac{1}{2})^2 } =\cos z[/tex]

→ cos z = √3/2

→ sec z = 2/√3

→ sec z = 2√3/(√3×√3)

→ sec z = 2√3/3

→  z =sec^(-1) ( 2√3/3) = csc^(-1) 2

Putting csc^(-1) 2 = sec^(-1) ( 2√3/3):

sec^(-1) x = sec^(-1) ( 2√3/3)

→ x = 2√3/3

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Answer: there are 4 ways the committee can be formed

Step-by-step explanation:

A 270° counterclockwise rotation about the origin is the different one

Rotation simply means turning

In order to answer this question, you need to know some rules about rotation. They are as follows:

1. If a point P, whose position vector is (x,y), is rotated 90° counterclockwise rotation about the origin, the position of the image P' is (-y, x)

2. If a point P, whose position vector is (x,y), is rotated  270° clockwise rotation about the origin, the position of the image P' is (-y, x). This is the same number 1

3. A 90° leftward rotation about the origin is the same as a 90° counterclockwise rotation about the origin. This is the same with number 1

4.  If a point P, whose position vector is (x,y), is rotated  270° counterclockwise rotation about the origin, the position of the image P' is (y, -x). This is different from the other three.

From the graph: A(1, 2), B(2, 4), C(4, 2)

Answer for the different question: A'(2, -1), B'(4, -2), C'(2, -4)

Answer for the same three question: A'(-2, 1), B'(-4, 2), C'(-2, 4)

Therefore, a 270° counterclockwise rotation about the origin is the different one. The 4th option is the answer

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Answer:

The answer would be the first one because when you factor -3 out, inside of the parentheses should be all positive because negative times negative is positive.

The value of g, for a  30-sided regular polygon has an angle measure represented as 6g° is calculated to be 28

The problem is solved using the formula for number of angles for n sided polygon

The formula is (n - 2)180

where n = number of sides

for 30-sided polygon the angles is solved as below

= (n - 2)180

= ( 30 - 2 ) * 180

= 28 * 180

= 5040

this is represented as 6g

each angle is measured 5040 / 30 = 168

6g = 168

g = 28

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Answer: 28

Step-by-step explanation: 168 is the whole polygon, so 6 times 28 is 168 therefore its correct, btw i also did the test

The percentage of pediatricians that work more than 70 h per week is; 2.275%

The formula for z-score of a normal distribution is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

sample mean; x' = 70 hours

population mean; μ = 40 hours

standard deviation; σ = 15 hours

Thus;

z = (70 - 40)/15

z = 2

From online p-value from z-score calculator, we have;

p-value =  0.02275 = 2.275%

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8 pants wil cost 192 u.m.

10 pants ----> 240u.m

8 pants  ----> x

In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:

x= (8 x 240) / 10

x= 192

Check the attached image to get a better understanding of this process.

8 pants wil cost 192 u.m.

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Proportional quantities are divided into directly and inversely proportional.

Two magnitudes are said to be directly proportional

when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.

Problem :

If 10 pants cost 240u.m, how much will 8 pants cost?

We have:

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.

Therefore we will have:

[tex]\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }[/tex]

So the 8 pants cost 192.

Answer: 1 3\5

explanation :  since the denominator of both fractions are same we can go ahead and the numerators which will make the fraction 16\10 or 8/5 (simplified) and  to make this a mixed numeral 5 fits into 8 once with 3 leftover thus making 1 3/5.

hope this helps .

Answer:

[ D ] 140

Step-by-step explanation

4 x 265 = 1060

1060 - 1200 = -140

the answer is 140  i hope this helped <3