For which value of b can the expression x2 + bx + 18 be factored?

The system of inequality that the graph represents is E. 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to 3

In the graph, when 2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

When 2x + 2y = 3

2y = -2x + 3

y = -x + 3/2

On the graph, -2/3x + 4/3 is illustrated on the first line while -x + 3/2 is illustrated on the second line.

Therefore, the correct option is E.

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Answer:

not determinable

Step-by-step explanation:

you can't determine--think of it like this: let's say I figure out a combination of two lengths that work, I could always scale it up (or down)

Let's say AB = 4, and BC = 9, then the area would be 36

but let's say AB = 8, and BC = 18, then the area would be 144

so, from this information alone, we cannot find the answer

hope this helps! have a lovely day :)

The area of the given parallelogram is that: It cannot be determined from the information given

The formula for the area of a parallelogram is:

Area = Base * Height

Now, we are told that the ratio of AB to BC is 4:9.

The most important point here is that we do not know the altitude of the parallelogram; the area of a parallelogram is altitude times base.

A secondary point would be that we do not know the lengths of AB and BC; we only know the ratio of the two sides.

The actual lengths of the sides could be, for example, 8 and 18

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Complete question is:

If the ratio of AB to BC is 4:9, what is the area of Parallelogram ABCD attached?​

The possible functions for f and g are f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

An exponential function is a mathematical function of the following form: f ( x ) = [tex]p^{x}[/tex] where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.

Analysis:

If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.

Therefore f(x) = [tex]3^{x}[/tex] and g(x) = [tex](\frac{1}{3} )^{x}[/tex]

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Answer: [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

To find the expression equal to the given, we will simplify the original.

   Given:

[tex]\displaystyle 2\sqrt{28} -5\sqrt{63}[/tex]

   Simplify:

[tex]-11\sqrt{7}[/tex]

           Answer:  [tex]-11\sqrt{7}[/tex]

Answer:  [tex]-11\sqrt{7}[/tex]

Step-by-step explanation:

[tex]2\sqrt{28}-5\sqrt{63}[/tex]

= [tex]2\sqrt{4*7}-5\sqrt{7*9}[/tex]

= [tex]2*\sqrt{4}*\sqrt{7} - 5*\sqrt{7} *\sqrt{9}[/tex]

= [tex]2*2*\sqrt{7} - 5*\sqrt{7}*3[/tex]

= [tex]4\sqrt{7} - 15\sqrt{7}[/tex]

= [tex]-11\sqrt{7}[/tex]

The actual decile value is 126.6

To get the actual decile value, the decile formula is used. The formula used is:

Di = I (n+1) / 10 multiplied by (n - n+1)/10

This implies that the decreased fee, which in this case is 32 + 1, is delivered to the entire multiplication of the cut point 10.4, and the difference among the more tremendous value whilst organized in the ascending fee and the newly brought decreased value.

This gives:

33 + 10.4 * (42 - 33)

= 126.6

The actual decile value is 126.6

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The value of y is 116 degrees

To solve for y, we make use of the following angle theorem.

The angle at the center is twice the angle at the circumference.

So, we have:

y = 2 * 58

Evaluate the product

y = 116

Hence, the value of y is 116 degrees

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Answer:

D is the right answer.

Hope it helps!

Answer: x=-8

Step-by-step explanation:

Step-by-step explanation:

There are 6! = 720 ways of arranging the lamps.

If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.

Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.

Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.

Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So

P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4

Answer:

A

Step-by-step explanation:

given 2 secants drawn from an external point to the circle , then

the product of the measures of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is

9(9 + 2 + 3x) = 10(10 + 2x + 2)

9(11 + 3x) = 10(12 + 2x) ← distribute parenthesis on both sides

99 + 27x = 120 + 20x ( subtract 20x from both sides )

99 + 7x = 120 ( subtract 99 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Answer:

(A). 3

Step-by-step explanation:

[ 9 + ( 2 + 3x )] × 9 = [ 10 + ( 2x + 2 )] × 10

27x + 99 = 20x + 120

7x = 21

x = 3

Answer:

Each pipe is 24m

Step-by-step explanation:

Given:

Algebraic Expression:

3 pipes times length equals 72m (the total length)

3x = 72, we want x to be alone so divided both sides by 3

3x / 3 = 72 / 3

x = 24

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Based on the terms given on the population type and the variables, the correct matches are:

The population is total set of items that a sample is drawn from and in this case it all the restaurants. The sample would be the selected items from the population.

The control group is the group that is not manipulated by the explanatory variable which is the organic cleaner. The response variable is what changes as a result of the explanatory variable so it is bacterial growth.

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Answer:

75%

Step-by-step explanation:

[tex]\frac{108 }{144} = 0.75[/tex]

0.75 * 100 = 75%

Answer:

5

Step-by-step explanation:

a number and its additive inverse sum to zero , then

the additive inverse is the opposite of the number

the opposite of - 5 is + 5

and - 5 + 5 = 0

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

The solution set of a compound inequality is the set of values that intersect between the two inequalities and they satisfy the solution to each individual inequality.

The graph of a compound inequality can be illustrated on the number line.

From the given information, we have:

[tex]\mathbf{-\dfrac{1}{3}x+10 \geq 7}[/tex]---- (1)

x - 10 ≥ 7      ----- (2)

From equation (1), the solution to the inequality is:

The solution to the second inequality is:

The solution set of the compound inequality is  (-∞, 9] ∪ [17, ∞) and the correct graphical representation on the number line can be seen in the first option.

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Answer:

Thus, a golden retriever should be given 19 teaspoon of medicine.

Step-by-step explanation:

Step 1 of 3

Write the data in mathematical form and simplify.

Let x=the number of teaspoon

If 1  teaspoon medicine is 5  pounds then 85  pounds is how many teaspoon of medicine.

Translate the statement into proportion.

[tex]\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}[/tex]

Step 2 of 3

Multiply both sides by x and simplify

[tex]$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})[/tex]

5x=85

Divide by 5,

[tex]x=\frac{85}{5}[/tex]

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19  in original proportion and simplify.

[tex]$$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True[/tex]

Answer:Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

−

28+3i

Step-by-step explanation:

The equation of the line will be y = -3.9, and the height after rounding off will be -4.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The horizontal line can be defined as:

y = a

Where a is the constant.

Here a = -3.9

y = -3.9

The height = -3.9 ≈ -4

Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.

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7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

18

9

25

17

23

=

92

then divide by 4

23

then divide by 3

which is 7 remainder of 2

which is

7x+2

The equation for the line passing through point A and perpendicular to AB will be y-0.5x=6, the gradient of line AB is -2, and the gradient of a line perpendicular to AB is 0.5.

A numerical assessment of a line's angle relative to the ground is known as the slope.

Given data;

m₁ is the slope of line AB

m₂ is the slope of a line perpendicular to AB

The coordinate points are,

A,(x₁,y₁)= (0, 6)

B,(x₂,y₂)=(3, 0).

The gradient of line AB;

[tex]\rm m_{{1} }= \frac{y_2-y_1}{x_2-x_1} \\\\ \rm m_{{1} }= \frac{0-6}{3-0} \\\\ m_{{1} }=-2[/tex]

The slope of the lines has a perpendicular relation is -1;

m₁ × m₂ = -1

(-2) × m₂ = -1

m₂ = 1/2

m₂ = 0.5

The equation of the line passing through point A and perpendicular to AB;

(y - y₁) = m₂(x-x₁)

(y-6)=0.5(x-0)

y-6 = 0.5 x

y-0.5x=6

Hence, the gradient of line AB, the gradient of a line perpendicular to AB, and the equation of the line passing through point A and perpendicular to AB will be -2,0.5 and y-0.5x=6.

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Answer:

y = (1/4)x + 2

Step-by-step explanation:

y - 4 = 1/4 (x-8)

y - 4 = 1/4(x) - 2

y = (1/4)x + 2

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

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No

Let the groups be x and 2x

Its decimal not natual so can't be divided

Answer:

(x+5)(x+1)(2x+3) cubic feet

Step-by-step explanation:

Answer:

1,338,750$

Step-by-step explanation:

1990 price was 850,000

in 2000

850,000 + 125% = 1,062,500

850,000 + 1,062,500 = 1,912,500

in 2013

1,912,500 - 30% = 573,750

1,912,500 - 573,750 = 1,338,750

Answer:

Step-by-step explanation

5+5

Answer:

40.9

Step-by-step explanation:

Law Of Cosines:

   [tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}[/tex]

   This can generally be understand as the cosine(angle) = the sum of squares of the two other sides - the opposite side squares divided by 2 times the other two sides

   If this is to confusing to understand I'll just provide the formula for the other two angles which is essentially the same thing just different variables

   [tex]cos(B)=\frac{a^2+c^2-b^2}{2ac}\\\\cos(C)=\frac{a^2+b^2-c^2}{2ab}[/tex]

Anyways for the law of cosines we need all three sides, but since we're given the two other sides, we can also rearrange the equation to solve for the other missing side.

Original Equation

[tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}\\[/tex]

Multiply both sides by 2bc

[tex]cos(A)*2bc=b^2+c^2-a^2[/tex]

Add a^2 to both sides

[tex]cos(A)*2bc+a^2=b^2+c^2[/tex]

Subtract 2bc * cosA from both sides

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

So this can be applied for any side, and it can be generally seen as: side ^2 = sum of squares of other two sides - 2 times the other two sides * cos(opposite angle of the original side). If that's to confusing you can also just look at the other formulas which are essentially the same just different variables

[tex]b^2=a^2+c^2-2ac * cos(B)\\c^2=a^2+b^2-2ab*cos(C)[/tex]

anyways, applying this formula we get the equation:

[tex]a^2=20^2+30^2-2(20)(30)*cos(60)[/tex]

Square and multiply values you get

[tex]a^2=400+900-1200*cos(60)[/tex]

Now add the values and you can calculator cos(60) using a calculator or using the unit circle, both should give the same value

[tex]a^2=1300-1200(0.5)[/tex]

Multiply

[tex]a^2=1300-600[/tex]

Simplify

[tex]a^2=700[/tex]

Take the square root of both sides

[tex]a\approx 26.4575[/tex]

So now use this to solve for B using the original law of cosines equation. Plugging in all the sides you get the equation:

[tex]cos(B)=\frac{26.4575^2+30^2-20^2}{2(26.4575)(30)}[/tex]

Square values and simplify denominator

[tex]cos(B)=\frac{700+900-400}{1,587.451}[/tex]

Simplify numerator

[tex]cos(B)=\frac{1200}{1,587.451}[/tex]

Convert to decimal

[tex]cos(B)\approx 0.755[/tex]

Take the inverse cosine of both sides

[tex]B \approx cos^{-1}(0.755)[/tex]

Approximate this using a calculator

[tex]B\approx 40.8934[/tex]

Round to the nearest tenth

[tex]B\approx40.9[/tex]

Answer:

x = 100 degrees

Step-by-step explanation:

Angle AEG is vertical to angle BEF. Vertical angles are congruent angles. The measure of angle BEF is 100 degrees (80 + 20 = 100), so angle AEG is 100 degrees which makes the measure of x 100 degrees.