What is the answer to the question?

Answer:

Given function:

[tex]q(x)=9x^2-24x+16[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex],  find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]ac=9 \cdot 16=144[/tex]

Two numbers that multiply to 144 and sum to -24 are: -12 and -12

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies q(x)=9x^2-12x-12x+16[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies q(x)=3x(3x-4)-4(3x-4)[/tex]

Factor out the common term [tex](3x-4)[/tex]:

[tex]\implies q(x)=(3x-4)(3x-4)[/tex]

Therefore:

[tex]\implies q(x)=(3x-4)^2[/tex]

The characteristics of a nonisomorphic spanning tree are:

This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.

Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.

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Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

Nearest foot is 19

Answer:

-23

Step-by-step explanation:

f(2)= 2*2-6 = -2

g(-3)= -3-2*9 = -21

---> f(2)+G(-3)= -2-21 = -23

Answer: -23

Step-by-step explanation:

     f(2) + g(-3) means that we will substitute 2 as x into the function f, and add that to -3 substituted as x into function g.

     First, we will find the substituted and simplified values of these functions.

f(x) = 2x - 6

f(2) = 2(2) - 6

f(2) = -2

[tex]-----[/tex]

g(x) = x - 2x²

g(-3) = (-3) - 2(-3)²

g(-3) = -21

     Lastly, we can add them.

f(2) + g(-3)

-2 + -21

-23

The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.

Proportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.

Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.

Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.

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Answer:

5. c = 8pi cm

6. c = 18pi ft

7. c = 8.6pi in

8. c = 11/2pi m

Step-by-step explanation:

The circumference of a circle can be easily found using the formula: c = [tex]\pi[/tex]d, where the diameter is d.

Now you just plug your numbers into the formula!

5. c = pi x d

   c = 8pi cm

6. This one gives you the radius instead of the diameter. All you need to do now is to double the radius to find the diameter.

     9 ft x 2 = 18 ft

   Now, it follows the formula.

   c = pi x d

   c = 18pi ft

7. c = pi x d

   c = 8.6pi in

8. c = pi x d

   c = pi x 2(2 3/4m) - Note that this is a mixed fraction. To be able to multiply it, you need to convert it to an improper fraction.

  c = pi x 2(11/4)

  c = pi x 11/2

  c = 11/2pi m

:)

Answer:

58 cm

Step-by-step explanation:

if both shapes are squares, then the perimeter must be divide by all 4 equal sides

36 / 4 = 9, so each side of the first shape is 9 cm

40 / 4 =10 , so each side of the second shape is 10 cm

by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,

so 9+ 9+ 9= 27, then the three side of the second shape,

so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,

so 27+ 30+ 1= 58 cm

In the given triangle, it should be noted that ADC is the same as BCD due to SAS congruence.

From the information given,

AD = BC

BCD = ADC.

This depicts the concept of SAS. In this case, the two-sided will be equivalent.

Also, it should be noted that DAC and CBD are equal according to the vertical angle theorem.

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Answer:

see picture ....

Step-by-step explanation:

Answer:

x = -2, -2

Step-by-step explanation:

3x² + 14x + 16 = 0

(3x+8) (x+2)

x = -8/3

x = -2

The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.

To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation of the form ax² + bx + c = 0

The solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation 3x² + 14x + 16 = 0,

a = 3, b = 14, and c = 16.

Substituting these values into the quadratic formula, we get:

x = (-14 ± √(14² - 4.3.16)) / (2 × 3)

x = (-14 ± √(196 - 192)) / 6

x = (-14 ± √4) / 6

Now we have two possibilities for x:

x₁ = (-14 + √4) / 6

x₂ = (-14 - √4) / 6

Simplifying each expression:

x₁ = (-14 + 2) / 6

x₁ = -12 / 6

x₁ = -2

x₂ = (-14 - 2) / 6

x₂ = -16 / 6

x₂ = -8 / 3

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Answer:

36 feet

Step-by-step explanation:

1 yard 3 feet

Answer:

45 degree=√2/2

√2/2=12√2

we use criss-cross method

√2x/√ 2=12√2/√ 2

×=24

Step-by-step explanation:

if it confused you this is (/)is dividing

hope I helped

please mark me as brainlyst

Answer:

A = 8 ; B = 6 and C = 4

Step-by-step explanation:

(-2) + A = 6

A = 6 + 2

A = 8

0 + B = 6

B = 6

2 + C = 6

C = 6-2

C = 4

The probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is:

Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table(please refer to the attached picture)

A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?

We have to find the value of P(F or C):

[tex]\rm P( F \ or \ C) = \dfrac{118+6+18+16+2}{118+6+18+16+12+20+2+6+2}[/tex]

[tex]\rm P( F \ or \ C) = \dfrac{160}{200}[/tex]

P(F or C) = 0.80

Thus, the probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.

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The value of y if x is equal to 5 is 75 and the value of y when x = 7 is 8/7

Variations shows the relationship between variables.

4) If y varies directly as x², hence;

y = kx²

27 = 9k
k = 3

In order to determine y if x = 5

y = 3(5*5)
Y = 75

Hence the value of y if x is equal to 5 is 75

5) If y varies inversely as x, hence;

y = k/x
k = xy
k = 16(1/2)

k = 8

If x = 7, the value of y will be;

y = 8/7

Hence the value of y when x = 7 is 8/7

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Answer:

  C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

__

The x-intercept is the value of x that satisfies the equation when y=0.

  -5x +2·0 = 1

  x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

  -5·0 +2y = 1

  y = 1/2 . . . . . . divide by the coefficient of y

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:

  It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)

Answer:

2 1/4

Step-by-step explanation:

[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]

[tex]\text{This gives a total of 20}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{(2n*10)-6=20}[/tex]

Answer:

5,6,8,8,9,18

Step-by-step explanation:

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

Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

Answer:

B. Arm circles

Hope you have a great day :)

Answer:

The value of x should be greater than 3.

Step-by-step explanation:

Given that,

The AB is 12 units.

The AC is 15 units.

We need to find the value of BC.

Based on the above information, the calculation is as follows:

As we know that

The sum of two sides length is always more than the 3rd one.

Based on this,

12 + 15 > x

x < 27

15 + x >12

x >-3

12 + x > 15

x >3

Answer:

The smallest number all three numbers can be divided by is 4.

Step-by-step explanation:

12/4=3

16/4=4

24/4=6

Hope this helps!

If not, I am sorry.

Answer: The perimeter of this triangle is 13.47.

Step-by-step explanation:

First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]

*Note: Keep X and Y consistent in the distance equation.

The distance for CB = 5.831

After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.

[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]

The distance for AB = 3.162

Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).

[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]

The distance for AC =4.472

Then find the perimeter by adding up the three side lengths.

AB + CB + AC = P

[tex]5.831 +3.162+4.472=13.465[/tex]

Finally, round 13.465 to the nearest hundredth, 13.47.

*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.

Answer: B. 3.25 inches

Step-by-step explanation:

two months right next to each other

65.5 = final

62.25 = start

65.5 - 62.25 = 3.25 inches

Answer:

3.25

Step-by-step explanation:

65.5 - 62.25

Answer:

By using the formulas of circle and geometry, we find that ∠CED = 65°.

Step-by-step explanation:

We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite, so

∠CED = 0.5 × (arc AB + arc CD)

See the attached figure with letters to better understand the problem

arc AB = 82° (by central angle)

arc CD = 48° (by central angle)

Substitute the values in the formula above

∠CED = 0.5 × (82° + 48°)

∠CED = 0.5 × 130°

∠CED = 65°

Therefore the answer is ∠CED = 65°

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Answer: −x2+

5

x

=

7

Move

7

to the left side of the equation by subtracting it from both sides.

−

x

2

+

5

x

−

7

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

−

1

,

b

=

5

,

c

=

−

7

Step-by-step explanation:

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

From the question given, we have the following parameters

Base of the building = 7feet

Height of the building = 18 feet

Required

angle of elevation

Using the SOH CAH TOA identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Question:

A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.

Answer:

f(x)^-1=x^2-3

Step-by-step explanation:

So I'm assuming you meant to include the 3 in the radical as well which would make sense given the domain restriction. To find the inverse you simply swap the x and y since the inverse function is when the domain and range are swapped.

[tex]y=-\sqrt{x+3}\\x=-\sqrt{y+3}\\-x=\sqrt{y+3}\\(-x)^2=y+3\\x^2-3=y\\f(x)^{-1}=x^2-3[/tex]