What are the zeros of the quadratic function f(x)=6x^2+12x-7

What Are The Zeros Of The Quadratic Function F(x)=6x^2+12x-7

Answers

Answer 1

Answer:

[tex]A) \ x=-1 \ ^ +_-\frac{\sqrt{13} }{\sqrt{6}}.[/tex]

Step-by-step explanation:

if to solve the given equation, then

D=6²+42=78;

[tex]\left[\begin{array}{ccc}x=\frac{-6-\sqrt{78}}{6} \\x=\frac{-6+\sqrt{78}}{6} \end{array} \ = > \ \left[\begin{array}{ccc}x=-1-\sqrt{\frac{13}{6} } \\x=-1+\sqrt{\frac{13}{6} } \end{array}[/tex]

What Are The Zeros Of The Quadratic Function F(x)=6x^2+12x-7

Related Questions

Can anyone help me???

Answers

Answer:

principal (p)=$1300

Interest (I) =$28.67

Time( T) = 1 year

R=?

we have,

R = I*100/T*R

What is the base area of Box 3? x2 + x

edge

Answers

The expression of base area of box will be 4x + x²

The area of a a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. Basically, the area formula is the product of the rectangle's length and width.

Given,

Length = 4+x

width = x

height = x²+1

We have to find the expression of base area of box

Given the length, width, and height

The formula for area of rectangle is as follow:

Area of rectangle = length x width

Area of rectangle = (4+x) x (x)

Area of rectangle = 4x + x²

Hence the expression of base area of box will be 4x + x²

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curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a radius of 3 cm and a slant height
of 7 cm.
Work out the total surface area of the cone.
Give your answer in terms of π.
7 cm
3 cm

Answers

The total surface area of the cone is 3π + 10 cm².

What is the curved surface area?

A cone is a three-dimensional object that consists of a circular base and a vertex.

Total surface area = πr (r + l)

Where:

r = radius l = slant heightπ = pi

π x 3 + (3 + 7)

3π + 10 cm²

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The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

Answers

Step-by-step explanation:

let's write this properly :

f(x) = x³

g(x) = (x - 7)³ + 9

this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).

so, the original (0, 0) point corresponds to (7, 9).

Please solve this equation, I don't understand...

show all work!

Answers

Answer:

x = - 5/2

Step-by-step explanation:

Using the law of indices

. a^-n = 1/a^n

. (a^4)^5 = a^5×4 = a^20

Note : When two base are equal , we equate the Exponents.

3^4x-5 = (1/27)^2x+10

= 3^4x-5 = (27^-1)^2x+10

= 3^4x-5 = (3^-3)^2x+10

= 3^4x-5 = 3^ -3(2x+10)

= 3^4x-5 = 3^ -6x-30

The two base are 3 so we equate the exponents.

= 4x - 5 = -6x - 30

= 4x + 6x = -30+5

= 10x = -25

= 10x/10 = -25/10

x = -25/10

x = - 5/2

X is -5/2

Find the solution for x in the equation below.
x² + 72x = 8

Answers

[tex]x^2+72x=8\\x^2+72x+1296=1304\\(x+36)^2=1304\\x+36=\sqrt{1304} \vee x+36=-\sqrt{1304} \\x=-36+2\sqrt{326} \vee x=-36-2\sqrt{326}[/tex]

Help needed! Thank you!

Answers

Part 1

[tex](f\circ g)(x)=f(g(x))=\frac{\frac{1}{x}}{\frac{1}{x}-3}[/tex]

Multiplying the numerator and denominator by x,

[tex](f\circ g)(x)=\boxed{\frac{1}{1-3x}}[/tex]

Part 2

The domain for this function is all values of x except for when the denominator equals 0 (because then, it would be undefined).

The denominator is equal to 0 when x=1/3, so the domain is [tex]\boxed{x \neq \frac{1}{3}}[/tex]

Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 18.

Answers

As per the question each row must have 6 seats more than the row before it. And there are 11 seats in the first row.

So, the first row has 11 seats

2nd row has 11+6 seats

3rd row has 11+2*6=11+12=23

4th row has 11+3*6=11+18=29

and so on...

We know that the difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. Arithmetic progression can be calculated as

aₙ = a₁ + (n - 1)d,

where aₙ is the nth and a₁ is the first term of this progression respectively and d is the common difference between terms.

So, we can observe the trend and develop the equation for the problem.

There are 11+(n-1)*6 seats in the n-th row.

So, there is 11+(18-1)*6=11+17*6=113 seats in the 18th row.

Therefore, there are 113 seats in the 18th row.

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What is the proper ordering (from least to greatest) of the
following numbers?
1.0.32
2.0.32%
3.3.2%
4. 3299

Answers

Answer:

.0032 .032 .32 3299

Step-by-step explanation:

0.32% =.0032

3.2% = .032

.32

3299

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

Answers

Answer:

The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 180°

Step-by-step explanation:

supplementary angles :

The meaning of supplementary is related to angles that make a straight angle together. It means, two angles are said to be supplementary angles when they add up to 180 degrees. Two angles that are supplementary to each other, do not have to be next to each other. Two angles are supplementary, if

One of its angles is an acute angle and another angle is an obtuse angle.Both of the angles are right angles.

This means that ∠p + ∠q = 180°.

From the given figure, we can see that:

∠DEA + ∠AEB = 180°

x+25+9x+10 = 180°

10x + 35 = 180°

10x = 180° - 35°

10x = 145°

x = 145/10

x = 14.5°

Get  ∠DEA

∠DEA = x + 25

∠DEA = 14.5 +25

∠DEA = 39.5°

Get ∠AEB:

∠AEB = 9x+10

∠AEB = 9(14.5) + 10

∠AEB = 130.5 + 10

∠AEB = 140.5 °

Hence the value of x,  ∠DEA, and ∠AEB are 14.5°, 39.5°, and 140.5°

so, The numerical sum of the degree measures of ∠DEA and ∠AEB is

= 39.5 + 140.5

= 180° (answer)

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Which of the following rational functions is graphed below?

Answers

Answer:

ANSWER IS B

Step-by-step explanation:

NEXT TIME USE any graph website online

what type of expression is 3+7-1/2

Answers

Numerical Expression

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

find the common denominator and thin combine the numerators over the common denominator trhin simplify each term thin simplify by adding subtracing  thin the result can be shown in multiple forms

exact form 19/2

decimal form 9.5

mixed number form 9 1/2

convert the proof to the paragraph format

Answers

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.

Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD

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This whole page i need help on

Answers

Step-by-step explanation:

1. True

2. False

3. True

5. Falsw

6.True

7.True

8.False

10.True

15. always

17. always

PLSSS! Fast! I will give 5 stars! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

Answers

Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

What are opposite values?

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

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Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the
distributive property to show equivalent expressions for the number of bags of soll he bought?
49 + 28 = 4(7 + 7)
59 + 28 - (7)(7) + (14)(2))
19 + 28 - (7)(14) + (7)(7)
49 + 28 - 7(7+ 4)

Answers

Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

Questions in the picture!

Can I have the answer to2 decimal place

__.__cm2

Answers

Answer:

16П or approximately 50.3)

Step-by-step explanation:

The area of a circle is equal to П*r²

Since the circle is inside a rectangle with side that is equal to 8, we know that d = 8

2r = d

r = 8/2

r = 4

A = П*r²

A = П*16

А = 16П ( or 16*3.141592653589793238... = 50.26548... ≈ 50.3)

Answer:

area = 50.27 [tex]cm^2[/tex]

Step-by-step explanation:

In the diagram, we see that the diameter of the circle is 8cm. Therefore the radius of the circle is 8/2 = 4cm.

[tex]area \hspace{0.15cm}of \hspace{0.15cm}circle = $\pi$r^2[/tex]

                        = π [tex](4)^2[/tex]

                        = 50.27 [tex]cm^2[/tex]

For the function f(x)=|x−7|−4, evaluate f(x+1).

Answers

Answer:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

Step-by-step explanation:

To evaluate [tex]\displaystyle{f(x+1)}[/tex], substitute [tex]\displaystyle{x}[/tex] to [tex]\displaystyle{x+1}[/tex] so we should have:

[tex]\displaystyle{f(x+1) = |x+1-7|-4}[/tex]

Evaluate the expression and finally, we have:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

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https://brainly.com/question/27923727 - How to find inverse and value of function

need help please don't know the answer ​

Answers

The answer should be c

Find DG.
DE
2x+17
EF
8
FG
2
x + 20

Answers

The value of DG is 4x + 45

Determine the length of a line segment

From the question, we are to determine the value of DG

From the given information,

DE = 2x + 17

EF = 8

FG = 2x + 20

Then,

DG = DE + EF + FG

DG = 2x + 17 + 8 + 2x + 20

DG = 4x + 45

Hence, the value of DG is 4x + 45

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Sergio is learning about the six different skill-related components of fitness. What are these skill-related components? How does each component enhance performance levels?

Answers

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

What are these skill-related components?

While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.

Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.

Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.

Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.

Therefore, balance is the skill mainly required in gymnastics.

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find value o x 235 degree arc

Answers

The length of the arc given in the question is; 4.1r

How to find the length of an arc?

We are given;

Angle at which arc is subtended; θ = 235°

Formula for arc length subtended at an angle θ is;

Arc Length = (θ/360) * 2πr

where r is radius of circle.

Thus;

Arc Length = (235/360)  * 2πr

Arc Length = 4.1r

The complete question is;

Find the value of the length of an arc that subtends an angle of 235 degrees to the circle's center.

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What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7)2+11?

Enter your answer as the correct equation, like this: x = 42

Answers

Answer:

I think its x = 7

I belive it is

Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table:

Answers

The Maximax decision is that Susan should build a very large gas station due to the largest value of row maximums.

What is a decision table?

A decision table can be defined as a type of table that is used for the graphical representation of the actions to perform, especially based on given conditions and business level rules.

The decision table for Susan’s problem is shown below:

Size            Good market   Fair market   Poor market    Row maximum

Small              50,000           20,000            -10,000           50,000

Medium          80,000           30,000            -20,000          80,000

Large              100,000          30,000            -40,000          100,000

Very large      300,000         25,000            -160,000         300,000

Thus, the Maximax decision is for Susan to build a very large gas station due to the largest value of row maximums.

For the Maximin decision, we have:

Size            Good market   Fair market   Poor market    Row minimum

Small              50,000           20,000            -10,000           -10,000

Medium          80,000           30,000            -20,000          -20,000

Large              100,000          30,000            -40,000          -40,000

Very large      300,000         25,000            -160,000         -160,000

Therefore, the Maximin decision is that Susan should build a small gas station due to the largest value of row minimums.

For the equally likely decision, we would find the row average:

Row 1 = (50,000 + 20,000 - 10,000)/3 = 20,000.

Row 2 = (80,000 + 30,000 - 20,000)/3 = 30,000.

Row 3 = (100,000 + 30,000 - 40,000)/3 = 30,000.

Row 4 = (300,000 + 25,000 - 160,000)/3 = 55,000.

Hence, the equally likely decision is that Susan should build a very large gas station due to the largest value of row average.

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Complete Question:

Even though independent gasoline stations have been having a difficult time, Susan has been thinking about starting her own independent gasoline station. Susan’s problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline.  After a careful analysis, Susan developed the following table:

a. Develop a decision table for this problem

b. What is the maximax decision?

c. What is the maximin decision?

d. What is the equally likely decision?

HELLPP

Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.
sum of the integers?

Answers

Detailed Answer:

Let ‘n’ be the middle term of three consecutive even integers. Therefore, (n) is also an even number. Hence, the even number preceding it will be (n - 2) and the even number after it will be (n + 2), since we need consecutive even integers.

Hence, we have (n - 2), (n), (n + 2).

Sum of the Integers :-
= (n - 2) + (n) + (n + 2)
= n - 2 + n + n + 2
= n + n + n + 2 - 2
= n + n + n
=> 3n

PLEASE HELP! SHOW WORK AND/OR EXPLANATION PLEASE.
Find ‘x’ that will make the following statements true.

1. Sin (35) = Cos (x)
2. Cos (79) = Sin (x)
3. Cos (x) = Sin (2x)
4. Sin (x + 4) = Cos (4x – 9)

Answers

Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If his total yearly interest from both
accounts was $1,970, find the amount invested at each rate.
The amount invested at 7% is $
The amount invested at 2% is $

Answers

The amount invested at each rate

Investment at 7% = $25000

Investment at 2%  = $11,000

What is investment?

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

0.05x = 1970-720

0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

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PLEASEE I BEG YOU!!!!!!

Answers

The last choice from the option list is the solution

The heights of the starting players on each of two basketball teams are shown in the table below.
Team A
Team B
Heights of Starters on Team A and Team B
70 in.
71 in.
72 in.
73 in.
75 in.
71 in.
68 in.
72 in.
70 in.
73 in.

Answers

Answer:

whats the question? please explain

Are both 7 and -½ integers? why or why not?​

Answers

Answer:

No. (-1/2) is not an integer

Integers involve all the no. +ve and -ve. which can be written without fraction. ie whole no. are counted as integers.

(-1/2) is a fraction

no because integers are whole number and fraction that equal a decimal aren’t
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