What element in the domain has image 7 in the function f(x) = x²– 2?

a. 3 b) 9 c) -1 d) 4

Answers

Answer 1

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

A. 3 is the right answer.

Related Questions

x ^ 2 − 17x − 60

Which expression is equivalent to the expression above?

(Please explain in simple terms cause, it's usually hard for me to understand)

Answers

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW

Answers

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

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

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

The product of 2 more than 5 times a number and 4 less than three times a number

Answers

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

---------------------

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?

Answers

My answer is in the picture

What is the sum of -14
and -15?

Answers

-14 + (-15) = -14 - 15 = -29
Hope it helps !!! Brainliest if it is!!

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

PLssssssss helppppppppppppppppppppppp

Answers

Answer:

6 ft

Step-by-step explanation:

PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help

Answers

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44


The shaded rectangle, which is the correct expression of its perimeter

Answers

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

Is the product of a rational number and an irrational number always irrational?

Answers

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

Find all points on the x-axis that are 14 units from the point (5, -7)

Answers

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

7-15
Dividing decimals

Answers

Answer:

7-15= -8

Step-by-step explanation:

7-15= -8
so therefore the other person is correct

what is
[tex] \frac{28}{141} [/tex]
as a percentage​

Answers

The answer to the question is 17.02

Answer:

19,86%

Step-by-step explanation:

[tex] \frac{28}{141} = 0.198582[/tex]

➡️ [tex]0.1986[/tex]

➡️ [tex]0.1986 \times \frac{100}{100} [/tex]

➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]

➡️ [tex] \frac{19.86}{100} [/tex]

➡️ [tex] = 19.86\%[/tex] ✅

In the Cartesian coordinate system, the x-akis is horizontal.

A.True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

In the Cartesian coordinate system, the x-axis is the horizontal line while y-axis is the parallel line.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

i’ll give brainliest pls
i need to finish this quickly, i need part a b and c

Answers

B 54

C 70

I got it right

3 3/5 divided by 1/6?

Answers

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

3) What type of correlation would temperature
and ice cubes have?

Answers

temperature causes ice cubes to melt, or stay in the same state- temperature can impact state of matter in water, making ice cubes at 0 degrees Celsius

Which answer shows three ways to write 2/3 as a ratio?

Answers

Answer:

2/3 can be wrtten in three ways

Step-by-step explanation:

1: 6/9

2. 4/6

3.20/30

4. In a class of 35 students, 20 offer Physics,
18 offer Chemistry and 2 offer neither
Physics nor Chemistry
1) Illustrate the information on a Venn
diagram
il) How many students offer all the two
subjects?
1) How many students offer Physics!
1) How many students offer only one
subject

Answers

5 students offers all the two subjects.

Student that offers Physic only = 15 students

Student that offers chemistry only  = 13 students

Students that offers only one subject = 28 students

How to solve a Venn diagram?

Total student in the class = 35

20 offer physics.

18 offer chemistry

2 offer neither physics nor chemistry.

Therefore,

x = student that offer both subject

35 = 20 + 18 - x + 2

35 - 2 - 20 - 18 = -x

-5 = -x

x = 5

Therefore, 5 students offers all the two subjects.

Student that offers Physic only = 20 - 5 = 15

Student that offers chemistry only = 18 - 5 = 13

Students that offers only one subject = 13 + 15 = 28

learn more on Venn diagram here: https://brainly.com/question/27808502

#SPJ1

PLS HELPP
6 times what =9??

Answers

Answer:

4 • 8 = 32

6 • 1.5 = 9

Step-by-step explanation:

6 times what = 9

6x = 9

x = 9/6

x = 1.5

6 times 1.5 = 9

[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]


The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool

Answers

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

A.
180°
B.
270°
C.
360°
D.
540°

Answers

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.

How much interest has been earned?

Answers

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

write 1000 as a product using 10 as a factor

Answers

Answer:

-

Step-by-step explanation:

Answer:

The answer is right here for you!

Here it is:10x100

Is that the right answer..?

Answers

9514 1404 393

Answer:

  the correct answer is 47

Step-by-step explanation:

You are correct down to the part where you're adding the numbers.

  50 -10 +7 = 40 +7 = 47

__

The sign of the 7 is positive. The minus sign only applies to 10.

_____

Additional comment

Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...

  (50 +7) -(10) = 57 -10 = 47

PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.

x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5

If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5

Answers

The answer is 4! So c

Using function concepts, it is found that the degree of the function is: 4, option C.

----------------------------------------

The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.

----------------------------------------

When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.

A similar problem is given at https://brainly.com/question/10539060

hi can someone help me with this problem!!

Answers

Answer:

f(x) | 5 | - 1 | - 3 | - 1 | 5 |

Step-by-step explanation:

So first you'll say "-2" into function

Replace x with negative 2

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

8 - 3 = 5

Secondly place "- 1" into function

Replace x with negative 1

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

2 - 3 = - 1

Thirdly place "0" into function

Replace x with 0

f(x) = 2(0)^2-3

0 - 3 = - 3

Then place "1" into function

Replace x with 1

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

2 - 3 = - 1

Lastly place "2" into function

Replace x with 2

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

8 - 3 = 5

{ hope this helps}

Which statement compares the two numbers correctly?

0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do

Answers

Answer:

the statements are missing can you post them please

Answer:

C. 0.799 < 0.8

Step-by-step explanation:

0.799 ________ 0.8

Choices:

0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799

Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.

We know 799 < 800, so apply the same here to get:

0.799 < 0.8

Correct choice is C

Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Answers

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+8[/tex]

I hope this helps!

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