Which parent function is represented by the table?
1
0
0.
1
1
4
N
O A. f(x) = [X1
O B. f(x) = x
O c. f(x) = 2x
O D. Ax) = x2

Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )

x = - 3 ± 3[tex]\sqrt{3}[/tex]

x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a

Answer:

a

Step-by-step explanation:

Answer:

7959.83

Step-by-step explanation:

A = P ( 1+r/n)^ nt

Where A is the amount in the account

P is the principal

r is the rate

n is the number of compoundings per year

t is the years

A =3000 ( 1+.10/2)^ 2*10

A =3000 ( 1+.05)^ 20

   =7959.83

Answer:

$66,000

Step-by-step explanation:

if they earn 6,000 every year and  another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.

So the value of X is 3.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = x^2 - 2x

    Let x = 6

f(6) = 6^2 - 2(6)

     = 36 - 12

     = 24

[tex]\text{Plug in 6 to x:}\\\\f(6) = (6)^2-2(6)\\\\\text{Solve:}\\\\f(6) = (6)^2-2(6)\\\\f(6) = 36-2(6)\\\\f(6) = 36-12\\\\\boxed{f(6)=24}[/tex]

Answer:

180 miles

Step-by-step explanation:

The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.

Answer: A

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

(6-10i)(6+10i)

36 +60i - 60i - 100i²

36 - 100i² (i² = -1)

36 + 100

136

Answer: 136

Step-by-step explanation:

First, we need to find the conjugate before we can find the product of the conjugate and 6-10i.

The conjugate is the binomial with an opposite sign.

6+10i

Now that we have our conjugate, we can find the product.

(6-10i)(6+10i)                          [distribute the factors, FOIL method]

36+60i-60i-100i²                   [combine like terms]

36-100i²                                  [i²=-1]

36-100(-1)                               [multiply and subtract]

36+100=136

Our product is 136.

Answer:

Joseph will have 1,108$ in his bank account when he opens it again.

First, we need to know how much 0.3% of 1000$ is, which is 3$.

Next, since there are 12 months in a year we multiply 3$ by 12 which is 36.

Then, since 3 years have passed we multiply 36$ by 3 which is 108$. So in conclusion, he'll have 1,108$ when he checks his account again.

Answer:

$1,113.87

Step-by-step explanation:

The initial value is 1,000, the rate of increase is 1.003, and the number of times it will increase is 36. y=1000 ( 1.003 ) 36 =1,113.87y equals 1000 left parenthesis 1.003 right parenthesis superscript 36 baseline equals 1113.87.

Answer:

b

Step-by-step explanation:

the triangles are all the same so they are congruent. They are also right triangles so they must be a right triangle the only answer that combine this is b

The green, orange and gray triangles are congruent and right triangles. Thus option B is correct.

Two triangles are congruent triangles if they are of same size and shape.

Right triangle is a triangle with one of angle 90°.

The given triangles of green, orange and gray triangles are of same shape and size . Therefore  we can say that they are congruent triangles

Also we can see that they all have right angle on the left corner therefore they are right triangles . If they are right triangles then they will be also acute triangles too as the some of other two angles of each triangle will be 90 it means they both are less than 90 and congruent means they are similar too as similar triangles have same shape.

Therefore the most appropriate option is Option B , that given triangles are congruent right triangles.

Also, Learn more about the congruent triangles from the given below link:

https://brainly.com/question/22062407

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Answer:

Arc BC is 64°

Step-by-step explanation:

The parameters given are;

∠CAB = 32°

We note that the measure of arc BC = ∠CDB

∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)

∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)

∠ACB = ∠DCB + ∠DCA

∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°

∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)

∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)

∠CDB  = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°

∠CDB  = Arc BC = 64°

Answer:

B. $57.00

Step-by-step explanation:

The totals add up to just under $55.00, so an overestimate would be $57.00

Answer:

  B.  One

Step-by-step explanation:

The lines have different slopes, so they must intersect at exactly one point.

There is One solution to this system.

_____

If you solve the first equation for y, you get ...

  y = (5/2)x +2

This has a different slope (x-coefficient) than the second equation does, but it has the same y-intercept. That y-intercept is the point of intersection of the lines, hence the solution: (x, y) = (0, 2).

Answer:

(d) 60 kobo

Step-by-step explanation:

36 divided by 12 = 3

3 x 20 = 60

Hope this helps!

Answer:

3rd,5th,6th

Step-by-step explanation:

complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.

Hope this helps!

Answer:

Step-by-step explanation:

3rd option

x=10

angle ABD + angle DBC = 90

ie 5x + 40= 90

5x=90-40

5x=50

x=10

5th option

both are complementary angles

as  they are sum is 90 degree

hope this helps you and dont forget to make me as the brainliest......

Answer:

z = -12

Step-by-step explanation:

Rewritting the equations, we have:

x + y = xy (eq1)

2x + 2z = xz (eq2)

3y + 3z = yz (eq3)

From the first equation:

x = y/(y-1) (eq4)

From the third equation:

y = 3z/(z - 3) (eq5)

Using the value of y from (eq5) in (eq4), we have:

x = [3z/(z - 3)] / [3z/(z - 3) - 1]

x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]

x = 3z / (2z + 3) (eq6)

Using the value of x from (eq6) in (eq2), we have:

6z / (2z + 3) + 2z = (3z / (2z + 3))*z

(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)

12z + 4z^2 = 3z^2

z^2 = -12z

z = -12

Answer:

1 console and 8 games because

Step-by-step explanation:

one console cost 280 and each game costs 25 so do 500-280=220 so, u have 220 dollars left basically. 220/25=8.8 so 8 games u can buy and the tax will be $20 because 0.8 * 25 = 20 so theres ur tax and u have to answer my question

The maximum number of video games Mrs. Sloane can buy is,

⇒ 8

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Mrs. Sloane has $500 to buy a video game console and some video games for her family.

And, Including tax, the video game console costs $280, and a video game costs $25.

Now, Let the maximum number of video games = x

Hence, We can formulate;

⇒ 25x + 280 ≤ 500

⇒ 25x ≤ 500 - 280

⇒ 25x ≤ 220

⇒ x ≤ 8.8

Hence, The maximum number of video games Mrs. Sloane can buy is,

⇒ 8

Learn more about the inequality visit:

https://brainly.com/question/25944814

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Complete question is this,

Mrs. Sloane has $500 to buy a video game console and some video games for her family. Including tax, the video game console costs $280, and a video game costs $25. Drag and drop three numbers and one inequality symbol to show the inequality that can be used to determine the maximum number of video games, x, Mrs. Sloane can buy?

Answer:

Step-by-step explanation:

The answer will be

2/16 + 5/8 = 3/4

Answer:

15 hours, or B

Step-by-step explanation:

6 men - 10

12 men - 5

4 men - 15

Please mark as brainliest

Answer:

15 hours

Step-by-step explanation:

10/6 ≈ 3.7

4 * 3.7 = 14.8

-round it up-

14.8 ≈ 15

Step-by-step explanation:

73+x=90 (right angled triangle)

x=90-73

x=17

Answer:

it's •3

Step-by-step explanation:

1/100 × 300/1 =3

100 into 300 is 3

then equal to 3/1

any number over one is it self

Answer:

6%

Step-by-step explanation:

you do 2,700/45,000 to get  .06

multiply by a 100 to get the percent

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

Answer:

hope this is correct

The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.

The sum of the sequence can be calculated by the formula

[tex]S_n = n/2(2a +(n-1)d)[/tex]

where a is the first term, d is the common difference

To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...

[tex]S_n = n/2(2a +(n-1)d)[/tex]

here, a = 18

d = 21 - 18 = 3

n = 50

[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]

Thus, the sum of the first 50 terms in the sequence is 4575.

Learn more about sequence ;

https://brainly.com/question/21961097

Answer:

Rajesh applied the wrong formula

Step-by-step explanation:

Rajesh applied the wrong formula for the calculation of the area of a circle

he used [tex]area= \pi d[/tex]

Rajesh is expected to solve for the area of a circle using the right formula, which is

[tex]area= \frac{ \pi d^{2}}{4} \\or\\area= \pi r^{2}[/tex]

substituting our data we have

[tex]area= 3.142*10^{2} \\area= 3.142*100\\area= 314.2[/tex]

Answer:

4. [tex]\frac{13}{23}[/tex]

5. [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

4. The relative frequency is how often it happens divided by the whole number of outcomes.

In this case it would be [tex]\frac{13}{23}[/tex]

5. Find the relative frequency again:

[tex]\frac{12}{28}=\frac{4}{7}[/tex]