At a certain company, the monthly salary of project managers can be modeled by the function f(x)= x^4 -10x^2+10,000 where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary?

Answer: The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

Step-by-step explanation:

If all the corresponding sides and angles of two triangles are congruent then, the two triangles are said to be congruent..

If the corresponding angles of two triangles are congruent and their corresponding sides are proportional then triangles are similar (not congruent).

Complete statement: The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

Answer:

The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

Answer:

[tex] \boxed{8 \: visitor }[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: vistors \: be : n\\ then \to \\ \frac{2}{n} = \frac{1}{4} \\ \boxed{ n = 8}. \\ therefore \: she \: served \: 2 \: pizza \: to \\ \boxed{8 \: visitor }\: (her \: friends).[/tex]

♨Rage♨

The question is an illustration of fraction division.

8 visitors shared the pizza

Given

[tex]Pizza = 2[/tex]

[tex]k = \frac 14[/tex] --- the amount each visitor was given

The number of visitors (n) is calculated using:

[tex]n =\frac{Pizza}{k}[/tex]

So, we have:

[tex]n =\frac{2}{1/4}[/tex]

[tex]n = 8[/tex]

Hence, there are 8 visitors

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Answer:

Step-by-step explanation:

[tex](8,-1) = (x_1,y_1)\\\\m = -\frac{3}{2}[/tex]

Substitute values into point-slope form

[tex]y-y_1=m(x-x_1)\\\\y -(-1)=-\frac{3}{2} (x -8)\\\\y+1 = -\frac{3}{2}x+12\\\\y = -\frac{3}{2}x +12-1\\\\y =-\frac{3}{2}x +11[/tex]

The equation of line passes through the point (8, -1) will be;

⇒ y = - 3/2x + 11

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (8, - 1).

And, The slope of the line is,

⇒ m = - 3/2

Now,

Since, The equation of line passes through the point (8, -1).

And, Slope of the line is,

⇒ m = - 3/2

Thus, The equation of line with slope - 3/2 is,

⇒ y - (-1) = - 3/2 (x - 8)

⇒ y + 1 = - 3/2 (x - 8)

⇒ y + 1 = - 3/2x + 12

⇒ y = - 3/2x + 12 - 1

⇒ y = - 3/2x + 11

Therefore, The equation of line passes through the point (8, -1) with slope - 3/2 is,

⇒ y = - 3/2x + 11

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Answer:

Connor's

Step-by-step explanation:

According to the slope formula, it is (y2 - y1)/(x2 - x1)

Connor uses the y-values first and put them on the numerator, and that is what you are meant to do, unlike, April. She puts the x-values on top and the y-values on the bottom.

Answer:

If im not wrong it should be -20609077.125000000002128

Step-by-step explanation:

if im wrong im sorry (-///////-)

Answer:

it has a volume of one cubic unit

Step-by-step explanation:

volume of cube = b*w*h , but they're all 1

Answer:

4a+4

Step-by-step explanation:

12a+8-8a-4

4a+4

Answer:

4(a+1)

Step-by-step explanation:

Need to expand first

= 12a + 8 - 8a - 4

Group like terms

= 12a - 8a + 8 - 4

Solve

= 4a + 4

Can factorize

= 4(a + 1)

Answer:

Step-by-step explanation:

All of these equations only require a single operation before you get x alone. for example: x - 2 = 6 Compared with 2x = 6

For the first one, you have to add two and get x = 8. for the second one,  Then you divide by 2 and get x = 3. they're both a single step, as the name "one-step" equations tells you, and you only have to divide, multiply, add, or subtract one value.

Answer:

f. 0.375

Step-by-step explanation:

Answer:

F. 0.375 :)

Step-by-step explanation:

Answer:

most fuel efficient is Jean's car....it gets 30 miles per gallon

Step-by-step explanation:

Jean's car :

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 =

30 miles per gallon

Miranda's car :

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

Answer:

6

Step-by-step explanation:

first, we multiply the 8(x - 2)

8 times x = 8x

8 times - 2 = -16

8x - 16 - 4 = 28

-16 - 4 = -20

8x -20 = 28

add 20 to both sides

48

8x = 48

divide

6

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.(Can you give me brainliest?)

Answer:

proved

Step-by-step explanation:

n/6 -3=10

n/6=10+3

n/6=13

n=13x6

n=78

I hope this is the answer you're looking for

Answer: y=2x-8

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1. Plug the points in. You get 2 which is the m/slope. Then you plug that into y=Mx+b and then find the y isn’t with y=Mx+b and you get -8. Plug it all in and you get y= 2x-8

Answer:

y=2x-8

Step-by-step explanation:

6-0/7-4

6/3

x=2

4(-2)

y=-8

Answer:

2

Step-by-step explanation:

4x + 2 =4 => 4x = 2 => x = 0,5

if x =0,5 => 2x + 1 = 0,5.2 + 1 = 2

The values of "2x+1" will be "2".

The expression,

→ [tex]4x+2=4[/tex]

By subtracting "2" from both sides, we get

→ [tex]4x+2-2=4-2[/tex]

→             [tex]4x=2[/tex]

→               [tex]x = \frac{2}{4}[/tex]

→               [tex]x = 0.5[/tex]

By putting the value of "x" in the expression "2x+1", we get

→ [tex]2x+1 = 2(0.5)+1[/tex]

→            [tex]= 1+1[/tex]

→            [tex]= 2[/tex]    

Thus the above answer is right.

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Answer: A) -2m^3-m^2+4m+2

Answer:

Following are the solution to this question:

Step-by-step explanation:

For incentive A

The car value = 57000

Calculating debt[tex]= 57000 - 10000[/tex]

                            [tex]= 47000[/tex]

Calculating the debt value after incentive [tex]= 47000 - 5000[/tex]

                                                                    [tex]= 42000[/tex]

[tex]PMT = \frac{P(\frac{r}{n})}{(1 - (1 + (\frac{r}{n}))^(-nt))}[/tex]

         [tex]= \frac{42000 \times (\frac{6.06 \%}{12})}{(1-(1+(\frac{6.06 \%}{12}))^{(-12 \times 4)})}[/tex]

         [tex]= \frac{42000 \times (0.00505)}{(1-(1+(0.00505))^{(-48)})}\\\\= \frac{212.1}{(1-(1+(0.00505))^{(-48)})}\\\\=\frac{212.1}{-1.74}\\\\= - 121.89 \ \ or \ \ 121.89[/tex]

For incentive  B

The car value = 57000

Calculating the debt value [tex]= 57000 - 10000[/tex]

                                            [tex]= 47000[/tex]

Calculating the monthly payment =[tex]\frac{47000}{(12*4)}[/tex]

                                                        [tex]= \frac{47000}{(48)}\\\\= \frac{47000}{(48)}\\\\=979.166[/tex]

difference:

[tex]=121.89 - 979.166\\\\ = - 854.276[/tex]

Answer:

x = 1/2

Step-by-step explanation:

6x-3= 0       (add 3 to both sides)

    +3   +3

6x=3            (divide by 6 to isolate x)

/6   /6

3/6= 1/2       (simplify)

x=1/2

Answer:

Step-by-step explanation:

"A rectangular room measures 3.8 meters in length and 4.9 meters in width. Jana multiplies both numbers together. Which expression would be best for her to use to check the reasonableness of her decimal multiplication?"

given that

the length is 3.8m long and,

width is 4.9m wide

The expression for the area is

Area= length * width

Area= 3.8*4.9

Area= 18.62 m^2

Therefore the expression best for her to use to check the reasonableness of her decimal multiplication is the area which is  18.62 m^2

Answer:

bc you dont got nun right there but the question so i think 4 times 4 but

Step-by-step explanation:

Answer:

True

In a chemical change, the molecules in the reactants interact to form new substances. In a physical change, like a state change or dissolving, no new substance is formed. Explain that another way to say that no atoms are created or destroyed in a chemical reaction is to say, “Mass is conserved.”

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Jackie will have 13 and Joanne would have 10 left

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Calculater

Answer:

2 2/5

Step-by-step explanation:

Given:

The amount of money y club members made for washing x cars is

[tex]y=5x[/tex]

To find:

The constant Proportionality.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]        ...(i)

where, k  is constant of proportionality.

The amount of money y club members made is proportional to number of  cars washing x.

We have,

[tex]y=5x[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]k=5[/tex]

Therefore, the constant proportionality  is 5.

Answer:

b

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

[tex]180 - 120 = 60[/tex]

[tex]180 - 60 - 50 =70[/tex]

Answer:

x = 11

Step-by-step explanation:

4 ⋅ 11 + 4 = 48

angle A = 48°

angle B = 48°

Hi! 368.5468432 is IRRATIONAL. I hope this helps you! Good luck and have a great day/night. ❤️✨

Answer:

rational

Step-by-step explanation:

368.5468432

[tex]=\frac{3685468432}{10000000} \\=\frac{921467108}{2500000}\\ =\frac{230366777}{625000} \\[/tex]

which is of the form p/q,where p and q are integers.