6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency? ​

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

The values of x and y are 50 and 35 respectively.

The corresponding angles of similar triangles are equal. Therefore,

The first patio angles are:

x + 10

y + 15

70°

The second patio angles are ;

x + 20

50°

60°

Therefore,

x + 20 = 70

x = 70 - 20

x = 50

y + 15 = 50

y = 50 - 15

y = 35

Answer:

280

Step-by-step explanation:

first, find the area of the triangle

formula: 1/2 (base × height)

so the area of the triangle is

= 1/2 (16×5)

= 1/2 (80)

= 40

then, find the area of the rectangle

formula: length × breadth

the area of the rectangle is

= 15 × 16

= 240

the area of the composite figure is the sum of the areas of the triangle and rectangle

= 40 + 240

= 280

Answer:

Option D is correct.

Step-by-step explanation:

We can tell that

Now, let's simplify.

=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]

=> [tex]4x + 2 + 2x-2 = 180[/tex]

=> [tex]4x + 2x = 180[/tex]

=> [tex]6x = 180[/tex]

=> [tex]x = 30[/tex]

Therefore, Option D is correct.

Hoped this helped.

Let S = Sum after 13 years

     So = amount invested

     t = time in years

     i = annual interest rate = .0325

The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

Step-by-step explanation:

(cubic root (x²))⁶ = (x^2/3)⁶ = x^2×6/3 = x^12/3 = x⁴

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

Answer: the 4 quart is a better buy

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me

Adding this so you can give the other person a brainlyist

Answer:

$2.50

Step-by-step explanation:

1h + 2w = 9

3h + 4w = 22

Multiply the first expression x 3

3h + 6w = 27

Subtract the 2 equations

3h + 6w = 27

3h + 4w = 22

2w = 5, w = 2.5

Answer:

39

Step-by-step explanation:

detailed explanation showed in the diagram above

Answer:

true

false

true

true

Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.

Answer:

20 ft

Step-by-step explanation:

It is 20 ft because you use pathagoren therom.

a^2 + b^2 = c^2

Answer:

The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.

Area of rectangle: 8 x 7 = 56ft^2

Area of the triangle: (6 x 2)/2 = 6ft^2

Subtract 6ft^2 from 56ft^2 and you get:

56 - 6 = 50ft^2

Area of shaded region is 50ft^2

Answer:  -164

Step-by-step explanation:

Answer:-164

Step-by-step explanation:

−2(−8)

2

+2(−8)−20

Plug into each x-value

−

2

(

64

)

+

2

(

−

8

)

−

20

−2(64)+2(−8)−20

Square first

−

128

−

16

−

20

−128−16−20

Multiply

f

(

−

8

)

=

−

164

f(−8)=−164

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

Answer:

62 and 64

Explanation:

As easy as counting,

62, 63, 64

Answer: X=9

Step-by-step explanation:

Answer:

f(x) = x-9 {9 < x}

f(x) = 0 {x = 9}

f(x) = -x - 9 {x < -9}

Step-by-step explanation:

I'm not too sure what transformation you want. However,,,

f(x)=|x-9| can be changed to function

f(x) = x-9 {9 < x}

f(x) = 0 {x = 9}

f(x) = -x - 9 {x < -9}

without absolute value.

First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²

b² = 32² - 28²

b² = 1024 - 784

b² = 240

b = 15.49

Hope this helps!

Answer

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

Answer:

Let m represent the number of minutes.

Amount of water in Karla's tank:  100 + 5m

Amount of water in Jake's tank:  50 + 10m

Same amount of water:  100 + 5m  =  50 + 10 m

--->                                         100  =  50 + 5m

--->                                            50  =  5m

--->                                            10 = m

In ten minutes, Karla's tank will have 100 + 5(10)  =  100 + 50  =  150 gallons.

In ten minutes, Jake's tank will have 50 + 10(10)  =  50 + 100  =  150 gallons.

Step-by-step explanation:

hope this helped!

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

Answer:

asa is the correct answer

The postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Two triangles are said to be congruent when they have congruent corresponding parts.

Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,

∠ S ≅ ∠ P [given]

∠ SEA ≅ ∠ PEN [vertically opposite angles]

SE ≅ EP [given]

∴ Δ SEA ≅ Δ PEN by ASA rule

ASA rule :-

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Learn more about congruent triangles click;

https://brainly.com/question/22062407

#SPJ7

Answer:

10

Step-by-step explanation:

all sides of square are the same

Answer:

23 & 13

Step-by-step explanation:

23+13=36

Answer:

x = 23

y = 13

Step-by-step explanation:

Let the number be x and y.

As given,

x + y = 36 ---(i)

x - y = 10 ---(ii)

Adding eq(i) and eq(ii) we get,

2x = 46

x = 23

Now putting the value of x in eq(ii)

23 - y = 10

y = 13

So the two numbers are 23 and 13.

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 3/10 + 21/100 equals 51/100 as a fraction.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

0.51000 which as smaller is 0.51

Step-by-step explanation:

simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100

Answer:

3 packages

Step-by-step explanation:

To find how many packages you can buy for $9, you have to divide 9 by 3.

Since each package costs $3.

So, 9/3 = 3

So you can buy 3 packages of blueberries.

Answer:

3 Packages

Step-by-step explanation:

1 package costs $3

2 packages cost $6 (because 3+3=6)

3 packages cost $9- And we have exactly $9 so we can buy 3 packages.