PLEASE HELP!!

Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125

Answer:

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

Step-by-step explanation:

Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y

Step 1: Group the polynomial function

(8x²y−10xy²)+(12x−15y)

Step 2: Factor the common value and variables from the functions in parentheses.

= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))

= 2xy(4x-5y)+3(4x-5y)

Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.

(2xy+3)(4x-5y)

The final expression gives the factor form of the polynomial.

Hence the statement for each blank that correctly completes Lana's work are;

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

Answer:

Step-by-step explanation:

Given,

y = 4

Now, let's evaluate:

[tex]2y - 10 + 8y[/tex]

Plug the values

[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]

Multiply the numbers

[tex] = 8 - 10 + 32[/tex]

Calculate the sum of positive numbers

[tex] = 40 - 10[/tex]

Subtract the numbers

[tex] = 30[/tex]

Hope this helps...

Best regards!!

Answer:

30

Step-by-step explanation:

To solve your question we must first replace y with the given number. In this case, the number given is 4 so,

2 (4) - 10 + 8 (4)

We can now solve by multiplying 2 by 4 and 8 by 4

2 * 4 = 8

8 * 4 = 32

8 - 10 + 32 = 30

Hope this helps!!

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5

Answer:

The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.

Step-by-step explanation:

In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.

Answer: 10

Step-by-step explanation:

20/2=10

pairs of two

Answer:

10 pair

Step-by-step explanation:

20/2=10

10 pairs of students staying after school for extra credit

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

14 I think

Step-by-step explanation:

Tell me if I'm wrong

Answer:

14

mark me brainy plz!

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The domain of a relation are simply its x-values, while the range of a relation are its y-values.

1)

We have the relation:

{(-7,2), (-2,2), (0,1), (4,5)}

Again, the domain of this relation are the x-values. Therefore, the domain is:

{-7, -2, 0, 4}

The range of this relation are the y-values. Therefore, the range is:

{2, 1, 5}

Note that even though the 2 repeats, we only count it once because it's the same.

2)

We have the relation:

{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}

The domain are the x-values. Therefore, the domain is:

{-4, -3, -1, 1}

Again, the -3 repeats so we only count it once.

And the range would be the y-values:

{-3, -1, 4}

It's customary to place them in ascending order.  

Answer:

If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain

Step-by-step explanation:

domains are -7,-2,0,4

range are 2,1,5

I hope this is helpful for you

Answer:

Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.

Step-by-step explanation:

The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.

The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

Answer:

8110

Step-by-step explanation:

80+80+50+50=260

3.14(50)²=7810

7810+260=8110

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

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]

As you can see, we get the same result and note how 1320/6 is also present as well.

The greatest number of different 3-person teams that can be chosen is 220.

We can use combinations for this case,

The Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Consider the set {A,B,C}.

3*2*1 = 6 ways to arrange this set of letters.

When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.

We can use the combination formula with n = 12 and r = 3.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]

1320/6 = 220

Thus, the greatest number of different 3-person teams that can be chosen is 220.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

Answer:

f(-2) = -6

Step-by-step explanation:

f(x) = 5x + 4

Let x=-2

f(-2) = 5*-2 +4

      = -10+4

      = -6

Answer:

[tex]\boxed{f(-2) = -6}[/tex]

Step-by-step explanation:

[tex]f(x) = 5x-4[/tex]

Put x = -2

[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

brainly.com/question/22221295

#SPJ6

Answer:

Option c.

Step-by-step explanation:

From the given table, it is clear that

[tex]P(2)=\dfrac{1}{36}[/tex]

[tex]P(6)=\dfrac{5}{36}[/tex]

[tex]P(7)=\dfrac{6}{36}[/tex]

The increasing rate of probability between a sum of 2 and a sum of 6 is

[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]

[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]

The increasing rate of probability between a sum of 6 and a sum of 7 is

[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]

[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]

Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.

Hence, the correct option is c.

Answer:

c)the probability increases at the same rate over both intervals

Step-by-step explanation:

it was right on khan academy

Answer:

A. (-2,-4)

Step-by-step explanation:

If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)

You can stop here because only A has the x value as -2.

If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.

Answer:

x=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

6.5      (6.5+6.5)

------ = -----------------------

5              x

6.5      (13)

------ = -----------------------

5              x

Using cross products

6.5x = 65

Divide by 6.5

6.5x/6.5 = 65/6.5

x = 10

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and [tex]acr(GI)=128^{\circ}[/tex]. So,

[tex]\angle GOI=128^{\circ}[/tex]

[tex]\angle GOI+\angle GOH=180^{\circ}[/tex]          (linear pair)

[tex]128^{\circ}+\angle GOH=180^{\circ}[/tex]

[tex]\angle GOH=180^{\circ}-128^{\circ}[/tex]

[tex]\angle GOH=52^{\circ}[/tex]

Using central angle theorem of a circle, we get

[tex]\angle HIG=\dfrac{\angle GOH}{2}[/tex]

[tex]\angle HIG=\dfrac{52^{\circ}}{2}[/tex]

[tex]\angle HIG=26^{\circ}[/tex]

Therefore, the measure of angle HIG is 26 degrees.

I hope this helped! Good luck with the rest of your class :)

Answer:

Negative when multiplying

and

Negative when dividing

Step-by-step explanation:

Answer:

I hope these help

[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]

Answer: 12

Step-by-step explanation:

Order requirement:

Size ; flavor and topping

Available variety:

Size = 2

Flavor = 1

Toppings = 6

Number of different ice-cream desserts which can be ordered :

Since one of each of size, topping and flavor must be selected :

(Number of available flavors * number of Toppings available * number of sizes available)

1 * 6 different Toppings = 6 varieties

6 varieties * 2 different sizes = 12 varieties

Therefore, there are 12 different variety of ice-cream dessert she can order.

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

convert it into the equation 5=k/4

so 5x4 is 20

k=20

then x=20/y

and y is 7

so the answer is 20/7

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

Answer:

- 7x

Step-by-step explanation:

Given

(x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) - 4(x - 3) ← distribute both parenthesis

= x² - 3x - 4x +  12 ← collect like terms

= x² - 7x + 12

with middle term = - 7x

Answer:

Step-by-step explanation:

= x(x-3) - 4(x-3)

= x²-3x - 4x + 12

= x² -7x +12

So -7x is the middle term