3. Gracie graphed the line 3x – 4y = -16. Which
ordered pair is in the solution set of 3x – 4y = -16?
19
A.(-2,3)
C. (2,7)
B.(-8,0)
D. (0,-1)

Answer:

Las dimensiones del rectángulo son:

lado corto: 5 cm

lado largo: 8 cm

Step-by-step explanation:

Consideraciones:

El perímetro de un rectángulo se calcula así:

p = 2(lado corto + lado largo)

El área de un rectángulo se calcula así:

a = lado largo * lado largo

Planteamiento:

26 = 2(a+b)

40 = a*b

a = lado largo

b = lado corto

Desarrollo:

de la primer ecuación del planteamiento:

26/2 = a+b

13 = a+b

13-a = b

sustituyendo este último valor en la segunda formula del planteamiento:

40 = a(13-a)

40 = 13*a + a*-a

40 = 13a - a²

-a² + 13a - 40 = 0

a = {-13±√((13²)-(4*-1*-40))} / (2*-1)

a = {-13±√(169-160)} / -2

a = {-13±√9} / -2

a = {-13±3} / -2

a₁ = {-13-3} / -2 = -16 / -2 = 8

a₂ = {-13+3{ / -2 = -10 / -2 = 5

Answer:

C

Step-by-step explanation:

it makes sense yah?

Answer:

C) Three fourths of the fish he caught were less than 50.5 pounds

The binomial theorem says

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n[/tex]

where

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

[tex]\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}[/tex]

[tex]\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b[/tex]

[tex]\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2[/tex]

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

[tex]\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5[/tex]

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2[/tex]

[tex]\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2[/tex]

[tex]\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}[/tex]

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

sorry ..i dont know the answer for this question

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

Answer:

Here is what I think the answer is.

n+2n+8 = 5n-10

3n+8 = 5n-10

    -8         -8

3n = 5n-18

-5n  -5n

-2n = -18

----      -----

-2         -2

n = 9

Step-by-step explanation:

It would be 8 + 2 = 10 - 5n I think.

Friend, the answer is: x= 21/11, y=17/11

Answer:

10 Weeks

Step-by-step explanation:

If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260.....  260x10=1200 So he would have to work 10 weeks at a minimum.

The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.

The unitary method is used to find the value of a single unit from a given multiple.

For example, the price of 40 pens is Rs. 400

It should be noted that the concept of ratio and proportion is used for problems related to this method.

According to questions,

He makes $300 per week

and spends $40 each week on his expenses.

Therefore his total savings per week = $300 -  $40

                                                              =  $260.

Also he wants to save a total of at least $2,600.

Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260

                       = 10 weeks.

Hence the required number of weeks = 10 weeks.

To learn more on unitary method click :

https://brainly.com/question/19423643

#SPJ5

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Answer:

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

Step-by-step explanation:

Sum of interior angles of triangle is [tex]180^0[/tex]

The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]

Hence the angles can be [tex]6x,9x,10x[/tex]

We have

[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

The name which is given to the setting in the option profile which  automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:

Based on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.

As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.

Therefore, the correct answer is Vulnerability Detection

Read more about vulnerabilities here:

https://brainly.com/question/18088367

Answer:

33:50

Step-by-step explanation:

if there are 50 donuts that gives you 1 part of your answer. Then you have 33 donuts frosted there the other part. Glad I can help

28+29 = 57

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

Explanation:

n = first number

n+1 = second number

Add up those two items and set the result equal to 57. Solve for n.

first+second = 57

(n) + (n+1) = 57

2n+1 = 57

2n = 57-1

2n = 56

n = 56/2

n = 28

n+1 = 28+1 = 29

The two consecutive whole numbers are 28 and 29

28+29 = 57

Answer:

28 and 29

Step-by-step explanation:

Given values:

1st number = n

2nd number = n+1

n + n + 1 = 57

2n + 1 = 57

2n = 56

n = 28

n+1 = 29

Answer: 28 and 29

Answer:

The equation would be x ÷ 4 ≤ 5

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

If you want to learn more about acceleration, you can read:

https://brainly.com/question/16710160

Answer: I would need a picture of the possible graphs.

Answer:

8 potatoes for $2.56 is the better deal.

Step-by-step explanation:

unit price formula; cost ÷ quantity

2.56 ÷ 8 = $0.32

4.32 ÷ 10 = 0.432

round to the nearest hundredth

= $0.43

compare the answers

Answe 42.2

Step-by-step explanation:

The other vender because he got 42.2 dollar other got 20.48

Answer:

The answer will be 144

Step-by-step explanation:

So first you going to do is solve 3^2 and that will give you 9.

Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.

Answer:

144

Step-by-step explanation:

To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.

The first applicable step of PEMDAS is exponents. So, do 3^2.

Next, multiply 12 x 9

Finally, add the last terms

So, the final answer is 144.

Answer:

(16+25)×47

Step-by-step explanation:

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