2. Factor the expression. (1 point)
x² – 3x+2
(x+2)(x-1)
(x+2)(x+1)
(x-2)(x - 1)
(x-1) (x-3)

Answer:

x = 28

Step-by-step explanation:

1/7(x) = 4

Multiply all sides by 7

x = 4 x 7/1

x = 28/1

x = 28

-Chetan K

Answer:

n = 28

Step-by-step explanation:

Let the unknown be n.

Then the word problem translates into    n(1/7) = 4.

Multiplying both sides by 7 yields n = 28

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

[tex]\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}[/tex]

Then

[tex]Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\[/tex]

Note that since

[tex]F \cap R=\varnothing[/tex], [tex]Perm(F)\cap Perm(R)\ne \varnothing[/tex]

But since

[tex]B \cap R \ne \varnothing[/tex], [tex]Perm(B)\cap Perm(R)= \varnothing[/tex]

and

[tex]B \cap F \ne \varnothing[/tex] , [tex]Perm(B)\cap Perm(F)= \varnothing[/tex]

Since

[tex]|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\[/tex]

where [tex]|Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}[/tex]

and

[tex]|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}[/tex]

What we are looking for is the number of permutations of the 26 letters of the alphabet that do  not contain the strings fish, rat or bird, or

[tex]|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}[/tex]

This link contains another solved problem on permutations:

https://brainly.com/question/7951365

Answer:

35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).

...

Reduce 3/5 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.

3 ÷ 15 ÷ 1.

Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/

Step-by-step explanation:

Answer:

15

Explanation:

The common denominator for 2/3 and 3/5

Answer:

The answer is 15.

LCD = 15

We want to graph the linear function that models how much Maggie saves, the graph can be seen below.

So we know that maggie starts with $30, and she saves another $30 per week, then after x weeks, the total amount that she has saved is:

S(x) = $30 + $30*x

Now we have the function, to graph it, we just need to get two points of the function and then connect them with a line, to get these points, we just evaluate the function in two different values of x:

S(0) = $30 + $30*0 = $30

S(1) = $30 + $30*1 = $60

So we have the points (0, $30), (1, $60).

Now we just need to graph these points and connect them with a line, the graph can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/20853486

Answer:

(0,30) and (1,70)

Step-by-step explanation:

I took the quiz in USATestprep.

Answer:

Step-by-step explanation:

Answer:

5*jjjjjjjjkkkkkkkkkk

Answer:

15

Step-by-step explanation:

jamestown really began in 1606 in may and columbos reached america in 1497

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10

Step-by-step explanation:

the second option.

you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).

the slope is always the factor of x in an equation of

y = ax + b

the only equation provided in the answer options with slope -3 is

-y <= 3x + 4

because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :

y >= -3x - 4

there you have it. no other equation here can be transformed into this.

as a control we also look at the second equation :

-3x + 3y <= -9

3y <= 3x - 9

y <= x - 3

this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.

so, it is all correct.

[tex]\text{Slope,~} \tan \theta  =\dfrac{15}{18}=\dfrac 56[/tex]

Government programs help to protect citizens from possible hazards

exposure.

The government program that encourage hygiene practices is A.

Transportation regulations to prevent overcrowding.

Reasons:

Hygiene practices which include mainly cleanliness measures, meant to

keep a person healthy as well as to prevent contraction of disease.

Government programs such as stipulating social distancing rules reduces

airborne diseases, and other contagious diseases, and such programs are

useful as part of transport regulations.

Therefore, the government program that encourage hygiene practice

transport regulations to prevent overcrowding.

Learn more here:

https://brainly.com/question/10560365

Answer:

I am pretty sure the correct answer is never true

Step-by-step explanation:

This is because when,

Δ JKL ≅ Δ MNP

Then, ∠J ≅ ∠M

∠K ≅ ∠N

∠L ≅ ∠P

so ∠L ≠ ∠N

i hope this is right haha

Answer:

Hope this helps

Step-by-step explanation:

A: Duane makes bowls faster.

B) 18 hours

C) About 19.92 hours

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

Answer:

try y = 3x + -6 it might be wrong tho

Step-by-step explanation:

slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in

Answer:

(-3,16)

Step-by-step explanation:

(-5,12)

f (x) = ( (x+5) (x+5) ) + 12

f (x) = x^2 + 10x + 37

(-2,15)

f (x) = ( (x+2) (x+2) ) + 15

f (x) = x^2 + 4x + 19

Answer:

x < -10

Step-by-step explanation:

First, let x = unknown number. Then create the algebraic equation to solve for x. The equation would be 2x + 7 < -13, so 2x < -20, thus x < -10.

Answer:

If you wanted the in equality equation then your answer is 2n + 7 < -13

If you want the answer to the inequality then its n < -10

Step-by-step explanation:

2n + 7 < -13

     -7     -7

    2n < -20

    /2      /2

     n < -10

Answer:

Option: B is the correct

Step-by-step explanation:

Step-by-step explanation:

We are given two matrices A and B as follows:

\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}

A=[

3

2

0

−1

]

and

\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}

B=[

2

0.6

8

3

]

We know that the multiplication of two matrices of the type:

\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}

A=[

a

c

b

d

]

and

\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}

B=[

a

′

c

′

b

′

d

′

]

is given by:

\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}

AB=[

aa

′

+bc

′

ca

′

+dc

′

ab

′

+bd

′

cb

′

+dd

′

]

Hence, here we have:

\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}

AB=[

3×2+0×0.6

2×2+(−1)×0.6

3×8+0×3

2×8+(−1)×3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}

AB=[

6+0

4−0.6

24+0

16−3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}

AB=[

6

3.4

24

13

]

Answer:

wow. at this point just guess

Step-by-step explanation:

Answer:

95=35

35=95

x=14

y=95

x=14

Step-by-step explanation:

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

Answer:

F = 110°

I'm not sure, but since no one answered, here it goes...

Step-by-step explanation:

∵ FD = FE (Given in Diagram)

∴ ΔDFE is isosceles , ∴m∠E = m∠D

1 ) 3x  +  14  =  5x

   14  =  5x  -  3x

   14  =  2x

   14 / 2  =  x

   7  =  x  

m∠E = 3*7 + 14 = 35°

m∠D = 5*7 = 35°

m∠F = 180 - (35+35)

m∠F = 110°

Answer:

Step-by-step explanation:

Let the number is x.

2/3 of a number is 10:

0.15 times of the number is:

Correct choice is d

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

Please mark brainliest i need 1 more

Step-by-step explanation:

Answer:

8n+2 first let’s plug in n which is 1

8(1)+2=10

The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.

I hope it helps.