Solve the inequality.

7x − 9 > 2x + 6
A) x > 3
B) x > 3/5
C) x > −3
D) x > −3/5

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F

Answer:

E & F

Step-by-step explanation:

i got it right on Apeckxsss

Answer:

St. Louis, Missouri, United States.

Step-by-step explanation:

it is the world's tallest arch, the tallest man-made monument in the Western Hemisphere

Answer:

It is given that image of any point (x,y) is (-x,y).

It is the case of reflection of a point through Y - axis.

So , Image of point (x,y) is (-x,y).

it's pre-image will be Point A whose coordinate is (x,y).

Answer:  Preimage of A' is A (x,y).

Step-by-step explanation:

Suppose we have given a point A' (-x,y) and let [tex]r_y[/tex] be the rotation transformation with center of rotation at origin(0,0) such that

[tex]r_y (x,y) =(-x,y) \\[/tex]  

Now in rotation transformation of any point about y axis i.e.( [tex]r_y[/tex]) it produces the reflected image by changing the polarity of x abscissa only and not of y. Therefore, by applying rotation transformation about y axis on image A'(-x,y) gives the pre-image of (-x,y) = (x,y) [which is the reflection of A'].

For example :- let P (1,2) be any point then after rotation transformation about y axis it will become P'(-1,2).

38,576 people live in Carmel.

A vegetable-oil recovery plant has already recycled 1,400 litters out of 2,500 liters of used oil.

Initially plant has 2,500 liters of used oil.

plant has already recycled 1,400 liters

so liters of oil left = 2500 - 1400 = 1,100

So 1,100 liters of oil left

plants can recycle 24 liters of used oil per hour

So for 1,100 liters we divide by 24 to find the number of hours

[tex]\frac{1100}{24}= 45.83[/tex]

Its approximately 46 hours

Approximately 46 hours it will take to recycle 1,100 liters.

113-47 = 66 female sheep

66-47 = 19

19 more female sheep than male sheep

The total number of sheep the farmer has is 113 sheep. Since 47 of them are males and you are solving for the number of female sheep, you can subtract 47 sheep from 113 sheep.

113 - 47 = 66

We have figured out that there are 113 total sheep, 47 male sheep, and 66 female sheep. The question is asking for how many more female sheep are there than male sheep, so subtract the number of male sheep from the number of female sheep.

female sheep - male sheep = answer

66 - 47 = 19

There are 19 more female sheep than there are male sheep.

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).

So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

slope = [tex]\frac{1}{2}[/tex]

the equation of a line in \ slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

2x + y = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope-intercept form

with m = - 2

given a line with slope m then the slope ([tex]m_{2}[/tex])   of a line perpendicular to it is

[tex]m_{2}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

-7/6*x-6=-48

X will equal -36.

Given

43 - 3d= d + 9

Solution

Add 3d to both sides of the equal sign

43 = d + 3d + 9

43 = 4d + 9             Subtract 9 from both sides

43 - 9 = 4d              Collect like terms on the left

34 = 4d                    Divide by 4 on both sides.

34/4 = 4d/4  

8 2/4 = d

d = 8 2/4 = 8 1/2 = 8.5

Check

LHS

43 - 3 * 8.5

43 - 25.5

17.5

RHS

d + 9

8.5 + 9

17.5

and the problem checks.

C is the answer

[tex]43-3d=d+9\qquad|\text{subtract 43 from both sides}\\\\-3d=d-34\qquad|\text{subtract d from both sides}\\\\-4d=-34\qquad|\text{divide both sides by (-4)}\\\\d=\dfrac{-34}{-4}\\\\d=\dfrac{34:2}{4:4}\\\\d=\dfrac{17}{2}\\\\\boxed{d=8\dfrac{1}{2}}\to\boxed{c.}[/tex]

Answer:

Power factor is 0.8517 or 85.17%

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=208V[/tex], R=39kΩ and [tex]X_{L}[/tex]=24kΩ.

That means the circuit has a resistor element, inductor element in parallel with 208V applied across the terminal.

Let us find the current through resistor,

[tex]I_{R} =\frac{E_{T}} {R}= \frac{208}{39} =\frac{16}{3}=5.33[/tex] milli amps

And current through inductor,[tex]I_{L} =\frac{E_{T}} {X_{L}} =\frac{208}{24}=\frac{26}{3}=8.667[/tex] milli amps.

Hence total current, [tex]I_{T}= \sqrt{(I_{R})^2+(I_{T})^{2}} =\sqrt{5.33^{2}+8.667^{2}}=10.176[/tex]

Now power factor=[tex]\frac{I_{R}}{I_{T}}=\frac{5.33}{10.176}=0.8517[/tex]

Hence power factor is 85.17% or 0.8517

Answer:

a.) [tex]n+5=q[/tex] and [tex].05n +.25q=7.25[/tex]

Step-by-step explanation:

1.  You have that there were 5 more quarters ([tex]q[/tex]) than nickels ([tex]n[/tex]. Therefore, you can express it as below:

[tex]n+5=q[/tex]

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

[tex].05n +.25q=7.25[/tex]

3. Therefore, the answer is the option a.

ok so first we would do the function d(x) = 3(8)+2

which when solved turns out to be 26

we would then do the function h(x) = 2(26) +7

which when solved turns out to be 59

so he would need 59 dollars for the donuts

1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner

By given data

1 : Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed: Grouping Symbol

2 : An expression that consists of numbers, operations, and sometimes grouping symbol: Operator

3 : The order in which operations must be computed when more than one operation is involve: Order of Operations

4 : A number representing how many times the base number should be multiplied by itself :Exponent

5 : A Symbol that represents a value that can change: Variable

6 : A single number or variable, or numbers and variables multiplied together: Term

7 : The numerical factor in a term. A number being multiplied by a variable: Coefficient

8 : A number on its own, it has a fixed value: Constant

9 : A combination of variables, numbers, and operations: Numerical Expression

10 : You replace, or substitute, all the variables with numbers and then simplify: Variable Expression

11 : A statement that the values of two math expressions are equal (indicated by the sign : Equation

12 : The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”: Inequality

13 : The symbol of a math operation. plus, minus, times, divided by, equals: Evaluate

14 : An equation or inequality containing one or more variable: Open Sentence

Hence,

1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence

To learn more on number system click:

https://brainly.com/question/22046046

#SPJ2

Answer: No it is not a solution

Why not? Because it doesn't make the first inequality true. Replace x with 1 and y with 2

y > 2x

y > 2*1 ... replaced x with 1

2 > 2*1 .... replaced y with 2

2 > 2 .... which is a false inequality statement since 2 is not larger than itself

Answer: NO!

Step-by-step explanation:

x = 1, y = 2

 y > 2x

 2 > 2(1)

 2 > 2

 False

Sine it already failed, no need to check the other equation.

Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:

In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.

That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:

[tex]P(C\geq 20) = P(20 \leq C \leq 30)+P(C\geq30) = 85\%+5\%=90\%[/tex]

[tex]P(20 \leq C \leq 30) = 85\%[/tex]

[tex]P(C\leq 30) = P(C\leq20)+P(20 \leq C \leq 30) = 10\%+85\%=95\%[/tex]

The variance of the set is 579

The population standard deviation for this data set is 24

Answer:

579

24

This is correct

Step-by-step explanation:

Answer:    

The correct option will be:  d. 7950

Step-by-step explanation:

The police officer paid 10% of her income between $0 and $8350,  15% of her income between $8350 and $33,950  and 25% of her income between $33,950 and $47,050 in federal income tax.

So,   the amount of  tax at  10% rate  [tex]=(\$8350-\$0)*0.10=\$8350*0.10 = \$835[/tex],

the amount of tax at 15% rate [tex]=(\$33950-\$8350)*0.15 = \$25600*0.15=\$3840[/tex]

and the amount of tax at 25% rate [tex]= (\$47050-\$33950)*0.25= \$13100*0.25= \$3275[/tex]

Thus, the total amount of federal income tax will be: [tex](\$835+\$3840+\$3275)= \$7950[/tex]

Answer:

The correct answer is $7950

Step-by-step explanation:

Final answer:

Amelia swam 28 laps, which is four times the 7 laps that Wesley swam.

Explanation:

In solving the question about the number of laps Amelia swam, a straightforward multiplication approach is employed. Given that Amelia swam four times as many laps as Wesley, and Wesley's lap count is specified as 7, the calculation involves multiplying Wesley's laps by 4. In mathematical terms, Amelia's number of laps is determined as Wesley's laps multiplied by 4, resulting in 7 × 4 = 28 laps.

This multiplication process provides a clear and concise method to ascertain Amelia's lap count based on the given relationship, demonstrating a fundamental application of arithmetic principles in solving real-world problems involving numerical relationships and operations.

(a) - 5

since y varies inversely as x then  k = yx ( k is the constant of variation )

using y = 5 when x = - 1, then k = 5 × - 1 = - 5

The answer to your question is,

You can buy 5 cans of pineapple chunks with $10. Since each can is $2, you need to add $2 for each can until you get $10. :3

-Mabel <3

The pic is kinda upside down lol

A: 50x+0.60(200)=1620

B: It's kinda up to you to write what you've learned about the equality property but I'll give you the steps.

50x+0.60(200)=1620

50x+120= 1620

50x=1620-120

50x=1500

x=1500/50

x=30

C= Donna spent 30 days on her trip.

Check:

50(30)+0.60(200)=1620

50(30)+0.60(200)=1620

1500+120=1620

1620=1620