give the answer please

Give The Answer Please

Answers

Answer 1

Using the domain concept, the only value of x that is not on the domain of [tex]f(x) = \frac{1}{3x + 5}[/tex] is given as follows:

[tex]x = -\frac{5}{3}[/tex]

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function. For a rational function, for example, the zeros of the denominator are excluded from the domain. Another example is an even root, where the inside term has to be positive.

The rational function for this problem is given by the function f(x) presented below:

[tex]f(x) = \frac{1}{3x + 5}[/tex]

The denominator is 3x + 5, hence the restriction in the domain of f(x) is given as follows:

3x + 5 = 0

3x = -5

[tex]x = -\frac{5}{3}[/tex]

The solution to the equation above is the only value of x that is not part of the domain of f(x).

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Related Questions

Find the value of r so that the line through (8,r) and (4,5) has a slope of -4

Answers

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

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

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = [tex]\frac{r-5}{8-4}[/tex] = [tex]\frac{r-5}{4}[/tex] = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the - y = 4x + 5 y = 4x - 5 2y = 8x - 10 - 2y = 8 - 10​

Answers

Step-by-step explanation:

step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.

step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.

step 3. y = 4x - 5. "no".

step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".

step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".

The roots of a quadratic equation are 5 and
2
3
. If one of the two factors of the equation is
x

5
, which expression could be a second factor?


2
x

3

2 x − − 3

2
x
+
3

2 x + 3

3
x

2

3 x − 2

3
x
+
2

3 x + 2

Answers

I think before we get to this answer we need to understand how roots of a quadratic equation works.

When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)

In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.

Hope this helped you and if there is any questions about this please let me know in the comments.

Could someone please help me with this

Answers

The first number is 3 and the second is 18

suppose you plunk $5000 into a one-year certificate of deposit (CD) that pays simple interest at 3% per annum. The interest you earn after one year would be $150:​

Answers

Simple Interest
Simple interest is calculated using the following formula:

Simple Interest
=
P
×
r
×
n
where:
P
=
Principal amount
r
=
Annual interest rate
n
=
Term of loan, in years


Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years

The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the value of S is

The principal amount = $ 5,000

The rate of interest R = 3 %

The time period T = 1 year

So , the Simple Interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 5000 x 3 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 150000 / 100

Simple Interest S = $ 150

Therefore , the value of S is $ 150

Hence , the simple interest for the deposit is $ 150

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Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches

Answers

Answer:

8s + 12

s=12-8

s=4

or

8s +12

s=12+8

s=20

Step-by-step explanation:

im not sure kung minus o plus kasi kung kinus mababa lang binayad nya

S=12-8=4 hope this helps :)

Which is the correct value for tanN? *
A tanN=16/20
B tanN=16/12
C tanN=12/20
D tanN=12/16

Answers

Answer:

D

Step-by-step explanation:

3/4 = 12/16

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780.
How much commission did Mrs. Montgomery earn last month?What was her total pay for the month?

Answers

Answer:

Commission: $3625.70

Total (sales + commission): $59405.70

Step-by-step explanation:

6.5% of 55780 = 0.065 × 55780 = 3625.7

55780 increase 6.5% =

55780 × (1 + 6.5%) = 55780 × (1 + 0.065) = 59405.7

I NEED HELP PLEASEEE!!!!

Answers

Answer:

1/4

Step-by-step explanation:

You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:

1/3 * 3/4

(cross multiply)

3/12

(simplify (divide top and bottom by three))

1/4

help me will mark as brainliest can someone give me the answer of both or atleast one​

Answers

Answer:

8. the length is 88/5cm or 17.6cm

Step-by-step explanation:

8.perimeter =2L + 2W

when you convert the width 42/5 = 8.4

so 52 = 2L + 2*8.4

52= 2L + 16.8

52 - 16.8 = 2L

35.2 = 2L

divide both sides by 2

L = 17.6cm

Algebra 1 Please help! thank u sm

Answers

Answer:

1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.

2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.

3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.

Step-by-step explanation:

I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:

When you multiply, you add.

When you divide, you subtract.

When there are parentheses, you multiply.

In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.

Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!

I need help with this plz

Answers

Answer :

B I think that’s the answer
12 + 13 + 14 + 18 + 14 + 13 + 14 + 17 + 12 + 13

= 140

÷10

= 14

Answer is B

What is the least common multiple of 36 and 90?

Answers

Answer:

180

Step-by-step explanation:

36, 72, 108, 144, 180

90, 180

Have a great day!

Stay safe!

Bye!

<3

Admission to the carnival cost four dollars then each game cost $.50 if Kalen can spend no more than $10 how many games can she play

Answers

Answer:

12

Step-by-step explanation:

10-4=6

6÷0.50 = 12

Can anyone answer 20-24

Answers

mmm no but try the slader app! XD

Find the length of the third side. If necessary, round to the nearest tenth.
17

25

Answers

Answer:

the real answer is 48 but if you round it to the nearest tenth it's 50

Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.

Pythagorean theorem
C^2 = A^2 + B^2.

We already have the hypotenuse, C, because it is across from the 90 degree angle.
25^2 - 17^2 = B^2

336 = B^2

B = 18.3, and to the nearest tenth it would be 18.
The other commenter did not realize that we already had a hypotenuse.

The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)

Answers

Answer:

the graph of the rational function is B

Answer:

Step-by-step explanation:

B

obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]

Answers

———111111111111111111111111111111

What is the expanded form of this number?
570.086
A (5×100)+(7×10)+(8×1100)+(6×1100)

B (5×100)+(7×10)+(8×110)+(6×1100)

C (5×100)+(7×10)+(8×110)+(6×11,000)

D (5×100)+(7×10)+(8×1100)+(6×11,000)

Answers

Answer:

B

Step-by-step explanation:

I think it is No am not sure exactly

The expanded form of this number 570.086 is,

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

What is Place value?

The value represented by a digit in a number on the basis of its position in the number is called a Place value.

Given that;

The number is,

⇒ 570.086

Now, We can expand the number as;

⇒ 570.086

⇒ 500 + 70 + 00 + 8/100 + 6/1000

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

Thus, The expanded form is,

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

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help guys soal integral​

Answers

Answer:

E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]

Step-by-step explanation:

[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]

GIVING BRAINLIST!!! m∠GHI=98° and m∠JKL=82°.

Which statement is true about ∠GHIand​∠JKL​?




The angles are neither complementary nor supplementary.

The angles are complementary.

The angles are supplementary.

Answers

Answer:

The angles are supplementary

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Hope this helps! :)

Answer:

The angles are supplementary.

Step-by-step explanation:

82 plus 98 is 180, so the angles are supplementary.

I hope this helps!

Thx for Brainliest!

Evaluate each of the numerical expressions below.
1. 42 +9
2. (5 + 8)
PLEASE HELP ITS DO RN

Answers

Answer:

1. 51

2. 13

Step-by-step explanation:

1. 42 + 9

42 + 9 = 51

2. (5+8)

5 + 8 = 13

A sign in a bakery gives these options: Option A: 15 cupcakes for $30 Option B: 30 cupcakes for $56 Option C: 60 cupcakes for $100 1. Find each unit price to the nearest cent. 2. Which option is the best deal per cupcake and gives the lowest unit price?​

Answers

We’re looking for cost per cupcake.

Option A: 15 cupcakes for $30
$30 / 15 = $2 per cupcake

Option B: 30 cupcakes for $56
$56 / 30 = $1.86666 (round to $1.87) per cupcake

Option C: 60 cupcakes for $100
$100 / 60 = $1.66666 (round to $1.67) per cupcake

Option C is the lowest unit price, and best deal

HELP.... BRAINLIEST FOR ANYONE WHO ANSWERS
Kelly walks 1/3 mile to school. Justin’s walks 75% longer. How far does Justin walk to school?

Answers

Answer:

7/12 miles i think

Step-by-step explanation:

3/4 x 1/3 = 1/4

1/3 + 1/4 = 7/12 miles

Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.

Answers

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

PLEASE HELP ME GUYS!! ITS URGENT

Answers

I think yes they are similar because both of the sizes are equal

Which line is parallel to y=2x-3?


A. y=-2x+4


B. y=2x+4


C. y=1/2x+4


D. y= - 1/2x+4

Answers

The answer is B I believe!

AB=
Round your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

2/sin25=AB/sin90

 AB=4.73

3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5

Answers

Answer:

[tex]y = 2 \\ x = 1[/tex]

Step-by-step explanation:

[tex]y = 2 \\ x = 1[/tex]


(5-8) (1,4) m = -3
find the slope

Answers

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

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