the x-intercept of the graph of f(x)=3log(x-5)+2 is:

The X-intercept Of The Graph Of F(x)=3log(x-5)+2 Is:

Answers

Answer 1

Answer:

C

Step-by-step explanation:

To find the x- intercept let f(x) = 0 , then

3log(x - 5) + 2 = 0 ( subtract 2 from both sides )

3log(x - 5) = - 2 ( divide both sides by 3 )

log(x - 5) = - [tex]\frac{2}{3}[/tex] , then

x - 5 = [tex]10^{-\frac{2}{3} }[/tex] ( add 5 to both sides )

x = [tex]10^{-\frac{2}{3} }[/tex] + 5 → C


Related Questions

The student council at Greenwood High School is making T-shirts to sell for a fundraiser, at a price of $19 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $88. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?

Answers

Answer:

19-8=11,11*n>=88,n>=8 ,8*119-8=11,11*n>=88,n>=8 9=152

Step-by-step explanation:

Unit price - cost = unit profit

When unit profit * quantity > = Installation cost, achieve positive profit

Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?

Answers

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

A = P {1 + (r/n)}^nt.

In which case;

A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15

Therefore;

$16,876.72 = $7,972 (1 + r/1)^(1×15)

$16,876.72/$7,972 = (1 + r/1)^(1×15)

2.117 = (1 + r/1)^(1×15)

[tex]1 + r = \sqrt[15]{2.117} [/tex]

1 + r = 1.051

r = 1.051 - 1

r = 0.051

The interest rate is therefore; 0.51%

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Explain the equivalence of 7 divided by 2 or 7/2and using words.

Answers

Answer:

so this is what i think im not sure but ot will be seven dived by two . i hope this works

48 mouse traps/6 people = X mouse traps/1 person

Answers

Answer:

8 mousetraps

Step-by-step explanation:

to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.

Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer

Answers

$30
12 divided by 4 is 3
3 times 10 is 30

A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted

Answers

Answer:

1800.

Step-by-step explanation:

If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 =  25!/ (25-2)!

= 600.

If the first number is M or P the number is the same so that makes 1800 possibilities.

Help ASAP!!!!!
A. 1/4
​B. 4
C. - 1/4
​D. –4

Answers

Answer:

D. -4

Step-by-step explanation:

PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST

Answers

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7

What is the y-intercept?

Answers

Answer:

y- intercept = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses the y- axis

In this case that is the point (0, 4 ) , then

y- intercept = 4

I need it asap thanks

Answers

Answer:

Point-slope form: y - 3 = -6/5 (x + 5)

Slope-intercept form: y = -6/5x - 3

Solve the inequality and enter your solution as an inequality.

7x > 49​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which of the following functions best describes this graph?

Answers

Answer:

c

Step-by-step explanation:

y=x2-5x+6

help me out pleaseeee

Answers

Step-by-step explanation:

(5p+11)+(8p-4)

5p+11+8p-4

5p+11+8p-145p+7+8p13p+7

Hope it's help you

Have a great day<3

please make me brainliest please

Answer:

(5p+11)+(8p-4)

Remove parentheses:

5p+11+8p-4

Combine like terms:

5p+8p+11-4

=13p+7

solve for x. round to the nearest tenth of a degree, if necessary

Answers

Okay but where is the problem?

Jessica bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 19 dollars. How much did each candy bar cost ?

Answers

Answer:

$3

Step-by-step explanation:

19-4= 15

15 divided by 5= 3

Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E

Answers

Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

d. took the test

Step-by-step explanation:

what is 2/3 divided by 1/3

Answers

Answer:

2

Step-by-step explanation:

2/3 ÷ 1/3 =

2/3 • 3/1 =

6/3 =

2

The quotient is 2

Solve the Quadratic equation
8n²-56=48n

Answers

Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.

Answers

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get

Answers

If he get 96 new customers that means he will have to sign 24 customers

for the new service features.

The deal is to get 25% of your new customer to sign the new service features.

When the new customers are 96 in numbers, the number of individuals(25%

of the new customers) to be signed for the new features can be calculated as

follows:

New customer to sign for the new features = 25% of 96

New customer to sign for the new features = 25 / 100 × 96

New customer to sign for the new features = 2400 / 100

New customer to sign for the new features = 24

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This means that if I get 96 new customers that means I have to get 24 new customers

From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.

Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:

= 25% of 96

= 0.25 * 96

= 24 new customers

This means that if I get 96 new customers that means I have to get 24 new customers

Learn more on proportion here: https://brainly.com/question/19914553

Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?

Answers

Answer:

107

Step-by-step explanation:

Because, 36+35=71

and 71+36=107

Answer:

107

Step-by-step explanation:

not that hard bro

PRETTY PLS HELP ME JUST 2 MORE QUESTIONS PLS 50 POINTS

Answers

Answer:

I think that you should take your time and answer, every one can help you

Step-by-step explanation:

Step-by-step explanation:

ok give question and intro new sis

Identify the similar triangles.
ΔHFE=
ΔHFE=​

Answers

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

What are similar triangles?

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Learn more about similar triangles here:

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Let
f
(
x
)
=
3
x
+
3
f
(
x
)
=
3
x
+
3
and
g
(
x
)
=
x
2
+
x
+
2
g
(
x
)
=
x
2
+
x
+
2
. Evaluate the following.

a
.
a
.

f
(
2
)
f
(
2
)
=
b
.
b
.

f
(

3
)
f
(
-
3
)
=
c
.
c
.

g
(

2
)
g
(
-
2
)
=
d
.
d
.

g
(
3
)
g
(
3
)
=
e
.
e
.

f
(
a

3
)
f
(
a
-
3
)
=
f
.
f
.

g
(
a

3
)
g
(
a
-
3
)
=

Answers

I think when you copied and pasted your question it re arranged itself

10 to the 2 power in fraction form

Answers

Answer

5

to per power

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

Hey there!

10^2

= 10 * 10

= 100

Therefore, your answer should be: 100

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park

Answers

Let all people be 100%

Now

People bring dog=31%

1/3rd of people

[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]

Second group people has larger percentage

Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?

Answers

if he swims .10 in 2 mins, half of that (one min) is .05

Duke swims 0.05 miles in a minute.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Duke swims 0.10 mile in 2 minutes.

Now,

Since, Duke swims 0.10 mile in 2 minutes.

Thus, Speed = 0.10 / 2

Speed = 0.05 mile per minute

And, He swims at the same speed.

Thus, Distance in 1 minute,

Speed = Distance / Time

0.05 = Distance / 1

Distance = 0.05 miles.

Thus, Duke swims 0.05 miles in a minute.

Learn more about the speed visit:

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A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.

Answers

Answer:

yy is the comparative narrow of speech to me happy and a bit in a sentence

Step-by-step explanation:

ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be

Simplify.

–36 + (–74)


–110


–100


38


110

Answers

Answer: -110

-------------------------------

- 36 + (-74)

- 36 - 74

- 110

<3

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