f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x

Answers

Answer 1

Answer:

x = - 25 , x =  84

Step-by-step explanation:

Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides

- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )

- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

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

Similarly equate right sides

- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )

- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x =  84


Related Questions

ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for his birthday. Which inequality can be used to find W, the number of weeks when Ryan will have more than $300

Answers

Answer:

25x + 75 ≥ 30

Hope this helps!

someone please help me

Answers

Answer:

the slope is -2

Step-by-step explanation:

Answer:

1/1 = 1

Step-by-step explanation:

Use rise/run.

The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).

1/1 can then be converted to 1.

Apply the distributive property:
-3(x+2) =

Answers

Answer:

-3x-6

Step-by-step explanation:

you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6

Hello skm413002!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Apply the distributive property:

-3(x+2) =

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

By applying the distributive property, we can solve it as....

[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]

Method :-Distributive property.

Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.

__________________

Hope it'll help you!

ℓu¢αzz ッ

heyy everyone a little halp here i kinda need it fast sorry
The heights of Rahul, Akash, Meera and Lakshmi are 1.54m, 1500mm,
152cm,1560mm respectively.
a) Arrange their heights in ascending order.
b) Who is the tallest among them?

Answers

Answer:

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Step-by-step explanation:

Rahul- 1.54m

Akash- 1500mm

Meera- 152cm

Lakshmi- 1560mm

Let's start by converting all the measurements to meters.

Rahul is already in meters, so he can just stay the same.

1500mm = 1.5m

152cm = 1.52m

1560mm = 1.56m

So our new measurements are:

Rahul- 1.54m

Akash- 1.5m

Meera= 1.52m

Lakshmi= 1.56m

We can now make our conclusions.

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Answer:

Step-by-step explanation:

Let's convert all the heights to meters:

Rahul 1.54m

Akash 1.50 m

Meera 1.52 m

Lakshmi 1.56m

Now, let's arrange their heights in ascending order (shortest to tallest):

Akash 1.50 m

Meera 1.52 m

Rahul 1.54m

Lakshmi 1.56m

a) 1500 mm, 152 cm, 1.54 m, 1560 mm

b) therefore Lakshmi is the tallest.

-
2x2 - 4x
b) Factorise

Answers

The answer is 2x X (x-2)

Can someone help me on this I’m struggling a lot

A) 2/16

B) 5/8

C) 6/8

D) 1/3

Answers

B : 5/8 because 1/2+1/8 = 5/8

Answer:

B) 5/8

Step-by-step explanation:

Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.

So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:

1/2 * 4 = 4/8

Now, we can add the amounts of the total granola bar that he consumed:

4/8 + 1/8 = 5/8

Because 5/8 cannot be simplified any further, that is our final answer.

Hope this helps :)

answer pls 8 + 40 ÷ (10 × 2)

Answers

Answer:

10

8+40÷20=8+2=10

,.,.......

hey yall i need you guys to answer this ]
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?] P.S ur the best yall

Answers

Answer:

he  spent $75.80

Step-by-step explanation:

hope this helps:D

what is the circumference of a circle with an area of 20 pi

Answers

Answer:

28.1 units

Step-by-step explanation:

Area of circle= πr², where r is the radius.

Given that the area is 20π,

20π= πr²

Divide both sides by π:

20= r²

Square root both sides:

[tex]r = \sqrt{20} [/tex]

[tex]r = \sqrt{4(5)} [/tex]

[tex]r = ( \sqrt{4} )( \sqrt{5} )[/tex]

[tex]r = 2 \sqrt{5} [/tex]

Circumference of circle= 2πr

Substitute the value of r:

Circumference of the circle

[tex] = 2(\pi)( 2\sqrt{5} )[/tex]

[tex] = 4\pi \sqrt{5} [/tex]

= 28.1 units (3 s.f.)

(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page​

Answers

Answer:

10/21

Step-by-step explanation:

Number of minutes required for printing 21 pages: 10

So, number of minutes required for printing 1 page

= 10/21

(= 0.47 = 0.5 [approximately])

How do I calculate (⅔)³×(4/9)⁴ with powers properties?​

Answers

Notice that

4/9 = 2²/3² = (2/3)²

so that

(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴

… = (2/3)³ (2/3)⁸

… = (2/3)¹¹

list the coordinate for both pairs.

Answers

Answer:

Hi I hope this helps

A = X : -3 Y : -3

B = X : -2 Y : 1

Step-by-step explanation:

please let me know if it's right or wrong

I got the rest please answer for last question!

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

see if that's correct? I'm not quite sure

solve the mystery. it is between 25 and 40.the sum of the digit is 8.the mystery number is not 26​

Answers

Answer:

35

Step-by-step explanation:

Numbers that add up to 8 and number combinations

0 and 8: 80, 08

1 and 7: 17, 71

2 and 6: 26, 62

3 and 5: 35, 53

4 and 4: 44

Since the number must be between 25 and 40, the only possible numbers are 26 and 35

Since 26 is not the answer, the number is 35

Which term of ap 30,27,24is0

Answers

Answer:

11th term is 0

Step-by-step explanation:

30, 27 , 24 ,......0

a = first term = 30

Common difference = second term - first term = 27 - 30 = -3

nth term = a+(n-1)*d

a + (n-1)d = 0

30 + (n - 1) *(-3) = 0

30 + n*(-3) -1*(-3) = 0

30 - 3n + 3 = 0

      -3n + 33 = 0

               -3n = -33

                   n = -33/-3

n = 11

Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form

Answers

The equations (-75)(-49)=3,675 the answer

Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard

Answers

Answer:

It is c

Step-by-step explanation:

help fast pleaseee
NO RANDOMS

Answers

Answer:

44.8

Step-by-step explanation:

Take the second number and subtract the first number

44.4 - (-.4)

Subtracting a negative is like adding

44.4 +.4

44.8

Answer:

[tex]D.44.8[/tex]

Step-by-step explanation:

The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.

- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).

PLEASE HELP!!

Which of the following is a complex number?

Answers

Answer:

A

Step-by-step explanation:

not sure if it is correct

Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest

Answers

42: 2,3,7
2 x 3 x 7 = 42

Answer:

42 = 2*3*7

Step-by-step explanation:

42 can be rewritten as 2*21, for example.  

2 is prime.  21 = 3*7.

Then 42 = 2 * 21 is also equal to:

         42 = 2*3*7. where these factors are ordered from least to greatest.  The prime factors of 42 are {2, 3, 7}.

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

7249jwnsnjdkwlskjeiwiwo1ñwlld

Answer:

I think it's about 15 to 22.

Step-by-step explanation: So first I checked the length for the unknown number and I added the 12 and 10 together but that didn't work and so i'm just estimating the number for x yo.

Sorry if I didn't helped you yo.

Someone plz help me :(

Answers

Answer:

the answer is c :)

Step-by-step explanation:

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer:

Perpendicular

neither

[tex]y=\frac{4}{5}x-2[/tex]

Step-by-step explanation:

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.

4.01 feet
9.37 feet
13.08 feet
29.85 feet

Answers

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Given:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.

Find:

The height of the tunnel 4 feet from the edge is.

Let us consider,

The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider

[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]

Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.

Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:

[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]

If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet  from the center of the tunnel.

Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,

[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]

Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

For further details,please prefer this link:

https://brainly.com/question/13447584

Answer:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Step-by-step explanation:

because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!

Determine what type of model best fits the given situation:



A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection

Answers

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?

Answers

73.2-60=13.2 stefan is 13.2 inches now

From a circular sheet of radius 18cm , two circles of radii 4.5cm and a rectangle of length 4cm and breadth 1cm are removed; find the area of the remaining sheet.​

Answers

Answer: 14 cm

Step-by-step explanation:

Answer:

R=14 cm

total area= πr²

=22/7*196=616 cm²

r2= 3.5 cm

area of the small circles= 2*πr²=2*12.25*22/7=77 cm²

length of rectangle=3

breadth=1

area =lb=3 cm²

area of the small circles+area of rectangle=77+3=80 cm²

remaining area=616-80=536 cm²

How many times does the graph y = (x + 3)2 touch the x-axis?
x

Answers

Answer:

one

Step-by-step explanation:

y = (x + 3)^2

Start with the parent function y = x^2.

y = x^2 touches the x-axis at only 1 point, (0, 0).

The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.

Answer: one

Answer:

Step-by-step explanation:

To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:

y = (x + 3)^2 = 0

Taking the square root of both sides, we get x + 3 = ±0, or x = -3.  As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}.  Thus in theory, the graph touches the x-axis in two places, but these two places are identical:   (-3, 0)

20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...

Answers

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

find the midpoimt of the line segment between the points (4,-7) and (12, -1)

a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)​

Answers

Answer: a. (8, -4)

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

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