Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1. (1 point)


−30

0

10

12

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Given: f(x) = 5x − 10 and g(x) = x + 3

f(g(x)) = 5(x+3) -10

f(g(x)) = 5x + 15 -10

f(g(x)) = 5x + 5

f(g(-1)) = 5(-1) + 5     (plugging x = -1)

f(g(-1)) = -5 + 5

f(g(-1)) = 0


Related Questions

HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work

Answers

Answer:

x=8

Step-by-step explanation:

log4( x-6) +log4(x) = 2

We know that loga + log b = log (ab)

log4( x-6)(x) = 2

Raise each side to the base of 4

4^log4( x-6)(x) = 4^2

( x-6)(x) = 16

Distribute

x^2 -6x = 16

Subtract 16 from each side

x^2 -6x-16 = 0

Factor

(x-8) (x+2) =0

Using the zero product property

x-8=0      x+2 =0

x=8     x=-2

Checking, we cannot have the log of a negative number so -2 is not a solution

Answer:

x = 8

Step-by-step explanation:

log4(x - 6) + log4(x) = 2

log4[(x - 6) × x] = 2

x² - 6x = 4²

x² - 6x - 16 = 0

x² - 8x + 2x - 16 = 0

x(x - 8) + 2(x - 8) = 0

(x + 2)(x - 8) = 0

x = 8, -2

Log of negative numbers do not exist, so x is only 8

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

Products

Base-Period
Quantities (Year 1)

Mean Shipping Cost
per Unit ($)

Year 1

Year 5

A

1,500

10.50

15.90

B

5,000

16.25

33.00

C

6,500

12.20

18.40

D

2,500

20.00

35.50

Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)

I5 =

Answers

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

Products

Base-Period                                                    Current Period

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

                          =106500              60,000        

∑                          416300                  248350      

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100  =  1.676=1.68= 168.63= 169

I WILL GIVE BRAINLYIST IF CORRECT

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.

In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.

Answers

Answer:

Perp≈12.6 ft

Step-by-step explanation:

Since this is a right angled triangle, so we'll use the formula

Hypotenuse ²=base²+ perp²

Where hyp=14 , base=6

14²=6²+perpendicular ²

196= 36 + perp²

Perp²=196-36

Perp ²= 160

Taking sq root on both sides

Perp=12.649

Perp≈12.6 ft

Answer:

The guy above me is right 12.6

Step-by-step explanation:

hope he gets brainlist

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)

Answers

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b​

Answers

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

What are the Dursleys hoping will
happen this evening?
А
They will have a delicious
dinner.
B
They will impress the Masons.
C
They will run away to Spain.
They will start using magic.

Answers

Answer:

b

Step-by-step explanation:

what is 10x + 45 >120 ​

Answers

Answer:

[tex]0.75 \: \: \: \: or \: \frac{15}{2} [/tex]

Step-by-step explanation:

[tex]10x > 120 - 45 |collect \: like \: terms| \\ 10x > 75 |simplify \: | \\ \frac{10x}{10} > \frac{75}{10} |divide \: both \: side \: by \: 10 | \\ x > 0.75 \: or \: \frac{15}{2} [/tex]

Pls help me I give brainliest thank uu and can u do step by step

Answers

Answer:

A. 48,000

Step-by-step explanation:

60 x 20= 1200

1,200 x 40= 48,000

Plz mark brainliest .^.

Answer:

To find the volume you have to multiply all the number together in any order. The order doesn't matter.

Step-by-step explanation:

To find volume=

40*20= 800

then, 800*60= 48,000

since it's in cm and there are 3 numbers then it would be 48,000 cm cubed

What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

what is the measure of angle A?

Answers

Answer:

A = 77.32

Step-by-step explanation:

sin theta = opp/ hypotenuse

sin A = 80/82

sin A = 40/41

Take  the inverse sin of each side

A = sin ^-1 (40/41)

A =77.31961651

To the nearest hundredth

A = 77.32

What is the area of this parallelogram

Answers

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

Hope this helps! (please mark me brainliest)

4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations

How would I show my work?

Answers

Answer:

scale factor 2.5

Step-by-step explanation:

Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?

Answers

Answer:

A) 16 cm

B) 50.24 cm

Step-by-step explanation:

Part A:

The diameter is double the radius

The radius is half of the diameter

To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.

1) Multiply 8 by 2.

[tex]8*2=16 cm[/tex]

Part B:

The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]

To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.

1) Multiply pi by 16.

[tex]\pi*16=50.24[/tex]

Pi in this case is 3.14

Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft

Answers

Answer:

16

Step-by-step explanation:

is the the associated

solve the system of equations

Answers

Answer:

r=idk

y=idk

Step-by-step explanation:

A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?

190
200
210
220

Answers

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

Help asap! Giving brainliest!

Answers

Answer:

A D E

Step-by-step explanation:

Answer:e

Step-by-step explanation:

7.5% of what is 7.38?

Answers

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.​

Answers

Answer:

is there a picture

Step-by-step explanation:

A angle has late of 5 and 2 cm write the possible third number

Answers

Answer:

Maybe

Step-by-step explanation:

8 possibly could be a number

Simplify (-2x^3)2•y•y^9

Answers

Answer: -4x^3 y^10
-2x^3 • 2 = 4 (because 2•2 is 4, they don’t share the same variable so you just multiply the base)
y^9 • y^1 (9+1=10)

-4x^3 y^10

Simplify (-2x^3)^2 •y•y^9       Answer 4x^6y^10

The police received a report about a body found in the woods behind the local shopping center. The forensic investigator collected 5 different types of living insects on the man’s body. It’s important to stress that investigators found all 5 insects alive on the body at the same time. The insects were sent to the forensic entomology lab, where they were raised under similar conditions to those found around the dead body. The following chart describes the life cycles of each of the five different types of insects found on the dead body. How long has the man been dead? Justify your answer.
Day
Insect 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Update:
The police received a report about a body found in the woods behind the local shopping center.? Forensic science
Update 2:
The police received a report about a body found in the woods behind the local shopping center. Forensic science question?

Answers

Answer:

The man has been dead for 9 days. This is because this is the only day on the chart where all the types of insects coexist.

Step-by-step explanation:

5 species of insects were found at the same time alive on the dead man's body.

These 5 insects are then sent to the lab to be studied and larvae/eggs from them, raised under similar conditions to the conditions of the dead body.

The activity the eggs are them studied and presented in the chart provided

Insect/Day 1 2 3 4 5 6 7 8 9 10

Blowfly 1 1 1 1 1 1 1 1 1 0

Species A 0 0 0 0 1 1 1 1 1 1

Species B 0 0 0 0 0 0 1 1 1 0

Species C 0 0 0 0 0 0 0 0 1 1

Species D 0 0 0 0 0 1 1 1 1 1

Note that 0 represents a non-activity on the part of the egg of the insect specie.

From the chart, the first time all 5 insects coexist together at the same time just like they were found in the dead body is on the 9th day. Before the 9th day, all 5 insects do not coexist at the same time and even beyond the 9th day, on the 10th day, insect specie B stops existing.

So, it is evident that the man has been dead for 9 days as that's the only day on the chart where all the types of insects coexist.

Hope this Helps!!!

you roll a cube find the probability of rolling an even number?

Answers

Answer: 1/2

Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.

So there are three ways to roll an even number.

Now let's use our ratio for the probability of an event.

P(event) = number of favorable outcomes/total number of outcomes

Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.

Also, remember that a number cube has six total outcomes.

So 6 will go in the bottom of our ratio

So the probability of rolling an even number is 3/6.

However, we can reduced 3/6 to 1/2.

Always reduce when finding probability.

So the probability or likelihood of rolling an even number is 1/2.

Find an
angle 0 coterminal to 701°, where 0°

Answers

Answer:

341°-19°

Step-by-step explanation:

Subtracting 360°, you get ...

  701° -360° = 341°

Subtracting 360° again, you get ...

  341° -360° = -19°

Angles 341° and -19° are coterminal with 701°.

_____

Additional comment

You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.

What is the volume of this rectangular prism?(HURRY)

Answers

Answer:

295.2

Step-by-step explanation:

Answer:295.2 cm^3

Step-by-step explanation:

Length=L=15cm

Width=w=4.1cm

Height=h=4.8cm

volume of rectangular prism=L x w x h

Volume=15x4.1x4.8

Volume=295.2 cm^3

What is the mean of the probability distribution?

Answers

Answer:

2.0

Step-by-step explanation:

assuming this is from edge 2.0 is correct

Answer:

c

Step-by-step explanation:

2x2+3y=-2 solve for y

Answers

Answer:

y=(-2/3)x^2-(2/3)

Step-by-step explanation:

2x^2+3y=-2

3y=-2x^2-2

y=(-2/3)x^2-(2/3)

Answer:

y= -2

Step-by-step explanation:

2x2+3y=-2

4+3y=-2

Subtract 4 from both sides

3y=-6

Divide both sides by 3

y= -2

In my case, x means multiplied by not a variable.

A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?

Answers

Answer:

9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profit

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

5x + 8 = ______, when x = 4

Answers

Answer:

28

Step-by-step explanation:5 times 4 plus 8 is 28

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