if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).

Answers

Answer 1

Answer:

[tex]-7x-3[/tex]

Step-by-step explanation:

[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].

So

[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]


Related Questions

Which statement is true regarding the functions on the graph?

Answers

f(-3)= (-4) because if you look at the F line it’s at -3 on the graph and the G line is -4 where the lines cross over each other

Solve and show steps

Answers

Answer:

41

Step-by-step explanation:

3 unit= 15

4unit = 15/3 x 4= 20

20+21=41

Answer:

The correct answer is 41.

Step-by-step explanation:

unit 3: 15

unit 4: 15/3 x 4= 20

Then add 20 and 21 together and you get 41.

The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?

Answers

Answer:

x=7

Step-by-step explanation:

9x+20x+16+12x+10+7x-2=360

48x+24=360

48x=360-24

48 x=336

x=336/48=7

HELP!
Consider the below equation:

0.5x-7= sqrt(-5x+29)


Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.

Answers

Answer:

Algebraically

0.5x-7= √(-5x+29)

(0.5x-7)² = -5x+29

(0.5x)² - 2*0.5x*7 + 7² = -5x+29

0.25x² - 7x + 49 + 5x - 29 = 0

0.25x² - 2x + 20 = 0

Its discriminant is:

b² - 4*a*c

(-2)² - 4*0.25*20

-16 < 0

Therefore, the equation has no solutions.

Graphically

In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.

Write the slope intercept form through (-1, -1), perp to y= 1/3x -3

Answers

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 1) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = - 3x - 4 ← equation of perpendicular line

The difference of 7y+1 and 4y−12 is subtracted from 10.

Answers

Answer:

-3y-3

Step-by-step explanation:

The difference:

7y+1 - (4y−12)= 3y + 13

Subtraction:

10- (3y+13)= -3y-3

PLEASE HELP ASAP I always give brainliests!

You have found the following ages (in years) of 4 bears. Those bears were randomly selected from the 22 bears at your local zoo: 5,4,6,39 Based on your sample, what is the average age of the bears? What is the standard deviation? Round your answers to the nearest tenth.
Average age: ______ years old
Standard deviation: ______ years

Answers

For the given set, the average is 13.5 years, and the standard deviation is 17.02 years.

What is the average age of the bears?

Here we know that the ages of the bears are {5, 4, 6, 39}, then the average of these 4 values is:

[tex]A = \frac{5 + 4 + 6 + 39}{4} = 13.5[/tex]

So the average age of the bears is 13.5 years.

What is the standard deviation?

The standard deviation for the given set will be:

[tex]S_X = \sqrt{\frac{(5 - 13.5)^2 + (4 - 13.5)^2 + (6 - 13.5)^2 + (39 - 13.5)^2}{4 - 1} } \\\\S_X = 17.02[/tex]

The standard deviation is 17.02 years.

If you want to learn more about sets of data, you can read:

https://brainly.com/question/475676

What is the value of p?

Answers

Answer:

50degrees

subtract 180with140and with 90 then add

Answer:

50˚ "D"

Step-by-step explanation:

All you have to do is subtract  140 by 90

Your equation should look like this: 140-90

I need help on this.​

Answers

Answer:

the x should be 10x7-(9x6)

Step-by-step explanation:

because it should be 10x7-(4+30)

Answer:

The first line has a mistake, multiply and divide  before add and subtract

Step-by-step explanation:

10*7 - (4+5*6)

Parentheses first

10*7 - (4+5*6)

Inside the parentheses we multiply and divide first

10*7 - (4+30)

tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person gets


PLZ ASAP

Answers

Answer: 1 3/5

Step-by-step explanation:

if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6

Darren and Quincy wanted to justify that the expression One-sixth (6 x + 12) minus one-half (4 x + 2) is equivalent to Negative x + 1. Their justifications are shown below. Darren’s Method: Substitute 2 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (2) + 12) minus one-half (4 (2) + 2) = one-sixth (24) minus one-half (10) = negative 1. negative x + 1 = (negative 2) + 1 = negative 1 Quincy’s Method: Substitute 6 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (6) + 12) minus one-half (4 (6) + 2) = one-sixth (48) minus one-half (26) = negative 5. negative x + 1 = (negative 6) + 1 = negative 5 Which explains who is correct? Only Darren is correct because he substituted x = 2 into the expressions. Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions. Both are correct because after substituting the same value into both expressions, the result is the same. Both are correct because after submitting different values into each expression, the result is the same.

Answers

Answer:

Both are correct because after substituting the same value into both expressions, the result is the same.

Step-by-step explanation:

Given the expression:

(1/6)*(6*x + 12) - (1/2)*(4*x + 2)

Applying distributive property:

(1/6)*6*x + (1/6)*12 - (1/2)*4*x - (1/2)*2 =

= x + 2 - 2x - 1 =

= -x + 1

Then, for any number substituted into both equations, the result is the same

Answer:

c: Both are correct because after substituting the same value into both expressions, the result is the same.

Step-by-step explanation:

did it on edge 2020

What is the volume of the solid figure below?
28 m3
96 m3
104 m3
128 m3

Answers

Answer:

C!

Step-by-step explanation:

I would split the figure into 2 blocks by the dashed line.

Find the dimensions of each block.

The larger block's dimensions are

3 x 4 x 6

The smaller block's dimensions are

4 x 2 x 4

Now find the volumes.

72

32

Add the volumes

104

Answer:

It is C 104 m3

Step-by-step explanation:

Which of the following events will have an EQUALLY LIKELY chance of occurring?

A (rolling a 7 on a standard number cube labeled 1 - 6)
B (rolling a number less than 3 on a standard number cube labeled 1 - 6)
C (picking a vowel from the word ANTEATER)
D (picking a blue marble from a bag consisting of 8 blue, 2 red, and 1 white)
E (rolling an even or odd number on a standard number cube labeled 1 - 6)

Answers

Answer:

a no because its 0/6

b yes because there is a chance occuring

c. yes because there is a chance occuring

d.yes because there is a chance occuring

e. yes?

Step-by-step explanation:

not sure on the last one

Need help on this ASAP

Answers

Answer:

I just learned this a few months ago! Your lucky! Answer= 49! happy to help:D

Step-by-step explanation:

c Squared = 6 squared+ 1 squared

c squared= 7 squared

7 squared= 49

c = 49

Mrs. Singh wrote 4 equations on the board.
Which of Mrs. Singh's equations is NOT true?
O
A. 3:3 = 1
O
B. 7-0 = 0
O C. 8:1 = 8
OD. 04 = 0​

Answers

Answer:

A and B are not true

Step-by-step explanation:

A. 3 * 3= 9 NOT 1

B. 7-0 =7 NOT 0

C. 8*1=8

D. 0*4=0

Two friends, Terrence and Eric share a certain amount of money in the ratio 5:9. If Terrence gets $56 less than Eric find the total amount of money that is shared between the two boys.​

Answers

Answer:

239.556

Step-by-step explanation:

Difference of ratio=9-5=4

Sum of ratio=9+5=14

we know that Eric got $56 more

which means

4/14=56

1/14=56/4

1/14=14

1=14*14

=196

now we need to find

9/14=(196*14)/9

      = 239.556

!!HELP ME PLS!!

A model lighthouse uses a scale of 1/4 inch = 5 feet. The height of the model lighthouse is

6 3/8 inches

What is the height of the actual lighthouse?

Answers

Answer:

127 1/2 feet

Step-by-step explanation:

A model lighthouse uses a scale of 1/4 inch = 5 feet.

This means that 1/4 inch on the model represents 5 feet in actual life.

The height of the model lighthouse is  6 3/8 inches i.e. 51/8 inches.

The height of the actual lighthouse is:

1/4 inch = 5 feet

51/8 inches = x

Cross-multiply:

51/8 * 5 = 1/4 * x

=> x = 51/8 * 4 * 5

x = 127 1/2 feet

The height of the actual lighthouse is 127 1/2 feet.

I need help with this

Answers

Answer:

p, because triangle ABC - triangle EDC

Step-by-step explanation:

ANYONE PLEASE HELP! (MARKS BRAINLIEST FOR HELPIING)
1) In the quadratic equation, k represents a real number.
3x^2+2kx+2=0
Which value of k gives imaginary solutions to the equation? Select all the values that apply.
A. − 5
B. − 3
C. − 1
D. 2
E. 3
F. 4
2) 1/2 x+12=8+4( x+1)
Which could be a correct first step to solve the equation? Select all the steps that apply.
A. Distribute 4 to the quantity ( x+1).
B. Add − 8 to each side of the equation.
C. Distribute 12 to the quantity ( x+1).
D. Multiply each side of the equation by 2.
E. Subtract 12 from each side of the equation.
F. Add together the 8 and the 4 on the right side of the equation.
G. Multiply the left side of the equation by 2 to eliminate the fraction.

3) In the equation of f(x) shown, r and s are positive real numbers.
f(x)=x^2−2(r−s)x+(r−s)^2+(r+s)
Select the options from the drop-down menus to correctly rewrite f(x).
FILL IN: f(x)= ( ......... ......... )2 ..........

4) A city’s population, P, changes according to the function P( x )=50,000 ( 0.95 )^x. where x represents the number of years after the year 2000.

Select the options from the drop-down menus to complete an accurate description of the population.

The population of the city in the year 2000 was(...……..) . The population is (..............) by (..........)each year.

Answers

Answer:

I found it on quizlet and it helped me out a lot :)

Step-by-step explanation:

just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

-3/2
3/2
- 1/2
1/2

Answers

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

Answer:

-3/2

Step-by-step explanation:

Which ordered pair is a solution of the equation?
6x + 3y = 15

Answers

Check every pair to see if it's a solution.
Here's how you can check if a pair is a solution:
Plug it into the equation.
Multiply the x coordinate by 6, and the y by 3. Add these up. If you get 15, then it's a solution.

Here are a hundred solutions:
(-50,105) (-49,103) (-48,101) (-47,99) (-46,97) (-45,95) (-44,93) (-43,91) (-42,89) (-41,87) (-40,85) (-39,83) (-38,81) (-37,79) (-36,77) (-35,75) (-34,73) (-33,71) (-32,69) (-31,67) (-30,65) (-29,63) (-28,61) (-27,59) (-26,57) (-25,55) (-24,53) (-23,51) (-22,49) (-21,47) (-20,45) (-19,43) (-18,41) (-17,39) (-16,37) (-15,35) (-14,33) (-13,31) (-12,29) (-11,27) (-10,25) (-9,23) (-8,21) (-7,19) (-6,17) (-5,15) (-4,13) (-3,11) (-2,9) (-1,7) (0,5) (1,3) (2,1) (3,-1) (4,-3) (5,-5) (6,-7) (7,-9) (8,-11) (9,-13) (10,-15) (11,-17) (12,-19) (13,-21) (14,-23) (15,-25) (16,-27) (17,-29) (18,-31) (19,-33) (20,-35) (21,-37) (22,-39) (23,-41) (24,-43) (25,-45) (26,-47) (27,-49) (28,-51) (29,-53) (30,-55) (31,-57) (32,-59) (33,-61) (34,-63) (35,-65) (36,-67) (37,-69) (38,-71) (39,-73) (40,-75) (41,-77) (42,-79) (43,-81) (44,-83) (45,-85) (46,-87) (47,-89) (48,-91) (49,-93)

fill in the blank. given O below you can conclude that PY is congruent to ______ .

Answers

My guess would be B , Hope this helped

Chord PY is congruent to Chord NL of a circle with center 0. Option A is correct.

Given,
A circle with center o is shown with two chords equidistant from the center which is 3 units.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

Since the property of the circle describes that chords that are equidistant from the center of the circle are equal in length,

In the given question both the given chords are equidistant from the center of the circle i.e 3 units, so the Chord PY is congruent to Chord Nl.

Thus, Chord PY is congruent to Chord NL of the circle with center o. Option A is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2


What does the point marked on the green line represent?

Answers

Answer: x-intercept

The x-intercept is the point where a line crosses the x-axis.

All x-intercepts have a y-coordinate of 0.

As an ordered pair, we can write this as (-19.164, 0).

X-intercept as the other person said

What could be the dimensions of the rectangle with an area of 260 square feet?

Answers

Answer:

180*2

Step-by-step explanation:

180*2=260

please mark brainliest

find the x in the tringle

Answers

Answer:

3.5

Step-by-step explanation:

pythagorean therom 1.6^2+3^2=x^2

Answer:

x = 3.4

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, 3 and 1.6, and the "c," is the hypotenuse, which we are trying to find.

[tex]1.6^2+3^2=c^2[/tex]

[tex]2.56 + 9 = c^2[/tex]

→Add like terms (2.56 and 9) together:

[tex]11.56 = c^2[/tex]

→We need to get "c," by itself, and to do this we need to square root both sides, like so:

[tex]\sqrt{11.56} =\sqrt{c^2}[/tex]

[tex]3.4 = c[/tex]

For every 12 slices of pizza sold at Ping's Pizza Shop,
3 slices are pepperoni, 4 are sausage, and the rest are
cheese. What is the ratio of pepperoni to cheese?

Answers

Answer:

3:5 Is the ratio because there are five pieces of cheese.

Step-by-step explanation:

If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.

will give brainliest!!!!

Answers

Answer:

H-1     H-5

T1   T-3

Find the perimeter of the figure when l = 15 m, w = 9 m, x = 3 m, and y = 6 m

Answers

Answer:

54m

Step-by-step explanation:

15+15+9+9+3+3

HELP PLS ASAP I WILL MARK BRAINLIEST!!!!

Answers

Answer:

I think it's 5-2i

Step-by-step explanation:

=(2+3i)+(3-5i)

=2+3i+3-5i

=2+3-5i+3i

=5-2i

hope it helps

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

(0,0)

Step-by-step explanation:

Using the midpoint formula, given that A is at (-1,2) and B is at (1,-2):

[tex]m=\left(\dfrac{-1+1}{2},\dfrac{2+(-2)}{2} \right)=\left(\dfrac{0}{2},\dfrac{0}{2} \right)=(0,0)[/tex]

Hope this helps!

Answer:

using midpoint formula you can see that the answer comes out to be (0,0)

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