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

Answer:

[tex]S_{10}=280[/tex]

Step-by-step explanation:

Given that,

[tex]t_n=2n+3[/tex] ...(1)

We need to find the value of [tex]S_{10}[/tex].

Put n = 1 to find the first term.

[tex]t_1=2(1)+3=5[/tex]

Put n = 2 to find the second term.

[tex]t_2=2(2)+3=7[/tex]

Put n = 3 to find the third term.

[tex]t_3=2(3)+3=9[/tex]

Put n = 10 to find the tenth term.

[tex]t_{10}=2(10)+3=23[/tex]

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]

We have, n = 10, a = 5 and [tex]a_n=23[/tex]

So,

[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]

So, the value of [tex]S_{10}[/tex] is equal to 280.

Answer: =−nx+3n+x−5

Step-by-step explanation:

47m at least I think it is

Answer:

2 1/5 - 5/6 = 41/30

Step-by-step explanation:

Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.

Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.

1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30

Your expression now would be 2 6/30 - 25/30

You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction

2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.

Your new expression would be:

66/30 -  25/30

Now you can subtract 66 - 25 and you get 41

Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

Answer:

y = 2x - 17

Step-by-step explanation:

y = mx + b

m = 2

y = 2x + b

Plug in (5, -7) for x & y.

-7 = 2(5) + b

-7 = 10 + b

Subtract 10 from both sides.

-17 = b

y = 2x - 17

Check work.

-7 = 2(5) - 17

-7 = 10 - 17

- 7 = -7

Your answer is correct.

Answer:

so over alll I got 1800

Step-by-step explanation:

for number 1

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Answer:

About 3

Step-by-step explanation:

Step-by-step explanation:

10 men =4 days

8 men =x days

cross multiply

10×x=8×4=24

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

Answer:

NRs. 8925

Step-by-step explanation:

176 dollars = 100 pounds

132 dollars = ??? pounds

Using cross-multiplication, we get:

176 dollars x ??? pounds = 100 pounds x 132 dollars

??? pounds = (100 pounds x 132 dollars)/ 176 dollars

??? pounds = 75 pounds

Now, 1 pound = NRs. 119

So 75 pounds = NRs. ???

Using cross-multiplication again, we get:

1 pound x NRs. ??? = NRs. 119 x 75 pounds

NRs. ??? = (NRs. 119 x 75 pounds)/1 pound

NRs. ??? = NRs. 8925  

So the answer is 8925 Nepali rupees

The Nepali rupees can be exchanged with 132 dollar should be considered as the NRs. 8925

Since

176 dollars = 100 pounds

And, for 132 dollars = ??? pounds

So here we applied cross multiplication

176 dollars x ??? pounds = 100 pounds x 132 dollars

??? pounds = (100 pounds x 132 dollars)/ 176 dollars

??? pounds = 75 pounds

Also, 1 pound = NRs. 119

Now

1 pound x NRs. ??? = NRs. 119 x 75 pounds

NRs. ??? = (NRs. 119 x 75 pounds)/1 pound

NRs. ??? = NRs. 8925  

Learn more about pound here: https://brainly.com/question/1929794

Answer:

[tex]x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\4x+8>\ or =\ 5(3-x)\\Hence,\\We\ can\ treat\ inequality\ in\ the\ same\ way\ we\ do\ for\ solving\ equalities.\\Hence,\\4x+8>\ or\ =\ 5(3-x)\\By\ simplifying\ the\ RHS,\\4x+8 >\ or\ =\ 15-5x\\Hence,\\Adding\ (+5x)\ to\ the\ LHS\ and\ RHS,\\4x+8+(5x) >\ or\ =\ 15-5x+(5x)\\Simplifying,\\5x+4x+8 >\ or\ =\ 15+(5x-5x)\\9x+8 >\ or\ =\ 15\\Adding\ (-8)\ to\ both\ LHS\ and\ RHS,\\9x+8+(-8) >\ or\ =\ 15+(-8)\\Simplifying,\\9x+(8-8) >\ or\ =\ 7\\[/tex]

[tex]9x >\ or\ =7\\x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

4x+8≥5(3-x)

4x+8≥15-5x

adding 5x on each term

4x+5x+8≥15-5x+5x

9x+8≥15

subtract each term by 8

9x+8-8≥15-8

9x≥7

dividing each term by 9

9x/9=7/9

x≥7/9

is your answer

Answer: surface area is 215.27; volume is 297.1

Step-by-step explanation:

you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3

Answer:

hwope this helps ＼(=^‥^)/’`

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

2:6 common multiple is 2 so 2:6 divide by 2 is 1:3

Answer:

1:3

Step-by-step explanation:

this is the answer understand

Answer:

5

Step-by-step explanation:

i anserwed it on the test

Answer

A=1,597.06

Step-by-step explanation:

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

Answer:

k = 1

Step-by-step explanation:

Given that,

[tex]f(x) = x^3 +kx + 2[/tex]

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]

So, the value of k is 1.

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2

Answer:

[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]

and,

[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]

Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

Answer:

He will is able win

Step-by-step explanation:

Answer:

he is able to win

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

i guessed on edge lol

Answer:

2.5

Step-by-step explanation:

[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]

Answer:

A, C

Step-by-step explanation:

6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2

dividing 6 by 1/2 is the same as multiplying 6 by 2