if f(x) is 5x-4 and g(x) is 4x+1 then what is (f-g)(x)

Answer:

15%

Step-by-step explanation:

There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%

Answer:

Step-by-step explanation:1/2 of answer is zero

Answer:

y=1/3x^2+4/3 x -2/3

Step-by-step explanation:

y=1/3x^2+4/3 x -2/3

Answer:

no mistakes

Step-by-step explanation:

There are no mistakes in the derivation of the quadratic formula by completing the square

Step 1

Move c to the right hand side

Step 2 Get x^2 to have a coefficient of 1

Step 3 complete the square by adding ( b/2a) ^2 to each side

Step 4 Write in the completed square form  ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2

Step 5 take the square root of each side, remembering the plus and minus

Step 6 subtract  (b/2a) from each side

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

[tex]x=2y+3[/tex]      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

[tex]x=2(y+1)[/tex]     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

[tex]2y+3=2y+1[/tex]

[tex]3=1[/tex]

You obtain an inconsistency, hence, the situation of the problem does not have solution

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

Answer:

n = 19/6

Step-by-step explanation:

Formula for C(n,r) = n!/(r!(n-r)!)

C(n,3) = n! /( 3! * (n - 3)!)

Formula for P(n,r) = n!/(n-r)!

P(n,2)= n!/(n-2)!

C(n, 3) = P(n, 2)

n! /( 3! * (n - 3)!) = n!/(n-2)!

[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply

n!(n-2)! = n! 3! (n-3)!

(n-3)! = (n-3)(n-2)!

so n!(n-2)! = n! 3! (n-3)! becomes

n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!

1  =6(n-3)

1 =6n -18

19 = 6n

n = 19/6

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

Answer:

(a) 5

(b) 10

(c) 35

(d) 28

(e) 9

(f) 21

Step-by-step explanation:

[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]

(a)

[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]

(b)

[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]

(c)

[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]

(d)

[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]

(e)

[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]

(f)

[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]

Answer:

Hi there!

The correct answer is: 5

Step-by-step explanation:

Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.

Answer:

3n-9<23

You can use any variable you want for n

Answer:

32/3

Step-by-step explanation:

Nine subtracted from the product of 3 and a number is less than 23

-9                                                           3n                          < 23

3n-9 < 23

3n < 23+9

3n < 32

n  < 32/3

Don't forget to say THANKS

Answer:

B

Step-by-step explanation:

Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2

The graph is increasing when it is going upwards, or has a slope greater than 0

We can see that happening in two places in the function, which are the intervals of the x coordinate in B

Answer:

B

Step-by-step explanation:

The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B

Hope this helps!

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

Answer:

B= 3xy

Step-by-step explanation:

6xy^3= 2ₓ3ₓ x ₓyₓyₓy

9x^2y= 3ₓ3ₓ x ₓ x ₓ y

common factors = 3, x , y

HCF:  3 ₓ x ₓ y

     =3xy

Hey there! :)

Answer:

f(-2) = -148.

Step-by-step explanation:

To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:

f(x) = 4x³ -12x² + 40x + 12

Becomes:

f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12

Simplify:

f(-2) = 4(-8) - 12(4) - 80 + 12

f(-2) = -32 - 48 -80 + 12

Finally, you get:

f(-2) = -148.

Answer:

7.02

Step-by-step explanation:

[tex]\frac{18}{100}[/tex] x 39 = 7.02

First write 18% as a decimal by moving the

decimal point two places to the left to get .18.

Next, the word "of" tells us we need to multiply.

So we multiply (.18)(39) to get 7.02.

So 7.02 is 18% of 39.

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

Answer:

Brainliest here!

Step-by-step explanation:

for this, its every number thats either 0 or less than 0

B,D,E

Answer:

either b or c

Step-by-step explanation:

i think

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).

How to plot a graph?

In order to plot a graph, we have to substitute all the x's values into a function.

Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.

By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.

1. If a is positive then the graph will slide left of the units.

2. If a is negative then the graph will slide right of the units.

Given that, y = x² is need to replace with y = (x+7)²

Since 7 is positive so the graph will slide 7 units left.

For more information about the graph

https://brainly.com/question/16608196

#SPJ2

Answer:

1/2 or 0.5

Step-by-step explanation:

since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2

Answer:

1/2

Step-by-step explanation:

There are 2 sides of a coin.

Heads or Tails.

That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.

Answer: 1; -5

Step-by-step explanation:

For this problem, we are asked to find the slope and y-intercept.

We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.

To find the slope, we would use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.

[tex]m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1[/tex]

From our formula, we found that the slope is 1.

For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.

Answer:

y = x - 5

Step-by-step explanation:

One can immediately read off the slope, m, from the graph:  m = 5 / 5 = 1.

The y-intercept is (0, -5).

In slope-intercept form the equation of this graph is y = x - 5

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

Answer:

[tex]s = \frac{3}{10}m[/tex]

I hope this helps!

Answer: s=3/10m

Step-by-step explanation:

I took the math test in Edgenuity.

Hope this helps!

Answer:

y = 8

Step-by-step explanation:

y= [tex]\frac{1}{3} x[/tex] + 6

[tex]x[/tex] = -6

y=([tex]\frac{1}{3}[/tex] x 6) + 6

y= 2+6 = 8

Answer:

[tex]27.6^\circ[/tex]

Step-by-step explanation:

Given:

A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]

ST = 44 feet

TR = 84 feet

To find:

[tex]\angle R = ?[/tex]

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].

We know that formula for tangent of angle [tex]\theta[/tex] is given as:

[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here, Perpendicular for [tex]\angle R[/tex] is side ST and

Base is side TR.

Putting the values in above tangent formula:

[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]

Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.

Answer:

66.1

Step-by-step explanation:

Answer:

[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]

Step-by-step explanation:

[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]

Answer:

See attachment.

Step-by-step explanation:

See attachments.

Answer:

B.)

Step-by-step explanation:

Took test