Help me with this question ​

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]

And we want to find:

[tex](f - g)(x)[/tex]

Recall that this is equivalent to:

[tex]= f(x) - g(x)[/tex]

Substitute:

[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]

Simplify:

[tex]= -x^2 + (x+4)^2[/tex]

Perfect square trinomial:

[tex]= -x^2 + (x^2 + 8x + 16)[/tex]

Combine like terms. Therefore:

[tex]= 8x + 16[/tex]

In conclusion:

[tex](f - g)(x) = 8x + 16[/tex]

Our answer is D.

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

Answer:

Line 1: (9+x)x

Line 2: x(9 + x)

The order of multiplies changed.

This is called a Commutative Property of Multiplication.

Line 3: x(x+9)

The order of added terms within parenthesis changed.

This is called a Commutative Property of Addition.

Line-1 to Line 2- Commutative property of multiplication

Line-2 to Line-3 =Commutative property of addition

Lets solve

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x^2+9x[/tex]

Answer:

The points that were given are not on the graph of y=3x+2.

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b

Mx is your slope to rise with and b is your y-intercept to run with.

Rise/run. I just put the important stuff in bold.

Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.

but there have given the formula of g(x) and f(x) ,put it

Answer:

4y-5x-44=0

Step-by-step explanation:

It passes through one point with the formula being

y-y1=m(x-x1)

y-6=5/4(x-(-4))

y-6=5/4(x+4)

cross multiply

4(y-6)=5(x+4)

4y-24=5x+20

collect like terms

4y-5x=20+24

4y-5x=44

4y-5x-44=0

Answer:

Step-by-step explanation:

I will ASSUME you want an equation

In slope/intercept form it is

6 = (5/4)(-4) + b

b = 11

y = (5/4)x + 11

or in slope/point form is

(y - 6) = (5/4)(x + 4)

Answer:

Step-by-step explanation:

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical

opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

We have to find integration of f(x) having upper limit 1.05 and lower limit 1

[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]

[tex]\\ \rm\longmapsto 2.4[/tex]

Step-by-step explanation:

here ,

the total cost of copy is rs 5 and 3 upin 4 =5.75

the total cost of book is rs 15 and 5 upon 6 =12.5

so the cost of book is more then copy by 6.75(12.5-5.75)

9514 1404 393

Answer:

  13

Step-by-step explanation:

If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...

  ∠POQ +∠QOS = ∠POR +∠ROS

  ∠ROS = ∠POQ +∠QOS -∠POR

  ∠ROS = 28 +46 -61 = 13

Answer:

SP=Rs.700

Step-by-step explanation:

cost price of a copy=R's.25

cost price of 20copy=20×25=Rs.500

profit=Rs.200

selling price of 20 copies=?

Now, we know that,

profit=sp-cp

or, 200=sp-500

or, 200+500=sp

thus, SP=Rs.700

Hence, the selling price of 20copies is 700.

Answer:

y = -5x - 5.

Step-by-step explanation:

10x + 2y = -10        Add -10x to both sides:-

2y = -10x - 10         Divide through by 2:-

y = -5x - 5.

Answer:

Ab paralelo DC

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4/3 cup for 3 dozen.

how many cups for 18 dozen ?

what factor do I need to use to turn 3 into 18 ?

3×x = 18

x = 18/3 = 6

so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).

therefore, we need

4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.

Answer:

7-15= -8

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):

180-135 = 45 degrees

180-100 = 80 degrees

Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:

180-80-45 = 55 degrees

This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.

I hope this helps!

Answer:

four hundred and thirty two million, five hundred and fifty three thousand, six hundred and two

Step-by-step explanation:

Answer:

Four hundred thirty-two million, five hundred fifty-three thousand, six hundred and two.

Step-by-step explanation:

Answer:

.7

Step-by-step explanation:

On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.

HOPE THIS HELPED

Answer:

.5

Step-by-step explanation:

the bigger the number the smaller the number

the answer is 5

Answer:

No. Only positive whole integers are considered natural numbers

Answer:

volume of a cylinder

V= TTr² h

V= volume

TT= pie

h= height

Step-by-step explanation:

Note: radius is 2times diameter ... if you are given diameter and to convert to radius, divide the diameter by 2

V=TTr²h

r= 8/2 =4cm

V= 3×4²×12

V=3×16×12=576cm³

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60   ==>   50-60

60 < score ≤ 70   ==>   60-70

70 < score ≤ 80   ==>   70-80

80 < score ≤ 90   ==>   80-90

90 < score ≤ 100   ==>   90-100

Then a student who scored a 60 should be added to the 50-60 category.

Answer:

4 miles per hour

Step-by-step explanation:

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

[tex]\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 1.025\℅[/tex]

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{37}{100}[/tex]

    1.735

Decimal value is  -  TENTHS

Fraction value is - [tex]\frac{1735}{1000}[/tex]

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{6075}{1000}[/tex]

      27.05

Decimal value is  - ONES

Fraction value is -  [tex]\frac{2705}{100}[/tex]

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{127}{1000}[/tex]

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{3007}{1000}[/tex]