F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)

Answer:

coordinates of R(x,y) is R(6,-2).

Step-by-step explanation:

A. we know that

The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)

using a graph tool

see the attached figure

Step 1

Find the slope of the line PS

the slope is equal to

m=(y2-y1)/(x2-x1)

mPS=(-4-2)/(3+1)=-6/4=-3/2

Step 2

Find the equation of the line QR

we know that

PS and QR are parallel lines

so

their slopes are the same

mQR=-3/2

with mQR and the point Q(2,4) find the equation of the line

y-y1=m*(x-x1)

y-4=(-3/2)*(x-2)

y=(-3/2)*x+3+4--------> y=7-(3/2)*x

Step 3

Find the equation of the line SR

we know that

SR and QR are perpendicular lines

so

the product of their slopes is equal to minus one

mSR*mQR=-1

mSR=2/3

with mSR and the point S(3,-4) find the equation of the line SR

y-y1=m*(x-x1)

y+4=(2/3)*(x-3)

y=(2/3)*x-2-4---------> y=-6+(2/3)*x

Step 4

Find the intersection of the lines QR and SR

we know that

the intersection of the lines QR and SR is the point R

y=7-(3/2)*x------> equation 1

y=-6+(2/3)*x------> equation 2

equate equation 1 and equation 2

7-(3/2)*x=-6+(2/3)*x

7+6=(2/3)*x+(3/2)*x

13=(2/3)*x+(3/2)*x

Multiply by 6 both sides

6*13=4*x+9*x

13*x=6*13

x=6

find the value of y

y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4

y=-2

therefore, the coordinates of point R are (6,-2)

Answer:

Integers, Whole Numbers, and Natural Numbers are Rational Numbers

Step-by-step explanation:

Hope it helps :3

Answer:

rjeov oke eieie

Step-by-step explanation:

Step-by-step explanation:

2x + 6=2(x+3)

2x+6=2x+6

4x=0

x=0/4

No answer/no solution

2x + 6 = 2(x+3)

2x + 6 =2x+6

2x-2x=6-6

x=0

I guess I was help full for u

Answer:

Step-by-step explanation:

If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...

  A = J +7

  J = 2C

  A + C + J = 157

__

Substituting the first equation into the last, we have ...

  J +7 + C + J = 157

  C +2J = 150 . . . . . . . collect terms, subtract 7

Substituting the second equation into this one, we have ...

  C +2(2C) = 150

  C = 150/5 = 30 . . . .  divide by the coefficient of C

  J = 2·30 = 60

  A = 60 +7 = 67

Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.

Answer:

Ann has 67

Josh has 60

Claire has 30

Answer:

468

Step-by-step explanation:

a=3 and c=39

4(3)(39)

468

i believe you accidently wrote c+39 instead of c=39 :)

Answer:

468

Step-by-step explanation:

Replace:

4(3)(39)

=468

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

Answer:

k​ ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9​

add 2 to both side

7k  ≥ -7

divide both sides by 7

k​ ≥ -1

Answer:

-6. -8 0 3.4 6 8 14

Step-by-step explanation:

I think I am correct

Answer:

-6. -8 0 3.4 6 8 14

Hope I helped ya

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6

Answer:

first it's adding 4 then it starts adding 8

Step-by-step explanation:

Answer:

If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate

X = 11 15 19

Y = 2 10 18

m = (y2 -y1)/(x2 - x1)

m = (10 - 2)/(15 - 11)

M = 8/4 = 2

I hope you find this useful.

If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate

X = 11 15 19

Y = 2 10 18

m = (y2 -y1)/(x2 - x1)

m = (10 - 2)/(15 - 11)

M = 8/4 = 2

I hope you find this useful.

Step-by-step explanation:

Answer:2, -2, 6 or -6

Step-by-step explanation:

Given,

The location of Ann's house in the number line = 0,

∵ Ben lives 4 blocks from Ann.

So, the possible location of Ben's house =  4 ( right of ann's house ) or - 4 ( left of ann's house )

Now, Carl lives 2 blocks from Ben,

So, the possible location of Carl's house

Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )

Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )

Answer:

3.125%

Step-by-step explanation:

1/8=0.125

3+0.125=3.125

Answer:

the answer is

1/32

Step-by-step explanation:

let me know of its right

Answer:

80989.58196

Step-by-step explanation:

Answer:

80,989.5018

Step-by-step explanation:

Answer:

-0.33 repeating

Step-by-step explanation:

2x^2=4x

4x+5x+3=0

combine like terms

9x + 3 = 0

subtract 3 from both sides

9x = -3

divide 9 both sides to get the variable by itself

x = -0.33 repeating

Answer:

[tex]x_1=-\frac{3}{2} \\\\x_2=-1[/tex]

Step-by-step explanation:

the general fromula is

[tex](ax+b)(cx+)d)\\\\=acx^{2} +(ad+bc)x+bd[/tex]

so we need that

[tex]ac=2\\\\ad+bc=5\\\\bd=3[/tex]

for ac = 2

we only have 2 and 1

so let's say

[tex]a=2\\\\c=1[/tex]

so we now have

[tex](2x+b)(x+d)\\\\2x^{2} +(2d+b)x+bd\\\\[/tex]

and for bd = 3

we only have 3 and 1

but we need to

2d +b = 5

so we can have

b=3

and

d=1

so the factorized form is

[tex](2x+3)(x+1)[/tex]

so we come back to

[tex](2x+3)(x+1)=0[/tex]

so here we have two cases

Case 1

[tex](2x+3)=0\\\\2x+3=0\\\\2x=-3\\\\x=-\frac{3}{2}[/tex]

Case 2

[tex](x+1)=0\\\\x+1=0\\\\x=-1[/tex]

so those are our solutions

Answer:

9 and 1/5

Step-by-step explanation:

4*9=36

5*(1/5)=1

Answer:

4*_9_=36   1  point 5 _0.5__=1

Step-by-step explanation:

okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0

Answer:

  4) Stored chemical energy is converted to mechanical energy.

Step-by-step explanation:

The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.

  4) Stored chemical energy is converted to mechanical energy.

Answer:

0 = 0 (infinite solutions)

Step-by-step explanation:

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

Multiply -2 to x and 3

-2x -6 = -2x - 6

Add 2x on one side to get zero, and add 6 to the other side to get 0

0 = 0

There are infinite solutions

Answer:

I and II

Step-by-step explanation:

I: 10 is less than or equal to 2(11) - 1

10 <= 22 - 1

10 <= 21

10 is less than or equal to 21

solution

II: 10 is less than or equal to 2(8) - 1

10 <= 16 - 1

10 <= 15

10 is less than or equal to 15

solution

III: 10 is less than or equal to 2(3) - 1

10 <= 6 - 1

10 <= 5

10 is not less than or equal to 5

not a solution

Answer:

The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1

Step-by-step explanation:

Answer:

x = 3, -1, 2, -2

Step-by-step explanation:[tex]x^{2}[/tex]

6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0

6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0

Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule

Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.

ie: if [tex]x[/tex] = 3,

6(3-3)(3+2)(3-2)(3+1) = 0

0=0

RHS = LHS therefore true

Answer:

6

Step-by-step explanation:

you would round 5.823 to 6 because the first decimal place it higher than 5 a way to remember this is 5 or more let it soar(round up) 4 or less let it rest( keep the whole number and remove the decimal)

Answer:

Integers are whole positive numbers and whole negative numbers decimals are not integers.

Step-by-step explanation:

Answer:

No, a decimal is a Rational number. Integers are whole numbers.

Step-by-step explanation:

Real number system Diagram Below

Step-by-step explanation:

here is the answer with the solution.

Step-by-step explanation:

1+6+8+9+7-5+81

= 107

....

114 = 19y

This is true because they are vertical angles. Now, let's divide both sides by 19

6 = y

Answer:

The value of y° must be 6°

Step-by-step explanation:

19y° = 114°{being vertically opposite angle}

or, y° = 114°/19

or, y° = 6°

Answer: X = 3

x2 = 9

x = 3

Step-by-step explanation:

All you have to do is divide!

Answer:

I hope yo got the answer