2/3x - 7 < 9
help please

Given:

The function is

[tex]f(x)=4x+9[/tex]

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set  of output values.

We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

[tex]f(-4)=4(-4)+9[/tex]

[tex]f(-4)=-16+9[/tex]

[tex]f(-4)=-7[/tex]

Putting x=-2 in the given function, we get

[tex]f(-2)=4(-2)+9[/tex]

[tex]f(-2)=-8+9[/tex]

[tex]f(-2)=1[/tex]

Putting x=0 in the given function, we get

[tex]f(0)=4(0)+9[/tex]

[tex]f(0)=0+9[/tex]

[tex]f(0)=9[/tex]

Putting x=2 in the given function, we get

[tex]f(2)=4(2)+9[/tex]

[tex]f(2)=8+9[/tex]

[tex]f(2)=17[/tex]

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

Answer:

The answer is that her mom will donate $2.

Step-by-step explanation:

From the information given, you can use a rule of three to find the amount her mom will donate if Emily bikes 15 miles given that her mother pledges 10 cents for every 0.75 miles:

0.75 miles → 0.10

  15 miles  →    x

x=(15*0.10)/0.75

x= 2

According to this, the answer is that her mom will donate $2.

Answer: X=19

Step-by-step explanation:

Add up everything and set it to 180 degrees so (5x+4)+(x-2)+(3x+7)=180

next 9x+9=180

then 9x=171

x=19

If you want to check by pluggin in value for x for all angles and it should equal 180 added up

Angle POS= 99

Angle SOR= 17

Angle ROQ= 64

99+17+64=180 degrees

Answer:

i have made it in above picture

hope it helps

Answer: D . a translation of 2 units to the left and 7 units up

Answer: A translation of 2 units to the left and 7 units up

Step-by-step explanation: Just took the quiz:)

Answer:

800 miles

Step-by-step explanation:

Let the amount of miles = m

Company A charges a flat rate of $160 a day, and $0.60 per mile:

total = 0.60m + 160

Company B charges a flat rate of $80 a day, and $0.70 per mil:

total = 0.70m + 80

Set both equations equal to each other:

0.60m + 160 = 0.70m + 80

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Subtract 0.70m and 160 from both sides:

0.60m (-0.70m) + 160 (-160) = 0.70m (-0.70m) + 80 (-160)

0.60m - 0.70m = 80 - 160

Simplify:

-0.10m = -80

Isolate the variable, m. Divide -0.10 to both sides:

(-0.10m)/(-0.10) = (-80)/(-0.10)

m = 80/0.10

m = 800

At 800 miles, the rental costs are the same.

Answer:

Add all given lengths:

Step-by-step explanation:

6 + 10 = 16 + 4 = 20 + 15 = 35

Answer:

Diagonals of a parallelogram bisect each other

So, 6x-57=3x+3

6x-3x=3+57

3x=60

x=60/3

x=20

Answer:

Y = 3x + 1

Y = 3x - 1

Step-by-step explanation:

A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.

Answer:

Step-by-step explanation:

(-4 , -7) ; slope = (2/3)

y -y1 =m(x-x1)

[tex]y -[-7]=\frac{2}{3}(x-[4])\\\\y+7 = \frac{2}{3}(x+4)\\\\y+7=\frac{2}{3}x+4*\frac{2}{3}\\\\y +7 = \frac{2}{3}x+\frac{8}{3}\\\\y=\frac{2}{3}x+\frac{8}{3}-7\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{7*3}{1*3}\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{21}{3}\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

Answer:

Gusion = 2years

Lesley= 40years

Step-by-step explanation:

Let Guison age be x

Let Lesley age be y

If the sum of the ages of Gusion and Lesley is 42, then;

x+ y =42 ... 1

Four years ago

Guison age = x - 4

Lesley age = y - 4

If four years ago, Gusion was twice as old as Lesley, then;

x - 4 = 2(y-4)

x - 4 = 2y - 9

x - 2y = -9+4

x - 2y = -5 .... 2

Substract 1 from 2;

y + 2y = 1+5

3y = 6

y = 2

From 1;

x = 42 - y

x = 42-2

x = 40

Hence present age pf Guison is 2 years

Present age of Lesley is 40 years

Answer:

30/34 =

Step-by-step explanation:

Answer:

X= 14

Step-by-step explanation:

Answer:

Exact form X=1/14

Decimal form x=0.0714285

Answer:

7

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

SA formula is 2lw+2lh+2hw

Answer:

x > 0.44

Step-by-step explanation:

-6 >-2 – 9x

9x > 4

x > 0.44444444

about 0.44

Answer:

best person always get best position

Answer: Can you tell me how do you want it answered?

Step-by-step explanation:

Answer:

O conjunto B é dado por: B = {4, 5, 6, 7, 8}

Step-by-step explanation:

A U B= { 1,2,3,4,5,6,7,8}

Todos os elementos pertencem a pelo menos um desses conjuntos.

A intersecção B = {4,5}

Os elementos 4 e 5 pertencem a pelo menos um desses conjuntos. Então, tem-se os dois primeiros elementos de B, que são 4 e 5.

A-B = { 1,2,3}

1, 2, 3 são os elementos que pertencem ao conjunto A e não pertencem ao conjunto B.

Como A U B= { 1,2,3,4,5,6,7,8}, tem-se que os elementos 4, 5, 6, 7 e 8 pertencem ao conjunto B.

O conjunto B é dado por: B = {4, 5, 6, 7, 8}

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

Answer:

265°

Step-by-step explanation:

I think we have to minus 200 - 115 = 85

then plus them with 85 and 95 so

85 + 85+ 95 = 265°C

i hope this helps a little bit

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

Area= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2

Step-by-step explanation:

Diameter= 8x^2y^8z^16, So Radius= (8x^2y^8z^16)/2

Area of circle= pie* r*r

= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2

Answer:

5/3

the only thing you have to do is look where the arrow touches a point on a line(if that makes sense), there should be 2 points touching, you just go up and to the right, count how many units u rose and how many units u went to the side, put them into a fraction and you get your answer!

Answer: if this uses the Pythagorean theorem then it’s the square root of 83.24

Step-by-step explanation: the formula is a^2+b^2=c^2 the hypotenuse is c^2

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²