For f(x) = 3x + 4, find f(2) and find x such that f(x) = 17

Answers

Answer 1
Answer: f(x) = 3x+ 4
⇒ f(2)= 3*2+ 4= 10
The basic idea is that you replace all x values with 2 to find f(2).

f(x) = 17
⇒ 3x+ 4= 17 (for f(x)= 3x+ 4)
⇒ 3x= 17-4
⇒ 3x= 13
⇒ x= 13/3
⇒ x= 4 1/3

f(2)= 10
f(x)=17 when x= 4 1/3

Hope this helps~

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Help? I'll mark brainliest

Answers

Answer:

x=6 y=3

Step-by-step explanation:

x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6

steps for patient medication decrease 25 mg per day for one week. Whats the change at end of the week?

Answers

The answer would be 25 mg minus the last day of the week
The change at the end of the week is 175

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=(d)/(2)=(12)/(2)=6 in

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: (Hypotenuse)^2=(base)^2+(perpendicular\;side)^2

Using pythagorous theorem

OB^2=(6)^2+(8)^2=100

OB=√(100)=10 in

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

Multiply out the expression (y+9) (y+2)
Please show working if possible! Thanks in advance x

Answers

(y+9)(y+2)\n\n=y\cdot y+y\cdot2+9\cdot y+9\cdot2\n\n=y^2+2y+9y+18\n\n=y^2+11y+18

Please help me out please

Answers

Answer:

31

Step-by-step explanation:

For rectangle ABCD, AC and BD are the lengths of the diagonals. The diagonals of a rectangle are congruent.

AC = BD

3x + 7 = 131 - x

Add x to both sides.

4x + 7 = 131

Subtract 7 from both sides.

4x = 124

Divide both sides by 4.

x = 31

Find the slope and​ y-intercept of the line
x+2y=6

Answers

x+2y=6

-x          -x

2y = -x + 6

y = -1/2x + 3

The slope is -1/2 and y-int is 3