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3 years ago

If f(x) = 3x + 2 and

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) = 3x + 2, g(x) = 2x - 2.

Substitute:

(f - g)(x) = (3x + 2) - (2x - 2) = 3x + 2 - 2x - (-2) = 3x + 2 - 2x + 2

<em>combine like terms</em>

(f - g)(x) = (3x - 2x) + (2 + 2) = x + 4

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Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2

-BARSIC- [3]

Answer:

6 $\frac{1}{2}$

Step-by-step explanation:

you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2

or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2

7 0

3 years ago

Lee is creating a garden with the dimensions shown.

den301095 [7]

Answer:

AB= 12.94ft, 108deg

ZY= 6.76ft 50deg

XY 3.05ft, 22deg

Pathway adds up to 22.95ft

Step-by-step explanation:

AB is base

Sides 8 feet each = isosceles. =8ft, 8ft, 12.94ft

Top angle is 36 degree = 36°.36°,108°

ZY is base

Sides 8 feet each = isosceles = 8ft, 8ft, 6.76ft

Top angle is 65° = 65° 65° 50 °

XY is base

Sides 8 feet each =isosceles =8ft, 8ft, 3.05ft

Top angle is 79° degree = 79°,79 °,22 °

Pathway means triangles in a row side by side = Product of 3 values = ? feet

12.94 +6.76 + 3.05 =22.95ft pathway

8 0

3 years ago

Read 2 more answers

Please help ASAP

sleet_krkn [62]

$A=P(1+ \frac{r}{n})^ \frac{t}{n}$
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years

how many years to double
basically
A=2P at t=?
so we can simplify and ignore the pricipal given and do
$2=(1+ \frac{r}{n})^ \frac{t}{n}$
r=7%=0.07
n=2 (semiannualy means 2 times per year)
t=t

$2=(1+ \frac{0.07}{2})^ \frac{t}{2}$
$2=(1+ 0.035)^ \frac{t}{2}$
$2=(1.035)^ \frac{t}{2}$
take the ln of both sides
$ln2=(\frac{t}{2})ln1.035$
divide both sides by ln1.035
$\frac{ln2}{ln1.035} = \frac{t}{2}$
times 2 both sides
$\frac{2ln2}{ln1.035} =t$
use calculator
40.2976=t
nearest tenth
40.3
about 40.3 years

4 0

4 years ago

Please help! i'm not really good at these, thank u sm if u help!

Archy [21]

Answer:

Correct: a, b, c, d, f, g, h, i, l

Incorrect: e, j, k

Step-by-step explanation:

a. -120=60(-2) {insert x and y into the equation and see if it works} Correct

b. 60 is being multiplied by hours, so it is the mph Correct

c. 60 is always the one being multiplied, so it's the constant Correct

d. 210=60(3.5) {insert 3.5 as x [cause hours] and see if it equals 210 [it does]} Correct

e. y is the dependent variable, and it represent miles driven Incorrect

f. Direct variation equation is y=kx {in the equation, k=60} Correct

g. x is the independent variable, and it represents the hours driven Correct

h. The x and the y are proportional Correct

i. y is the dependent variable, and it represent miles driven Correct

j. y is the dependent variable, and it represent miles driven Incorrect

k. Rise=y Run=x The first point would be (1,60) {rise=60 run=1} Incorrect

l. (0,0) is a solution, and it is also the y-intercept Correct

(hope this helps :P)

8 0

3 years ago

PLEASE HELP URGENT!!!!!!

arlik [135]

9514 1404 393

Answer:

12/11 = 1 1/11 hours

Step-by-step explanation:

The total rate is the sum of the individual rates in rooms per hour.

Tom can paint 1/4 room per hour.

Sam and Victor can each paint 1/3 room per hour.

Their total rate is ...

1/4 +1/3 +1/3 = 11/12 . . . rooms per hour

The rate in "hours per room" is the inverse of this.

It takes them 12/11 = 1 1/11 hours to paint one room.

6 0

3 years ago