2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?

I tried to figure it out but i can't. i need to show the work and i don't know how to do it.

Andreas93 [3]

Integration Formula:

$\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C$

Integrate each term:

$\int\ {x^{2}} \, dx = \frac{x^{3}}{3}$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {5} \, dx = 5x$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {2} \, dx = 2x$

Altogether this becomes:

$\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}$

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

$\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}$

-

x = 1:

$[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}$ [/tex]

x = 2:

$\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}$

-

x = 1: $\frac{\frac{8}{3} - 2-10 }{ 2+4}$

=

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: $-\frac{3}{2} +In\frac{4}{3}$

7 0

2 years ago

5(–9a–1)+7? so me on e an sw er pl ea se

il63 [147K]

Answer:

5(–9a–1)+7=0

5(-9a-1)=-7

-9a-1=-7/5

9a+1=7/5

9a=7/5 +1

a=(7+5)/(5×9)=35/45=7/9

3 0

2 years ago

Read 2 more answers

many school districts have a summer-vacation that is 72 days long .what is the percent of the entire year is summer vacation?

vichka [17]

19.73% is 72 days of the year

7 0

2 years ago

I need help if you get it right I will mark you

pav-90 [236]

Answer:

%30 off is the better price

Step-by-step explanation:

firstly we know that 2 - 12 is equal to 10 so that is $10.00 there from that coupon

to find out the second value, we first devide by the total amount (%100 in this case)

12 / 100 = 10.12

then we multiply by the partial amount (%30)

0.12 * 30 = 3.6

convert that into a dollar amount and we get the total discount in dollars

3.60 = $3.60

AND

$3.60 > $2.00

hope this helps ya, take care mate :D

6 0

3 years ago

Read 2 more answers

PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles th

PIT_PIT [208]

Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters. If your teacher just wants one, it would be the middle one. (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB

Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters. If your teacher just wants one, it would be the middle one. (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB

6 0

3 years ago