1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
3 years ago
5

12a − 3(7 + 5a) help pls

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer:

27a-21

Step-by-step explanation:

12a-3(7+5a)

distribute the 3

3x7=21

3x5a=15a

12a-21+15a

12a+15a=27a

27a-21

Simora [160]3 years ago
4 0

Answer:

-3a-21

Step-by-step explanation:

You might be interested in
Help with these precalculus problems, please.
likoan [24]
Yay, easy peasy, nice refresher


53. evaluate for x=infinity
we get 100/(infiniy^2-5) which is basically 100/infinity which is a very small number so about 0



54.
vertical assemtotes, neato
that is where the denomenator equals 0
but wait, simplify first
ok, fraction is simplified (anything factored out would be a hole)
so set the denom to 0 and solve
x^2-5=0
(x-√5)(x+√5)=0
x=-√5 and √5
vertical assemtotes at x=-√5 and x=√5




55. horizontal assemtotes
for the function p(x)/f(x)

if p(x) has lower degree than f(x) then y=0 is the horizontal assemtote

if p(x) has equal degree to f(x) then divide the leading coefients of p(x) and f(x)

if p(x) has greater degree than f(x) then we got slant assemtotes

100/(x^2-5)
100 has lower degree than x^2
y=0 is the horizontal assemtote



56. evalate for x=-5
we get -150/-10=150/10=15
the limit is 15



57. that negative on the right side means that we must approach it from the left
let's see if we can factor out the denomenator
nope
so go and evaluate values like 4, 4.5, 4.9, etc, approaching x=5 from the left
we keep getting smaller and smaller valuse
this make sense because as x approaches 5, we get 30(c)/(c-5) where c is close to 5, and as c appraoches 5 very close, the top part is appraoching 150 but the bottom approaches a very small negative number, and if we do something like 150/-0.00000000001, we get a very negative number
the limit is negative infinity

alternately, you could figure that there is a vertical assemtote at x=5 so we can see that if we aproximaate closer and closer values, we get smaller values. so from what we know about assemtotes, expecially vertical ones, we say that it approaches negative infinity




58.
evalauating we get infintity/inifinty, not helpful
hmmm, is there a horizontal assemtote to help us?
the degree of top is higher so we got a slant assemtote
the only way is to use long division to divide the top by the bottom (see attachment)
we get
\frac{1}{2}x-\frac{1}{4}+\frac{\frac{1}{4}}{2x+1}
the slant assemtote is y=\frac{1}{2}x-\frac{1}{4}
as you can see, as x approaches infinity, y also will approach infinity











ANSWERS:
53. 0
54. VA is x=-√5 and x=√5
55. HA is y=0
56. the limit is 15
57. the limit is -∞
58. the limit is ∞

6 0
3 years ago
What is the common difference for the sequence shown below?
Alex Ar [27]
It is B because for every point going down, there is 3 to the left and so it is 1/3 and it has to be negative because its going left
4 0
3 years ago
Read 2 more answers
*simplify 5|-3+(-7)|=
Lena [83]

Answer:

-2l -3

Step-by-step explanation:

5l -3+ (-7)l

5l -3 -7l

5l -7l -3

-2l -3

6 0
3 years ago
If u know pls help me I have no clue
deff fn [24]

Answer:

7 ft3

Step-by-step explanation:

8 0
3 years ago
Explain the meaning of a poll that says 44% of Americans approve of the president's policies, with a margin of error of 2% and c
Ivenika [448]

Answer:

We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.

Step-by-step explanation:

A confidence interval of a proportion p% at the x% level with m% margin of error means that:

We are x% sure that the true mean of the population is in the interval from (p-x)% to (p+x)%.

In this problem, we have that

90% confidence level

44% with a margin of error of 2%

So:

We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.

3 0
3 years ago
Other questions:
  • What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
    8·1 answer
  • a triangular prism has a base with a length of 6 in and a height of 8 cm. the height of the whole prism is 12 cm. What is the vo
    11·2 answers
  • What is the area of a rectangle with length 12 meters and width 6 meters? 0.5 m² 2 m² 36 m² 72 m²
    5·1 answer
  • What are the solutions to the quadratic equation 5x2 + 60x = 0?
    12·2 answers
  • I'm completely lost .. help would be greatly appreaciated
    14·1 answer
  • Is this relation a function by using straight line test
    9·1 answer
  • 17 - 2n = 9 what’s the answer ?
    12·1 answer
  • Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how
    13·1 answer
  • help help help please
    11·1 answer
  • the perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the short side. Which equation can be used to
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!