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
blsea [12.9K]
3 years ago
8

(4x + 4)(ax – 1) – x2 +4

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the x^{2} terms and the constant terms must be cancel out.

Simplify it first.

(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the x^{2} terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}

If we put a = ¼, then we can find the value of b:

=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\

=-3x

bx=-3x\\      if the  expression is equivalent to bx

Therefore, b = –3.

You might be interested in
Gina has been present at school for 40 of the first 45 days of the school year. The school year is 180 days long. If Gina contin
guapka [62]

The answer is going to be 160.

6 0
3 years ago
Read 2 more answers
spends 2 hours and 20 minutes trading stickers and 125 minutes doing homework. What activity does he spend more time on? How muc
dimulka [17.4K]
Answer: He spends more time trading stickers by 15 minutes.
Step-by-step: 1 hour is 60 minutes. So 2 hours is 120 minutes. 120 minutes plus his 20 minutes is 140 minutes. Subtract it from his homework time and he spends 15 more minutes trading stickers.
7 0
3 years ago
As – 16a,<br> as – 4a3,<br> 2a3 + 8a - 4a2 - 16
vfiekz [6]

Answer:

1) as-16a

taknig a as common

=a(s-16)

2)as-4a³

taking a as common

=a(s-4a²)

3)2a³+8a-4a²-16

taking common terms

=2a(a²+4)-4(a²+4)

=(2a-4)(a²+4)

again taking common

=2(a-2)(a²+4)

i hope this will help you :)

7 0
3 years ago
Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation
il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and  (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0
3 years ago
Can you guys help me out pls
kozerog [31]
Answer is for sure b
8 0
3 years ago
Other questions:
  • Help me on Algebra it may look easy but to me it is hard
    13·1 answer
  • Elizabeth has 87.75 feet of banner paper how many banners can she make that are 11.25 feet long. explain
    9·1 answer
  • In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs
    13·1 answer
  • Write the rule for the table below help me pleaseeeeeeeeee
    15·1 answer
  • Use set builder notation to give a description of each of these sets. a) {0,3,6,9,12} b) {−3,−2,−1,0,1,2,3} c) {m,n,o,p}
    13·1 answer
  • What is the value of the product (4 - 21)(6 + 2/)?<br> 20 - 41<br> 20 + 161<br> 28 + 161<br> 28 - 41
    15·1 answer
  • .. pls help me....!!!!! Determine whether the point (-2,4) satisfy y&lt;3x+5,y=3x+5 or y &gt;3x+5..​
    13·1 answer
  • Is (2,3) a solution of the system
    6·1 answer
  • 4 1/4 x 2 9/10 x 2 1/2=
    5·2 answers
  • PLEASE HELP! Will give brainliest! A bag contains 5 pink marbles and 6 green marbles. Two marbles will be selected one at a time
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!