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
nekit [7.7K]
3 years ago
12

Solve the inequality -1>-2(x-4)-5(4x-7)

Mathematics
2 answers:
Vadim26 [7]3 years ago
5 0

Answer:

x>2

Step-by-step explanation:

-1>-2(x-4)-5(4x-7)

opening brackets

-1>-2x+8-20x+35

-1>-2x-20x+8+35

-1>-22x+43

-1-43>-22x

-44>-22x

by canceling the sign of minus we change the sign of inequality

44<22x

x>2

i hope it will help you

g100num [7]3 years ago
4 0

Answer:

Inequality Form - x>2

Interval Notation - (2,∞ )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

You might be interested in
Val has 2 hours to finish a slide presentation. It takes her 1/6 hour to create each slide. Will Val have enough time to create
katrin2010 [14]
Yes Val would have enough time to create 10 slides.

5 0
3 years ago
HELP!! Algebra help!! Will give stars thank u so much &lt;333
Anna35 [415]

Answers:

  • Part a)  \bf{\sqrt{x^2+(x^2-3)^2}
  • Part b)  3
  • Part c)   2.24
  • Part d)  1.58

============================================================

Work Shown:

Part (a)

The origin is the point (0,0) which we'll make the first point, so let (x1,y1) = (0,0)

The other point is of the form (x,y) where y = x^2-3. So the point can be stated as (x2,y2) = (x,y). We'll replace y with x^2-3

We apply the distance formula to say...

d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(0-x)^2+(0-y)^2}\\\\d = \sqrt{(0-x)^2+(-y)^2}\\\\d = \sqrt{x^2 + y^2}\\\\d = \sqrt{x^2 + (x^2-3)^2}\\\\

We could expand things out and combine like terms, but that's just extra unneeded work in my opinion.

Saying d = \sqrt{x^2 + (x^2-3)^2} is the same as writing d = sqrt(x^2-(x^2-3)^2)

-------------------------------------------

Part (b)

Plug in x = 0 and you should find the following

d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(0) = \sqrt{0^2 + (0^2-3)^2}\\\\d(0) = \sqrt{(-3)^2}\\\\d(0) = \sqrt{9}\\\\d(0) = 3\\\\

This says that the point (x,y) = (0,3) is 3 units away from the origin (0,0).

-------------------------------------------

Part (c)

Repeat for x = 1

d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(1) = \sqrt{1^2 + (1^2-3)^2}\\\\d(1) = \sqrt{1 + (1-3)^2}\\\\d(1) = \sqrt{1 + (-2)^2}\\\\d(1) = \sqrt{1 + 4}\\\\d(1) = \sqrt{5}\\\\d(1) \approx 2.23606797749979\\\\d(1) \approx 2.24\\\\

-------------------------------------------

Part (d)

Graph the d(x) function found back in part (a)

Use the minimum function on your graphing calculator to find the lowest point such that x > 0.

See the diagram below. I used GeoGebra to make the graph. Desmos probably has a similar feature (but I'm not entirely sure). If you have a TI83 or TI84, then your calculator has the minimum function feature.

The red point of this diagram is what we're after. That point is approximately (1.58, 1.66)

This means the smallest d can get is d = 1.66 and it happens when x = 1.58 approximately.

6 0
2 years ago
ANY JESUS HELPERS PLEASE HELP The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4
wariber [46]

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

2(y + 4) = 4y

Distribute

2y + 8 = 4y

Step 2 is incorrect because the added instead of multiplied

Continuing on to correct the problem

Subtract 2y from each side

2y+8-2y = 4y-2y

8 = 2y

Divide by 2

8/2 = 2y/2

4 =y

3 0
3 years ago
Read 2 more answers
A sequence is defined by the formula f(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?
julsineya [31]

f(n) = f(n+1) +3

f(1) = f(2) +3

f(2) =f(3) +3

f(3) = f(4) +3

So f(1) = f(n) + 3* (n-1)

Put n=4 here so you found

f(1) = f(4) + 3* 3

= 22 +9

=31 ans




                             hope it helps

5 0
3 years ago
Read 2 more answers
Please hurry find the measure of S
Andrews [41]

Answer:

m∠S = 29.5

Explanation:

     Q

S \huge\boxed {\sf \triangle} R

In this triangle, QR = SQ, which means its an isosceles triangle, angle S and R is similar.

<u>Thus solve:</u>

m∠S = (180° - 121°)/2

m∠S = 29.5°

3 0
2 years ago
Read 2 more answers
Other questions:
  • This is confusing could someone Help.
    5·2 answers
  • A boat costs 19,200 and decreases in value by 12% per year. how much will the boat be worth after 5 years
    5·2 answers
  • Find the vertex of h(x)=(x+6)^2
    13·1 answer
  • UREKA MATH
    14·1 answer
  • Help anyone can somebody explain the answer please
    10·2 answers
  • Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
    7·1 answer
  • You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and
    15·1 answer
  • If y=7.2 and r= 1.1 have been rounded to 1 decimal place find the possible value of y x r
    9·1 answer
  • Use a calculator to find the natural logarithm, base e.<br><br> In 744.1
    8·1 answer
  • I NEED HELP ASAP!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!