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Maslowich
3 years ago
9

Two functions are given.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Hi

f(x) = g(x)   if    -x²+3x-2   - ( -x+1) = 0

                      -x² +3x-2 +x-1 = 0

                      -x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.  

To determine if it's has a solution in R, let's calculate  Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28  

as Δ≥ 0  so  the function allow two solution within R  

so S 1 =  ( -4 +√28) / 2            S 2 =   (-4 -√28 ) /2

    S1 =   ( -4 + 2√7) /2            S2 =    (-4 - 2√7) /2

    S1 =    (2 (-2 +√7) /2            S2      2 (-2 -√7)   /2

    S1 =    -2 +√7                       S2 =      -2 -√7

So the two function  are equal   twice. one  for   x = -2 +√7  and second x = -2-√7

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Mama L [17]

9514 1404 393

Answer:

  (b)  (1, 1/6)

Step-by-step explanation:

The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).

That point is not specifically shown on the graph. It would be (1, 1/6).

8 0
2 years ago
HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS
soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0
3 years ago
The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?
Cloud [144]

Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

V2 = 4/3 * π * (r/7)^3

V2 = 4/3 * π * (r^3)/343

Thus we can conclude that the value of the volume will be decreased by a factor of 343

Meaning the ratio of the old volume to the new volume will be 1 to 343

3 0
3 years ago
Read 2 more answers
PLS HELP
solmaris [256]

Answer:

I think the number of terms are 3

6 0
3 years ago
Read 2 more answers
In 2015 han was paid £1350 per month what was his average pay per hour in 2016
ASHA 777 [7]

His average pay was:

Answer:

£1350

----------- = £8.44/hr   based upon  160 work hours per week

160 hr

Step-by-step explanation:

We must assume that Han works a standard 40-hour week, and that there are 4 weeks in each month.  That comes to 160 hours.

Then his average hourly pay rate was

£1350

--------- = £8.44

160 hr

3 0
3 years ago
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