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NARA [144]
3 years ago
14

Help due soon......​

Mathematics
2 answers:
vivado [14]3 years ago
3 0

Answer:

Step-by-step explanation:

let x=1.8888...

 10x=18.8888...

10x-x=18.8888...- 1.8888...

  9x=17

    x=17/9

So 1.8888... is equal to 17/9

Vesna [10]3 years ago
3 0

Answer:

1,888 is equal \frac{17}{9}

Step-by-step explanation:

x = 1,888...

10x = 18,88...

10x - x = 18,88 - 1,88

9x = 17

x = \frac{17}{9}

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Ethan says that the value of 40.7 is 10 times the value of 4.07 is be correct?
VLD [36.1K]

Answer:

He is correct

Step-by-step explanation:

multiplication and division are inverse operations so lets divide to see if he is correct

40.7/10=4.07

he is correct

8 0
3 years ago
Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
decide whether enough information is given to prove that the triangle is congruent using the SAS congruence theorem. if so, writ
Paladinen [302]

Answer:

Step-by-step explanation:

Given:

ΔCAD and ΔCBD

∠A ≅∠B (Angle)

AD ≅BD (Side)

From the graph we see that

CD≅CD (Side)

because of reflexive propriety ( a line segment is congruent with itself)

If you put in order those congruencies we have SSA witch does NOT prove congruence.

we not use SAS because the angle between the sides is not congruent

8 0
3 years ago
15) Yanni received her monthly credit card statement in the mail, the summary of which is shown below. When she
Sergeu [11.5K]

Answer:

  D.  $3,776.28

Step-by-step explanation:

The finance charge should be ...

  $3558.71 × 1.75% = $62.28 . . . . . . not $82.28

The new balance should be $20 less than what is shown, so should be ...

  $3,776.28

4 0
3 years ago
In the morning, the temperature was 15∘F. During the day, the temperature fell 37 degrees. Which expression shows how to find th
tino4ka555 [31]

Answer:

- 22°F

Step-by-step explanation:

Given that :

Morning temperature = 15°F

Change in temperature = fall by 37 degree

The temperature of the end of the day:

Morning temperature + (change in temperature)

Fall by 37° = decrease in temperature by 37° = - 37°

15°F + (-37°F)

15°F - 37°F

= - 22°F

6 0
2 years ago
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