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3 years ago

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Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Answer:

10+8=8+5+5

Step-by-step explanation:

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Jill flipped a coin 40 times. The coin landed as heads 28 times and tails 12 times. Based on her results, which of the following

ella [17]

There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)

8 0

3 years ago

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A bicycle has a listed price of $551.99 before tax. If the sales tax rate is 9.25% , find the total cost of the bicycle with sal

shepuryov [24]

Answer:

$603.05

Step-by-step explanation:

551.99x9.25%=51.06

551.99+51.06=603.05

7 0

3 years ago

Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a

HACTEHA [7]

Answer:

$\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)$

Step-by-step explanation:

<u>Factored Form Of Polynomials </u>

If we know the roots of a polynomial as

$\alpha _1,\alpha _2,\alpha _3$

the polynomial can be expressed in factored form as

$a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)$

We are given two of the three roots of the polynomial:

$\alpha _1=1-3i$

$\alpha _2=2$

The other root must be the conjugate of the complex root:

$\alpha _3=1+3i$

Recall the product of two complex conjugate numbers is

$(1-3i)(1+3i)=1^2-(3i)^2=1+9=10$

The required polynomial is

$P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)$

$P(x)=a(x^2+2x+10)(x-2)$

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

$P(0)=10$

$P(0)=a(0^2+2(0)+10)(0-2)=10$

$-20a=10$

Thus the value of a is

$\displaystyle a=-\frac{1}{2}$

The expression of the required polynomial is

$\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}$

5 0

3 years ago

Can you please help me?l

juin [17]

3*500 3* 80 3*4 that is your anser

6 0

3 years ago

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Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

Grace [21]

Given:

Consider the below figure attached with this question.

In Circle Y, Chords R T and S U intersect.

Arc RS is 106 degrees.

The angle that intercepts arc RS is 94 degrees.

To find:

The measure of arc(TU).

Solution:

If two chords intersect each other insider the circle, then the half of sum of intercepted arcs is equal to the angle on intersection of those arcs.

For the given problem,

$\dfrac{1}{2}[m(arc RS)+m(arc TU)]=94^\circ$

$\dfrac{1}{2}[106^\circ+m(arc TU)]=94^\circ$

$106^\circ+m(arc TU)=2\times 94^\circ$

$106^\circ+m(arc TU)=188^\circ$

$m(arc TU)=188^\circ-106^\circ$

$m(arc TU)=82^\circ$

The measure of arc(TU) is 82 degrees.

Therefore, the correct option is A.

6 0

3 years ago

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