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Anna11 [10]
3 years ago
5

Graph y=5/3x-9 in slope intercept

Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

Step-by-step explanation:

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo
anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

4 0
3 years ago
Read 2 more answers
10=c+d<br> c is one more than d <br> what is the value of c?<br>with working out
Leya [2.2K]
C= 5.5 I'm pretty sure that's the answer

d= 4.5 and c+ 5.5
Because 4.5 plus 1.0 = 5.5
since c is one more than d

5.5 plus 4.5 = 10
5 0
3 years ago
Will give brainliest <br><br> What is the value of x?<br> x = [?]
vichka [17]

Answer:

Step-by-step explanation:

28

3 0
3 years ago
Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
4 years ago
Exercise 59 use the table to evaluate the given expressions
Arlecino [84]

Answer:  f(0) = 5.5     f(2) = 3.7

<u>Step-by-step explanation:</u>

\begin {array}{c|c|c|c|c|c}x&0&1&2&3&4\\ f(x)&5.5&4.3&3.7&2.5&1.9\\\end{array}


When x = 0, f(x) = 5.5   <em>In other words, f(0) = 5.5</em>

When x = 2, f(x) = 3.7   <em>In other words, f(2) = 3.7</em>

5 0
3 years ago
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