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labwork [276]
3 years ago
6

Write a quadratic equation that has x-intercepts of -1/3 and 5/2

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
<h2>Answer:6x^{2}-13x-5</h2>

Step-by-step explanation:

Given that the two roots of the quadratic equation are \frac{-1}{3} and \frac{5}{2}.

If \alpha,\beta are the roots of the quadratic equation,the equation is (x-\alpha )(x-\beta ).

It is given that \alpha =\frac{-1}{3} and \beta =\frac{5}{2}.

So,the equation is

(x-(\frac{-1}{3}))(x-\frac{5}{2})

=x^{2}-\frac{5}{2}x+\frac{x}{3}-\frac{5}{6}

=6x^{2}-13x-5

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Please answer the question in the picture below
Elanso [62]
The answer is b because there is a negative in the exponent and the number needs to be a single digit and 54 is double digit. hope this helps!
5 0
3 years ago
Inverse relations and functions quiz
a_sh-v [17]

Answer:

what are you asking?

Step-by-step explanation:

3 0
3 years ago
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

                                                    = $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0
3 years ago
3q(p-q)+2r(p-q)-S(q-p)<br> Can u solve it step by step
Artyom0805 [142]

Answer:

-3q² + 3qp + 2rp - 2rq + Sq - Sp

Step-by-step explanation:

first part

3q(p-q) = 3qp - 3q²

second part

2r(p-q) = 2rp - 2rq

third part

S(q-p) = Sq - Sp

then we put it all together

3qp - 3q² + 2rp - 2rq + Sq - Sp

in the right place possibly

-3q² + 3qp + 2rp - 2rq + Sq - Sp

8 0
2 years ago
A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the d
Montano1993 [528]

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

5 0
2 years ago
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