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3 years ago

14

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

1 answer:

dmitriy555 [2]3 years ago

3 0

A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0 (quadratic equation)

2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0 (not a quadratic equation)

5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4 (quadratic equation)

5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0 (not a quadratic equation)

Therefore, options a and c can be solved using the quadratic formula.

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Charles earns $8.75 per hour at his part-time job. On Sunday, he worked 4.25 hours. What were his total earnings for the day?

Step2247 [10]

Ok so if he earns 8.75 per hour the we have to multiply 8.75*4.25=37.1875 so in total he earns 37.19

7 0

2 years ago

Answer C,D,E,F<br><br><br>Snsjma

Ulleksa [173]

Answer:

f) $97° = m∠6$

e) $83° = m∠5$

d) $83° = m∠4$

c) $97° = m∠3$

b) $97° = m∠2$

a) $83° = m∠1$

Step-by-step explanation:

m∠5 ≅ m∠4; Angle Correspondence Theorem
m∠5 ≅ m∠1; Alternate Interior Angles Theorem
m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]

I am joyous to assist you anytime.

6 0

4 years ago

Mrs. Potter divides the Grade 8 class of 21 students into few equal groups. The number of

Yuri [45]

Answer:

Step-by-step explanation:

list of prime numbers from 1-21

2,3,5,7,11,13,17,19

he has 21 students

the only numbers he can divide by is 3 and 7

21/3=7

21/7=3

7 0

3 years ago

Adriano wants to get a new cell phone plan. Company A: $80 for a new phone in the monthly fee of $45 a month. Company B: she can

Degger [83]

Answer: it will take 2 months.

Step-by-step explanation:

Let x represent the number of months it will take for the total cost for both companies to be equal.

Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be

80 + 45x

Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be

85x

For the total cost for both companies to be equal, the number of months would be

80 + 45x = 85x

85x - 45x = 80

40x = 80

x = 80/40 = 2

3 0

3 years ago

consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if n

Elanso [62]

The sum of functions is given as:

$(f+g)(x)=f(x)+g(x)$

In this case we have:

$(f+g)(x)=5x+\sqrt[]{x-1}$

The domain of the functions is any number that makes the squared root a real number, then:

$\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}$

Hence the domain of the functions is:

$\lbrack1,\infty)$

5 0

1 year ago