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Harman [31]
3 years ago
8

What are the solutions of the quadratic equation x^2=9x+6

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0
See Quadratic Formula and Determinant's/Delta's formula

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Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
sleet_krkn [62]

Answer:

Set builder notation: {a | a ≥ -21}

Interval notation: [-21, ∞)

Step-by-step explanation:

A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.

Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.

Given -3a-15≤-2a+6; solving :

-3a - 15 ≤ -2a + 6

-3a + 2a ≤ 6 + 15

-a ≤ 21

dividing through by -1:

a ≥ -21

The solution is:

Set builder notation: {a | a ≥ -21}

Interval notation: [-21, ∞)

7 0
2 years ago
Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt
grin007 [14]
What do you think is the first step

4 0
3 years ago
Find the zeroes of polynomial x² -(√3+1)x+√3
r-ruslan [8.4K]
X² - √3x -x +√3

x(x-√3) -(x-√3)

(x-√3)(x-1)

zeroes are x-√3 = 0
                 x = √3

and x-1 =0
       x =1
6 0
3 years ago
To determine whether the means of two populations are equal,
worty [1.4K]

Answer:

The correct option is C. either a t test or an analysis of variance can be performed.

Step-by-step explanation:

Consider the provided information.

  • The t-test, is used for whether the means of two groups are equal or not. The assumption for the test is that both groups are sampled from normal distributions with equal variances.
  • Analysis of Variance (ANOVA) is a statistical method evaluating variations between two or more methods. ANOVA is used in a study to analyze the gaps between group methods.
  • ANOVA is used not for specific differences between means, but for general testing.
  • The chi-squared test is often used to evaluate whether there was a significant difference in one or more groups between the predicted frequencies and the observed frequencies.

Hence, Either a t test or an analysis of variance can be performed to determine whether the means of two population are equal.

Therefore, the correct option is C. either a t test or an analysis of variance can be performed.

4 0
3 years ago
Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.
Aleksandr-060686 [28]

Answer:

  • 3x + 6 = 12; Distributive Property

Step-by-step explanation:

  • 3(x + 2) = 12

<u>The next step is:</u>

  • 3*x + 3*2 = 12
  • 3x + 6 = 12

This is a distributive property

Correct choice is A

3 0
3 years ago
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